Acronym | ... |
Name | 2oct+6{4} (?) |
Circumradius | 1/sqrt(2) = 0.707107 |
Vertex figure | 4[4,6/2,6/2] |
General of army | oct |
Colonel of regiment | oct |
Confer |
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Looks like a compound of 2 octahedra (oct) plus the 3 diametral squares each, and indeed vertices coincide by four, edges coincide by three, {4} coincide by pairs.
Incidence matrix according to Dynkin symbol
x3/2x4o . . . | 24 | 1 2 | 2 1 --------+----+-------+---- x . . | 2 | 12 * | 2 0 . x . | 2 | * 24 | 1 1 --------+----+-------+---- x3/2x . | 6 | 3 3 | 8 * . x4o | 4 | 0 4 | * 6 snubbed forms: s3/2s4o
o4/3x3/2x . . . | 24 | 2 1 | 1 2 ----------+----+-------+---- . x . | 2 | 24 * | 1 1 . . x | 2 | * 12 | 0 2 ----------+----+-------+---- o4/3x . | 4 | 4 0 | 6 * . x3/2x | 6 | 3 3 | * 8 snubbed forms: o4/3s3/2s
x3/2x3/2x . . . | 24 | 1 1 1 | 1 1 1 ----------+----+----------+------ x . . | 2 | 12 * * | 1 1 0 . x . | 2 | * 12 * | 1 0 1 . . x | 2 | * * 12 | 0 1 1 ----------+----+----------+------ x3/2x . | 6 | 3 3 0 | 4 * * x . x | 4 | 2 0 2 | * 6 * . x3/2x | 6 | 0 3 3 | * * 4 snubbed forms: s3/2s3/2s
(-x)3x4o . . . | 24 | 1 2 | 2 1 ---------+----+-------+---- -x . . | 2 | 12 * | 2 0 . x . | 2 | * 24 | 1 1 ---------+----+-------+---- (-x)3x . | 6 | 3 3 | 8 * . x4o | 4 | 0 4 | * 6
x3(-x)3x . . . | 24 | 1 1 1 | 1 1 1 ---------+----+----------+------ x . . | 2 | 12 * * | 1 1 0 . -x . | 2 | * 12 * | 1 0 1 . . x | 2 | * * 12 | 0 1 1 ---------+----+----------+------ x3(-x) . | 6 | 3 3 0 | 4 * * x . x | 4 | 2 0 2 | * 6 * . (-x)3x | 6 | 0 3 3 | * * 4
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