Acronym | gaquapac | ||||||
Name | great quasiprismatotetracontoctachoron | ||||||
Cross sections |
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Circumradius | sqrt[14-9 sqrt(2)] = 1.127864 | ||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 1152, 2304, 1392, 240 | ||||||
Confer |
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External links |
As abstract polytope gaquapac is isomorphic to gippic, thereby replacing the octagrams by octagons, resp. replacing the quitco by girco.
Incidence matrix according to Dynkin symbol
x3x4/3x3x . . . . | 1152 | 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 ----------+------+-----------------+-------------------------+------------ x . . . | 2 | 576 * * * | 1 1 1 0 0 0 | 1 1 1 0 . x . . | 2 | * 576 * * | 1 0 0 1 1 0 | 1 1 0 1 . . x . | 2 | * * 576 * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * * 576 | 0 0 1 0 1 1 | 0 1 1 1 ----------+------+-----------------+-------------------------+------------ x3x . . | 6 | 3 3 0 0 | 192 * * * * * | 1 1 0 0 x . x . | 4 | 2 0 2 0 | * 288 * * * * | 1 0 1 0 x . . x | 4 | 2 0 0 2 | * * 288 * * * | 0 1 1 0 . x4/3x . | 8 | 0 4 4 0 | * * * 144 * * | 1 0 0 1 . x . x | 4 | 0 2 0 2 | * * * * 288 * | 0 1 0 1 . . x3x | 6 | 0 0 3 3 | * * * * * 192 | 0 0 1 1 ----------+------+-----------------+-------------------------+------------ x3x4/3x . ♦ 48 | 24 24 24 0 | 8 12 0 6 0 0 | 24 * * * x3x . x ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 | * 96 * * x . x3x ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 | * * 96 * . x4/3x3x ♦ 48 | 0 24 24 24 | 0 0 0 6 12 8 | * * * 24
or . . . . | 1152 | 2 2 | 2 2 1 1 | 2 2 -------------+------+-----------+-----------------+------- x . . . & | 2 | 1152 * | 1 1 1 0 | 1 2 . x . . & | 2 | * 1152 | 1 1 0 1 | 2 1 -------------+------+-----------+-----------------+------- x3x . . & | 6 | 3 3 | 384 * * * | 1 1 x . x . & | 4 | 2 2 | * 576 * * | 1 1 x . . x | 4 | 4 0 | * * 288 * | 0 2 . x4/3x . | 8 | 0 8 | * * * 144 | 2 0 -------------+------+-----------+-----------------+------- x3x4/3x . & ♦ 48 | 24 48 | 8 12 0 6 | 48 * x3x . x & ♦ 12 | 12 6 | 2 3 3 0 | * 192
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