Acronym ...
Name hyperbolic omnitruncated order 3 icosahedral tesselation
 
 ©
Circumradius sqrt[-(17+9 sqrt(5))/2] = 4.308399 i
Vertex figure
 ©
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

x3x5x3x   (N → ∞)

. . . . | 120N |   1   1   1   1 |   1   1   1   1   1   1 | 1   1   1 1
--------+------+-----------------+-------------------------+------------
x . . . |    2 | 60N   *   *   * |   1   1   1   0   0   0 | 1   1   1 0
. x . . |    2 |   * 60N   *   * |   1   0   0   1   1   0 | 1   1   0 1
. . x . |    2 |   *   * 60N   * |   0   1   0   1   0   1 | 1   0   1 1
. . . x |    2 |   *   *   * 60N |   0   0   1   0   1   1 | 0   1   1 1
--------+------+-----------------+-------------------------+------------
x3x . . |    6 |   3   3   0   0 | 20N   *   *   *   *   * | 1   1   0 0
x . x . |    4 |   2   0   2   0 |   * 30N   *   *   *   * | 1   0   1 0
x . . x |    4 |   2   0   0   2 |   *   * 30N   *   *   * | 0   1   1 0
. x5x . |   10 |   0   5   5   0 |   *   *   * 12N   *   * | 1   0   0 1
. x . x |    4 |   0   2   0   2 |   *   *   *   * 30N   * | 0   1   0 1
. . 33x |    3 |   0   0   3   3 |   *   *   *   *   * 20N | 0   0   1 1
--------+------+-----------------+-------------------------+------------
x3x5x .   120 |  60  60  60   0 |  20  30   0  12   0   0 | N   *   * *
x3x . x    12 |   6   6   0   6 |   2   0   3   0   3   0 | * 10N   * *
x . x3x    12 |   6   0   6   6 |   0   3   3   0   0   2 | *   * 10N *
. x5x3x   120 |   0  60  60  60 |   0   0   0  12  30  20 | *   *   * N
or
. . . .    | 60N |   2   2 |   2   2   1  1 | 2   2
-----------+-----+---------+----------------+------
x . . .  & |   2 | 60N   * |   1   1   1  0 | 1   2
. x . .  & |   2 |   * 60N |   1   1   0  1 | 2   1
-----------+-----+---------+----------------+------
x3x . .  & |   6 |   3   3 | 20N   *   *  * | 1   1
x . x .  & |   4 |   2   2 |   * 30N   *  * | 1   1
x . . x    |   4 |   4   0 |   *   * 15N  * | 0   2
. x5x .    |  10 |   0  10 |   *   *   * 6N | 2   0
-----------+-----+---------+----------------+------
x3x5x .  &  120 |  60 120 |  20  30   0 12 | N   *
x3x . x  &   12 |  12   6 |   2   3   3  0 | * 10N

© 2004-2019
top of page