hyperbolic Gosset pentacomb 01,1,1,1,1
- general polytopal classes:
- noble polytopes Coxeter-Elte-Gosset polytopes
links
| Acronym | ... |
| Name |
hyperbolic order 3 icositetrachoric-tetracomb pentacomb, hyperbolic Gosset pentacomb 01,1,1,1,1 |
| Circumradius | 1 i |
| Dual | x3o3o3o4o3o |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3o3o3o4o3x (N,M → ∞) . . . . . . | 3NM ♦ 32 | 80 | 80 | 40 | 10 ------------+-----+------+------+------+-----+---- . . . . . x | 2 | 48NM ♦ 5 | 10 | 10 | 5 ------------+-----+------+------+------+-----+---- . . . . o3x | 3 | 3 | 80NM ♦ 4 | 6 | 4 ------------+-----+------+------+------+-----+---- . . . o4o3x ♦ 6 | 12 | 8 | 40NM | 3 | 3 ------------+-----+------+------+------+-----+---- . . o3o4o3x ♦ 24 | 96 | 96 | 24 | 5NM | 2 ------------+-----+------+------+------+-----+---- . o3o3o4o3x ♦ 3M | 24M | 32M | 12M | M | 10N
o3x3o4o3o3o (N,M,K → ∞) . . . . . . | 15NMK ♦ 32 | 16 64 | 32 48 | 24 16 | 8 2 ------------+-------+--------+--------------+--------------+-------------+---------- . x . . . . | 2 | 240NMK ♦ 1 4 | 4 6 | 6 4 | 4 1 ------------+-------+--------+--------------+--------------+-------------+---------- o3x . . . . | 3 | 3 | 80NMK * ♦ 4 0 | 6 0 | 4 0 . x3o . . . | 3 | 3 | * 320NMK ♦ 1 3 | 3 3 | 3 1 ------------+-------+--------+--------------+--------------+-------------+---------- o3x3o . . . ♦ 6 | 12 | 4 4 | 80NMK * | 3 0 | 3 0 . x3o4o . . ♦ 6 | 12 | 0 8 | * 120NMK | 1 2 | 2 1 ------------+-------+--------+--------------+--------------+-------------+---------- o3x3o4o . . ♦ 24 | 96 | 32 64 | 16 8 | 15NMK * | 2 0 . x3o4o3o . ♦ 24 | 96 | 0 96 | 0 24 | * 10NMK | 1 1 ------------+-------+--------+--------------+--------------+-------------+---------- o3x3o4o3o . ♦ 12M | 96M | 32M 96M | 24M 24M | 3M M | 10NK * . x3o4o3o3o ♦ 3K | 24K | 0 32K | 0 12K | 0 K | * 10NM
o3o4o3x3o4o (N,M,K → ∞) . . . . . . | 6NMK ♦ 32 | 48 32 | 24 48 8 | 4 24 12 | 4 6 ------------+------+-------+-------------+------------------+---------------+-------- . . . x . . | 2 | 96NMK ♦ 3 2 | 3 6 1 | 1 6 3 | 2 3 ------------+------+-------+-------------+------------------+---------------+-------- . . o3x . . | 3 | 3 | 96NMK * ♦ 2 2 0 | 1 4 1 | 2 2 . . . x3o . | 3 | 3 | * 64NMK ♦ 0 3 1 | 0 3 3 | 1 3 ------------+------+-------+-------------+------------------+---------------+-------- . o4o3x . . ♦ 6 | 12 | 8 0 | 24NMK * * | 1 2 0 | 2 1 . . o3x3o . ♦ 6 | 12 | 4 4 | * 48NMK * | 0 2 1 | 1 2 . . . x3o4o ♦ 6 | 12 | 0 8 | * * 8NMK | 0 0 3 | 0 3 ------------+------+-------+-------------+------------------+---------------+-------- o3o4o3x . . ♦ 24 | 96 | 96 0 | 24 0 0 | NMK * * | 2 0 . o4o3x3o . ♦ 24 | 96 | 64 32 | 8 16 0 | * 6NMK * | 1 1 . . o3x3o4o ♦ 24 | 96 | 32 64 | 0 16 8 | * * 3NMK | 0 2 ------------+------+-------+-------------+------------------+---------------+-------- o3o4o3x3o . ♦ 12M | 96M | 96M 32M | 24M 24M 0 | M 3M 0 | 2NK * . o4o3x3o3o ♦ 6K | 48K | 32K 32K | 4K 16K 4K | 0 K K | * 6NM
