Acronym | tex | |||||||||||||||
Name | truncated hexacosachoron | |||||||||||||||
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Cross sections |
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Circumradius | sqrt[(23+9 sqrt(5))/2] = 4.643523 | |||||||||||||||
Vertex figure |
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General of army | (is itself convex) | |||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Dihedral angles | ||||||||||||||||
Face vector | 1440, 4320, 3600, 720 | |||||||||||||||
Confer |
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External links |
As abstract polytope tex is isomorphic to taggix, thereby replacing the pentagonal edge figures by pentagrammal ones, resp. replacing ike by gike.
Note that tex can be thought of as the external blend of 1 rahi + 600 further tetaltuts + 720 peppypies + 120 ikaids. This decomposition is described as the (also subdimensioanlly) degenerate segmentoteron ox3ox3xo5oo&#x.
Incidence matrix according to Dynkin symbol
x3x3o5o . . . . | 1440 | 1 5 | 5 5 | 5 1 --------+------+----------+-----------+-------- x . . . | 2 | 720 * | 5 0 | 5 0 . x . . | 2 | * 3600 | 1 2 | 2 1 --------+------+----------+-----------+-------- x3x . . | 6 | 3 3 | 1200 * | 2 0 . x3o . | 3 | 0 3 | * 2400 | 1 1 --------+------+----------+-----------+-------- x3x3o . ♦ 12 | 6 12 | 4 4 | 600 * . x3o5o ♦ 12 | 0 30 | 0 20 | * 120 snubbed forms: β3x3o5o, x3β3o5o, β3β3o5o
x3x3o5/4o . . . . | 1440 | 1 5 | 5 5 | 5 1 ----------+------+----------+-----------+-------- x . . . | 2 | 720 * | 5 0 | 5 0 . x . . | 2 | * 3600 | 1 2 | 2 1 ----------+------+----------+-----------+-------- x3x . . | 6 | 3 3 | 1200 * | 2 0 . x3o . | 3 | 0 3 | * 2400 | 1 1 ----------+------+----------+-----------+-------- x3x3o . ♦ 12 | 6 12 | 4 4 | 600 * . x3o5/4o ♦ 12 | 0 30 | 0 20 | * 120
x3x3/2o5o . . . . | 1440 | 1 5 | 5 5 | 5 1 ----------+------+----------+-----------+-------- x . . . | 2 | 720 * | 5 0 | 5 0 . x . . | 2 | * 3600 | 1 2 | 2 1 ----------+------+----------+-----------+-------- x3x . . | 6 | 3 3 | 1200 * | 2 0 . x3/2o . | 3 | 0 3 | * 2400 | 1 1 ----------+------+----------+-----------+-------- x3x3/2o . ♦ 12 | 6 12 | 4 4 | 600 * . x3/2o5o ♦ 12 | 0 30 | 0 20 | * 120
x3x3/2o5/4o . . . . | 1440 | 1 5 | 5 5 | 5 1 ------------+------+----------+-----------+-------- x . . . | 2 | 720 * | 5 0 | 5 0 . x . . | 2 | * 3600 | 1 2 | 2 1 ------------+------+----------+-----------+-------- x3x . . | 6 | 3 3 | 1200 * | 2 0 . x3/2o . | 3 | 0 3 | * 2400 | 1 1 ------------+------+----------+-----------+-------- x3x3/2o . ♦ 12 | 6 12 | 4 4 | 600 * . x3/2o5/4o ♦ 12 | 0 30 | 0 20 | * 120
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