Acronym chata
Name complexitrihexaapeirogonal tiling
Vertex figure [6,3/2,6,∞]

Looks like the compound of 3 mutually shifted hexats, a trat, and all edge sequences furthermore being outlined by double covers of aze. – Without these azes, this would result in chatit. – Without that trat, it would result in cha.


Incidence matrix according to Dynkin symbol

x3x3/2o∞*a   (N,M → ∞)

. .   .    | 3NM |   2   2 |  2  1  1
-----------+-----+---------+---------
x .   .    |   2 | 3NM   * |  1  1  0
. x   .    |   2 |   * 3NM |  1  0  1
-----------+-----+---------+---------
x3x   .    |   6 |   3   3 | NM  *  *
x .   o∞*a    M |   M   0 |  * 3N  *
. x3/2o    |   3 |   0   3 |  *  * NM

x3x3o∞'*a   (N,M → ∞)

. . .     | 3NM |   2   2 |  2  1  1
----------+-----+---------+---------
x . .     |   2 | 3NM   * |  1  1  0
. x .     |   2 |   * 3NM |  1  0  1
----------+-----+---------+---------
x3x .     |   6 |   3   3 | NM  *  *
x . o∞'*a    M |   M   0 |  * 3N  *
. x3o     |   3 |   0   3 |  *  * NM

© 2004-2019
top of page