Acronym | ... |
Name | 2did (?) |
Circumradius | 1 |
Vertex figure |
2[(5/2,10/2)2] (type A) or 2[(10/4,5)2] (type B) |
General of army | id |
Colonel of regiment | did |
Confer |
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Looks like a compound of 2 dodecadodecahedra (did), and indeed vertices, edges, and either {5/2} (type A) or {5} (type B) all coincide by pairs.
Incidence matrix according to Dynkin symbol
x5/2x5/2o5/2*a (type A) . . . | 60 | 2 2 | 2 1 1 ---------------+----+-------+--------- x . . | 2 | 60 * | 1 1 0 . x . | 2 | * 60 | 1 0 1 ---------------+----+-------+--------- x5/2x . | 10 | 5 5 | 12 * * x . o5/2*a | 5 | 5 0 | * 12 * . x5/2o | 5 | 0 5 | * * 12
x5/4x5o5*a (type B) . . . | 60 | 2 2 | 2 1 1 -----------+----+-------+--------- x . . | 2 | 60 * | 1 1 0 . x . | 2 | * 60 | 1 0 1 -----------+----+-------+--------- x5/4x . | 10 | 5 5 | 12 * * x . o5*a | 5 | 5 0 | * 12 * . x5o | 5 | 0 5 | * * 12
x5/3o5/3x5/2*a (type A) . . . | 60 | 2 2 | 1 2 1 ---------------+----+-------+--------- x . . | 2 | 60 * | 1 1 0 . . x | 2 | * 60 | 0 1 1 ---------------+----+-------+--------- x5/3o . | 5 | 5 0 | 12 * * x . x5/2*a | 10 | 5 5 | * 12 * . o5/3x | 5 | 0 5 | * * 12
x5/4x5/4o5/4*a (type B) . . . | 60 | 2 2 | 2 1 1 ---------------+----+-------+--------- x . . | 2 | 60 * | 1 1 0 . x . | 2 | * 60 | 1 0 1 ---------------+----+-------+--------- x5/4x . | 10 | 5 5 | 12 * * x . o5/4*a | 5 | 5 0 | * 12 * . x5/4o | 5 | 0 5 | * * 12
β5/2x5o (type B) both( . . . ) | 60 | 2 2 | 1 2 1 ----------------+----+-------+--------- both( . x . ) | 2 | 60 * | 1 1 0 sefa( β5/2x . ) | 2 | * 60 | 0 1 1 ----------------+----+-------+--------- both( . x5o ) | 5 | 5 0 | 12 * * β5/2x . ♦ 10 | 5 5 | * 12 * sefa( β5/2x5o ) | 5 | 0 5 | * * 12 starting figure: x5/2x5o
x5/2o5β (type A) both( . . . ) | 60 | 2 2 | 1 1 2 ----------------+----+-------+--------- both( x . . ) | 2 | 60 * | 1 0 1 sefa( . o5β ) | 2 | * 60 | 0 1 1 ----------------+----+-------+--------- both( x5/2o . ) | 5 | 5 0 | 12 * * . o5β ♦ 5 | 0 5 | * 12 * sefa( x5/2o5β ) | 10 | 5 5 | * * 12 starting figure: x5/2o5x
o5/2x5β (type A) both( . . . ) | 60 | 2 2 | 1 2 1 ----------------+----+-------+--------- both( . x . ) | 2 | 60 * | 1 1 0 sefa( . x5β ) | 2 | * 60 | 0 1 1 ----------------+----+-------+--------- both( o5/2x . ) | 5 | 5 0 | 12 * * . x5β ♦ 10 | 5 5 | * 12 * sefa( o5/2x5β ) | 5 | 0 5 | * * 12 starting figure: o5/2x5x
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