Acronym | tetaltut, tet || inv. tut |
Name |
(degenerate) tetrahedron atop inverted truncated tetrahedron, (degenerate) tetrahedron atop alternate truncated tetrahedron |
© | |
Segmentochoron display | |
Circumradius | ∞ i.e. flat in euclidean space |
Dihedral angles | |
Face vector | 16, 48, 48, 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
ox3ox3xo&#x → height = 0 (tet || inv. tut) o.3o.3o. | 4 * | 3 6 0 0 | 3 3 3 6 0 0 | 1 1 3 3 0 .o3.o3.o | * 12 | 0 2 1 2 | 0 2 2 1 2 1 | 0 2 1 1 1 ------------+------+-----------+----------------+---------- .. .. x. | 2 0 | 6 * * * | 2 0 0 2 0 0 | 1 0 1 2 0 oo3oo3oo&#x | 1 1 | * 24 * * | 0 1 1 1 0 0 | 0 1 1 1 0 .x .. .. | 0 2 | * * 6 * | 0 2 0 0 2 0 | 0 2 1 0 1 .. .x .. | 0 2 | * * * 12 | 0 0 1 0 1 1 | 0 1 0 1 1 ------------+------+-----------+----------------+---------- .. o.3x. | 3 0 | 3 0 0 0 | 4 * * * * * | 1 0 0 1 0 ox .. ..&#x | 1 2 | 0 2 1 0 | * 12 * * * * | 0 1 1 0 0 .. ox ..&#x | 1 2 | 0 2 0 1 | * * 12 * * * | 0 1 0 1 0 .. .. xo&#x | 2 1 | 1 2 0 0 | * * * 12 * * | 0 0 1 1 0 .x3.x .. | 0 6 | 0 0 3 3 | * * * * 4 * | 0 1 0 0 1 .. .x3.o | 0 3 | 0 0 0 3 | * * * * * 4 | 0 0 0 1 1 ------------+------+-----------+----------------+---------- o.3o.3x. ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 | 1 * * * * ox3ox ..&#x ♦ 1 6 | 0 6 3 3 | 0 3 3 0 1 0 | * 4 * * * ox .. xo&#x ♦ 2 2 | 1 4 1 0 | 0 2 0 2 0 0 | * * 6 * * .. ox3xo&#x ♦ 3 3 | 3 6 0 3 | 1 0 3 3 0 1 | * * * 4 * .x3.x3.o ♦ 0 12 | 0 0 6 12 | 0 0 0 0 4 4 | * * * * 1
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