Acronym hisquat
Name hyperbolic order 6 square tiling
 
  ©    ©
Circumradius 1/sqrt(-4) = 0.5 i
Vertex figure [46]
Dual o4o6x
Confer
more general:
x4oPo   x4o2Po  
general polytopal classes:
regular   noble polytopes  
External
links
wikipedia   wikipedia   polytopewiki   polytopewiki  
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There exists a regular modwrap of this tiling, obtained by identifying every 4th vertex on each hole. Then it allows a representation as infinite regular skew polyhedron, which happens to be a facial subset of the cubical honeycomb.

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There also exist further regular modwraps of this tiling, obtained by identifying every 5th resp. 6th vertex on each hole instead. Then these allow representations as further infinite regular skew polyhedra, which happen to be facial subsets of the hyperbolic small prismated disdodecahedral honeycomb and the hyperbolic small prismatodishexagonal-tiling honeycomb resp.


Incidence matrix according to Dynkin symbol

x4o6o   (N → ∞)

. . . | 2N |  6 |  6
------+----+----+---
x . . |  2 | 6N |  2
------+----+----+---
x4o . |  4 |  4 | 3N

snubbed forms: s4o6o

o3o4x4*a   (N → ∞)

. . .    | 4N |   6 |  3  3
---------+----+-----+------
. . x    |  2 | 12N |  1  1
---------+----+-----+------
o . x4*a |  4 |   4 | 3N  *
. o4x    |  4 |   4 |  * 3N

snubbed forms: o3o4s4*a

xØo3oØx   (N → ∞)

. . . . | 2N |  3  3 |  6
--------+----+-------+---
x . . . |  2 | 3N  * |  2
. . . x |  2 |  * 3N |  2
--------+----+-------+---
x . . x |  4 |  2  2 | 3N

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