Acronym | ... |
Name | 32 face equihedral toroid |
© | |
Face vector | 16, 48, 32 |
In 2018 E. Pegg provided this toroid, which uses just a single shape for faces. These are triangles {aab}, where a = 1.157493 (the blue ones in the pic) is the root of the equation 256 a8-256 a6-416 a4+496 a2-127 = 0 and b = 1 (the green ones). The central green squares of the pic mark the doorways of the corridor, while the outer blue octagon marks the equator.
8 * | 2 2 2 1 0 | 3 2 2 at corridor * 8 | 0 0 2 1 2 | 0 1 4 at equator ----+------------+------- 2 0 | 8 * * * * | 2 0 0 a corridor lacings 2 0 | * 8 * * * | 1 1 0 b upper/lower doorway 1 1 | * * 16 * * | 0 1 1 a 1 1 | * * * 8 * | 0 0 2 b 0 2 | * * * * 8 | 0 0 2 a along equator ----+------------+------- 3 0 | 2 1 0 0 0 | 8 * * {aab} 2 1 | 0 1 2 0 0 | * 8 * {aab} 1 2 | 0 0 1 1 1 | * * 16 {aab}
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