Acronym ...
Name o5x3o5β (?)
Circumradius ...

This hyperbolic honeycomb is obtained by alternated holo-faceting as alternation of the ids. When starting directly from o5x3o5x mere faceting results in a non-uniform variant. Whereas, when starting from its o5x3o5v variant instead, mere faceting would result indeed in a corresponding uniform holosnub!


Incidence matrix according to Dynkin symbol

o5x3o5β   (N → ∞)

both( . . . . ) | 60N |    4   2 |   2   2   1   4 |  1  2  2
----------------+-----+----------+-----------------+---------
both( . x . . ) |   2 | 120N   * |   1   1   0   1 |  1  1  1
sefa( . . o5β ) |   2 |    * 60N |   0   0   1   2 |  0  2  1
----------------+-----+----------+-----------------+---------
both( o5x . . ) |   5 |    5   0 | 24N   *   *   * |  1  0  1
both( . x3o . ) |   3 |    3   0 |   * 40N   *   * |  1  1  0
      . . o5β      5 |    0   5 |   *   * 12N   * |  0  2  0
sefa( . x3o5β ) |   6 |    3   3 |   *   *   * 40N |  0  1  1
----------------+-----+----------+-----------------+---------
both( o5x3o . )   30 |   60   0 |  12  20   0   0 | 2N  *  *
      . x3o5β     60 |   60  60 |   0  20  12  20 |  * 2N  *
sefa( o5x3o5β )   60 |   60  30 |  12   0   0  20 |  *  * 2N

starting figure: o5x3o5x

© 2004-2024
top of page