- general polytopal classes:
- partial Stott expansions
links
| Acronym | ticot |
| Name | truncated icositetrachoric tetracomb |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x4o3o3o (N → ∞) . . . . . | 48N | 1 4 | 4 6 | 6 4 | 4 1 ----------+-----+---------+---------+---------+----- x . . . . | 2 | 24N * ♦ 4 0 | 6 0 | 4 0 . x . . . | 2 | * 96N | 1 3 | 3 3 | 3 1 ----------+-----+---------+---------+---------+----- x3x . . . | 6 | 3 3 | 32N * | 3 0 | 3 0 . x4o . . | 4 | 0 4 | * 72N | 1 2 | 2 1 ----------+-----+---------+---------+---------+----- x3x4o . . ♦ 24 | 12 24 | 8 6 | 12N * | 2 0 . x4o3o . ♦ 8 | 0 12 | 0 6 | * 24N | 1 1 ----------+-----+---------+---------+---------+----- x3x4o3o . ♦ 192 | 96 288 | 96 144 | 24 24 | N * . x4o3o3o ♦ 16 | 0 32 | 0 24 | 0 8 | * 3N snubbed forms: s3s4o3o3o
o3o4x3x3x (N → ∞) . . . . . | 192N | 3 1 1 | 3 3 3 1 | 1 3 3 3 | 1 1 3 ----------+------+--------------+-------------------+-----------------+--------- . . x . . | 2 | 288N * * | 2 1 1 0 | 1 2 2 1 | 1 1 2 . . . x . | 2 | * 96N * ♦ 0 3 0 1 | 0 3 0 3 | 1 0 3 . . . . x | 2 | * * 96N | 0 0 3 1 | 0 0 3 3 | 0 1 3 ----------+------+--------------+-------------------+-----------------+--------- . o4x . . | 4 | 4 0 0 | 144N * * * | 1 1 1 0 | 1 1 1 . . x3x . | 6 | 3 3 0 | * 96N * * | 0 2 0 1 | 1 0 2 . . x . x | 4 | 2 0 2 | * * 144N * | 0 0 2 1 | 0 1 2 . . . x3x | 6 | 0 3 3 | * * * 32N | 0 0 0 3 | 0 0 3 ----------+------+--------------+-------------------+-----------------+--------- o3o4x . . ♦ 8 | 12 0 0 | 6 0 0 0 | 24N * * * | 1 1 0 . o4x3x . ♦ 24 | 24 12 0 | 6 8 0 0 | * 24N * * | 1 0 1 . o4x . x ♦ 8 | 8 0 4 | 2 0 4 0 | * * 72N * | 0 1 1 . . x3x3x ♦ 24 | 12 12 12 | 0 4 6 4 | * * * 24N | 0 0 2 ----------+------+--------------+-------------------+-----------------+--------- o3o4x3x . ♦ 192 | 288 96 0 | 144 96 0 0 | 24 24 0 0 | N * * o3o4x . x ♦ 16 | 24 0 8 | 12 0 12 0 | 2 0 6 0 | * 12N * . o4x3x3x ♦ 192 | 192 96 96 | 48 64 96 32 | 0 8 24 16 | * * 3N snubbed forms: o3o4s3s3s
o4x3x3x4o (N → ∞) . . . . . | 96N | 2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ----------+-----+-------------+---------------------+-------------------+------- . x . . . | 2 | 96N * * | 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x . . | 2 | * 48N * ♦ 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x . | 2 | * * 96N | 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ----------+-----+-------------+---------------------+-------------------+------- o4x . . . | 4 | 4 0 0 | 24N * * * * | 1 2 0 0 0 | 2 1 0 . x3x . . | 6 | 3 3 0 | * 32N * * * | 1 0 2 0 0 | 2 0 1 . x . x . | 4 | 2 0 2 | * * 96N * * | 0 1 1 1 0 | 1 1 1 . . x3x . | 6 | 0 3 3 | * * * 32N * | 0 0 2 0 1 | 1 0 2 . . . x4o | 4 | 0 0 4 | * * * * 24N | 0 0 0 2 1 | 0 1 2 ----------+-----+-------------+---------------------+-------------------+------- o4x3x . . ♦ 24 | 24 12 0 | 6 8 0 0 0 | 4N * * * * | 2 0 0 o4x . x . ♦ 8 | 8 0 4 | 2 0 4 0 0 | * 24N * * * | 1 1 0 . x3x3x . ♦ 24 | 12 12 12 | 0 4 6 4 0 | * * 16N * * | 1 0 1 . x . x4o ♦ 8 | 4 0 8 | 0 0 4 0 2 | * * * 24N * | 0 1 1 . . x3x4o ♦ 24 | 0 12 24 | 0 0 0 8 6 | * * * * 4N | 0 0 2 ----------+-----+-------------+---------------------+-------------------+------- o4x3x3x . ♦ 192 | 192 96 96 | 48 64 96 32 0 | 8 24 16 0 0 | N * * o4x . x4o ♦ 16 | 16 0 16 | 4 0 16 0 4 | 0 4 0 4 0 | * 6N * . x3x3x4o ♦ 192 | 96 96 192 | 0 32 96 64 48 | 0 0 16 24 8 | * * N snubbed forms: o4s3s3s4o
