Triangulations of the Sphere (Part 1)

John Carlos Baez

Sat Oct 26 2024

If you cut out the yellow shape here, you can fold it up along the red lines, and all 11 sharp tips will meet at one point! You’ll get a polyhedron with 12 corners, tiled by equilateral triangles. 5 triangles meet at each corner. There are also places where 6 triangles meet: these places are flat. Some triangles get folded along the red lines.

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This is a companion discussion topic for the original entry at https://johncarlosbaez.wordpress.com/2024/10/25/triangulations-of-the-sphere/