Acronym | ... |
Name | 2srahi+1440{10}+4800{3} (?) |
Circumradius | sqrt[23+10 sqrt(5)] = 6.735034 |
General of army | srahi |
Colonel of regiment | srahi |
Confer |
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This is a scaliform variant of a faceting of a Grünbaumian double-cover of the small rhombated hecatonicosachoron (srahi), the additional 4800 triangles are used to produce a quadruple coincidence of the former oct-srid triangles, and the decagons are faceting faces of the small rhombicosidodecahedra (srid).
Incidence matrix according to Dynkin symbol
β3β3o5x both( . . . . ) | 7200 | 2 4 2 | 1 2 1 3 4 2 | 1 2 1 3 ----------------+------+-----------------+-------------------------------+------------------ both( . . . x ) | 2 | 7200 * * | 1 0 0 0 2 1 | 0 1 1 2 sefa( s3s . . ) | 2 | * 14400 * | 0 1 0 1 1 0 | 1 1 0 1 sefa( . β3o . ) | 2 | * * 7200 | 0 0 1 1 0 1 | 1 0 1 1 ----------------+------+-----------------+-------------------------------+------------------ both( . . o5x ) | 5 | 5 0 0 | 1440 * * * * * | 0 0 1 1 both( s3s . . ) ♦ 3 | 0 3 0 | * 4800 * * * * | 1 1 0 0 . β3o . ♦ 3 | 0 0 3 | * * 2400 * * * | 1 0 1 0 sefa( β3β3o . ) | 3 | 0 2 1 | * * * 7200 * * | 1 0 0 1 sefa( s3s 2 x ) | 4 | 2 2 0 | * * * * 7200 * | 0 1 0 1 sefa( . β3o5x ) | 10 | 5 0 5 | * * * * * 1440 | 0 0 1 1 ----------------+------+-----------------+-------------------------------+------------------ β3β3o . ♦ 12 | 0 24 12 | 0 8 4 12 0 0 | 600 * * * both( s3s 2 x ) ♦ 6 | 3 6 0 | 0 2 0 0 3 0 | * 2400 * * . β3o5x ♦ 60 | 60 0 60 | 12 0 20 0 0 12 | * * 120 * sefa( β3β3o5x ) ♦ 15 | 10 10 5 | 1 0 0 5 5 1 | * * * 1440 starting figure: x3x3o5x
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