great disicositetrachoric tetracomb,
stericantellated icositetrachoric tetracomb
- general polytopal classes:
- partial Stott expansions
links
| Acronym | caricot (old: scaricot) |
| Name |
(small) cellirhombated icositetrachoric tetracomb, great disicositetrachoric tetracomb, stericantellated icositetrachoric tetracomb |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3x4o3x (N → ∞) . . . . . | 288N | 2 4 2 | 1 4 4 2 2 4 1 | 2 2 2 4 2 1 2 2 | 1 2 1 2 1 ----------+------+----------------+----------------------------------+----------------------------------+----------------- x . . . . | 2 | 288N * * | 1 2 2 0 0 0 0 | 2 2 1 2 1 0 0 0 | 1 2 1 1 0 . . x . . | 2 | * 576N * | 0 1 0 1 1 1 0 | 1 0 1 1 0 1 1 1 | 1 1 0 1 1 . . . . x | 2 | * * 288N | 0 0 2 0 0 2 1 | 0 1 0 2 2 0 1 2 | 0 1 1 2 1 ----------+------+----------------+----------------------------------+----------------------------------+----------------- x3o . . . | 3 | 3 0 0 | 96N * * * * * * | 2 2 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 2 0 | * 288N * * * * * | 1 0 1 1 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 2 | * * 288N * * * * | 0 1 0 1 1 0 0 0 | 0 1 1 1 0 . o3x . . | 3 | 0 3 0 | * * * 192N * * * | 1 0 0 0 0 1 1 0 | 1 1 0 0 1 . . x4o . | 4 | 0 4 0 | * * * * 144N * * | 0 0 1 0 0 1 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 2 2 | * * * * * 288N * | 0 0 0 1 0 0 1 1 | 0 1 0 1 1 . . . o3x | 3 | 0 0 3 | * * * * * * 96N | 0 0 0 0 2 0 0 2 | 0 0 1 2 1 ----------+------+----------------+----------------------------------+----------------------------------+----------------- x3o3x . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 0 | 48N * * * * * * * | 1 1 0 0 0 x3o . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 0 0 | * 96N * * * * * * | 0 1 1 0 0 x . x4o . ♦ 8 | 4 8 0 | 0 4 0 0 2 0 0 | * * 72N * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 4 4 | 0 2 2 0 0 2 0 | * * * 144N * * * * | 0 1 0 1 0 x . . o3x ♦ 6 | 3 0 6 | 0 0 3 0 0 0 2 | * * * * 96N * * * | 0 0 1 1 0 . o3x4o . ♦ 12 | 0 24 0 | 0 0 0 8 6 0 0 | * * * * * 24N * * | 1 0 0 0 1 . o3x . x ♦ 6 | 0 6 3 | 0 0 0 2 0 3 0 | * * * * * * 96N * | 0 1 0 0 1 . . x4o3x ♦ 24 | 0 24 24 | 0 0 0 0 6 12 8 | * * * * * * * 24N | 0 0 0 1 1 ----------+------+----------------+----------------------------------+----------------------------------+----------------- x3o3x4o . ♦ 96 | 96 192 0 | 32 96 0 64 48 0 0 | 16 0 24 0 0 8 0 0 | 3N * * * * x3o3x . x ♦ 24 | 24 24 12 | 8 12 12 8 0 12 0 | 2 4 0 6 0 0 4 0 | * 24N * * * x3o . o3x ♦ 9 | 9 0 9 | 3 0 9 0 0 0 3 | 0 3 0 0 3 0 0 0 | * * 32N * * x . x4o3x ♦ 48 | 24 48 48 | 0 24 24 0 12 24 16 | 0 0 6 12 8 0 0 2 | * * * 12N * . o3x4o3x ♦ 288 | 0 576 288 | 0 0 0 192 144 288 96 | 0 0 0 0 0 24 96 24 | * * * * N
x3o3x4s3s
demi( . . . . . ) | 288N | 2 2 2 2 | 1 2 1 2 1 2 4 1 4 | 1 2 2 1 2 1 2 4 2 | 1 1 2 1 2
------------------+------+---------------------+------------------------------------------+--------------------------------------+-----------------
