Acronym | copy, pt || co |
Name | (degenerate) cuboctahedron pyramid |
Segmentochoron display | |
Circumradius | ∞ i.e. flat in euclidean space |
Dihedral angles | |
Face vector | 13, 36, 38, 15 |
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
oo3ox4oo&#x → height = 0 (pt || co) o.3o.4o. | 1 * ♦ 12 0 | 24 0 0 | 8 6 0 .o3.o4.o | * 12 | 1 4 | 4 2 2 | 2 2 1 ------------+------+-------+--------+------ oo3oo4oo&#x | 1 1 | 12 * | 4 0 0 | 2 2 0 .. .x .. | 0 2 | * 24 | 1 1 1 | 1 1 1 ------------+------+-------+--------+------ .. ox ..&#x | 1 2 | 2 1 | 24 * * | 1 1 0 .o3.x .. | 0 3 | 0 3 | * 8 * | 1 0 1 .. .x4.o | 0 4 | 0 4 | * * 6 | 0 1 1 ------------+------+-------+--------+------ oo3ox ..&#x ♦ 1 3 | 3 3 | 3 1 0 | 8 * * .. ox4oo&#x ♦ 1 4 | 4 4 | 4 0 1 | * 6 * .o3.x4.o ♦ 0 12 | 0 24 | 0 8 6 | * * 1
ox3oo3ox&#x → height = 0 (pt || co) o.3o.3o. | 1 * ♦ 12 0 0 | 12 12 0 0 0 | 4 6 4 0 .o3.o3.o | * 12 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 ------------+------+----------+-------------+-------- oo3oo3oo&#x | 1 1 | 12 * * | 2 2 0 0 0 | 1 2 1 0 .x .. .. | 0 2 | * 12 * | 1 0 1 1 0 | 1 1 0 1 .. .. .x | 0 2 | * * 12 | 0 1 0 1 1 | 0 1 1 1 ------------+------+----------+-------------+-------- ox .. ..&#x | 1 2 | 2 1 0 | 12 * * * * | 1 1 0 0 .. .. ox&#x | 1 2 | 2 0 1 | * 12 * * * | 0 1 1 0 .x3.o .. | 0 3 | 0 3 0 | * * 4 * * | 1 0 0 1 .x .. .x | 0 4 | 0 2 2 | * * * 6 * | 0 1 0 1 .. .o3.x | 0 3 | 0 0 3 | * * * * 4 | 0 0 1 1 ------------+------+----------+-------------+-------- ox3oo ..&#x ♦ 1 3 | 3 3 0 | 3 0 1 0 0 | 4 * * * ox .. ox&#x ♦ 1 4 | 4 2 2 | 2 2 0 1 0 | * 6 * * .. oo3ox&#x ♦ 1 3 | 3 0 3 | 0 3 0 0 1 | * * 4 * .x3.o3.x ♦ 0 12 | 0 12 12 | 0 0 4 6 4 | * * * 1 snubbed forms: oβ3oo3ox&#x
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