Acronym ...
Name hyperbolic order 4 hexagonal tiling honeycomb
 
 ©
Circumradius 1/sqrt(-2) = 0.707107 i
Dual x4o3o6o
Confer
general polytopal classes:
regular   noble polytopes  
External
links
wikipedia

This regular non-compact hyperbolic tesselation uses hexat in the sense of an infinite horohedron as its only cell type.


Incidence matrix according to Dynkin symbol

o4o3o6x   (N,M → ∞)

. . . . | NM    6 |  12 |  8
--------+----+-----+-----+---
. . . x |  2 | 3NM |   4 |  4
--------+----+-----+-----+---
. . o6x |  6 |   6 | 2NM |  2
--------+----+-----+-----+---
. o3o6x  2M |  3M |   M | 4N

snubbed forms: o4o3o6s

x3x6o3o6*a   (N,M,K,L,P → ∞)

. . . .    | 2NMKLP       3      3 |      6     3     3 |    3    3    1    1
-----------+--------+---------------+--------------------+--------------------
x . . .    |      2 | 3NMKLP      * |      2     2     0 |    1    2    1    0
. x . .    |      2 |      * 3NMKLP |      2     0     2 |    2    1    0    1
-----------+--------+---------------+--------------------+--------------------
x3x . .    |      6 |      3      3 | 2NMKLP     *     * |    1    1    0    0
x . . o6*a |      6 |      6      0 |      * NMKLP     * |    0    1    1    0
. x6o .    |      6 |      0      6 |      *     * NMKLP |    1    0    0    1
-----------+--------+---------------+--------------------+--------------------
x3x6o .         6M |     3M     6M |     2M     0     M | NKLP    *    *    *
x3x . o6*a      6K |     6K     3K |     2K     K     0 |    * NMLP    *    *
x . o3o6*a      2L |     3L      0 |      0     L     0 |    *    * NMKP    *
. x6o3o         2P |      0     3P |      0     0     P |    *    *    * NMKL

snubbed forms: s3s6o3o6*a

© 2004-2019
top of page