x3x3x *b3x4o (N → ∞) . . . . . | 192N | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 -------------+------+------------------+-----------------------------+---------------------------+----------- x . . . . | 2 | 96N * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . . . | 2 | * 96N * * ♦ 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . | 2 | * * 96N * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x . | 2 | * * * 192N | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 -------------+------+------------------+-----------------------------+---------------------------+----------- x3x . . . | 6 | 3 3 0 0 | 32N * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 48N * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 96N * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 32N * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . *b3x . | 6 | 0 3 0 3 | * * * * 64N * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x x . | 4 | 0 0 2 2 | * * * * * 96N * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x4o | 4 | 0 0 0 4 | * * * * * * 48N | 0 0 0 1 0 1 1 | 0 1 1 1 -------------+------+------------------+-----------------------------+---------------------------+----------- x3x3x . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 | 8N * * * * * * | 2 0 0 0 x3x . *b3x . ♦ 24 | 12 12 0 12 | 4 0 6 0 4 0 0 | * 16N * * * * * | 1 1 0 0 x . x x . ♦ 8 | 4 0 4 4 | 0 2 2 0 0 2 0 | * * 48N * * * * | 1 0 1 0 x . . x4o ♦ 8 | 4 0 0 8 | 0 0 4 0 0 0 2 | * * * 24N * * * | 0 1 1 0 . x3x *b3x . ♦ 24 | 0 12 12 12 | 0 0 0 4 4 6 0 | * * * * 16N * * | 1 0 0 1 . x . *b3x4o ♦ 24 | 0 12 0 24 | 0 0 0 0 8 0 6 | * * * * * 8N * | 0 1 0 1 . . x x4o ♦ 8 | 0 0 4 8 | 0 0 0 0 0 4 2 | * * * * * * 24N | 0 0 1 1 -------------+------+------------------+-----------------------------+---------------------------+----------- x3x3x *b3x . ♦ 192 | 96 96 96 96 | 32 48 48 32 32 48 0 | 8 8 24 0 8 0 0 | 2N * * * x3x . *b3x4o ♦ 192 | 96 96 0 192 | 32 0 96 0 64 0 48 | 0 16 0 24 0 8 0 | * N * * x . x x4o ♦ 16 | 8 0 8 16 | 0 4 8 0 0 8 4 | 0 0 4 2 0 0 2 | * * 12N * . x3x *b3x4o ♦ 192 | 0 96 96 192 | 0 0 0 32 64 96 48 | 0 0 0 0 16 8 24 | * * * N snubbed forms: s3s3s *b3s4o
