Acronym sik vipathi
Name small skewverted prismatotriakishecatonicosachoron
Circumradius sqrt(8) = 2.828427
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: dip gaddid hip ided qrid raded saddid srid stiddip
gik vipathi 72000012012012000
sik vipathi 01200001200120720
kavipathi 001200120120001200
& others)
External
links
hedrondude   WikiChoron  

As abstract polytope sik vipathi is isomorphic to gik vipathi, thereby interchanging the roles of the pentagrams and pentagons and replacing the decagrams by decagons, respectively replacing srid by qrid, stiddip by dip, and gaddid by saddid.


Incidence matrix according to Dynkin symbol

x5o3x5/3x5/2*b

. . .   .      | 7200 |    2    2    2 |    1    2    2    1    1    2 |   1   1   2   1
---------------+------+----------------+-------------------------------+----------------
x . .   .      |    2 | 7200    *    * |    1    1    1    0    0    0 |   1   1   1   0
. . x   .      |    2 |    * 7200    * |    0    1    0    1    0    1 |   1   0   1   1
. . .   x      |    2 |    *    * 7200 |    0    0    1    0    1    1 |   0   1   1   1
---------------+------+----------------+-------------------------------+----------------
x5o .   .      |    5 |    5    0    0 | 1440    *    *    *    *    * |   1   1   0   0
x . x   .      |    4 |    2    2    0 |    * 3600    *    *    *    * |   1   0   1   0
x . .   x      |    4 |    2    0    2 |    *    * 3600    *    *    * |   0   1   1   0
. o3x   .      |    3 |    0    3    0 |    *    *    * 2400    *    * |   1   0   0   1
. o .   x5/2*b |    5 |    0    0    5 |    *    *    *    * 1440    * |   0   1   0   1
. . x5/3x      |   10 |    0    5    5 |    *    *    *    *    * 1440 |   0   0   1   1
---------------+------+----------------+-------------------------------+----------------
x5o3x   .         60 |   60   60    0 |   12   30    0   20    0    0 | 120   *   *   *
x5o .   x5/2*b    60 |   60    0   60 |   12    0   30    0   12    0 |   * 120   *   *
x . x5/3x         20 |   10   10   10 |    0    5    5    0    0    2 |   *   * 720   *
. o3x5/3x5/2*b    60 |    0   60   60 |    0    0    0   20   12   12 |   *   *   * 120

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

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

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