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Clipping and geometric operations for spherical polygons.


If you use NPM, npm install d3-geo-polygon. Otherwise, download the latest release. You can also load directly from unpkg. AMD, CommonJS, and vanilla environments are supported. In vanilla, a d3 global is exported:

<script src=""></script>
<script src=""></script>

// new projection
var projection = d3.geoDodecahedral();

// polyhedral projections don’t need SVG or canvas clipping anymore
var projection = d3.geoPolyhedralCollignon();

// arbitrary polygon clipping on any projection
var projection = d3.geoEquirectangular()
      type: "Polygon",
      coordinates: [[[-10, -10], [-10, 10], [10, 10], [10, -10], [-10, -10]]]


API Reference

# d3.geoClipPolygon(polygon) · Source, Examples

Given a GeoJSON polygon or multipolygon, returns a clip function suitable for projection.preclip.

# clip.polygon()

Given a clipPolygon function, returns the GeoJSON polygon.

# d3.geoIntersectArc(arcs) · Source, Examples

Given two spherical arcs [point0, point1] and [point2, point3], returns their intersection, or undefined if there is none. See “Spherical Intersection”.


d3-geo-polygon adds polygon clipping to the polyhedral projections from d3-geo-projection. Thus, it supercedes the following symbols:

# d3.geoPolyhedral(tree, face) · Source, Examples

Defines a new polyhedral projection. The tree is a spanning tree of polygon face nodes; each node is assigned a node.transform matrix. The face function returns the appropriate node for a given lambda and phi in radians.

# polyhedral.tree() returns the spanning tree of the polyhedron, from which one can infer the faces’ centers, polygons, shared edges etc.

# d3.geoPolyhedralButterfly() · Source

The gnomonic butterfly projection.

# d3.geoPolyhedralCollignon() · Source

The Collignon butterfly projection.

# d3.geoPolyhedralWaterman() · Source

A butterfly projection inspired by Steve Waterman’s design.

New projections are introduced:

# d3.geoPolyhedralVoronoi([parents], [polygons], [faceProjection], [faceFind]) · Source

Returns a polyhedral projection based on the polygons, arranged in a tree according to the parents list. polygons are a GeoJSON FeatureCollection of geoVoronoi cells, which should indicate the corresponding sites (see d3-geo-voronoi). An optional faceProjection is passed to d3.geoPolyhedral() -- note that the gnomonic projection on the polygons’ sites is the only faceProjection that works in the general case.

The .parents([parents]), .polygons([polygons]), .faceProjection([faceProjection]) set and read the corresponding options. Use .faceFind(voronoi.find) for faster results.

# d3.geoCubic() · Source, Examples

The cubic projection.

# d3.geoDodecahedral() · Source, Examples

The dodecahedral projection.

# d3.geoIcosahedral() · Source, Examples

The icosahedral projection.

# d3.geoAirocean() · Source, Examples

Buckminster Fuller’s Airocean projection (also known as “Dymaxion”), based on a very specific arrangement of the icosahedron which allows continuous continent shapes. Fuller’s triangle transformation, as formulated by Robert W. Gray (and implemented by Philippe Rivière), makes the projection almost equal-area.

# d3.geoCahillKeyes() · Source, Examples
# d3.geoCahillKeyes

The Cahill-Keyes projection, designed by Gene Keyes (1975), is built on Bernard J. S. Cahill’s 1909 octant design. Implementation by Mary Jo Graça (2011), ported to D3 by Enrico Spinielli (2013).

# d3.geoImago() · Source, Examples

The Imago projection, engineered by Justin Kunimune (2017), is inspired by Hajime Narukawa’s AuthaGraph design (1999).

# imago.k([k])

Exponent. Useful values include 0.59 (default, minimizes angular distortion of the continents), 0.68 (gives the closest approximation of the Authagraph) and 0.72 (prevents kinks in the graticule).

# imago.shift([shift])

Horizontal shift. Defaults to 1.16.

# d3.geoTetrahedralLee() · Source, Examples
# d3.geoLeeRaw

Lee’s tetrahedral conformal projection.

# Default angle is +30°, apex up (-30° for base up, apex down).

Default aspect uses projection.rotate([30, 180]) and has the North Pole at the triangle’s center -- use projection.rotate([-30, 0]) for the South aspect.

# d3.geoCox() · Source, Examples
# d3.geoCoxRaw

The Cox conformal projection.

# d3.geoComplexLog([planarProjectionRaw[, cutoffLatitude]]) · Source, Example
# d3.geoComplexLogRaw([planarProjectionRaw])

Complex logarithmic view. This projection is based on the papers by Joachim Böttger et al.:

The specified raw projection planarProjectionRaw is used to project onto the complex plane on which the complex logarithm is applied. Recommended are azimuthal equal-area (default) or azimuthal equidistant.

cutoffLatitude is the latitude relative to the projection center at which to cutoff/clip the projection, lower values result in more detail around the projection center. Value must be < 0 because complex log projects the origin to infinity.

# complexLog.planarProjectionRaw([projectionRaw])

If projectionRaw is specified, sets the planar raw projection. See above. If projectionRaw is not specified, returns the current planar raw projection.

# complexLog.cutoffLatitude([latitude])

If latitude is specified, sets the cutoff latitude. See above. If latitude is not specified, returns the current cutoff latitude.