Acronym bimtich
Name bimesotruncatocubic honeycomb
Confer
general polytopal classes:
isogonal  
External
links
polytopewiki

This isogonal honeycomb cannot be made uniform, i.e. having all 3 edge types at the same size.

Squares and trapezia here are coplanar. The angles of the latter are 45° resp. 135°.


Incidence matrix according to Dynkin symbol

oo4ab3ba3oo&#zc   → height = 0
                    a < b
                    c = |a-b|/sqrt(2)
                    (N → ∞)

o.4o.3o.4o.     & | 12N |   2   2  1 |  1  4   4 | 2  4
------------------+-----+------------+-----------+-----
.. a. .. ..     & |   2 | 12N   *  * |  1  2   1 | 2  2
.. .. b. ..     & |   2 |   * 12N  * |  0  2   1 | 1  2
oo4oo3oo4oo&#c    |   2 |   *   * 6N |  0  0   4 | 0  4
------------------+-----+------------+-----------+-----
o.4a. .. ..     & |   4 |   4   0  0 | 3N  *   * | 2  0
.. a.3b. ..     & |   6 |   3   3  0 |  * 8N   * | 1  1
.. ab .. ..&#c  & |   4 |   1   1  2 |  *  * 12N | 0  2
------------------+-----+------------+-----------+-----
o.4a.3b. ..     & |  24 |  24  12  0 |  6  8   0 | N  *  toe variant
.. ab3ba ..&#c    |  12 |   6   6  6 |  0  2   6 | * 4N  ditra

© 2004-2021
top of page