| Acronym | tex | |||||||||||||||
| Name | truncated hexacosachoron | |||||||||||||||
| 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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| Confer |
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External links |
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As abstract polytope tex is isomorphic to taggix, thereby replacing the pentagonal edge figures by pentagrammal ones, resp. replacing ike by gike.
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
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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