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d3-geo-projection\n\nExtended geographic projections for [d3-geo](https://github.com/d3/d3-geo). See [Command-Line Cartography](https://medium.com/@mbostock/command-line-cartography-part-1-897aa8f8ca2c) for an introduction.\n\n## Installing\n\nIf you use npm, `npm install d3-geo-projection`. You can also download the [latest release on GitHub](https://github.com/d3/d3-geo-projection/releases/latest). For vanilla HTML in modern browsers, import d3-geo-projection from Skypack:\n\n```html\n<script type=\"module\">\n\nimport {geoAitoff} from \"https://cdn.skypack.dev/d3-geo-projection@4\";\n\nconst projection = geoAitoff();\n\n</script>\n```\n\nFor legacy environments, you can load d3-geo-projection’s UMD bundle from an npm-based CDN such as jsDelivr; a `d3` global is exported:\n\n```html\n<script src=\"https://cdn.jsdelivr.net/npm/d3-array@3\"></script>\n<script src=\"https://cdn.jsdelivr.net/npm/d3-geo@3\"></script>\n<script src=\"https://cdn.jsdelivr.net/npm/d3-geo-projection@4\"></script>\n<script>\n\nconst projection = d3.geoAitoff();\n\n</script>\n```\n\n## API Reference\n\n* [Projections](#projections)\n* [Interrupted Projections](#interrupted-projections)\n* [Polyhedral Projections](#polyhedral-projections)\n* [Quincuncial Projections](#quincuncial-projections)\n* [Transformations](#transformations)\n\n### Projections\n\nNote: projections tagged \\[d3-geo\\] are exported by [d3-geo](https://github.com/d3/d3-geo), not d3-geo-projection. These commonly-used projections are also included in the [d3](https://github.com/d3/d3) default bundle.\n\n<a href=\"#geoAiry\" name=\"geoAiry\">#</a> d3.<b>geoAiry</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/airy.js), [Examples](https://observablehq.com/@d3/airys-minimum-error)\n<br><a href=\"#geoAiryRaw\" name=\"geoAiryRaw\">#</a> d3.<b>geoAiryRaw</b>(<i>beta</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/airy.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/airys-minimum-error)\n\nAiry’s minimum-error azimuthal projection.\n\n<a href=\"airy_radius\" name=\"airy_raidus\">#</a> <i>airy</i>.<b>radius</b>([<i>radius</i>])\n\nDefaults to 90°.\n\n<a href=\"#geoAitoff\" name=\"geoAitoff\">#</a> d3.<b>geoAitoff</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/aitoff.js), [Examples](https://observablehq.com/@d3/aitoff)\n<br><a href=\"#geoAitoffRaw\" name=\"geoAitoffRaw\">#</a> d3.<b>geoAitoffRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/aitoff.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/aitoff)\n\nThe Aitoff projection.\n\n<a href=\"#geoAlbers\" name=\"geoAlbers\">#</a> d3.<b>geoAlbers</b>() · [Source](https://github.com/d3/d3-geo/blob/master/src/projection/albers.js) [\\[d3-geo\\]](https://github.com/d3/d3-geo/blob/master/README.md#geoAlbers)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo/master/img/albers.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/conic-equal-area)\n\nAlbers’ [equal-area conic projection](#geoConicEqualArea).\n\n<a href=\"#geoArmadillo\" name=\"geoArmadillo\">#</a> d3.<b>geoArmadillo</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/armadillo.js), [Examples](https://observablehq.com/@d3/armadillo)\n<br><a href=\"#geoArmadilloRaw\" name=\"geoArmadilloRaw\">#</a> d3.<b>geoArmadilloRaw</b>(<i>phi0</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/armadillo.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/armadillo)\n\nThe armadillo projection. The default center assumes the default [parallel](#armadillo_parallel) of 20° and should be changed if a different parallel is used. Note: requires clipping to the sphere.\n\n<a href=\"#armadillo_parallel\" name=\"armadillo_parallel\">#</a> <i>armadillo</i>.<b>parallel</b>([<i>parallel</i>])\n\nDefaults to 20°.\n\n<a href=\"#geoAugust\" name=\"geoAugust\">#</a> d3.<b>geoAugust</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/august.js), [Examples](https://observablehq.com/@d3/august)\n<br><a href=\"#geoAugustRaw\" name=\"geoAugustRaw\">#</a> d3.<b>geoAugustRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/august.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/august)\n\nAugust’s epicycloidal conformal projection.\n\n<a href=\"#geoAzimuthalEqualArea\" name=\"geoAzimuthalEqualArea\">#</a> d3.<b>geoAzimuthalEqualArea</b>() · [Source](https://github.com/d3/d3-geo/blob/master/src/projection/azimuthalEqualArea.js) [\\[d3-geo\\]](https://github.com/d3/d3-geo/blob/master/README.md#geoAzimuthalEqualArea), [Examples](https://observablehq.com/@d3/azimuthal-equal-area)\n<br><a href=\"#geoAzimuthalEqualAreaRaw\" name=\"geoAzimuthalEqualAreaRaw\">#</a> d3.<b>geoAzimuthalEqualAreaRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo/master/img/azimuthalEqualArea.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/azimuthal-equal-area)\n\nThe Lambert azimuthal equal-area projection.\n\n<a href=\"#geoAzimuthalEquidistant\" name=\"geoAzimuthalEquidistant\">#</a> d3.<b>geoAzimuthalEquidistant</b>() · [Source](https://github.com/d3/d3-geo/blob/master/src/projection/azimuthalEquidistant.js) [\\[d3-geo\\]](https://github.com/d3/d3-geo/blob/master/README.md#geoAzimuthalEquidistant), [Examples](https://observablehq.com/@d3/azimuthal-equidistant)\n<br><a href=\"#geoAzimuthalEquidistantRaw\" name=\"geoAzimuthalEquidistantRaw\">#</a> d3.<b>geoAzimuthalEquidistantRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo/master/img/azimuthalEquidistant.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/azimuthal-equidistant)\n\nThe azimuthal equidistant projection.\n\n<a href=\"#geoBaker\" name=\"geoBaker\">#</a> d3.<b>geoBaker</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/baker.js), [Examples](https://observablehq.com/@d3/baker-dinomic)\n<br><a href=\"#geoBakerRaw\" name=\"geoBakerRaw\">#</a> d3.<b>geoBakerRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/baker.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/baker-dinomic)\n\nThe Baker Dinomic projection.\n\n<a href=\"#geoBerghaus\" name=\"geoBerghaus\">#</a> d3.<b>geoBerghaus</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/berghaus.js), [Examples](https://observablehq.com/@d3/berghaus-star)\n<br><a href=\"#geoBerghausRaw\" name=\"geoBerghausRaw\">#</a> d3.<b>geoBerghausRaw</b>(<i>lobes</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/berghaus.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/berghaus-star)\n\nBerghaus’ star projection. The default center assumes the default [lobe number](#berghaus_lobes) of 5 and should be changed if a different number of lobes is used. Note: requires clipping to the sphere.\n\n<a href=\"#berghaus_lobes\" name=\"berghaus_lobes\">#</a> <i>berghaus</i>.<b>lobes</b>([<i>lobes</i>]) · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/berghaus.js)\n\nIf *lobes* is specified, sets the number of lobes in the resulting star, and returns this projection. If *lobes* is not specified, returns the current lobe number, which defaults to 5.\n\n<a href=\"#geoBertin1953\" name=\"geoBertin1953\">#</a> d3.<b>geoBertin1953</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/bertin.js)\n<br><a href=\"#geoBertin1953Raw\" name=\"geoBertin1953Raw\">#</a> d3.<b>geoBertin1953Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/bertin1953.png\" width=\"480\" height=\"250\">](https://visionscarto.net/bertin-projection-1953)\n\nJacques Bertin’s 1953 projection.\n\n<a href=\"#geoBoggs\" name=\"geoBoggs\">#</a> d3.<b>geoBoggs</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/boggs.js), [Examples](https://observablehq.com/@d3/boggs-eumorphic)\n<br><a href=\"#geoBoggsRaw\" name=\"geoBoggsRaw\">#</a> d3.<b>geoBoggsRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/boggs.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/boggs-eumorphic)\n\nThe Boggs eumorphic projection. More commonly used in [interrupted form](#geoInterruptedBoggs).