Acronym | ... |
Name | 3tet (?) |
Circumradius | sqrt(3/8) = 0.612372 |
Vertex figure | 3[3,6/2,6/2] |
General of army | tet |
Colonel of regiment | tet |
Confer |
Looks like a compound of 3 tetrahedra (tet), and indeed vertices and edges both coincide by three, {3} and {6/2} coincide.
Incidence matrix according to Dynkin symbol
x3/2x3o . . . | 12 | 1 2 | 2 1 --------+----+------+---- x . . | 2 | 6 * | 2 0 . x . | 2 | * 12 | 1 1 --------+----+------+---- x3/2x . | 6 | 3 3 | 4 * . x3o | 3 | 0 3 | * 4 snubbed forms: β3/2x3o, x3/2β3o, β3/2β3o
x3/2x3/2o . . . | 12 | 1 2 | 2 1 ----------+----+------+---- x . . | 2 | 6 * | 2 0 . x . | 2 | * 12 | 1 1 ----------+----+------+---- x3/2x . | 6 | 3 3 | 4 * . x3/2o | 3 | 0 3 | * 4
(-x)3x3o . . . | 12 | 1 2 | 2 1 ---------+----+------+---- -x . . | 2 | 6 * | 2 0 . x . | 2 | * 12 | 1 1 ---------+----+------+---- (-x)3x . | 6 | 3 3 | 4 * . x3o | 3 | 0 3 | * 4
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