Acronym | ... |
Name | 20 thawroes toroid |
© | |
Vertex figure | [(3,5)2], [(3,3,5)2], [33,5], [34,62] |
Face vector | 240, 600, 340 |
External links |
It might be pointed out that twice the diheral angle between the squares and the hexagon of a thawro happens to be just the complement of the dihedral angle between the hexagons of a ti. This nice coincidence gives rise to this quite pleasing toroid, built from nothing but just 20 thawroes (as if being placed on top of an afterwards again removed ti), thereby blending out those adjoining squares.
Incidence matrix according to Dynkin symbol
oxFx3xfox5fovo&#zxt → all existing heights = 0 o...3o...5o... | 60 * * * | 2 2 0 0 0 0 0 0 | 1 1 2 0 0 0 [(3,5)2] .o..3.o..5.o.. | * 60 * * | 0 2 1 2 1 0 0 0 | 0 2 2 2 0 0 [(3,3,5)2] ..o.3..o.5..o. | * * 60 * | 0 0 0 2 0 2 0 0 | 0 0 1 2 1 0 [33,5] ...o3...o5...o | * * * 60 | 0 0 0 0 1 2 1 2 | 0 0 0 2 2 2 [34,62] --------------------+-------------+----------------------------+------------------- .... x... .... | 2 0 0 0 | 60 * * * * * * * | 1 0 1 0 0 0 oo..3oo..5oo..&#x | 1 1 0 0 | * 120 * * * * * * | 0 1 1 0 0 0 .x.. .... .... | 0 2 0 0 | * * 30 * * * * * | 0 2 0 0 0 0 .oo.3.oo.5.oo.&#x | 0 1 1 0 | * * * 120 * * * * | 0 0 1 1 0 0 .o.o3.o.o5.o.o&#x | 0 1 0 1 | * * * * 60 * * * | 0 0 0 2 0 0 ..oo3..oo5..oo&#x | 0 0 1 1 | * * * * * 120 * * | 0 0 0 1 1 0 ...x .... .... | 0 0 0 2 | * * * * * * 30 * | 0 0 0 0 0 2 .... ...x .... | 0 0 0 2 | * * * * * * * 60 | 0 0 0 0 1 1 --------------------+-------------+----------------------------+------------------- o...3x... .... | 3 0 0 0 | 3 0 0 0 0 0 0 0 | 20 * * * * * ox.. .... ....&#x | 1 2 0 0 | 0 2 1 0 0 0 0 0 | * 60 * * * * .... xfo. ....&#xt | 2 2 1 0 | 1 2 0 2 0 0 0 0 | * * 60 * * * .ooo3.ooo5.ooo&#x | 0 1 1 1 | 0 0 0 1 1 1 0 0 | * * * 120 * * .... ..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 2 0 1 | * * * * 60 * ...x3...x .... | 0 0 0 6 | 0 0 0 0 0 0 3 3 | * * * * * 20
© 2004-2024 | top of page |