\n\n<a href=\"#geoBonne\" name=\"geoBonne\">#</a> d3.<b>geoBonne</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/bonne.js), [Examples](https://observablehq.com/@d3/bonne)\n<br><a href=\"#geoBonneRaw\" name=\"geoBonneRaw\">#</a> d3.<b>geoBonneRaw</b>(<i>phi0</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/bonne.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/bonne)\n\nThe Bonne pseudoconical equal-area projection. The [Werner projection](https://observablehq.com/@d3/werner) is a limiting form of the Bonne projection with a standard parallel at ±90°. The default center assumes the default [parallel](#bonne_parallel) of 45° and should be changed if a different parallel is used.\n\n<a href=\"#bonne_parallel\" name=\"bonne_parallel\">#</a> <i>bonne</i>.<b>parallel</b>([<i>parallel</i>])\n\nDefaults to 45°.\n\n<a href=\"#geoBottomley\" name=\"geoBottomley\">#</a> d3.<b>geoBottomley</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/bottomley.js), [Examples](https://observablehq.com/@d3/bottomley)\n<br><a href=\"#geoBottomleyRaw\" name=\"geoBottomleyRaw\">#</a> d3.<b>geoBottomleyRaw</b>(<i>sinPsi</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/bottomley.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/bottomley)\n\nThe [Bottomley projection](https://cybergeo.revues.org/3977) “draws lines of latitude as concentric circular arcs, with arc lengths equal to their lengths on the globe, and placed symmetrically and equally spaced across the vertical central meridian.”\n\n<a href=\"#bottomley_fraction\" name=\"bottomley_fraction\">#</a> <i>bottomley</i>.<b>fraction</b>([<i>fraction</i>])\n\nDefaults to 0.5, corresponding to a sin(ψ) where ψ = π/6.\n\n<a href=\"#geoBromley\" name=\"geoBromley\">#</a> d3.<b>geoBromley</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/bromley.js), [Examples](https://observablehq.com/@d3/bromley)\n<br><a href=\"#geoBromleyRaw\" name=\"geoBromleyRaw\">#</a> d3.<b>geoBromleyRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/bromley.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/bromley)\n\nThe Bromley projection is a rescaled [Mollweide projection](#geoMollweide).\n\n<a href=\"#geoChamberlin\" name=\"geoChamberlin\">#</a> d3.<b>geoChamberlin</b>(<i>point0</i>, <i>point1</i>, <i>point2</i>) · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/chamberlin.js)\n<br><a href=\"#geoChamberlinRaw\" name=\"geoChamberlinRaw\">#</a> d3.<b>geoChamberlinRaw</b>(<i>p0</i>, <i>p1</i>, <i>p2</i>)\n\nThe Chamberlin trimetric projection. This method does not support [*projection*.rotate](https://github.com/d3/d3-geo/blob/master/README.md#projection_rotate): the three reference points implicitly determine a fixed rotation.\n\n<a href=\"#geoChamberlinAfrica\" name=\"geoChamberlinAfrica\">#</a> d3.<b>geoChamberlinAfrica</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/chamberlin.js)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/chamberlinAfrica.png\" width=\"480\" height=\"250\">](https://bl.ocks.org/mbostock/5625053)\n\nThe Chamberlin projection for Africa using points [0°, 22°], [45°, 22°], [22.5°, -22°].\n\n<a href=\"#geoCollignon\" name=\"geoCollignon\">#</a> d3.<b>geoCollignon</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/collignon.js), [Examples](https://observablehq.com/@d3/collignon)\n<br><a href=\"#geoCollignonRaw\" name=\"geoCollignonRaw\">#</a> d3.<b>geoCollignonRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/collignon.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/collignon)\n\nThe Collignon equal-area pseudocylindrical projection. This projection is used in the polar areas of the [HEALPix projection](#geoHealpix).\n\n<a href=\"#geoConicConformal\" name=\"geoConicConformal\">#</a> d3.<b>geoConicConformal</b>() · [Source](https://github.com/d3/d3-geo/blob/master/src/projection/conicConformal.js) [\\[d3-geo\\]](https://github.com/d3/d3-geo/blob/master/README.md#geoConicConformal), [Examples](https://observablehq.com/@d3/conic-conformal)\n<br><a href=\"#geoConicConformalRaw\" name=\"geoConicConformalRaw\">#</a> d3.<b>geoConicConformalRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo/master/img/conicConformal.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/conic-conformal)\n\nThe Lambert conformal conic projection.\n\n<a href=\"#geoConicEqualArea\" name=\"geoConicEqualArea\">#</a> d3.<b>geoConicEqualArea</b>() · [Source](https://github.com/d3/d3-geo/blob/master/src/projection/conicEqualArea.js) [\\[d3-geo\\]](https://github.com/d3/d3-geo/blob/master/README.md#geoConicEqualArea), [Examples](https://observablehq.com/@d3/conic-equal-area)\n<br><a href=\"#geoConicEqualAreaRaw\" name=\"geoConicEqualAreaRaw\">#</a> d3.<b>geoConicEqualAreaRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo/master/img/conicEqualArea.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/conic-equal-area)\n\nAlbers’ conic equal-area projection.\n\n<a href=\"#geoConicEquidistant\" name=\"geoConicEquidistant\">#</a> d3.<b>geoConicEquidistant</b>() · [Source](https://github.com/d3/d3-geo/blob/master/src/projection/conicEquidistant.js) [\\[d3-geo\\]](https://github.com/d3/d3-geo/blob/master/README.md#geoConicEquidistant), [Examples](https://observablehq.com/@d3/conic-equidistant)\n<br><a href=\"#geoConicEquidistantRaw\" name=\"geoConicEquidistantRaw\">#</a> d3.<b>geoConicEquidistantRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo/master/img/conicEquidistant.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/conic-equidistant)\n\nThe conic equidistant projection.\n\n<a href=\"#geoCraig\" name=\"geoCraig\">#</a> d3.<b>geoCraig</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/craig.js), [Examples](https://observablehq.com/@d3/craig)\n<br><a href=\"#geoCraigRaw\" name=\"geoCraigRaw\">#</a> d3.<b>geoCraigRaw</b>(<i>phi</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/craig.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/craig)\n\nThe Craig retroazimuthal projection. Note: this projection tends to [fold over itself](https://bl.ocks.org/mbostock/4459716) if the [standard parallel](#craig_parallel) is non-zero; we have not yet implemented the necessary advanced clipping to avoid overlap.\n\n<a href=\"#craig_parallel\" name=\"craig_parallel\">#</a> <i>craig</i>.<b>parallel</b>([<i>parallel</i>])\n\nDefaults to 0°.\n\n<a href=\"#geoCraster\" name=\"geoCraster\">#</a> d3.<b>geoCraster</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/craster.js), [Examples](https://observablehq.com/@d3/craster)\n<br><a href=\"#geoCrasterRaw\" name=\"geoCrasterRaw\">#</a> d3.<b>geoCrasterRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/craster.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/craster)\n\nThe Craster parabolic projection; also known as Putniņš P4.\n\n<a href=\"#geoCylindricalEqualArea\" name=\"geoCylindricalEqualArea\">#</a> d3.<b>geoCylindricalEqualArea</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/cylindricalEqualArea.js), [Examples](https://observablehq.com/@mbostock/cylindrical-equal-area-projections)\n<br><a href=\"#geoCylindricalEqualAreaRaw\" name=\"geoCylindricalEqualAreaRaw\">#</a> d3.<b>geoCylindricalEqualAreaRaw</b>(<i>phi0</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/cylindricalEqualArea.png\" width=\"480\" height=\"250\">](https://observablehq.com/@mbostock/cylindrical-equal-area-projections)\n\nThe cylindrical equal-area projection. Depending on the chosen [parallel](#cylindricalEqualArea_parallel), this projection is also known as the Lambert cylindrical equal-area (0°), Behrmann (30°), Hobo–Dyer (37.5°), Gall–Peters (45°), Balthasart (50°) and Tobler world-in-a-square (~55.654°).\n\n<a href=\"#cylindricalEqualArea_parallel\" name=\"cylindricalEqualArea_parallel\">#</a> <i>cylindricalEqualArea</i>.