Acronym | sinnontip |
Name | sinnont prism |
Circumradius | sqrt[(4+sqrt(2))/2] = 1.645329 |
Face vector | 320, 1440, 1920, 1200, 384, 54 |
Confer |
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As abstract polytope sinnontip is isomorphic to ginnontip, thereby replacing octagons by octagrams, resp. op by stop and socco by gocco, resp. soccope by goccope and steth by gittith, resp. stethip by gittithip and sinnont by ginnont.
Incidence matrix according to Dynkin symbol
x o3o3o3x4x4/3*d . . . . . . | 320 | 1 4 4 | 4 4 6 6 4 | 6 6 4 4 4 6 | 4 4 6 1 1 4 | 1 1 4 1 -----------------+-----+-------------+---------------------+-----------------------+--------------------+----------- x . . . . . | 2 | 160 * * | 4 4 0 0 0 | 6 6 4 0 0 0 | 4 4 6 0 0 0 | 1 1 4 0 . . . . x . | 2 | * 640 * | 1 0 3 0 1 | 3 0 1 3 0 3 | 3 0 3 1 0 3 | 1 0 3 1 . . . . . x | 2 | * * 640 | 0 1 0 3 1 | 0 3 1 0 3 3 | 0 3 3 0 1 3 | 0 1 3 1 -----------------+-----+-------------+---------------------+-----------------------+--------------------+----------- x . . . x . | 4 | 2 2 0 | 320 * * * * | 3 0 1 0 0 0 | 3 0 3 0 0 0 | 1 0 3 0 x . . . . x | 4 | 2 0 2 | * 320 * * * | 0 3 1 0 0 0 | 0 3 3 0 0 0 | 0 1 3 0 . . . o3x . | 3 | 0 3 0 | * * 640 * * | 1 0 0 2 0 1 | 2 0 1 1 0 2 | 1 0 2 1 . . . o . x4/3*d | 4 | 0 0 4 | * * * 480 * | 0 1 0 0 2 1 | 0 2 1 0 1 2 | 0 1 2 1 . . . . x4x | 8 | 0 4 4 | * * * * 160 | 0 0 1 0 0 3 | 0 0 3 0 0 3 | 0 0 3 1 -----------------+-----+-------------+---------------------+-----------------------+--------------------+----------- x . . o3x . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 320 * * * * * | 2 0 1 0 0 0 | 1 0 2 0 x . . o . x4/3*d ♦ 8 | 4 0 8 | 0 4 0 2 0 | * 240 * * * * | 0 2 1 0 0 0 | 0 1 2 0 x . . . x4x ♦ 16 | 8 8 8 | 4 4 0 0 2 | * * 80 * * * | 0 0 3 0 0 0 | 0 0 3 0 . . o3o3x . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 320 * * | 1 0 0 1 0 1 | 1 0 1 1 . . o3o . x4/3*d ♦ 8 | 0 0 12 | 0 0 0 6 0 | * * * * 160 * | 0 1 0 0 1 1 | 0 1 1 1 . . . o3x4x4/3*d ♦ 24 | 0 24 24 | 0 0 8 6 6 | * * * * * 80 | 0 0 1 0 0 2 | 0 0 2 1 -----------------+-----+-------------+---------------------+-----------------------+--------------------+----------- x . o3o3x . ♦ 8 | 4 12 0 | 6 0 8 0 0 | 4 0 0 2 0 0 | 160 * * * * * | 1 0 1 0 x . o3o . x4/3*d ♦ 16 | 8 0 24 | 0 12 0 12 0 | 0 6 0 0 2 0 | * 80 * * * * | 0 1 1 0 x . . o3x4x4/3*d ♦ 48 | 24 48 48 | 24 24 16 12 12 | 8 6 6 0 0 2 | * * 40 * * * | 0 0 2 0 . o3o3o3x . ♦ 5 | 0 10 0 | 0 0 10 0 0 | 0 0 0 5 0 0 | * * * 64 * * | 1 0 0 1 . o3o3o . x4/3*d ♦ 16 | 0 0 32 | 0 0 0 24 0 | 0 0 0 0 8 0 | * * * * 20 * | 0 1 0 1 . . o3o3x4x4/3*d ♦ 64 | 0 96 96 | 0 0 64 48 24 | 0 0 0 16 8 8 | * * * * * 20 | 0 0 1 1 -----------------+-----+-------------+---------------------+-----------------------+--------------------+----------- x o3o3o3x . ♦ 10 | 5 20 0 | 10 0 20 0 0 | 10 0 0 10 0 0 | 5 0 0 2 0 0 | 32 * * * x o3o3o . x4/3*d ♦ 32 | 16 0 64 | 0 32 0 48 0 | 0 24 0 0 16 0 | 0 8 0 0 2 0 | * 10 * * x . o3o3x4x4/3*d ♦ 128 | 64 192 192 | 96 96 128 96 48 | 64 48 24 32 16 16 | 16 8 8 0 0 2 | * * 10 * . o3o3o3x4x4/3*d ♦ 160 | 0 320 320 | 0 0 320 240 80 | 0 0 0 160 80 40 | 0 0 0 32 10 10 | * * * 2
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