Acronym | ... |
Name | hyperbolic o3o4s4o tesselation |
Circumradius | sqrt(-3)/2 = 0.866025 i |
This non-Wythoffian but still uniform non-compact hyperbolic tesselation uses the squat in the sense of an infinite horohedron for some of its cells. – Its vertex figure is a close relative to co, in fact it is xox3ouo&#qt.
Incidence matrix according to Dynkin symbol
o3o4s4o (N,M,K → ∞) demi( . . . . ) | 2NM | 6 3 | 6 12 | 2 3 6 ----------------+-----+---------+---------+---------- . o4s . | 2 | 6NM * | 2 2 | 1 1 2 . . s4o | 2 | * 3NM | 0 4 | 0 2 2 ----------------+-----+---------+---------+---------- sefa( o3o4s . ) | 3 | 3 0 | 4NM * | 1 0 1 sefa( . o4s4o ) | 4 | 2 2 | * 6NM | 0 1 1 ----------------+-----+---------+---------+---------- o3o4s . ♦ 4 | 6 0 | 4 0 | NM * * . o4s4o ♦ M | M M | 0 M | * 6N * sefa( o3o4s4o ) ♦ 6 | 6 3 | 2 3 | * * 2NM starting figure: o3o4x4o
s4o4s4o (N,M,K → ∞) demi( . . . . ) | 2NMK | 1 4 2 2 | 8 6 4 | 2 2 1 6 ----------------+------+--------------------+----------------+----------------- s4o . . | 2 | NMK * * * | 4 0 0 | 2 0 0 2 s . s . | 2 | * 4NMK * * | 2 2 0 | 1 1 0 1 . o4s . | 2 | * * 2NMK * | 2 0 2 | 1 0 1 2 . . s4o | 2 | * * * 2NMK | 0 2 2 | 0 1 1 2 ----------------+------+--------------------+----------------+----------------- sefa( s4o4s . ) | 4 | 1 2 1 0 | 4NMK * * | 1 0 0 1 sefa( s . s4o ) | 3 | 0 2 0 1 | * 4NMK * | 0 1 0 1 sefa( . o4s4o ) | 4 | 0 0 2 2 | * * 2NMK | 0 0 1 1 ----------------+------+--------------------+----------------+----------------- s4o4s . ♦ 2M | M 2M M 0 | 2M 0 0 | 2NK * * * s . s4o ♦ 4 | 0 4 0 2 | 0 4 0 | * NMK * * . o4s4o ♦ K | 0 0 K K | 0 0 K | * * 2NM * sefa( s4o4s4o ) ♦ 6 | 1 4 2 2 | 2 2 1 | * * * 2NMK starting figure: x4o4x4o
s4o4s *b3o (N,M → ∞) demi( . . . . ) | 4NM | 3 3 3 | 12 3 3 | 3 1 1 6 -------------------+-----+-------------+--------------+------------- s4o . . | 2 | 6NM * * | 2 2 0 | 1 1 0 2 s 2 s . | 2 | * 6NM * | 4 0 0 | 2 0 0 2 . o4s . | 2 | * * 6NM | 2 0 2 | 1 0 1 2 -------------------+-----+-------------+--------------+------------- sefa( s4o4s . ) | 4 | 1 2 1 | 12NM * * | 1 0 0 1 sefa( s4o . *b3o ) | 3 | 3 0 0 | * 4NM * | 0 1 0 1 sefa( . o4s *b3o ) | 3 | 0 0 3 | * * 4NM | 0 0 1 1 -------------------+-----+-------------+--------------+------------- s4o4s . | 2M | M 2M M | 2M 0 0 | 6N * * * s4o . *b3o | 4 | 6 0 0 | 0 4 0 | * NM * * . o4s *b3o | 4 | 0 0 6 | 0 0 4 | * * NM * sefa( s4o4s *b3o ) | 6 | 3 3 3 | 3 1 1 | * * * 4NM starting figure: x4o4x *b3o
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