Spherical alpha shapes with d3-geo-voronoi

geoVoronoi x() and y() accessors

A rotating globe displays a Voronoi diagram of world capital cities, with each polygon filled by a categorical color from the `d3.schemeCategory10` palette. The map is rendered using `d3.geoVoronoi` and `d3.geoOrthographic`, with `d3.geoPath` projecting the spherical polygons onto an SVG canvas. Capital city coordinates are loaded from a CSV file, and the `x()` and `y()` accessors are used to map longitude and latitude while adding a small random epsilon.

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geoVoronoi triangles()

This example visualizes a spherical Voronoi triangulation of 100 random points, with each triangle filled by a random hue and the original sites marked as white dots. The orthographic projection rotates continuously to reveal the globe’s surface. Built with d3-geo-voronoi and d3-delaunay, it uses d3.geoPath and d3.geoOrthographic to render SVG paths, while d3.interval drives the animation by updating the projection’s rotation every 50 milliseconds. The points are generated as a GeoJSON FeatureCollection with coordinates spanning longitude 0–360 and latitude from -90 to 90.

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geoVoronoi mesh()

This example shows a dynamic Voronoi diagram on a globe, with a mesh of cell boundaries overlaid on a rotating orthographic projection. It generates 100 random geographic points, computes their spherical Voronoi tessellation using the `d3.geoVoronoi` plugin, and renders the resulting polygons and sites as SVG paths via `d3.geoPath`. The animation uses `d3.interval` to rotate the projection over time, continuously redrawing all paths. The code relies on D3 v4, the d3-delaunay library, and custom geo-Voronoi logic, with a light beige sphere and dark gray mesh for contrast.

Dodecahedral projection

This example displays a dodecahedral projection of the world map, unfolding the globe onto the faces of a dodecahedron using a myriahedral projection. The map, sourced from the VisionsCarto world atlas, is rendered as SVG with country boundaries and a graticule. The code computes the Voronoi faces on the sphere using `d3.geoVoronoi`, builds a spanning tree of the faces with Kruskal’s algorithm, and projects each face using a gnomonic projection via `d3.geoGnomonic`. The polyhedral arrangement and clipping are handled by `d3.geoPolyhedral` and `d3.geoPath`.

geoVoronoi circumcircles

This example visualizes the Voronoi tessellation of a sphere using 100 random points, rendered as colored triangles with white links and site markers. Hovering over a triangle reveals its circumcircle, drawn as a semi-transparent circle with dashed rays connecting the circumcenter to each vertex. Built with D3 v5 and the d3-geo-voronoi plugin, it uses d3.geoPath with an Equal Earth projection to draw the geometry in SVG, and d3.geoCircle to construct the interactive circumcircles.

geoVoronoi polygons()

One hundred random points on a sphere are partitioned into Voronoi polygons using `d3.geoVoronoi`. The orthographic projection, rendered via `d3.geoPath`, displays the colored cells with dark borders and white site markers. A gentle animation rotates the projection continuously by updating the projection’s rotation, redrawing all paths every 50 milliseconds. The example uses `d3.geoOrthographic`, `d3.range`, and `d3.schemeCategory10` for colors, with SVG output.

Rotating globe

This rotating globe visualization uses an orthographic projection to display world country polygons, a graticule grid, and three labeled city points (Munich, San Antonio, and Melbourne). The globe continuously rotates via a d3.timer, updating the country paths, graticule lines, city markers, and labels each frame. Labels are hidden when their corresponding city is on the far side of the globe, determined by the great-arc distance from the map’s center. The example uses d3.v3 with SVG and animation, loading TopoJSON world data and styling countries, graticules, and points with distinct colors.

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