Acronym | sircoagirco, sirco || girco |
Name | (degenerate) small rhombicuboctahedron atop great rhombicuboctahedron |
© | |
Segmentochoron display | |
Circumradius | ∞ i.e. flat in euclidean space |
Dihedral angles |
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Face vector | 72, 168, 124, 28 |
Confer |
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It either can be thought of as a degenerate 4D segmentotope with zero height, or as a 3D euclidean decomposition of the larger base into smaller bits.
Incidence matrix according to Dynkin symbol
xx3ox4xx&#x → height = 0 (sirco || girco) o.3o.4o. | 24 * | 2 2 2 0 0 0 | 1 2 1 2 1 2 0 0 0 | 1 1 2 1 0 .o3.o4.o | * 48 | 0 0 1 1 1 1 | 0 0 0 1 1 1 1 1 1 | 0 1 1 1 1 ------------+-------+-------------------+------------------------+----------- x. .. .. | 2 0 | 24 * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0 .. .. x. | 2 0 | * 24 * * * * | 0 1 1 0 0 1 0 0 0 | 1 0 1 1 0 oo3oo4oo&#x | 1 1 | * * 48 * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0 .x .. .. | 0 2 | * * * 24 * * | 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1 .. .x .. | 0 2 | * * * * 24 * | 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1 .. .. .x | 0 2 | * * * * * 24 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1 ------------+-------+-------------------+------------------------+----------- x.3o. .. | 3 0 | 3 0 0 0 0 0 | 8 * * * * * * * * | 1 1 0 0 0 x. .. x. | 4 0 | 2 2 0 0 0 0 | * 12 * * * * * * * | 1 0 1 0 0 .. o.4x. | 4 0 | 0 4 0 0 0 0 | * * 6 * * * * * * | 1 0 0 1 0 xx .. ..&#x | 2 2 | 1 0 2 1 0 0 | * * * 24 * * * * * | 0 1 1 0 0 .. ox ..&#x | 1 2 | 0 0 2 0 1 0 | * * * * 24 * * * * | 0 1 0 1 0 .. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * * * 24 * * * | 0 0 1 1 0 .x3.x .. | 0 6 | 0 0 0 3 3 0 | * * * * * * 8 * * | 0 1 0 0 1 .x .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * * 12 * | 0 0 1 0 1 .. .x4.x | 0 8 | 0 0 0 0 4 4 | * * * * * * * * 6 | 0 0 0 1 1 ------------+-------+-------------------+------------------------+----------- x.3o.4x. ♦ 24 0 | 24 24 0 0 0 0 | 8 12 6 0 0 0 0 0 0 | 1 * * * * xx3ox ..&#x ♦ 3 6 | 3 0 6 3 3 0 | 1 0 0 3 3 0 1 0 0 | * 8 * * * xx .. xx&#x ♦ 4 4 | 2 2 4 2 0 2 | 0 1 0 2 0 2 0 1 0 | * * 12 * * .. ox4xx&#x ♦ 4 8 | 0 4 8 0 4 4 | 0 0 1 0 4 4 0 0 1 | * * * 6 * .x3.x4.x ♦ 0 48 | 0 0 0 24 24 24 | 0 0 0 0 0 0 8 12 6 | * * * * 1
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