Acronym stut pixady
Name small tritrigonal prismatohexacosidihecatonicosachoron
Circumradius sqrt[8+3 sqrt(5)] = 3.835128
General of army x3o3o5v
Colonel of regiment stut phiddix
Face vector 2400, 10800, 8880, 1560
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron

As abstract polytope stut pixady is isomorphic to getit pixady, thereby interchanging the pentagrams and pentagons, resp. replacing the srid by qrid and stip by pip.


Incidence matrix according to Dynkin symbol

x3o3o5/3x5*b

. . .   .    | 2400 |    3    6 |    3    6    3    3 |   1   3   3   1
-------------+------+-----------+---------------------+----------------
x . .   .    |    2 | 3600    * |    2    2    0    0 |   1   2   1   0
. . .   x    |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
-------------+------+-----------+---------------------+----------------
x3o .   .    |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x . .   x    |    4 |    2    2 |    * 3600    *    * |   0   1   1   0
. o .   x5*b |    5 |    0    5 |    *    * 1440    * |   0   1   0   1
. . o5/3x    |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------+------+-----------+---------------------+----------------
x3o3o   .        4 |    6    0 |    4    0    0    0 | 600   *   *   *
x3o .   x5*b    60 |   60   60 |   20   30   12    0 |   * 120   *   *
x . o5/3x       10 |    5   10 |    0    5    0    2 |   *   * 720   *
. o3o5/3x5*b    20 |    0   60 |    0    0   12   12 |   *   *   * 120

x3o3/2o5/2x5*b

. .   .   .    | 2400 |    3    6 |    3    6    3    3 |   1   3   3   1
---------------+------+-----------+---------------------+----------------
x .   .   .    |    2 | 3600    * |    2    2    0    0 |   1   2   1   0
. .   .   x    |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
---------------+------+-----------+---------------------+----------------
x3o   .   .    |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x .   .   x    |    4 |    2    2 |    * 3600    *    * |   0   1   1   0
. o   .   x5*b |    5 |    0    5 |    *    * 1440    * |   0   1   0   1
. .   o5/2x    |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
---------------+------+-----------+---------------------+----------------
x3o3/2o   .        4 |    6    0 |    4    0    0    0 | 600   *   *   *
x3o   .   x5*b    60 |   60   60 |   20   30   12    0 |   * 120   *   *
x .   o5/2x       10 |    5   10 |    0    5    0    2 |   *   * 720   *
. o3/2o5/2x5*b    20 |    0   60 |    0    0   12   12 |   *   *   * 120

x3/2o3o5/2x5/4*b

.   . .   .      | 2400 |    3    6 |    3    6    3    3 |   1   3   3   1
-----------------+------+-----------+---------------------+----------------
x   . .   .      |    2 | 3600    * |    2    2    0    0 |   1   2   1   0
.   . .   x      |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
-----------------+------+-----------+---------------------+----------------
x3/2o .   .      |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x   . .   x      |    4 |    2    2 |    * 3600    *    * |   0   1   1   0
.   o .   x5/4*b |    5 |    0    5 |    *    * 1440    * |   0   1   0   1
.   . o5/2x      |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-----------------+------+-----------+---------------------+----------------
x3/2o3o   .          4 |    6    0 |    4    0    0    0 | 600   *   *   *
x3/2o .   x5/4*b    60 |   60   60 |   20   30   12    0 |   * 120   *   *
x   . o5/2x         10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3o5/2x5/4*b    20 |    0   60 |    0    0   12   12 |   *   *   * 120

x3/2o3/2o5/3x5/4*b

.   .   .   .      | 2400 |    3    6 |    3    6    3    3 |   1   3   3   1
-------------------+------+-----------+---------------------+----------------
x   .   .   .      |    2 | 3600    * |    2    2    0    0 |   1   2   1   0
.   .   .   x      |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
-------------------+------+-----------+---------------------+----------------
x3/2o   .   .      |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x   .   .   x      |    4 |    2    2 |    * 3600    *    * |   0   1   1   0
.   o   .   x5/4*b |    5 |    0    5 |    *    * 1440    * |   0   1   0   1
.   .   o5/3x      |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------------+------+-----------+---------------------+----------------
x3/2o3/2o   .          4 |    6    0 |    4    0    0    0 | 600   *   *   *
x3/2o   .   x5/4*b    60 |   60   60 |   20   30   12    0 |   * 120   *   *
x   .   o5/3x         10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3/2o5/3x5/4*b    20 |    0   60 |    0    0   12   12 |   *   *   * 120

© 2004-2024
top of page