Acronym	wavhiddix
Name	sphenoverted hecatonicosadishexacosachoron
Circumradius	sqrt[15+6 sqrt(5)] = 5.330704
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: oct sidditdid siid tid tut rawvid tixady 600 120 0 120 0 wavhiddix 600 0 120 0 600 & others)
Face vector	3600, 10800, 7920, 1320
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope wavhiddix is isomorphic to rawvhiddix, thereby replacing pentagrams by pentagons, respectively siid by giid.

Incidence matrix according to Dynkin symbol

o3x3x5/2o3*b

. . .   .    | 3600 |    4    2 |    2    4    2   1 |   2   1   2
-------------+------+-----------+--------------------+------------
. x .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
. . x   .    |    2 |    * 3600 |    0    2    0   1 |   1   0   2
-------------+------+-----------+--------------------+------------
o3x .   .    |    3 |    3    0 | 2400    *    *   * |   1   1   0
. x3x   .    |    6 |    3    3 |    * 2400    *   * |   1   0   1
. x .   o3*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
. . x5/2o    |    5 |    0    5 |    *    *    * 720 |   0   0   2
-------------+------+-----------+--------------------+------------
o3x3x   .    ♦   12 |   12    6 |    4    4    0   0 | 600   *   *
o3x .   o3*b ♦    6 |   12    0 |    4    0    4   0 |   * 600   *
. x3x5/2o3*b ♦   60 |   60   60 |    0   20   20  12 |   *   * 120

o3x3x5/3o3/2*b

. . .   .      | 3600 |    4    2 |    2    4    2   1 |   2   1   2
---------------+------+-----------+--------------------+------------
. x .   .      |    2 | 7200    * |    1    1    1   0 |   1   1   1
. . x   .      |    2 |    * 3600 |    0    2    0   1 |   1   0   2
---------------+------+-----------+--------------------+------------
o3x .   .      |    3 |    3    0 | 2400    *    *   * |   1   1   0
. x3x   .      |    6 |    3    3 |    * 2400    *   * |   1   0   1
. x .   o3/2*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
. . x5/3o      |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o3x3x   .      ♦   12 |   12    6 |    4    4    0   0 | 600   *   *
o3x .   o3/2*b ♦    6 |   12    0 |    4    0    4   0 |   * 600   *
. x3x5/3o3/2*b ♦   60 |   60   60 |    0   20   20  12 |   *   * 120

o3/2x3x5/2o3*b

.   . .   .    | 3600 |    4    2 |    2    4    2   1 |   2   1   2
---------------+------+-----------+--------------------+------------
.   x .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   . x   .    |    2 |    * 3600 |    0    2    0   1 |   1   0   2
---------------+------+-----------+--------------------+------------
o3/2x .   .    |    3 |    3    0 | 2400    *    *   * |   1   1   0
.   x3x   .    |    6 |    3    3 |    * 2400    *   * |   1   0   1
.   x .   o3*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
.   . x5/2o    |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o3/2x3x   .    ♦   12 |   12    6 |    4    4    0   0 | 600   *   *
o3/2x .   o3*b ♦    6 |   12    0 |    4    0    4   0 |   * 600   *
.   x3x5/2o3*b ♦   60 |   60   60 |    0   20   20  12 |   *   * 120

o3/2x3x5/3o3/2*b

.   . .   .      | 3600 |    4    2 |    2    4    2   1 |   2   1   2
-----------------+------+-----------+--------------------+------------
.   x .   .      |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   . x   .      |    2 |    * 3600 |    0    2    0   1 |   1   0   2
-----------------+------+-----------+--------------------+------------
o3/2x .   .      |    3 |    3    0 | 2400    *    *   * |   1   1   0
.   x3x   .      |    6 |    3    3 |    * 2400    *   * |   1   0   1
.   x .   o3/2*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
.   . x5/3o      |    5 |    0    5 |    *    *    * 720 |   0   0   2
-----------------+------+-----------+--------------------+------------
o3/2x3x   .      ♦   12 |   12    6 |    4    4    0   0 | 600   *   *
o3/2x .   o3/2*b ♦    6 |   12    0 |    4    0    4   0 |   * 600   *
.   x3x5/3o3/2*b ♦   60 |   60   60 |    0   20   20  12 |   *   * 120

o3x3o5β

both( . . . . ) | 3600 |    4    2 |    2    2   1    4 |   1   2   2
----------------+------+-----------+--------------------+------------
both( . x . . ) |    2 | 7200    * |    1    1   0    1 |   1   1   1
sefa( . . o5β ) |    2 |    * 3600 |    0    0   1    2 |   0   2   1
----------------+------+-----------+--------------------+------------
both( o3x . . ) |    3 |    3    0 | 2400    *   *    * |   1   0   1
both( . x3o . ) |    3 |    3    0 |    * 2400   *    * |   1   1   0
      . . o5β   ♦    5 |    0    5 |    *    * 720    * |   0   2   0
sefa( . x3o5β ) |    6 |    3    3 |    *    *   * 2400 |   0   1   1
----------------+------+-----------+--------------------+------------
both( o3x3o . ) ♦    6 |   12    0 |    4    4   0    0 | 600   *   *
      . x3o5β   ♦   60 |   60   60 |    0   20  12   20 |   * 120   *
sefa( o3x3o5β ) ♦   12 |   12    6 |    4    0   0    4 |   *   * 600

starting figure: o3x3o5x