Acronym | ... |
Name | 2srix+2400{6}+7200{3} (?) |
Circumradius | sqrt[19+8 sqrt(5)] = 6.073594 |
General of army | srix |
Colonel of regiment | srix |
Confer |
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This is a scaliform variant of a faceting of a Grünbaumian double-cover of the small rhombated hexacosachora (srix), the additional 7200 triangles are used to produce a octuple coincidence of the former co-id triangles, and the hexagons are faceting faces of the cuboctahedra (co).
Incidence matrix according to Dynkin symbol
β3o3x5β both( . . . . ) | 7200 | 2 2 2 2 | 1 1 2 2 3 4 1 | 1 1 2 1 3 ----------------+------+---------------------+------------------------------------+---------------------- both( . . x . ) | 2 | 7200 * * * | 1 0 1 1 0 1 0 | 1 0 1 1 1 both( s .2. s ) | 2 | * 7200 * * | 0 0 0 0 2 2 0 | 0 1 1 0 2 sefa( β3o . . ) | 2 | * * 7200 * | 0 1 0 1 1 0 0 | 1 1 0 0 1 sefa( . . x5β ) | 2 | * * * 7200 | 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------------+------+---------------------+------------------------------------+---------------------- both( . o3x . ) | 3 | 3 0 0 0 | 2400 * * * * * * | 1 0 0 1 0 β3o . . ♦ 3 | 0 0 3 0 | * 2400 * * * * * | 1 1 0 0 0 . . x5β ♦ 10 | 5 0 0 5 | * * 1440 * * * * | 0 0 1 1 0 sefa( β3o3x . ) | 6 | 3 0 3 0 | * * * 2400 * * * | 1 0 0 0 1 sefa( β3o 2 β ) | 3 | 0 2 1 0 | * * * * 7200 * * | 0 1 0 0 1 sefa( β 2 x5β ) | 4 | 1 2 0 1 | * * * * * 7200 * | 0 0 1 0 1 sefa( . o3x5β ) | 3 | 0 0 0 3 | * * * * * * 2400 | 0 0 0 1 1 ----------------+------+---------------------+------------------------------------+---------------------- β3o3x . ♦ 12 | 12 0 12 0 | 4 4 0 4 0 0 0 | 600 * * * * β3o 2 β ♦ 6 | 0 6 6 0 | 0 2 0 0 6 0 0 | * 1200 * * * β 2 x5β ♦ 20 | 10 10 0 10 | 0 0 2 0 0 10 0 | * * 720 * * . o3x5β ♦ 60 | 60 0 0 60 | 20 0 12 0 0 0 20 | * * * 120 * sefa( β3o3x5β ) ♦ 9 | 3 6 3 3 | 0 0 0 1 3 3 1 | * * * * 2400 starting figure: x3o3x5x
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