<b>parallel</b>([<i>parallel</i>])\n\nDefaults to approximately 38.58°, fitting the world in a 960×500 rectangle.\n\n<a href=\"#geoCylindricalStereographic\" name=\"geoCylindricalStereographic\">#</a> d3.<b>geoCylindricalStereographic</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/cylindricalStereographic.js), [Examples](https://observablehq.com/@d3/cylindrical-stereographic)\n<br><a href=\"#geoCylindricalStereographicRaw\" name=\"geoCylindricalStereographicRaw\">#</a> d3.<b>geoCylindricalStereographicRaw</b>(<i>phi0</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/cylindricalStereographic.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/cylindrical-stereographic)\n\nThe cylindrical stereographic projection. Depending on the chosen [parallel](#cylindricalStereographic_parallel), this projection is also known as Braun’s stereographic (0°) and Gall’s stereographic (45°).\n\n<a href=\"#cylindricalStereographic_parallel\" name=\"cylindricalStereographic_parallel\">#</a> <i>cylindricalStereographic</i>.<b>parallel</b>([<i>parallel</i>])\n\nDefaults to 0°.\n\n<a href=\"#geoEckert1\" name=\"geoEckert1\">#</a> d3.<b>geoEckert1</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/eckert1.js), [Examples](https://observablehq.com/@d3/eckert-i)\n<br><a href=\"#geoEckert1Raw\" name=\"geoEckert1Raw\">#</a> d3.<b>geoEckert1Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/eckert1.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/eckert-i)\n\nThe Eckert I projection.\n\n<a href=\"#geoEckert2\" name=\"geoEckert2\">#</a> d3.<b>geoEckert2</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/eckert2.js), [Examples](https://observablehq.com/@d3/eckert-ii)\n<br><a href=\"#geoEckert2Raw\" name=\"geoEckert2Raw\">#</a> d3.<b>geoEckert2Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/eckert2.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/eckert-ii)\n\nThe Eckert II projection.\n\n<a href=\"#geoEckert3\" name=\"geoEckert3\">#</a> d3.<b>geoEckert3</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/eckert3.js), [Examples](https://observablehq.com/@d3/eckert-iii)\n<br><a href=\"#geoEckert3Raw\" name=\"geoEckert3Raw\">#</a> d3.<b>geoEckert3Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/eckert3.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/eckert-iii)\n\nThe Eckert III projection.\n\n<a href=\"#geoEckert4\" name=\"geoEckert4\">#</a> d3.<b>geoEckert4</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/eckert4.js), [Examples](https://observablehq.com/@d3/eckert-iv)\n<br><a href=\"#geoEckert4Raw\" name=\"geoEckert4Raw\">#</a> d3.<b>geoEckert4Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/eckert4.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/eckert-iv)\n\nThe Eckert IV projection.\n\n<a href=\"#geoEckert5\" name=\"geoEckert5\">#</a> d3.<b>geoEckert5</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/eckert5.js), [Examples](https://observablehq.com/@d3/eckert-v)\n<br><a href=\"#geoEckert5Raw\" name=\"geoEckert5Raw\">#</a> d3.<b>geoEckert5Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/eckert5.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/eckert-v)\n\nThe Eckert V projection.\n\n<a href=\"#geoEckert6\" name=\"geoEckert6\">#</a> d3.<b>geoEckert6</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/eckert6.js), [Examples](https://observablehq.com/@d3/eckert-vi)\n<br><a href=\"#geoEckert6Raw\" name=\"geoEckert6Raw\">#</a> d3.<b>geoEckert6Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/eckert6.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/eckert-vi)\n\nThe Eckert VI projection.\n\n<a href=\"#geoEisenlohr\" name=\"geoEisenlohr\">#</a> d3.<b>geoEisenlohr</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/eisenlohr.js), [Examples](https://observablehq.com/@d3/eisenlohr)\n<br><a href=\"#geoEisenlohrRaw\" name=\"geoEisenlohrRaw\">#</a> d3.<b>geoEisenlohrRaw</b>(<i>lambda</i>, <i>phi</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/eisenlohr.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/eisenlohr)\n\nThe Eisenlohr conformal projection.\n\n<a href=\"#geoEquirectangular\" name=\"geoEquirectangular\">#</a> d3.<b>geoEquirectangular</b>() · [Source](https://github.com/d3/d3-geo/blob/master/src/projection/equirectangular.js) [\\[d3-geo\\]](https://github.com/d3/d3-geo/blob/master/README.md#geoEquirectangular), [Examples](https://observablehq.com/@d3/equirectangular)\n<br><a href=\"#geoEquirectangularRaw\" name=\"geoEquirectangularRaw\">#</a> d3.<b>geoEquirectangularRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo/master/img/equirectangular.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/equirectangular)\n\nThe equirectangular (plate carrée) projection. The [Cassini projection](https://observablehq.com/@d3/cassini) is the transverse aspect of the equirectangular projection.\n\n<a href=\"#geoFahey\" name=\"geoFahey\">#</a> d3.<b>geoFahey</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/fahey.js), [Examples](https://observablehq.com/@d3/fahey)\n<br><a href=\"#geoFaheyRaw\" name=\"geoFaheyRaw\">#</a> d3.<b>geoFaheyRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/fahey.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/fahey)\n\nThe Fahey pseudocylindrical projection.\n\n<a href=\"#geoFoucaut\" name=\"geoFoucaut\">#</a> d3.<b>geoFoucaut</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/foucaut.js), [Examples](https://observablehq.com/@d3/foucaut)\n<br><a href=\"#geoFoucautRaw\" name=\"geoFoucautRaw\">#</a> d3.<b>geoFoucautRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/foucaut.png\" width=\"480\" height=\"250\">](https://www.jasondavies.com/maps/foucaut/)\n\nFoucaut’s stereographic equivalent projection.\n\n<a href=\"#geoFoucautSinusoidal\" name=\"geoFoucautSinusoidal\">#</a> d3.<b>geoFoucautSinusoidal</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/foucautSinusoidal.js), [Examples](https://observablehq.com/@d3/foucaut-sinusoidal)\n<br><a href=\"#geoFoucautSinusoidalRaw\" name=\"geoFoucautSinusoidalRaw\">#</a> d3.<b>geoFoucautSinusoidalRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/foucautSinusoidal.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/foucaut-sinusoidal)\n\nFoucaut’s sinusoidal projection, an equal-area average of the sinusoidal and Lambert’s cylindrical projections.\n\n<a href=\"#foucautSinusoidal_alpha\" name=\"foucautSinusoidal_alpha\">#</a> <i>foucautSinusoidal</i>.<b>alpha</b>([<i>alpha</i>])\n\nRelative weight of the cylindrical projection. Defaults to 0.5.\n\n<a href=\"#geoGilbert\" name=\"geoGilbert\">#</a> d3.<b>geoGilbert</b>([<i>type</i>]) · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/gilbert.js), [Examples](https://observablehq.com/@d3/gilbert)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/gilbert.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/gilbert)\n\nGilbert’s two-world perspective projection. Wraps an instance of the specified projection *type*; if not specified, defaults to [d3.geoOrthographic](https://github.com/d3/d3-geo/blob/master/README.md#geoOrthographic).\n\n<a href=\"#geoGingery\" name=\"geoGingery\">#</a> d3.<b>geoGingery</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/gingery.js), [Examples](https://observablehq.com/@d3/gingery)\n<br><a href=\"#geoGingeryRaw\" name=\"geoGingeryRaw\">#</a> d3.<b>geoGingeryRaw</b>(<i>rho</i>, <i>lobes</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/gingery.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/gingery)\n\nThe U.S.-centric Gingery world projection, as inspired by Cram’s Air Age. Note: requires clipping to the sphere.\n\n<a href=\"#gingery_radius\" name=\"gingery_radius\">#</a> <i>gingery</i>.<b>radius</b>([<i>radius</i>]) · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/gingery.js)\n\nDefaults to 30°.