(great cellirhombated icositetrachoric tetracomb),
stericantitruncated hexadecachoric tetracomb
- general polytopal classes:
- partial Stott expansions
links
| Acronym | cagoraht (old: gicaricot) |
| Name |
celligreatorhombated hexadecachoric tetracomb (great cellirhombated icositetrachoric tetracomb), stericantitruncated hexadecachoric tetracomb |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x3x4o3x (N → ∞) . . . . . | 576N | 1 1 2 2 | 1 2 2 2 2 1 2 1 | 2 2 1 2 1 1 2 1 1 | 1 2 1 1 1 ----------+------+---------------------+----------------------------------------+--------------------------------------+----------------- x . . . . | 2 | 288N * * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 . x . . . | 2 | * 288N * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 576N * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . . x | 2 | * * * 576N | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+------+---------------------+----------------------------------------+--------------------------------------+----------------- x3x . . . | 6 | 3 3 0 0 | 96N * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 288N * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 0 2 | * * 288N * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 192N * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 288N * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x4o . | 4 | 0 0 4 0 | * * * * * 144N * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 2 | * * * * * * 288N * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o3x | 3 | 0 0 0 3 | * * * * * * * 192N | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+------+---------------------+----------------------------------------+--------------------------------------+----------------- x3x3x . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 0 | 48N * * * * * * * * | 1 1 0 0 0 x3x . . x ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 0 | * 96N * * * * * * * | 0 1 1 0 0 x . x4o . ♦ 8 | 4 0 8 0 | 0 4 0 0 0 2 0 0 | * * 72N * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 144N * * * * * | 0 1 0 1 0 x . . o3x ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 2 | * * * * 96N * * * * | 0 0 1 1 0 . x3x4o . ♦ 24 | 0 12 24 0 | 0 0 0 8 0 6 0 0 | * * * * * 24N * * * | 1 0 0 0 1 . x3x . x ♦ 12 | 0 6 6 6 | 0 0 0 2 3 0 3 0 | * * * * * * 96N * * | 0 1 0 0 1 . x . o3x ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 0 2 | * * * * * * * 96N * | 0 0 1 0 1 . . x4o3x ♦ 24 | 0 0 24 24 | 0 0 0 0 0 6 12 8 | * * * * * * * * 24N | 0 0 0 1 1 ----------+------+---------------------+----------------------------------------+--------------------------------------+----------------- x3x3x4o . ♦ 192 | 96 96 192 0 | 32 96 0 64 0 48 0 0 | 16 0 24 0 0 8 0 0 0 | 3N * * * * x3x3x . x ♦ 48 | 24 24 24 24 | 8 12 12 8 12 0 12 0 | 2 4 0 6 0 0 4 0 0 | * 24N * * * x3x . o3x ♦ 18 | 9 9 0 18 | 3 0 9 0 9 0 0 6 | 0 3 0 0 3 0 0 3 0 | * * 32N * * x . x4o3x ♦ 48 | 24 0 48 48 | 0 24 24 0 0 12 24 16 | 0 0 6 12 8 0 0 0 2 | * * * 12N * . x3x4o3x ♦ 576 | 0 288 576 576 | 0 0 0 192 288 144 288 192 | 0 0 0 0 0 24 96 96 24 | * * * * N snubbed forms: s3s3s4o3x
x3x3x4s3s
demi( . . . . . ) | 576N | 1 1 1 1 2 | 1 1 1 1 1 1 2 1 2 2 | 1 1 1 1 1 1 1 2 2 2 | 1 1 1 1 2
------------------+------+--------------------------+------------------------------------------------+------------------------------------------+-----------------
