| Acronym | ..., 31,1,1 |
| Name |
hyperbolic (order 3) hexacontitetrapetic hexacomb, hyperbolic Gosset hexacomb 31,1,1 |
| Circumradius | 1/2 = 0.5 |
| Dual | o3o3o3o3o4o3x |
| Confer |
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Incidence matrix according to Dynkin symbol
x3o3o3o3o4o3o (N,M,K → ∞) . . . . . . . | 12N ♦ 10M | 5MK | 40MK | 80MK | 48MK | 3MK --------------+-----+------+-------+--------+--------+-------+----- x . . . . . . | 2 | 60NM ♦ K | 12K | 32K | 24K | 3K --------------+-----+------+-------+--------+--------+-------+----- x3o . . . . . | 3 | 3 | 20NMK ♦ 24 | 96 | 96 | 24 --------------+-----+------+-------+--------+--------+-------+----- x3o3o . . . . ♦ 4 | 6 | 4 | 120NMK ♦ 8 | 12 | 6 --------------+-----+------+-------+--------+--------+-------+----- x3o3o3o . . . ♦ 5 | 10 | 10 | 5 | 192NMK | 3 | 3 --------------+-----+------+-------+--------+--------+-------+----- x3o3o3o3o . . ♦ 6 | 15 | 20 | 15 | 6 | 96NMK | 2 --------------+-----+------+-------+--------+--------+-------+----- x3o3o3o3o4o . ♦ 12 | 60 | 160 | 240 | 192 | 64 | 3NMK
o3o3o3o3x *b3o *b3o (N,M,K → ∞) . . . . . . . | 12N ♦ 10M | 5MK | 40MK | 80MK | 16MK 16MK 16MK | MK MK MK --------------------+-----+------+-------+--------+--------+-------------------+------------ . . . . x . . | 2 | 60NM ♦ K | 12K | 32K | 8K 8K 8K | K K K --------------------+-----+------+-------+--------+--------+-------------------+------------ . . . o3x . . | 3 | 3 | 20NMK ♦ 24 | 96 | 32 32 32 | 8 8 8 --------------------+-----+------+-------+--------+--------+-------------------+------------ . . o3o3x . . ♦ 4 | 6 | 4 | 120NMK ♦ 8 | 4 4 4 | 2 2 2 --------------------+-----+------+-------+--------+--------+-------------------+------------ . o3o3o3x . . ♦ 5 | 10 | 10 | 5 | 192NMK | 1 1 1 | 1 1 1 --------------------+-----+------+-------+--------+--------+-------------------+------------ o3o3o3o3x . . ♦ 6 | 15 | 20 | 15 | 6 | 32NMK * * | 1 1 0 . o3o3o3x *b3o . ♦ 6 | 15 | 20 | 15 | 6 | * 32NMK * | 1 0 1 . o3o3o3x . *b3o ♦ 6 | 15 | 20 | 15 | 6 | * * 32NMK | 0 1 1 --------------------+-----+------+-------+--------+--------+-------------------+------------ o3o3o3o3x *b3o . ♦ 12 | 60 | 160 | 240 | 192 | 32 32 0 | NMK * * o3o3o3o3x . *b3o ♦ 12 | 60 | 160 | 240 | 192 | 32 0 32 | * NMK * . o3o3o3x *b3o *b3o ♦ 12 | 60 | 160 | 240 | 192 | 0 32 32 | * * NMK
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