\n\n<a href=\"#gingery_lobes\" name=\"gingery_lobes\">#</a> <i>gingery</i>.<b>lobes</b>([<i>lobes</i>]) · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/gingery.js)\n\nDefaults to 6.\n\n<a href=\"#geoGinzburg4\" name=\"geoGinzburg4\">#</a> d3.<b>geoGinzburg4</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/ginzburg4.js), [Examples](https://observablehq.com/@d3/ginzburg-iv)\n<br><a href=\"#geoGinzburg4Raw\" name=\"geoGinzburg4Raw\">#</a> d3.<b>geoGinzburg4Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/ginzburg4.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/ginzburg-iv)\n\nThe Ginzburg IV projection.\n\n<a href=\"#geoGinzburg5\" name=\"geoGinzburg5\">#</a> d3.<b>geoGinzburg5</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/ginzburg5.js), [Examples](https://observablehq.com/@d3/ginzburg-v)\n<br><a href=\"#geoGinzburg5Raw\" name=\"geoGinzburg5Raw\">#</a> d3.<b>geoGinzburg5Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/ginzburg5.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/ginzburg-v)\n\nThe Ginzburg V projection.\n\n<a href=\"#geoGinzburg6\" name=\"geoGinzburg6\">#</a> d3.<b>geoGinzburg6</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/ginzburg6.js), [Examples](https://observablehq.com/@d3/ginzburg-vi)\n<br><a href=\"#geoGinzburg6Raw\" name=\"geoGinzburg6Raw\">#</a> d3.<b>geoGinzburg6Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/ginzburg6.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/ginzburg-vi)\n\nThe Ginzburg VI projection.\n\n<a href=\"#geoGinzburg8\" name=\"geoGinzburg8\">#</a> d3.<b>geoGinzburg8</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/ginzburg8.js), [Examples](https://observablehq.com/@d3/ginzburg-viii)\n<br><a href=\"#geoGinzburg8Raw\" name=\"geoGinzburg8Raw\">#</a> d3.<b>geoGinzburg8Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/ginzburg8.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/ginzburg-viii)\n\nThe Ginzburg VIII projection.\n\n<a href=\"#geoGinzburg9\" name=\"geoGinzburg9\">#</a> d3.<b>geoGinzburg9</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/ginzburg9.js), [Examples](https://observablehq.com/@d3/ginzburg-ix)\n<br><a href=\"#geoGinzburg9Raw\" name=\"geoGinzburg9Raw\">#</a> d3.<b>geoGinzburg9Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/ginzburg9.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/ginzburg-ix)\n\nThe Ginzburg IX projection.\n\n<a href=\"#geoGnomonic\" name=\"geoGnomonic\">#</a> d3.<b>geoGnomonic</b>() · [Source](https://github.com/d3/d3-geo/blob/master/src/projection/gnomonic.js) [\\[d3-geo\\]](https://github.com/d3/d3-geo/blob/master/README.md#geoGnomonic), [Examples](https://observablehq.com/@d3/gnomonic)\n<br><a href=\"#geoGnomonicRaw\" name=\"geoGnomonicRaw\">#</a> d3.<b>geoGnomonicRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo/master/img/gnomonic.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/gnomonic)\n\nThe gnomonic projection.\n\n<a href=\"#geoGringorten\" name=\"geoGringorten\">#</a> d3.<b>geoGringorten</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/gringorten.js), [Examples](https://observablehq.com/@d3/gringorten)\n<br><a href=\"#geoGringortenRaw\" name=\"geoGringortenRaw\">#</a> d3.<b>geoGringortenRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/gringorten.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/gringorten)\n\nThe Gringorten square equal-area projection, rearranged to give each hemisphere an entire square.\n\n<a href=\"#geoGuyou\" name=\"geoGuyou\">#</a> d3.<b>geoGuyou</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/guyou.js), [Examples](https://observablehq.com/@d3/guyou)\n<br><a href=\"#geoGuyouRaw\" name=\"geoGuyouRaw\">#</a> d3.<b>geoGuyouRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/guyou.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/guyou)\n\nThe Guyou hemisphere-in-a-square projection. Peirce is credited with its [quincuncial form](#geoPeirceQuincuncial).\n\n<a href=\"#geoHammer\" name=\"geoHammer\">#</a> d3.<b>geoHammer</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/hammer.js), [Examples](https://observablehq.com/@d3/hammer)\n<br><a href=\"#geoHammerRaw\" name=\"geoHammerRaw\">#</a> d3.<b>geoHammerRaw</b>(<i>A</i>, <i>B</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/hammer.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/hammer)\n\nThe Hammer projection. Depending the chosen coefficient and aspect, also known as [Eckert–Greifendorff](https://observablehq.com/@d3/hammer?b=4), [quartic authalic](https://observablehq.com/@d3/hammer?b=Infinity), and [Briesemeister](https://observablehq.com/@d3/briesemeister-projection).\n\n<a href=\"#hammer_coefficient\" name=\"hammer_coefficient\">#</a> <i>hammer</i>.<b>coefficient</b>([<i>coefficient</i>]) · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/hammer.js)\n\nDefaults to 2.\n\n<a href=\"#geoHammerRetroazimuthal\" name=\"geoHammerRetroazimuthal\">#</a> d3.<b>geoHammerRetroazimuthal</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/hammerRetroazimuthal.js), [Examples](https://observablehq.com/@d3/hammer-retroazimuthal)\n<br><a href=\"#geoHammerRetroazimuthalRaw\" name=\"geoHammerRetroazimuthalRaw\">#</a> d3.<b>geoHammerRetroazimuthalRaw</b>(<i>phi0</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/hammerRetroazimuthal.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/hammer-retroazimuthal)\n\nThe Hammer retroazimuthal projection. Note: requires clipping to the sphere.\n\n<a href=\"#hammerRetroazimuthal_parallel\" name=\"hammerRetroazimuthal_parallel\">#</a> <i>hammerRetroazimuthal</i>.<b>parallel</b>([<i>parallel</i>])\n\nDefaults to 45°.\n\n<a href=\"#geoHealpix\" name=\"geoHealpix\">#</a> d3.<b>geoHealpix</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/healpix.js), [Examples](https://observablehq.com/@d3/healpix)\n<br><a href=\"#geoHealpixRaw\" name=\"geoHealpixRaw\">#</a> d3.<b>geoHealpixRaw</b>(<i>lobes</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/healpix.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/healpix)\n\nThe HEALPix projection: a <b>H</b>ierarchical <b>E</b>qual <b>A</b>rea iso<b>L</b>atitude <b>Pix</b>elisation of a 2-sphere. In this implementation, the parameter *K* is fixed at 3. Note: requires clipping to the sphere.\n\n<a href=\"#healpix_lobes\" name=\"healpix_lobes\">#</a> <i>healpix</i>.<b>lobes</b>([<i>lobes</i>])\n\nIf *lobes* is specified, sets the number of lobes (the parameter *H* in the literature) and returns this projection. If *lobes* is not specified, returns the current lobe number, which defaults to 4.\n\n<a href=\"#geoHill\" name=\"geoHill\">#</a> d3.<b>geoHill</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/hill.js), [Examples](https://observablehq.com/@d3/hill-eucyclic)\n<br><a href=\"#geoHillRaw\" name=\"geoHillRaw\">#</a> d3.<b>geoHillRaw</b>(<i>K</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/hill.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/hill-eucyclic)\n\nHill eucyclic projection is pseudoconic and equal-area.\n\n<a href=\"hill_ratio\" name=\"hill_ratio\">#</a> <i>hill</i>.<b>ratio</b>([<i>ratio</i>])\n\nDefaults to 1. With a ratio of 0, this projection becomes the [Maurer No. 73](https://observablehq.com/@d3/hill-eucyclic?b=0). As it approaches ∞, the projection converges to the [Eckert IV](#geoEckert4).\n\n<a href=\"#geoHomolosine\" name=\"geoHomolosine\">#</a> d3.<b>geoHomolosine</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/homolosine.js), [Examples](https://observablehq.com/@d3/goode-homolosine)\n<br><a href=\"#geoHomolosineRaw\" name=\"geoHomolosineRaw\">#</a> d3.<b>geoHomolosineRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/homolosine.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/goode-homolosine)\n\nThe pseudocylindrical, equal-area Goode homolosine projection is normally presented in [interrupted form](#geoInterruptedHomolosine).