Acronym ...
Name hyperbolic order 4 tritetragonal tiling,
hyperbolic ditetragonal tritetratrigonal tiling,
hyperbolic alternated order 4 hexagonal tiling
 
  ©
Circumradius 1/sqrt(-6) = 0.408248 i
Vertex figure [(3,4)4]
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

x3o4o4*a   (N → ∞)

. . .    | 3N |   8 |  4  4
---------+----+-----+------
x . .    |  2 | 12N |  1  1
---------+----+-----+------
x3o .    |  3 |   3 | 4N  *
x . o4*a |  4 |   4 |  * 3N

o4o6s   (N → ∞)

demi( . . . ) | 3N |   8 |  4  4
--------------+----+-----+------
sefa( . o6s ) |  2 | 12N |  1  1
--------------+----+-----+------
      . o6s   |  3 |   3 | 4N  *
sefa( o4o6s ) |  4 |   4 |  * 3N

starting figure: o4o6x

o6s6o   (N → ∞)

demi( . . . ) | 3N |  4  4 |  2  2  4
--------------+----+-------+---------
sefa( o6s . ) |  2 | 6N  * |  1  0  1
sefa( . s6o ) |  2 |  * 6N |  0  1  1
--------------+----+-------+---------
      o6s .   |  3 |  3  0 | 2N  *  *
      . s6o   |  3 |  0  3 |  * 2N  *
sefa( o6s6o ) |  4 |  2  2 |  *  * 3N

starting figure: o6x6o

x3oØx3oØ*a   (N → ∞)

. . . .    | 3N |  4  4 |  2  4  2
-----------+----+-------+---------
x . . .    |  2 | 6N  * |  1  1  0
. . x .    |  2 |  * 6N |  0  1  1
-----------+----+-------+---------
x3o . .    |  3 |  3  0 | 2N  *  *
x . x .    |  4 |  2  2 |  * 3N  *
. . x3o    |  3 |  0  3 |  *  * 2N

© 2004-2019
top of page