Acronym | cubatic, cube || tic |
Name | (degenerate) cube atop truncated cube |
© | |
Segmentochoron display | |
Circumradius | ∞ i.e. flat in euclidean space |
Dihedral angles | |
Face vector | 32, 72, 56, 16 |
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
oo3ox4xx&#x → height = 0 (cube || tic) o.3o.4o. | 8 * | 3 3 0 0 | 3 3 3 0 0 | 1 1 3 0 .o3.o4.o | * 24 | 0 1 2 1 | 0 2 1 1 2 | 0 1 2 1 ------------+------+-------------+-------------+-------- .. .. x. | 2 0 | 12 * * * | 2 0 1 0 0 | 1 0 2 0 oo3oo4oo&#x | 1 1 | * 24 * * | 0 2 1 0 0 | 0 1 2 0 .. .x .. | 0 2 | * * 24 * | 0 1 0 1 1 | 0 1 1 1 .. .. .x | 0 2 | * * * 12 | 0 0 1 0 2 | 0 0 2 1 ------------+------+-------------+-------------+-------- .. o.4x. | 4 0 | 4 0 0 0 | 6 * * * * | 1 0 1 0 .. ox ..&#x | 1 2 | 0 2 1 0 | * 24 * * * | 0 1 1 0 .. .. xx&#x | 2 2 | 1 2 0 1 | * * 12 * * | 0 0 2 0 .o3.x .. | 0 3 | 0 0 3 0 | * * * 8 * | 0 1 0 1 .. .x4.x | 0 8 | 0 0 4 4 | * * * * 6 | 0 0 1 1 ------------+------+-------------+-------------+-------- o.3o.4x. ♦ 8 0 | 12 0 0 0 | 6 0 0 0 0 | 1 * * * oo3ox ..&#x ♦ 1 3 | 0 3 3 0 | 0 3 0 1 0 | * 8 * * .. ox4xx&#x ♦ 4 8 | 4 8 4 4 | 1 4 4 0 1 | * * 6 * .o3.x4.x ♦ 0 24 | 0 0 24 12 | 0 0 0 8 6 | * * * 1
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