\n\n<a href=\"#geoHufnagel\" name=\"geoHufnagel\">#</a> d3.<b>geoHufnagel</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/hufnagel.js), [Examples](https://observablehq.com/@fil/hufnagel-projection)\n<br><a href=\"#geoHufnagelRaw\" name=\"geoHufnagelRaw\">#</a> d3.<b>geoHufnagelRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/hufnagel.png\" width=\"480\" height=\"250\">](https://observablehq.com/@fil/hufnagel-projection)\n\nA customizable family of pseudocylindrical equal-area projections by Herbert Hufnagel.\n\n<a href=\"#hufnagel_a\" name=\"hufnagel_a\">#</a> <i>hufnagel</i>.<b>a</b>([<i>a</i>])\n\n<a href=\"#hufnagel_b\" name=\"hufnagel_b\">#</a> <i>hufnagel</i>.<b>b</b>([<i>b</i>])\n\n<a href=\"#hufnagel_psiMax\" name=\"hufnagel_psiMax\">#</a> <i>hufnagel</i>.<b>psiMax</b>([<i>psiMax</i>])\n\n<a href=\"#hufnagel_ratio\" name=\"hufnagel_ratio\">#</a> <i>hufnagel</i>.<b>ratio</b>([<i>ratio</i>])\n\n<a href=\"#geoHyperelliptical\" name=\"geoHyperelliptical\">#</a> d3.<b>geoHyperelliptical</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/hyperelliptical.js), [Examples](https://observablehq.com/@fil/toblers-hyperelliptical-projection)\n<br><a href=\"#geoHyperellipticalRaw\" name=\"geoHyperellipticalRaw\">#</a> d3.<b>geoHyperellipticalRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/hyperelliptical.png\" width=\"480\" height=\"250\">](https://observablehq.com/@fil/toblers-hyperelliptical-projection)\n\nWaldo R. Tobler’s hyperelliptical is a family of equal-area pseudocylindrical projections. Parameters include _k_, the exponent of the superellipse (or Lamé curve) that defines the shape of the meridians (default _k_ = 2.5); _alpha_, which governs the weight of the cylindrical projection that is averaged with the superellipse (default _alpha_ = 0); and _gamma_, that shapes the aspect ratio (default: _gamma_ = 1.183136).\n\n<a href=\"#geoKavrayskiy7\" name=\"geoKavrayskiy7\">#</a> d3.<b>geoKavrayskiy7</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/kavrayskiy7.js), [Examples](https://observablehq.com/@d3/kavrayskiy-vii)\n<br><a href=\"#geoKavrayskiy7Raw\" name=\"geoKavrayskiy7Raw\">#</a> d3.<b>geoKavrayskiy7Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/kavrayskiy7.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/kavrayskiy-vii)\n\nThe Kavrayskiy VII pseudocylindrical projection.\n\n<a href=\"#geoLagrange\" name=\"geoLagrange\">#</a> d3.<b>geoLagrange</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/lagrange.js), [Examples](https://observablehq.com/@d3/lagrange)\n<br><a href=\"#geoLagrangeRaw\" name=\"geoLagrangeRaw\">#</a> d3.<b>geoLagrangeRaw</b>(<i>n</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/lagrange.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/lagrange)\n\nThe Lagrange conformal projection.\n\n<a href=\"#lagrange_spacing\" name=\"lagrange_spacing\">#</a> <i>lagrange</i>.<b>spacing</b>([<i>spacing</i>])\n\nDefaults to 0.5.\n\n<a href=\"#geoLarrivee\" name=\"geoLarrivee\">#</a> d3.<b>geoLarrivee</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/larrivee.js), [Examples](https://observablehq.com/@d3/larrivee)\n<br><a href=\"#geoLarriveeRaw\" name=\"geoLarriveeRaw\">#</a> d3.<b>geoLarriveeRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/larrivee.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/larrivee)\n\nThe Larrivée projection.\n\n<a href=\"#geoLaskowski\" name=\"geoLaskowski\">#</a> d3.<b>geoLaskowski</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/laskowski.js), [Examples](https://observablehq.com/@d3/laskowski-tri-optimal)\n<br><a href=\"#geoLaskowskiRaw\" name=\"geoLaskowskiRaw\">#</a> d3.<b>geoLaskowskiRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/laskowski.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/laskowski-tri-optimal)\n\nThe Laskowski tri-optimal projection simultaneously minimizes distance, angular, and areal distortion.\n\n<a href=\"#geoLittrow\" name=\"geoLittrow\">#</a> d3.<b>geoLittrow</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/littrow.js), [Examples](https://observablehq.com/@d3/littrow)\n<br><a href=\"#geoLittrowRaw\" name=\"geoLittrowRaw\">#</a> d3.<b>geoLittrowRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/littrow.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/littrow)\n\nThe Littrow projection is the only conformal retroazimuthal map projection. Typically clipped to the geographic extent [[-90°, -60°], [90°, 60°]].\n\n<a href=\"#geoLoximuthal\" name=\"geoLoximuthal\">#</a> d3.<b>geoLoximuthal</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/loximuthal.js), [Examples](https://observablehq.com/@d3/loximuthal)\n<br><a href=\"#geoLoximuthalRaw\" name=\"geoLoximuthalRaw\">#</a> d3.<b>geoLoximuthalRaw</b>(<i>phi0</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/loximuthal.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/loximuthal)\n\nThe [loximuthal projection](https://en.wikipedia.org/wiki/Loximuthal_projection) is “characterized by the fact that loxodromes (rhumb lines) from one chosen central point (the intersection of the central meridian and central latitude) are shown as straight lines, correct in azimuth from the center, and are ‘true to scale’… It is neither an equal-area projection nor conformal.”\n\n<a href=\"#loximuthal_parallel\" name=\"loximuthal_parallel\">#</a> <i>loximuthal</i>.<b>parallel</b>([<i>parallel</i>])\n\nDefaults to 40°.\n\n<a href=\"#geoMercator\" name=\"geoMercator\">#</a> d3.<b>geoMercator</b>() · [Source](https://github.com/d3/d3-geo/blob/master/src/projection/mercator.js) [\\[d3-geo\\]](https://github.com/d3/d3-geo/blob/master/README.md#geoMercator), [Examples](https://observablehq.com/@d3/mercator)\n<br><a href=\"#geoMercatorRaw\" name=\"geoMercatorRaw\">#</a> d3.<b>geoMercatorRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo/master/img/mercator.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/mercator)\n\nThe spherical Mercator projection.\n\n<a href=\"#geoMiller\" name=\"geoMiller\">#</a> d3.<b>geoMiller</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/miller.js), [Examples](https://observablehq.com/@d3/miller)\n<br><a href=\"#geoMillerRaw\" name=\"geoMillerRaw\">#</a> d3.<b>geoMillerRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/miller.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/miller)\n\nThe Miller cylindrical projection is a modified [Mercator](#geoMercator) projection.\n\n<a href=\"#geoModifiedStereographic\" name=\"geoModifiedStereographic\">#</a> d3.<b>geoModifiedStereographic</b>(<i>coefficients</i>, <i>rotate</i>) · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/modifiedStereographic.js)\n<br><a href=\"#geoModifiedStereographicRaw\" name=\"geoModifiedStereographicRaw\">#</a> d3.<b>geoModifiedStereographicRaw</b>(<i>coefficients</i>)\n\nThe family of [modified stereographic projections](https://www.jasondavies.com/maps/modified-stereographic/). The default [clip angle](https://github.com/d3/d3-geo/blob/master/README.md#projection_clipAngle) for these projections is 90°. These projections do not support [*projection*.rotate](https://github.com/d3/d3-geo/blob/master/README.md#projection_rotate): a fixed rotation is applied that is specific to the given *coefficients*.\n\n<a href=\"#geoModifiedStereographicAlaska\" name=\"geoModifiedStereographicAlaska\">#</a> d3.<b>geoModifiedStereographicAlaska</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/modifiedStereographic.js)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/modifiedStereographicAlaska.png\" width=\"480\" height=\"250\">](https://www.jasondavies.com/maps/modified-stereographic/alaska/)\n\nA [modified stereographic](#geoModifiedStereographic) projection for Alaska.\n\n<a href=\"#geoModifiedStereographicGs48\" name=\"geoModifiedStereographicGs48\">#</a> d3.