Acronym | quith |
TOCID symbol | tC* |
Name |
quasitruncated hexahedron, stellated truncated hexahedron, stellatruncated cube |
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Circumradius | sqrt[7-4 sqrt(2)]/2 = 0.579471 |
Inradius wrt. {8/3} | [sqrt(2)-1]/2 = 0.207107 |
Inradius wrt. {3} | (3-2 sqrt(2))/sqrt(12) = 0.049529 |
Density | 7 |
Vertex figure | [3,(8/3)2] |
Coordinates | ((sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2) & all permutations, all changes of sign |
Volume | (21-14 sqrt(2))/3 = 0.400337 |
Surface | -12+12 sqrt(2)+2 sqrt(3) = 8.434664 |
General of army | sirco |
Dihedral angles |
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Colonel of regiment | (is itself locally convex – no other uniform polyhedral members) |
Face vector | 24, 36, 14 |
Confer |
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External links |
As abstract polytope quith is isomorphic to tic, thereby replacing octagrams by octagons.
Incidence matrix according to Dynkin symbol
x4/3x3o . . . | 24 | 1 2 | 2 1 --------+----+-------+---- x . . | 2 | 12 * | 2 0 . x . | 2 | * 24 | 1 1 --------+----+-------+---- x4/3x . | 8 | 4 4 | 6 * . x3o | 3 | 0 3 | * 8
x4/3x3/2o . . . | 24 | 1 2 | 2 1 ----------+----+-------+---- x . . | 2 | 12 * | 2 0 . x . | 2 | * 24 | 1 1 ----------+----+-------+---- x4/3x . | 8 | 4 4 | 6 * . x3/2o | 3 | 0 3 | * 8
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