Spherical tiles

Spherical tiles

Written by Paul Bourke
October 2021


The following are a few examples of playing with spherical tilings. Nothing too sophisticated, creating a tiling of an equilateral triangle, apply that to each face of an icosahedron or octahedron (or tetrahedron), and then tessellating the edges and inflating to a sphere.


Example 1

Octahedral symmetry.
Perspective rendering.

Equirectangular projection from the center.

Navigable version


Example 2

Octahedral symmetry.
Perspective rendering.

Equirectangular projection from the center.

Navigable version


Example 3

Icosahedral symmetry.
Perspective rendering.

Equirectangular projection from the center.

Navigable version


Example 4

Icosahedral symmetry.
Perspective rendering.

Equirectangular projection from the center.

Navigable version


Example 5

Icosahedral symmetry.
Perspective rendering.

Equirectangular projection from the center.

Navigable version

Reference

Patterns On The Spherical Surface. International Journal of Space Structures, 11(1&2):183-192, April 1996. Magnus J. Wenninger and Peter W. Messer.