<b>geoModifiedStereographicGs48</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/modifiedStereographic.js)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/modifiedStereographicGs48.png\" width=\"480\" height=\"250\">](https://www.jasondavies.com/maps/modified-stereographic/gs48/)\n\nA [modified stereographic](#geoModifiedStereographic) projection for the conterminous United States.\n\n<a href=\"#geoModifiedStereographicGs50\" name=\"geoModifiedStereographicGs50\">#</a> d3.<b>geoModifiedStereographicGs50</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/modifiedStereographic.js)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/modifiedStereographicGs50.png\" width=\"480\" height=\"250\">](https://www.jasondavies.com/maps/modified-stereographic/gs50/)\n\nA [modified stereographic](#geoModifiedStereographic) projection for the United States including Alaska and Hawaii. Typically clipped to the geographic extent [[-180°, 15°], [-50°, 75°]].\n\n<a href=\"#geoModifiedStereographicMiller\" name=\"geoModifiedStereographicMiller\">#</a> d3.<b>geoModifiedStereographicMiller</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/modifiedStereographic.js), [Examples](https://observablehq.com/@d3/miller-oblated-stereographic)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/modifiedStereographicMiller.png\" width=\"480\" height=\"250\">](https://www.jasondavies.com/maps/modified-stereographic/miller/)\n\nA [modified stereographic](#geoModifiedStereographic) projection for Europe and Africa. Typically clipped to the geographic extent [[-40°, -40°], [80°, 80°]].\n\n<a href=\"#geoModifiedStereographicLee\" name=\"geoModifiedStereographicLee\">#</a> d3.<b>geoModifiedStereographicLee</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/modifiedStereographic.js), [Examples](https://observablehq.com/@d3/lee-oblated-stereographic)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/modifiedStereographicLee.png\" width=\"480\" height=\"250\">](https://www.jasondavies.com/maps/modified-stereographic/lee/)\n\nA [modified stereographic](#geoModifiedStereographic) projection for the Pacific ocean.\n\n<a href=\"#geoMollweide\" name=\"geoMollweide\">#</a> d3.<b>geoMollweide</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/mollweide.js), [Examples](https://observablehq.com/@d3/mollweide)\n<br><a href=\"#geoMollweideRaw\" name=\"geoMollweideRaw\">#</a> d3.<b>geoMollweideRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/mollweide.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/mollweide)\n\nThe equal-area, pseudocylindrical Mollweide projection. The oblique aspect is known as the [Atlantis projection](https://observablehq.com/@d3/atlantis). [Goode’s interrupted Mollweide](#interruptedMollweide) is also widely known.\n\n<a href=\"#geoMtFlatPolarParabolic\" name=\"geoMtFlatPolarParabolic\">#</a> d3.<b>geoMtFlatPolarParabolic</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/mtFlatPolarParabolic.js), [Examples](https://observablehq.com/@d3/flat-polar-parabolic)\n<br><a href=\"#geoMtFlatPolarParabolicRaw\" name=\"geoMtFlatPolarParabolicRaw\">#</a> d3.<b>geoMtFlatPolarParabolicRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/mtFlatPolarParabolic.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/flat-polar-parabolic)\n\nThe McBryde–Thomas flat-polar parabolic pseudocylindrical equal-area projection.\n\n<a href=\"#geoMtFlatPolarQuartic\" name=\"geoMtFlatPolarQuartic\">#</a> d3.<b>geoMtFlatPolarQuartic</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/mtFlatPolarQuartic.js), [Examples](https://observablehq.com/@d3/flat-polar-quartic)\n<br><a href=\"#geoMtFlatPolarQuarticRaw\" name=\"geoMtFlatPolarQuarticRaw\">#</a> d3.<b>geoMtFlatPolarQuarticRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/mtFlatPolarQuartic.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/flat-polar-quartic)\n\nThe McBryde–Thomas flat-polar quartic pseudocylindrical equal-area projection.\n\n<a href=\"#geoMtFlatPolarSinusoidal\" name=\"geoMtFlatPolarSinusoidal\">#</a> d3.<b>geoMtFlatPolarSinusoidal</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/mtFlatPolarSinusoidal.js), [Examples](https://observablehq.com/@d3/flat-polar-sinusoidal)\n<br><a href=\"#geoMtFlatPolarSinusoidalRaw\" name=\"geoMtFlatPolarSinusoidalRaw\">#</a> d3.<b>geoMtFlatPolarSinusoidalRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/mtFlatPolarSinusoidal.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/flat-polar-sinusoidal)\n\nThe McBryde–Thomas flat-polar sinusoidal equal-area projection.\n\n<a href=\"#geoNaturalEarth1\" name=\"geoNaturalEarth1\">#</a> d3.<b>geoNaturalEarth1</b>() · [Source](https://github.com/d3/d3-geo/blob/master/src/projection/naturalEarth1.js) [\\[d3-geo\\]](https://github.com/d3/d3-geo/blob/master/README.md#geoNaturalEarth1), [Examples](https://observablehq.com/@d3/natural-earth)\n<br><a href=\"#geoNaturalEarth1Raw\" name=\"geoNaturalEarth1Raw\">#</a> d3.<b>geoNaturalEarth1Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo/master/img/naturalEarth1.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/natural-earth)\n\nThe Natural Earth projection.\n\n<a href=\"#geoNaturalEarth2\" name=\"geoNaturalEarth2\">#</a> d3.<b>geoNaturalEarth2</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/naturalEarth2.js), [Examples](https://observablehq.com/@d3/natural-earth-ii)\n<br><a href=\"#geoNaturalEarth2Raw\" name=\"geoNaturalEarth2Raw\">#</a> d3.<b>geoNaturalEarth2Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/naturalEarth2.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/natural-earth-ii)\n\nThe [Natural Earth II](http://www.shadedrelief.com/NE2_proj/) projection. Compared to [Natural Earth](#geoNaturalEarth), it is slightly taller and rounder.\n\n<a href=\"#geoNellHammer\" name=\"geoNellHammer\">#</a> d3.<b>geoNellHammer</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/nellHammer.js), [Examples](https://observablehq.com/@d3/nell-hammer)\n<br><a href=\"#geoNellHammerRaw\" name=\"geoNellHammerRaw\">#</a> d3.<b>geoNellHammerRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/nellHammer.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/nell-hammer)\n\nThe Nell–Hammer projection.\n\n<a href=\"#geoNicolosi\" name=\"geoNicolosi\">#</a> d3.<b>geoNicolosi</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/nicolosi.js), [Examples](https://observablehq.com/@toja/nicolosi-globular-projection)\n<br><a href=\"#geoNicolosiRaw\" name=\"geoNicolosiRaw\">#</a> d3.<b>geoNicolosiRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/nicolosi.png\" width=\"480\" height=\"250\">](https://observablehq.com/@toja/nicolosi-globular-projection)\n\nThe Nicolosi globular projection.\n\n<a href=\"#geoOrthographic\" name=\"geoOrthographic\">#</a> d3.<b>geoOrthographic</b>() · [Source](https://github.com/d3/d3-geo/blob/master/src/projection/orthographic.js) [\\[d3-geo\\]](https://github.com/d3/d3-geo/blob/master/README.md#geoOrthographic), [Examples](https://observablehq.com/@d3/orthographic)\n<br><a href=\"#geoOrthographicRaw\" name=\"geoOrthographicRaw\">#</a> d3.<b>geoOrthographicRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo/master/img/orthographic.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/orthographic)\n\nThe orthographic projection.\n\n<a href=\"#geoPatterson\" name=\"geoPatterson\">#</a> d3.<b>geoPatterson</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/patterson.js), [Examples](https://observablehq.com/@d3/patterson-cylindrical)\n<br><a href=\"#geoPattersonRaw\" name=\"geoPattersonRaw\">#</a> d3.<b>geoPattersonRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/patterson.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/patterson-cylindrical)\n\nThe Patterson cylindrical projection.\n\n<a href=\"#geoPolyconic\" name=\"geoPolyconic\">#</a> d3.