demi( x . . . . ) | 2 | 288N * * * * | 1 1 0 0 0 1 2 0 0 0 | 1 1 1 0 0 0 1 2 2 0 | 1 1 1 0 2
demi( . x . . . ) | 2 | * 288N * * * | 1 0 1 0 0 0 0 1 2 0 | 1 0 0 1 1 0 1 2 0 2 | 1 1 0 1 2
demi( . . x . . ) | 2 | * * 288N * * | 0 1 1 1 0 0 0 0 0 1 | 1 1 0 1 0 1 0 0 1 1 | 1 0 1 1 1
sefa( . . x4s . ) | 2 | * * * 288N * | 0 0 0 1 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1
sefa( . . . s3s ) | 2 | * * * * 576N | 0 0 0 0 1 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
------------------+------+--------------------------+------------------------------------------------+------------------------------------------+-----------------
demi( x3x . . . ) | 6 | 3 3 0 0 0 | 96N * * * * * * * * * | 1 0 0 0 0 0 1 2 0 0 | 1 1 0 0 2
demi( x . x . . ) | 4 | 2 0 2 0 0 | * 144N * * * * * * * * | 1 1 0 0 0 0 0 0 1 0 | 1 0 1 0 1
demi( . x3x . . ) | 6 | 0 3 3 0 0 | * * 96N * * * * * * * | 1 0 0 1 0 0 0 0 0 1 | 1 0 0 1 1
. . x4s . | 4 | 0 0 2 2 0 | * * * 144N * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
. . . s3s | 3 | 0 0 0 0 3 | * * * * 192N * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
sefa( x 2 x4s . ) | 4 | 2 0 0 2 0 | * * * * * 144N * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
sefa( x . 2 s3s ) | 4 | 2 0 0 0 2 | * * * * * * 288N * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
sefa( . x3x4s . ) | 6 | 0 3 0 3 0 | * * * * * * * 96N * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
sefa( . x 2 s3s ) | 4 | 0 2 0 0 2 | * * * * * * * * 288N * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
sefa( . . x4s3s ) | 4 | 0 0 1 1 2 | * * * * * * * * * 288N | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
------------------+------+--------------------------+------------------------------------------------+------------------------------------------+-----------------
demi( x3x3x . . ) ♦ 24 | 12 12 12 0 0 | 4 6 4 0 0 0 0 0 0 0 | 24N * * * * * * * * * | 1 0 0 0 1
x 2 x4s . ♦ 8 | 4 0 4 4 0 | 0 2 0 2 0 2 0 0 0 0 | * 72N * * * * * * * * | 1 0 1 0 0
x . 2 s3s ♦ 6 | 3 0 0 0 6 | 0 0 0 0 2 0 3 0 0 0 | * * 96N * * * * * * * | 0 1 1 0 0
. x3x4s . ♦ 24 | 0 12 12 12 0 | 0 0 4 6 0 0 0 4 0 0 | * * * 24N * * * * * * | 1 0 0 1 0
. x 2 s3s ♦ 6 | 0 3 0 0 6 | 0 0 0 0 2 0 0 0 3 0 | * * * * 96N * * * * * | 0 1 0 1 0
. . x4s3s ♦ 24 | 0 0 12 12 24 | 0 0 0 6 8 0 0 0 0 12 | * * * * * 24N * * * * | 0 0 1 1 0
sefa( x3x3x4s . ) ♦ 24 | 12 12 0 12 0 | 4 0 0 0 0 6 0 4 0 0 | * * * * * * 24N * * * | 1 0 0 0 1
sefa( x3x 2 s3s ) ♦ 12 | 6 6 0 0 6 | 2 0 0 0 0 0 3 0 3 0 | * * * * * * * 96N * * | 0 1 0 0 1
sefa( x 2 x4s3s ) ♦ 8 | 4 0 2 2 4 | 0 1 0 0 0 1 2 0 0 2 | * * * * * * * * 144N * | 0 0 1 0 1
sefa( . x3x4s3s ) ♦ 12 | 0 6 3 3 6 | 0 0 1 0 0 0 0 1 3 3 | * * * * * * * * * 96N | 0 0 0 1 1
------------------+------+--------------------------+------------------------------------------------+------------------------------------------+-----------------
x3x3x4s . ♦ 192 | 96 96 96 96 0 | 32 48 32 48 0 48 0 32 0 0 | 8 24 0 8 0 0 8 0 0 0 | 3N * * * *
x3x 2 s3s ♦ 18 | 9 9 0 0 18 | 3 0 0 0 6 0 9 0 9 0 | 0 0 3 0 3 0 0 3 0 0 | * 32N * * *
x 2 x4s3s ♦ 48 | 24 0 24 24 48 | 0 12 0 12 16 12 24 0 0 24 | 0 6 8 0 0 2 0 0 12 0 | * * 12N * *
. x3x4s3s ♦ 576 | 0 288 288 288 576 | 0 0 96 144 192 0 0 96 288 288 | 0 0 0 24 96 24 0 0 0 96 | * * * N *
sefa( x3x3x4s3s ) ♦ 48 | 24 24 12 12 24 | 8 6 4 0 0 6 12 4 12 12 | 1 0 0 0 0 0 1 4 6 4 | * * * * 24N
starting figure: x3x3x4x3x
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