o4o3x3o4o *c3o (N,M,K,L → ∞) . . . . . . | 6NMKL ♦ 32 | 32 32 16 | 8 32 16 8 16 | 8 4 8 16 4 | 2 4 4 ---------------+-------+--------+----------------------+----------------------------------+-----------------------------+--------------- . . x . . . | 2 | 96NMKL ♦ 2 2 1 | 1 4 2 1 2 | 2 1 2 4 1 | 1 2 2 ---------------+-------+--------+----------------------+----------------------------------+-----------------------------+--------------- . o3x . . . | 3 | 3 | 64NMKL * * ♦ 1 2 1 0 0 | 2 1 1 2 0 | 1 2 1 . . x3o . . | 3 | 3 | * 64NMKL * ♦ 0 2 0 1 1 | 1 0 2 2 1 | 1 1 2 . . x . . *c3o | 3 | 3 | * * 32NMKL ♦ 0 0 2 0 2 | 0 1 0 4 1 | 0 2 2 ---------------+-------+--------+----------------------+----------------------------------+-----------------------------+--------------- o4o3x . . . ♦ 6 | 12 | 8 0 0 | 8NMKL * * * * | 2 1 0 0 0 | 1 2 0 . o3x3o . . ♦ 6 | 12 | 4 4 0 | * 32NMKL * * * | 1 0 1 1 0 | 1 1 1 . o3x . . *c3o ♦ 6 | 12 | 4 0 4 | * * 16NMKL * * | 0 1 0 2 0 | 0 2 1 . . x3o4o . ♦ 6 | 12 | 0 8 0 | * * * 8NMKL * | 0 0 2 0 1 | 1 0 2 . . x3o . *c3o ♦ 6 | 12 | 0 4 4 | * * * * 16NMKL | 0 0 0 2 1 | 0 1 2 ---------------+-------+--------+----------------------+----------------------------------+-----------------------------+--------------- o4o3x3o . . ♦ 24 | 96 | 64 32 0 | 8 16 0 0 0 | 2NMKL * * * * | 1 1 0 o4o3x . . *c3o ♦ 24 | 96 | 64 0 32 | 8 0 16 0 0 | * NMKL * * * | 0 2 0 . o3x3o4o . ♦ 24 | 96 | 32 64 0 | 0 16 0 8 0 | * * 2NMKL * * | 1 0 1 . o3x3o . *c3o ♦ 24 | 96 | 32 32 32 | 0 8 8 0 8 | * * * 4NMKL * | 0 1 1 . . x3o4o *c3o ♦ 24 | 96 | 0 64 32 | 0 0 0 8 16 | * * * * NMKL | 0 0 2 ---------------+-------+--------+----------------------+----------------------------------+-----------------------------+--------------- o4o3x3o4o . ♦ 6M | 48M | 32M 32M 0 | 4M 16M 0 4M 0 | M 0 M 0 0 | 2NKL * * o4o3x3o . *c3o ♦ 12K | 96K | 64K 32K 32K | 8K 16K 16K 0 8K | K K 0 2K 0 | * 2NML * . o3x3o4o *c3o ♦ 12L | 96L | 32L 64L 32L | 0 16L 8L 8L 16L | 0 0 L 2L L | * * 2NMK
o3x3o *b3o *b3o *b3o (N,M,K,L,P,Q → ∞) . . . . . . | 6NMKLPQ ♦ 32 | 16 16 16 16 16 | 8 8 8 8 8 8 8 8 8 8 | 4 4 4 4 4 4 4 4 4 4 | 2 2 2 2 2 ---------------------+---------+----------+----------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------------+------------------------------ . x . . . . | 2 | 96NMKLPQ ♦ 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 ---------------------+---------+----------+----------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------------+------------------------------ o3x . . . . | 3 | 3 | 32NMKLPQ * * * * ♦ 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 . x3o . . . | 3 | 3 | * 32NMKLPQ * * * ♦ 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 . *b3o . . | 3 | 3 | * * 32NMKLPQ * * ♦ 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 . . *b3o . | 3 | 3 | * * * 32NMKLPQ * ♦ 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 . . . *b3o | 3 | 3 | * * * * 32NMKLPQ ♦ 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 ---------------------+---------+----------+----------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------------+------------------------------ o3x3o . . . ♦ 