Acronym ...
Name hyperbolic order 4 horocyclic tiling
 
 
Circumradius 1/sqrt(-4) = 0.5 i
Vertex figure [∞4]
Dual x4o∞o
Confer
general polytopal classes:
regular   noble polytopes  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

o4o∞x   (N,M → ∞)

. . . | NM |   4 |  4
------+----+-----+---
. . x |  2 | 2NM |  2
------+----+-----+---
. o∞x |  M |   M | 4N

o∞x∞o   (N,M → ∞)

. . . | NM |   4 |  2  2
------+----+-----+------
. x . |  2 | 2NM |  1  1
------+----+-----+------
o∞x . |  M |   M | 2N  *
. x∞o |  M |   M |  * 2N

x∞x∞o∞*a   (N,M → ∞)

. . .    | NM |  2  2 | 2 1 1
---------+----+-------+------
x . .    |  2 | NM  * | 1 1 0
. x .    |  2 |  * NM | 1 0 1
---------+----+-------+------
x∞x .    | 2M |  M  M | N * *
x . o∞*a |  M |  M  0 | * N *
. x∞o    |  M |  0  M | * * N

© 2004-2019
top of page