Acronym | thatpath | ||||||||||
Name | tesseractihexadecatruncated prismatotesseractihexadecachoron | ||||||||||
Cross sections |
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Circumradius | sqrt[4+sqrt(2)] = 2.326846 | ||||||||||
Coordinates | (1+2 sqrt(2), 1+sqrt(2), 1, sqrt(2)-1)/2 & all permutations, all changes of sign | ||||||||||
Dihedral angles | |||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 384, 768, 416, 56 | ||||||||||
Confer |
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External links |
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As abstract polytope thatpath is isomorphic to thaquitpath, thereby interchanging the roles of octagrams and octagons, resp. replacing girco by quitco and stop by op.
Incidence matrix according to Dynkin symbol
x 3 | x 3 / \ 4 x---x 4/3
x3x3x4/3x4*b . . . . | 384 | 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 -------------+-----+-----------------+-------------------+---------- x . . . | 2 | 192 * * * | 1 1 1 0 0 0 | 1 1 1 0 . x . . | 2 | * 192 * * | 1 0 0 1 1 0 | 1 1 0 1 . . x . | 2 | * * 192 * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * * 192 | 0 0 1 0 1 1 | 0 1 1 1 -------------+-----+-----------------+-------------------+---------- x3x . . | 6 | 3 3 0 0 | 64 * * * * * | 1 1 0 0 x . x . | 4 | 2 0 2 0 | * 96 * * * * | 1 0 1 0 x . . x | 4 | 2 0 0 2 | * * 96 * * * | 0 1 1 0 . x3x . | 6 | 0 3 3 0 | * * * 64 * * | 1 0 0 1 . x . x4*b | 8 | 0 4 0 4 | * * * * 48 * | 0 1 0 1 . . x4/3x | 8 | 0 0 4 4 | * * * * * 48 | 0 0 1 1 -------------+-----+-----------------+-------------------+---------- x3x3x . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 | 16 * * * x3x . x4*b ♦ 48 | 24 24 0 24 | 8 0 12 0 6 0 | * 8 * * x . x4/3x ♦ 16 | 8 0 8 8 | 0 4 4 0 0 2 | * * 24 * . x3x4/3x4*b ♦ 48 | 0 24 24 24 | 0 0 0 8 6 6 | * * * 8
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