x3x3x *b3x *b3x (N → ∞) . . . . . | 192N | 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 ----------------+------+---------------------+-----------------------------------------+-----------------------------------+------------ x . . . . | 2 | 96N * * * * | 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 . x . . . | 2 | * 96N * * * ♦ 1 0 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . . x . . | 2 | * * 96N * * | 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 96N * | 0 0 1 0 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . . . . x | 2 | * * * * 96N | 0 0 0 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------------+------+---------------------+-----------------------------------------+-----------------------------------+------------ x3x . . . | 6 | 3 3 0 0 0 | 32N * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 0 2 0 0 | * 48N * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 0 | * * 48N * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x | 4 | 2 0 0 0 2 | * * * 48N * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 0 | * * * * 32N * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . *b3x . | 6 | 0 3 0 3 0 | * * * * * 32N * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . *b3x | 6 | 0 3 0 0 3 | * * * * * * 32N * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x x . | 4 | 0 0 2 2 0 | * * * * * * * 48N * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 0 2 | * * * * * * * * 48N * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x x | 4 | 0 0 0 2 2 | * * * * * * * * * 48N | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------------+------+---------------------+-----------------------------------------+-----------------------------------+------------ x3x3x . . ♦ 24 | 12 12 12 0 0 | 4 6 0 0 4 0 0 0 0 0 | 8N * * * * * * * * * | 1 1 0 0 0 x3x . *b3x . ♦ 24 | 12 12 0 12 0 | 4 0 6 0 0 4 0 0 0 0 | * 8N * * * * * * * * | 1 0 1 0 0 x3x . . *b3x ♦ 24 | 12 12 0 0 12 | 4 0 0 6 0 0 4 0 0 0 | * * 8N * * * * * * * | 0 1 1 0 0 x . x x . ♦ 8 | 4 0 4 4 0 | 0 2 2 0 0 0 0 2 0 0 | * * * 24N * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 0 4 | 0 2 0 2 0 0 0 0 2 0 | * * * * 24N * * * * * | 0 1 0 1 0 x . . x x ♦ 8 | 4 0 0 4 4 | 0 0 2 2 0 0 0 0 0 2 | * * * * * 24N * * * * | 0 0 1 1 0 . x3x *b3x . ♦ 24 | 0 12 12 12 0 | 0 0 0 0 4 4 0 6 0 0 | * * * * * * 8N * * * | 1 0 0 0 1 . x3x . *b3x ♦ 24 | 0 12 12 0 12 | 0 0 0 0 4 0 4 0 6 0 | * * * * * * * 8N * * | 0 1 0 0 1 . x . *b3x *b3x ♦ 24 | 0 12 0 12 12 | 0 0 0 0 0 4 4 0 0 6 | * * * * * * * * 8N * | 0 0 1 0 1 . . x x x ♦ 8 | 0 0 4 4 4 | 0 0 0 0 0 0 0 2 2 2 | * * * * * * * * * 24N | 0 0 0 1 1 ----------------+------+---------------------+-----------------------------------------+-----------------------------------+------------ x3x3x *b3x . ♦ 192 | 96 96 96 96 0 | 32 48 48 0 32 32 0 48 0 0 | 8 8 0 24 0 0 8 0 0 0 | N * * * * x3x3x . *b3x ♦ 192 | 96 96 96 0 96 | 32 48 0 48 32 0 32 0 48 0 | 8 0 8 0 24 0 0 8 0 0 | * N * * * x3x . *b3x *b3x ♦ 192 | 96 96 0 96 96 | 32 0 48 48 0 32 32 0 0 48 | 0 8 8 0 0 24 0 0 8 0 | * * N * * x . x x x ♦ 16 | 8 0 8 8 8 | 0 4 4 4 0 0 0 4 4 4 | 0 0 0 2 2 2 0 0 0 2 | * * * 12N * . x3x *b3x *b3x ♦ 192 | 0 96 96 96 96 | 0 0 0 0 32 32 32 48 48 48 | 0 0 0 0 0 0 8 8 8 24 | * * * * N snubbed forms: s3s3s *b3s *b3s
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