<b>geoPolyconic</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/polyconic.js), [Examples](https://observablehq.com/@d3/polyconic)\n<br><a href=\"#geoPolyconicRaw\" name=\"geoPolyconicRaw\">#</a> d3.<b>geoPolyconicRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/polyconic.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/polyconic)\n\nThe American polyconic projection.\n\n<a href=\"#geoRectangularPolyconic\" name=\"geoRectangularPolyconic\">#</a> d3.<b>geoRectangularPolyconic</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/rectangularPolyconic.js), [Examples](https://observablehq.com/@d3/rectangular-polyconic)\n<br><a href=\"#geoRectangularPolyconicRaw\" name=\"geoRectangularPolyconicRaw\">#</a> d3.<b>geoRectangularPolyconicRaw</b>(<i>phi0</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/rectangularPolyconic.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/rectangular-polyconic)\n\nThe rectangular (War Office) polyconic projection.\n\n<a href=\"#rectangularPolyconic_parallel\" name=\"rectangularPolyconic_parallel\">#</a> <i>rectangularPolyconic</i>.<b>parallel</b>([<i>parallel</i>])\n\nDefaults to 0°.\n\n<a href=\"#geoRobinson\" name=\"geoRobinson\">#</a> d3.<b>geoRobinson</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/robinson.js), [Examples](https://observablehq.com/@d3/robinson)\n<br><a href=\"#geoRobinsonRaw\" name=\"geoRobinsonRaw\">#</a> d3.<b>geoRobinsonRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/robinson.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/robinson)\n\nThe Robinson projection.\n\n<a href=\"#geoSatellite\" name=\"geoSatellite\">#</a> d3.<b>geoSatellite</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/satellite.js), [Examples](https://observablehq.com/@d3/satellite)\n<br><a href=\"#geoSatelliteRaw\" name=\"geoSatelliteRaw\">#</a> d3.<b>geoSatelliteRaw</b>(<i>P</i>, <i>omega</i>)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/satellite.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/satellite)\n\nThe satellite (tilted perspective) projection.\n\n<a href=\"#satellite_tilt\" name=\"satellite_tilt\">#</a> <i>satellite</i>.<b>tilt</b>([<i>tilt</i>])\n\nDefaults to 0°.\n\n<a href=\"#satellite_distance\" name=\"satellite_distance\">#</a> <i>satellite</i>.<b>distance</b>([<i>distance</i>])\n\nDistance from the center of the sphere to the point of view, as a proportion of the sphere’s radius; defaults to 2.0. The recommended maximum [clip angle](https://github.com/d3/d3-geo/blob/master/README.md#projection_clipAngle) for a given *distance* is acos(1 / *distance*) converted to degrees. If [tilt](#satellite_tilt) is also applied, then more conservative clipping may be necessary. For exact clipping, the in-development geographic projection pipeline is needed; see the [satellite explorer](https://observablehq.com/@d3/satellite-explorer).\n\n<a href=\"#geoSinusoidal\" name=\"geoSinusoidal\">#</a> d3.<b>geoSinusoidal</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/sinusoidal.js), [Examples](https://observablehq.com/@d3/sinusoidal)\n<br><a href=\"#geoSinusoidalRaw\" name=\"geoSinusoidalRaw\">#</a> d3.<b>geoSinusoidalRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/sinusoidal.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/sinusoidal)\n\nThe sinusoidal projection.\n\n<a href=\"#geoSinuMollweide\" name=\"geoSinuMollweide\">#</a> d3.<b>geoSinuMollweide</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/sinuMollweide.js), [Examples](https://observablehq.com/@d3/sinu-mollweide)\n<br><a href=\"#geoSinuMollweideRaw\" name=\"geoSinuMollweideRaw\">#</a> d3.<b>geoSinuMollweideRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/sinuMollweide.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/sinu-mollweide)\n\nAllen K. Philbrick’s Sinu-Mollweide projection. See also the [interrupted form](#interruptedSinuMollweide).\n\n<a href=\"#geoStereographic\" name=\"geoStereographic\">#</a> d3.<b>geoStereographic</b>() · [Source](https://github.com/d3/d3-geo/blob/master/src/projection/stereographic.js) [\\[d3-geo\\]](https://github.com/d3/d3-geo/blob/master/README.md#geoStereographic), [Examples](https://observablehq.com/@d3/stereographic)\n<br><a href=\"#geoStereographicRaw\" name=\"geoStereographicRaw\">#</a> d3.<b>geoStereographicRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo/master/img/stereographic.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/stereographic)\n\nThe stereographic projection.\n\n<a href=\"#geoTimes\" name=\"geoTimes\">#</a> d3.<b>geoTimes</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/times.js), [Examples](https://observablehq.com/@d3/times)\n<br><a href=\"#geoTimesRaw\" name=\"geoTimesRaw\">#</a> d3.<b>geoTimesRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/times.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/times)\n\nJohn Muir’s Times projection.\n\n<a href=\"#geoTransverseMercator\" name=\"geoTransverseMercator\">#</a> d3.<b>geoTransverseMercator</b>() · [Source](https://github.com/d3/d3-geo/blob/master/src/projection/transverseMercator.js) [\\[d3-geo\\]](https://github.com/d3/d3-geo/blob/master/README.md#geoTransverseMercator), [Examples](https://observablehq.com/@d3/transverse-mercator)\n<br><a href=\"#geoTransverseMercatorRaw\" name=\"geoTransverseMercatorRaw\">#</a> d3.<b>geoTransverseMercatorRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo/master/img/transverseMercator.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/transverse-mercator)\n\nThe transverse spherical Mercator projection.\n\n<a href=\"#geoTwoPointAzimuthal\" name=\"geoTwoPointAzimuthal\">#</a> d3.<b>geoTwoPointAzimuthal</b>(<i>point0</i>, <i>point1</i>) · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/twoPointAzimuthal.js)\n<br><a href=\"#geoTwoPointAzimuthalRaw\" name=\"geoTwoPointAzimuthalRaw\">#</a> d3.<b>geoTwoPointAzimuthalRaw</b>(<i>d</i>)\n\nThe two-point azimuthal projection “shows correct azimuths (but not distances) from either of two points to any other point. [It can] be used to locate a ship at sea, given the exact location of two radio transmitters and the direction of the ship to the transmitters.” This projection does not support [*projection*.rotate](https://github.com/d3/d3-geo/blob/master/README.md#projection_rotate), as the rotation is fixed by the two given points.\n\n<a href=\"#geoTwoPointAzimuthalUsa\" name=\"geoTwoPointAzimuthalUsa\">#</a> d3.<b>geoTwoPointAzimuthalUsa</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/twoPointAzimuthal.js)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/twoPointAzimuthalUsa.png\" width=\"480\" height=\"250\">](https://www.jasondavies.com/maps/two-point-azimuthal/)\n\nThe two-point azimuthal projection with points [-158°, 21.5°] and [-77°, 39°], approximately representing Honolulu, HI and Washington, D.C.\n\n<a href=\"#geoTwoPointEquidistant\" name=\"geoTwoPointEquidistant\">#</a> d3.<b>geoTwoPointEquidistant</b>(<i>point0</i>, <i>point1</i>) · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/twoPointEquidistant.js)\n<br><a href=\"#geoTwoPointEquidistantRaw\" name=\"geoTwoPointEquidistantRaw\">#</a> d3.<b>geoTwoPointEquidistantRaw</b>(<i>z0</i>)\n\nThe two-point equidistant projection. This projection does not support [*projection*.rotate](https://github.com/d3/d3-geo/blob/master/README.md#projection_rotate), as the rotation is fixed by the two given points. Note: to show the whole Earth, this projection requires clipping to spherical polygons ([example](https://observablehq.com/@d3/two-point-equidistant)).\n\n<a href=\"#geoTwoPointEquidistantUsa\" name=\"geoTwoPointEquidistantUsa\">#</a> d3.