Acronym | danbitot |
Name | dispenteractibitruncated triacontaditeron |
Field of sections |
© |
Circumradius | sqrt(13)/2 = 1.802776 |
Vertex figure |
© |
Coordinates | ((1+sqrt(2))/2, (1+sqrt(2))/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2) & all permutations, all changes of sign |
Colonel of regiment | (is itself locally convex – no other uniform polyteral members) |
Face vector | 960, 2400, 1760, 480, 52 |
Confer |
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External links |
As abstract polytope danbitot is automorph, thereby interchanging the roles of octagons and octagrams, resp. of tic and quith, resp. of thatoth and thaquitoth.
Incidence matrix according to Dynkin symbol
o3x3x3o *b4x4/3*c . . . . . | 960 | 2 2 1 | 1 4 2 1 2 | 2 1 2 4 1 | 1 2 2 ------------------+-----+-------------+---------------------+------------------+--------- . x . . . | 2 | 960 * * | 1 2 1 0 0 | 2 1 1 2 0 | 1 2 1 . . x . . | 2 | * 960 * | 0 2 0 1 1 | 1 0 2 2 1 | 1 1 2 . . . . x | 2 | * * 480 | 0 0 2 0 2 | 0 1 0 4 1 | 0 2 2 ------------------+-----+-------------+---------------------+------------------+--------- o3x . . . | 3 | 3 0 0 | 320 * * * * | 2 1 0 0 0 | 1 2 0 . x3x . . | 6 | 3 3 0 | * 640 * * * | 1 0 1 1 0 | 1 1 1 . x . . *b4x | 8 | 4 0 4 | * * 240 * * | 0 1 0 2 0 | 0 2 1 . . x3o . | 3 | 0 3 0 | * * * 320 * | 0 0 2 0 1 | 1 0 2 . . x . x4/3*c | 8 | 0 4 4 | * * * * 240 | 0 0 0 2 1 | 0 1 2 ------------------+-----+-------------+---------------------+------------------+--------- o3x3x . . ♦ 12 | 12 6 0 | 4 4 0 0 0 | 160 * * * * | 1 1 0 o3x . . *b4x ♦ 24 | 24 0 12 | 8 0 6 0 0 | * 40 * * * | 0 2 0 . x3x3o . ♦ 12 | 6 12 0 | 0 4 0 4 0 | * * 160 * * | 1 0 1 . x3x . *b4x4/3*c ♦ 48 | 24 24 24 | 0 8 6 0 6 | * * * 80 * | 0 1 1 . . x3o x4/3*c ♦ 24 | 0 24 12 | 0 0 0 8 6 | * * * * 40 | 0 0 2 ------------------+-----+-------------+---------------------+------------------+--------- o3x3x3o . ♦ 30 | 30 30 0 | 10 20 0 10 0 | 5 0 5 0 0 | 32 * * o3x3x . *b4x4/3*c ♦ 192 | 192 96 96 | 64 64 48 0 24 | 16 8 0 8 0 | * 10 * . x3x3o *b4x4/3*c ♦ 192 | 96 192 96 | 0 64 24 64 48 | 0 0 16 8 8 | * * 10
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