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Add note on regular polygons
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danlooo committed Jul 5, 2023
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Expand Up @@ -15,7 +15,7 @@ This minimizes distortion and loading time of large geospatial datasets, which i
1. Take a platonic solid (e.g. icosahedron)
2. Blow it up so that it s size fits the radius of the earth
3. Chose a rotation of the polyhedron relative to the (e.g. those used in the [Dymaxion projection](https://en.wikipedia.org/wiki/Dymaxion_map) so that the evrtices of the polyhedrons with high distortions are in the oceans)
4. Tessellate the faces of the polyhedron (e.g. triangles, diamonds, or hexagons). One must introduce 12 pentagons at the vertices of the polyhedron to enable a tesselation of the 3D surface with hexagons.
4. Tessellate the faces of the polyhedron (e.g. triangles, diamonds, or hexagons). One must introduce 12 pentagons at the vertices of the polyhedron to enable a tesselation of the 3D surface with hexagons. Polygons are regular on the faces of the polyhedron but may be distorted after re-projection to the sphere.
5. Redo the tessellation with increasing resolutions forming a grid system

![](https://upload.wikimedia.org/wikipedia/commons/thumb/5/53/Dymaxion_projection.png/1920px-Dymaxion_projection.png)
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