demi( x . . . . ) | 2 | 288N * * * | 1 1 0 0 0 1 2 0 0 | 1 1 1 0 0 1 2 2 0 | 1 1 1 0 2
demi( . . x . . ) | 2 | * 288N * * | 0 1 1 1 0 0 0 0 1 | 1 1 0 1 1 0 0 1 1 | 1 0 1 1 1
sefa( . . x4s . ) | 2 | * * 288N * | 0 0 0 1 0 1 0 1 1 | 0 1 0 1 1 1 0 1 1 | 1 0 1 1 1
sefa( . . . s3s ) | 2 | * * * 288N | 0 0 0 0 1 0 2 0 2 | 0 0 2 0 2 0 1 2 1 | 0 1 2 1 1
------------------+------+---------------------+------------------------------------------+--------------------------------------+-----------------
demi( x3o . . . ) | 3 | 3 0 0 0 | 96N * * * * * * * * | 1 0 0 0 0 1 2 0 0 | 1 1 0 0 2
demi( x . x . . ) | 4 | 2 2 0 0 | * 144N * * * * * * * | 1 1 0 0 0 0 0 1 0 | 1 0 1 0 1
demi( . o3x . . ) | 3 | 0 3 0 0 | * * 96N * * * * * * | 1 0 0 1 0 0 0 0 1 | 1 0 0 1 1
. . x4s . | 4 | 0 2 2 0 | * * * 144N * * * * * | 0 1 0 1 1 0 0 0 0 | 1 0 1 1 0
. . . s3s | 3 | 0 0 0 3 | * * * * 96N * * * * | 0 0 2 0 2 0 0 0 0 | 0 1 2 1 0
sefa( x 2 x4s . ) | 4 | 2 0 2 0 | * * * * * 144N * * * | 0 1 0 0 0 1 0 1 0 | 1 0 1 0 1
sefa( x . 2 s3s ) | 4 | 2 0 0 2 | * * * * * * 288N * * | 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1
sefa( . o3x4s . ) | 3 | 0 0 3 0 | * * * * * * * 96N * | 0 0 0 1 0 1 0 0 1 | 1 0 0 1 1
sefa( . . x4s3s ) | 4 | 0 1 1 2 | * * * * * * * * 288N | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
------------------+------+---------------------+------------------------------------------+--------------------------------------+-----------------
demi( x3o3x . . ) ♦ 12 | 12 12 0 0 | 4 6 4 0 0 0 0 0 0 | 24N * * * * * * * * | 1 0 0 0 1
x 2 x4s . ♦ 8 | 4 4 4 0 | 0 2 0 2 0 2 0 0 0 | * 72N * * * * * * * | 1 0 1 0 0
x . 2 s3s ♦ 6 | 3 0 0 6 | 0 0 0 0 2 0 3 0 0 | * * 96N * * * * * * | 0 1 1 0 0
. o3x4s . ♦ 12 | 0 12 12 0 | 0 0 4 6 0 0 0 4 0 | * * * 24N * * * * * | 1 0 0 1 0
. . x4s3s ♦ 24 | 0 12 12 24 | 0 0 0 6 8 0 0 0 12 | * * * * 24N * * * * | 0 0 1 1 0
sefa( x3o3x4s . ) ♦ 12 | 12 0 12 0 | 4 0 0 0 0 6 0 4 0 | * * * * * 24N * * * | 1 0 0 0 1
sefa( x3o 2 s3s ) ♦ 6 | 6 0 0 3 | 2 0 0 0 0 0 3 0 0 | * * * * * * 96N * * | 0 1 0 0 1
sefa( x 2 x4s3s ) ♦ 8 | 4 2 2 4 | 0 1 0 0 0 1 2 0 2 | * * * * * * * 144N * | 0 0 1 0 1
sefa( . o3x4s3s ) ♦ 6 | 0 3 3 3 | 0 0 1 0 0 0 0 1 3 | * * * * * * * * 96N | 0 0 0 1 1
------------------+------+---------------------+------------------------------------------+--------------------------------------+-----------------
x3o3x4s . ♦ 96 | 96 96 96 0 | 32 48 32 48 0 48 0 32 0 | 8 24 0 8 0 8 0 0 0 | 3N * * * *
x3o 2 s3s ♦ 9 | 9 0 0 9 | 3 0 0 0 3 0 9 0 0 | 0 0 3 0 0 0 3 0 0 | * 32N * * *
x 2 x4s3s ♦ 48 | 24 24 24 48 | 0 12 0 12 16 12 24 0 24 | 0 6 8 0 2 0 0 12 0 | * * 12N * *
. o3x4s3s ♦ 288 | 0 288 288 288 | 0 0 96 144 96 0 0 96 288 | 0 0 0 24 24 0 0 0 96 | * * * N *
sefa( x3o3x4s3s ) ♦ 24 | 24 12 12 12 | 8 6 4 0 0 6 12 4 12 | 1 0 0 0 0 1 4 6 4 | * * * * 24N
starting figure: x3o3x4x3x
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