<b>geoTwoPointEquidistantUsa</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/twoPointEquidistant.js)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/twoPointEquidistantUsa.png\" width=\"480\" height=\"250\">](https://www.jasondavies.com/maps/two-point-equidistant/)\n\nThe two-point equidistant projection with points [-158°, 21.5°] and [-77°, 39°], approximately representing Honolulu, HI and Washington, D.C.\n\n<a href=\"#geoVanDerGrinten\" name=\"geoVanDerGrinten\">#</a> d3.<b>geoVanDerGrinten</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/vanDerGrinten.js), [Examples](https://observablehq.com/@d3/van-der-grinten-i)\n<br><a href=\"#geoVanDerGrintenRaw\" name=\"geoVanDerGrintenRaw\">#</a> d3.<b>geoVanDerGrintenRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/vanDerGrinten.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/van-der-grinten-i)\n\nThe Van der Grinten projection.\n\n<a href=\"#geoVanDerGrinten2\" name=\"geoVanDerGrinten2\">#</a> d3.<b>geoVanDerGrinten2</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/vanDerGrinten2.js), [Examples](https://observablehq.com/@d3/van-der-grinten-ii)\n<br><a href=\"#geoVanDerGrinten2Raw\" name=\"geoVanDerGrinten2Raw\">#</a> d3.<b>geoVanDerGrinten2Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/vanDerGrinten2.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/van-der-grinten-ii)\n\nThe Van der Grinten II projection.\n\n<a href=\"#geoVanDerGrinten3\" name=\"geoVanDerGrinten3\">#</a> d3.<b>geoVanDerGrinten3</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/vanDerGrinten3.js), [Examples](https://observablehq.com/@d3/van-der-grinten-iii)\n<br><a href=\"#geoVanDerGrinten3Raw\" name=\"geoVanDerGrinten3Raw\">#</a> d3.<b>geoVanDerGrinten3Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/vanDerGrinten3.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/van-der-grinten-iii)\n\nThe Van der Grinten III projection.\n\n<a href=\"#geoVanDerGrinten4\" name=\"geoVanDerGrinten4\">#</a> d3.<b>geoVanDerGrinten4</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/vanDerGrinten4.js), [Examples](https://observablehq.com/@d3/van-der-grinten-iv)\n<br><a href=\"#geoVanDerGrinten4Raw\" name=\"geoVanDerGrinten4Raw\">#</a> d3.<b>geoVanDerGrinten4Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/vanDerGrinten4.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/van-der-grinten-iv)\n\nThe Van der Grinten IV projection.\n\n<a href=\"#geoWagner\" name=\"geoWagner\">#</a> d3.<b>geoWagner</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/wagner.js), [Examples](https://observablehq.com/@fil/wagner-customizable-projection)\n<br><a href=\"#geoWagnerRaw\" name=\"geoWagnerRaw\">#</a> d3.<b>geoWagnerRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/wagner.png\" width=\"480\" height=\"250\">](https://map-projections.net/d3-customizable-wagner/)\n\nThe Wagner projection is customizable: default values produce the Wagner VIII projection.\n\n<a href=\"#wagner_poleline\" name=\"wagner_poleline\">#</a> <i>wagner</i>.<b>poleline</b>([<i>poleline</i>])\n\nDefaults to 65°.\n\n<a href=\"#wagner_parallels\" name=\"wagner_parallels\">#</a> <i>wagner</i>.<b>parallels</b>([<i>parallels</i>])\n\nDefaults to 60°.\n\n<a href=\"#wagner_inflation\" name=\"wagner_inflation\">#</a> <i>wagner</i>.<b>inflation</b>([<i>inflation</i>])\n\nDefaults to 20.\n\n<a href=\"#wagner_ratio\" name=\"wagner_ratio\">#</a> <i>wagner</i>.<b>ratio</b>([<i>ratio</i>])\n\nDefaults to 200.\n\n<a href=\"#geoWagner4\" name=\"geoWagner4\">#</a> d3.<b>geoWagner4</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/wagner4.js), [Examples](https://observablehq.com/@d3/wagner-iv)\n<br><a href=\"#geoWagner4Raw\" name=\"geoWagner4Raw\">#</a> d3.<b>geoWagner4Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/wagner4.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/wagner-iv)\n\nThe Wagner IV projection, also known as Putniṇš P2´.\n\n<a href=\"#geoWagner6\" name=\"geoWagner6\">#</a> d3.<b>geoWagner6</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/wagner6.js), [Examples](https://observablehq.com/@d3/wagner-vi)\n<br><a href=\"#geoWagner6Raw\" name=\"geoWagner6Raw\">#</a> d3.<b>geoWagner6Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/wagner6.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/wagner-vi)\n\nThe Wagner VI projection.\n\n<a href=\"#geoWagner7\" name=\"geoWagner7\">#</a> d3.<b>geoWagner7</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/wagner7.js), [Examples](ttps://observablehq.com/@d3/wagner-vii)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/wagner7.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/wagner-vii)\n\nThe Wagner VII projection.\n\n<a href=\"#geoWiechel\" name=\"geoWiechel\">#</a> d3.<b>geoWiechel</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/wiechel.js), [Examples](https://observablehq.com/@d3/wiechel)\n<br><a href=\"#geoWiechelRaw\" name=\"geoWiechelRaw\">#</a> d3.<b>geoWiechelRaw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/wiechel.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/wiechel)\n\nThe Wiechel projection.\n\n<a href=\"#geoWinkel3\" name=\"geoWinkel3\">#</a> d3.<b>geoWinkel3</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/winkel3.js), [Examples](https://observablehq.com/@d3/winkel-tripel)\n<br><a href=\"#geoWinkel3Raw\" name=\"geoWinkel3Raw\">#</a> d3.<b>geoWinkel3Raw</b>\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/winkel3.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/winkel-tripel)\n\nThe Winkel tripel projection.\n\n### Interrupted Projections\n\n<a href=\"#geoInterrupt\" name=\"geoInterrupt\">#</a> d3.<b>geoInterrupt</b>(<i>project</i>, <i>lobes</i>) · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/interrupted/index.js), [Examples](https://observablehq.com/@d3/interrupted-sinusoidal)\n\nDefines a new interrupted projection for the specified [raw projection](#raw-projections) function *project* and the specified array of *lobes*. The array *lobes* contains two elements representing the hemilobes for the northern hemisphere and the southern hemisphere, respectively. Each hemilobe is an array of triangles, with each triangle represented as three points (in degrees): the start, midpoint, and end. For example, the lobes in [Goode’s interrupted homolosine](#geoInterruptedHomolosine) projection are defined as:\n\n```json\n[\n  [\n    [[-180,   0], [-100,  90], [ -40,   0]],\n    [[ -40,   0], [  30,  90], [ 180,   0]]\n  ],\n  [\n    [[-180,   0], [-160, -90], [-100,   0]],\n    [[-100,   0], [ -60, -90], [ -20,   0]],\n    [[ -20,   0], [  20, -90], [  80,   0]],\n    [[  80,   0], [ 140, -90], [ 180,   0]]\n  ]\n]\n```\n\nNote: interrupted projections typically require clipping to the sphere.\n\n<a href=\"#interrupted_lobes\" name=\"interrupted_lobes\">#</a> <i>interrupted</i>.<b>lobes</b>([<i>lobes</i>]) · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/interrupted/index.js)\n\nIf *lobes* is specified, sets the new array of hemilobes and returns this projection; see [d3.geoInterrupt](#geoInterrupt) for details on the format of the hemilobes array. If *lobes* is not specified, returns the current array of hemilobes.\n\n<a href=\"#geoInterruptedHomolosine\" name=\"geoInterruptedHomolosine\">#</a> d3.<b>geoInterruptedHomolosine</b>() · [Source](https://github.com/d3/d3-geo-projection/blob/master/src/interrupted/homolosine.js), [Examples](https://observablehq.com/@d3/interrupted-goode-homolosine)\n\n[<img src=\"https://raw.githubusercontent.com/d3/d3-geo-projection/master/img/interruptedHomolosine.png\" width=\"480\" height=\"250\">](https://observablehq.com/@d3/interrupted-goode-homolosine)\n\nGoode’s interrupted [homolosine projection](#geoHomolosine). Its [ocean-centric aspect](https://observablehq.com/@d3/interrupted-homolosine-oceans) is also well-known.\n\n","_attachments":{},"homepage":"https://d3js.org/d3-geo-projection/","bugs":{"url":"https://github.com/d3/d3-geo-projection/issues"},"license":"ISC"}