6 | 12 | 4 4 0 0 0 | 8NMKLPQ * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 o3x . *b3o . . ♦ 6 | 12 | 4 0 4 0 0 | * 8NMKLPQ * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 o3x . . *b3o . ♦ 6 | 12 | 4 0 0 4 0 | * * 8NMKLPQ * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 o3x . . . *b3o ♦ 6 | 12 | 4 0 0 0 4 | * * * 8NMKLPQ * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3o *b3o . . ♦ 6 | 12 | 0 4 4 0 0 | * * * * 8NMKLPQ * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x3o . *b3o . ♦ 6 | 12 | 0 4 0 4 0 | * * * * * 8NMKLPQ * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x3o . . *b3o ♦ 6 | 12 | 0 4 0 0 4 | * * * * * * 8NMKLPQ * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . x . *b3o *b3o . ♦ 6 | 12 | 0 0 4 4 0 | * * * * * * * 8NMKLPQ * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . x . *b3o . *b3o ♦ 6 | 12 | 0 0 4 0 4 | * * * * * * * * 8NMKLPQ * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . x . . *b3o *b3o ♦ 6 | 12 | 0 0 0 4 4 | * * * * * * * * * 8NMKLPQ | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------------+---------+----------+----------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------------+------------------------------ o3x3o *b3o . . ♦ 24 | 96 | 32 32 32 0 0 | 8 8 0 0 8 0 0 0 0 0 | NMKLPQ * * * * * * * * * | 1 1 0 0 0 o3x3o . *b3o . ♦ 24 | 96 | 32 32 0 32 0 | 8 0 8 0 0 8 0 0 0 0 | * NMKLPQ * * * * * * * * | 1 0 1 0 0 o3x3o . . *b3o ♦ 24 | 96 | 32 32 0 0 32 | 8 0 0 8 0 0 8 0 0 0 | * * NMKLPQ * * * * * * * | 0 1 1 0 0 o3x . *b3o *b3o . ♦ 24 | 96 | 32 0 32 32 0 | 0 8 8 0 0 0 0 8 0 0 | * * * NMKLPQ * * * * * * | 1 0 0 1 0 o3x . *b3o . *b3o ♦ 24 | 96 | 32 0 32 0 32 | 0 8 0 8 0 0 0 0 8 0 | * * * * NMKLPQ * * * * * | 0 1 0 1 0 o3x . . *b3o *b3o ♦ 24 | 96 | 32 0 0 32 32 | 0 0 8 8 0 0 0 0 0 8 | * * * * * NMKLPQ * * * * | 0 0 1 1 0 . x3o *b3o *b3o . ♦ 24 | 96 | 0 32 32 32 0 | 0 0 0 0 8 8 0 8 0 0 | * * * * * * NMKLPQ * * * | 1 0 0 0 1 . x3o *b3o . *b3o ♦ 24 | 96 | 0 32 32 0 32 | 0 0 0 0 8 0 8 0 8 0 | * * * * * * * NMKLPQ * * | 0 1 0 0 1 . x3o . *b3o *b3o ♦ 24 | 96 | 0 32 0 32 32 | 0 0 0 0 0 8 8 0 0 8 | * * * * * * * * NMKLPQ * | 0 0 1 0 1 . x . *b3o *b3o *b3o ♦ 24 | 96 | 0 0 32 32 32 | 0 0 0 0 0 0 0 8 8 8 | * * * * * * * * * NMKLPQ | 0 0 0 1 1 ---------------------+---------+----------+----------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------------+------------------------------ o3x3o *b3o *b3o . ♦ 12M | 96M | 32M 32M 32M 32M 0 | 8M 8M 8M 0 8M 8M 0 8M 0 0 | M M 0 M 0 0 M 0 0 0 | NKLPQ * * * * o3x3o *b3o . *b3o ♦ 12K | 96K | 32K 32K 32K 0 32K | 8K 8K 0 8K 8K 0 8K 0 8K 0 | K 0 K 0 K 0 0 K 0 0 | * NMLPQ * * * o3x3o . *b3o *b3o ♦ 12L | 96L | 32L 32L 0 32L 32L | 8L 0 8L 8L 0 8L 8L 0 0 8L | 0 L L 0 0 L 0 0 L 0 | * * NMKPQ * * o3x . *b3o *b3o *b3o ♦ 12P | 96P | 32P 0 32P 32P 32P | 0 8P 8P 8P 0 0 0 8P 8P 8P | 0 0 0 P P P 0 0 0 P | * * * NMKLQ * . x3o *b3o *b3o *b3o ♦ 12Q | 96Q | 0 32Q 32Q 32Q 32Q | 0 0 0 0 8Q 8Q 8Q 8Q 8Q 8Q | 0 0 0 0 0 0 Q Q Q Q | * * * * NMKLP
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