Acronym skiv datapixady
Name small skewverted ditrigonary prismatohexacosadishecatonicosachoron
Circumradius sqrt[13+4 sqrt(5)] = 4.684471
Vertex figure
 ©
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: co gidditdid giid grid idtid oho saddid srid stiddip toe
skiv datapixady 600120000001207200
sik vixathi 600012012000120000
skiv datixathi 012000120600120000
sik vadixady 001200060001200600
& others)
Face vector 7200, 21600, 14880, 1560
Confer
segmentochora:
gidditdid aidtid  
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron

As abstract polytope skiv datapixady is isomorphic to gikkiv datapixady, thereby replacing pentagons by pentagrams and decagrams by decagons, resp. gidditdid by sidditdid, srid by qrid, and stiddip by dip.


Incidence matrix according to Dynkin symbol

     x    
   3 |    
     o    
  3 / \ 5 
   x---x  
    5/3   
x3o3x5/3x5*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
-------------+------+----------------+-------------------------------+----------------
x3o .   .    |    3 |    3    0    0 | 2400    *    *    *    *    * |   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*b |    5 |    0    0    5 |    *    *    *    * 1440    * |   0   1   0   1
. . x5/3x    |   10 |    0    5    5 |    *    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+-------------------------------+----------------
x3o3x   .       12 |   12   12    0 |    4    6    0    4    0    0 | 600   *   *   *
x3o .   x5*b    60 |   60    0   60 |   20    0   30    0   12    0 |   * 120   *   *
x . x5/3x       20 |   10   10   10 |    0    5    5    0    0    2 |   *   * 720   *
. o3x5/3x5*b    60 |    0   60   60 |    0    0    0   20   12   12 |   *   *   * 120

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

© 2004-2025
top of page