skivbadant

Acronym

skivbadant

Name

small skewverted biprismatodispenteractitriacontaditeron

Circumradius

sqrt[11+2 sqrt(2)]/2 = 1.859330

Coordinates

(1+sqrt(2), 1+sqrt(2), sqrt(2)-1, 1, 1)/2 & all permutations, all changes of sign

Colonel of regiment

(is itself locally convex – other uniform polyteral members:

by facets:	gikviphado	kavahto	kaviphdit	rawvatoth	rawvtip	skiviphado	srip	srit	thatoth	ticcup	tistodip	tuttip
sikvacadint	10	0	0	10	0	0	32	0	0	40	0	0
skevatant	0	10	0	10	32	0	0	0	10	0	0	0
skovactaden	0	0	10	0	32	0	0	10	0	0	0	80
skivbadant	0	0	0	0	0	10	32	10	0	0	80	0

& others)

Face vector

960, 3840, 4000, 1320, 132

Confer

general polytopal classes:: Wythoffian polytera

External
links

As abstract polytope skivbadant is isomorphic to gakvebidant, thereby replacing octagrams by octagons, resp. sirco by querco, stop by op, and gocco by socco, resp. srit by qrit, tistodip by todip and skiviphado by gikviphado.

Incidence matrix according to Dynkin symbol

   3   3   3     
 o---x---o---x   
        4 \ / 4/3
           x

o3x3o3x4/3x4*c

. . . .   .    | 960 |    4   2   2 |   2   2   4   4   1   1   2 |   1   2   2   2  2   4  1 |  1  1  2  2
---------------+-----+--------------+-----------------------------+---------------------------+------------
. x . .   .    |   2 | 1920   *   * |   1   1   1   1   0   0   0 |   1   1   1   1  1   1  0 |  1  1  1  1
. . . x   .    |   2 |    * 960   * |   0   0   2   0   1   0   1 |   0   1   0   2  0   2  1 |  1  0  1  2
. . . .   x    |   2 |    *   * 960 |   0   0   0   2   0   1   1 |   0   0   1   0  2   2  1 |  0  1  1  2
---------------+-----+--------------+-----------------------------+---------------------------+------------
o3x . .   .    |   3 |    3   0   0 | 640   *   *   *   *   *   * |   1   1   1   0  0   0  0 |  1  1  1  0
. x3o .   .    |   3 |    3   0   0 |   * 640   *   *   *   *   * |   1   0   0   1  1   0  0 |  1  1  0  1
. x . x   .    |   4 |    2   2   0 |   *   * 960   *   *   *   * |   0   1   0   1  0   1  0 |  1  0  1  1
. x . .   x    |   4 |    2   0   2 |   *   *   * 960   *   *   * |   0   0   1   0  1   1  0 |  0  1  1  1
. . o3x   .    |   3 |    0   3   0 |   *   *   *   * 320   *   * |   0   0   0   2  0   0  1 |  1  0  0  2
. . o .   x4*c |   4 |    0   0   4 |   *   *   *   *   * 240   * |   0   0   0   0  2   0  1 |  0  1  0  2
. . . x4/3x    |   8 |    0   4   4 |   *   *   *   *   *   * 240 |   0   0   0   0  0   2  1 |  0  0  1  2  {8/3}
---------------+-----+--------------+-----------------------------+---------------------------+------------
o3x3o .   .    ♦   6 |   12   0   0 |   4   4   0   0   0   0   0 | 160   *   *   *  *   *  * |  1  1  0  0
o3x . x   .    ♦   6 |    6   3   0 |   2   0   3   0   0   0   0 |   * 320   *   *  *   *  * |  1  0  1  0
o3x . .   x    ♦   6 |    6   0   3 |   2   0   0   3   0   0   0 |   *   * 320   *  *   *  * |  0  1  1  0
. x3o3x   .    ♦  12 |   12  12   0 |   0   4   6   0   4   0   0 |   *   *   * 160  *   *  * |  1  0  0  1
. x3o .   x4*c ♦  24 |   24   0  24 |   0   8   0  12   0   6   0 |   *   *   *   * 80   *  * |  0  1  0  1
. x . x4/3x    ♦  16 |    8   8   8 |   0   0   4   4   0   0   2 |   *   *   *   *  * 240  * |  0  0  1  1
. . o3x4/3x4*c ♦  24 |    0  24  24 |   0   0   0   0   8   6   6 |   *   *   *   *  *   * 40 |  0  0  0  2
---------------+-----+--------------+-----------------------------+---------------------------+------------
o3x3o3x   .    ♦  30 |   60  30   0 |  20  20  30   0  10   0   0 |   5  10   0   5  0   0  0 | 32  *  *  *
o3x3o .   x4*c ♦  96 |  192   0  96 |  64  64   0  96   0  24   0 |  16   0  32   0  8   0  0 |  * 10  *  *
o3x . x4/3x    ♦  24 |   24  12  12 |   8   0  12  12   0   0   3 |   0   4   4   0  0   3  0 |  *  * 80  *
. x3o3x4/3x4*c ♦ 192 |  192 192 192 |   0  64  96  96  64  48  48 |   0   0   0  16  8  24  8 |  *  *  * 10

   3  3/2 3/2    
 o---x---o---x   
      4/3 \ / 4/3
           x

o3x3/2o3/2x4/3x4/3*c

. .   .   .   .      | 960 |    4   2   2 |   2   2   4   4   1   1   2 |   1   2   2   2  2   4  1 |  1  1  2  2
---------------------+-----+--------------+-----------------------------+---------------------------+------------
. x   .   .   .      |   2 | 1920   *   * |   1   1   1   1   0   0   0 |   1   1   1   1  1   1  0 |  1  1  1  1
. .   .   x   .      |   2 |    * 960   * |   0   0   2   0   1   0   1 |   0   1   0   2  0   2  1 |  1  0  1  2
. .   .   .   x      |   2 |    *   * 960 |   0   0   0   2   0   1   1 |   0   0   1   0  2   2  1 |  0  1  1  2
---------------------+-----+--------------+-----------------------------+---------------------------+------------
o3x   .   .   .      |   3 |    3   0   0 | 640   *   *   *   *   *   * |   1   1   1   0  0   0  0 |  1  1  1  0
. x3/2o   .   .      |   3 |    3   0   0 |   * 640   *   *   *   *   * |   1   0   0   1  1   0  0 |  1  1  0  1
. x   .   x   .      |   4 |    2   2   0 |   *   * 960   *   *   *   * |   0   1   0   1  0   1  0 |  1  0  1  1
. x   .   .   x      |   4 |    2   0   2 |   *   *   * 960   *   *   * |   0   0   1   0  1   1  0 |  0  1  1  1
. .   o3/2x   .      |   3 |    0   3   0 |   *   *   *   * 320   *   * |   0   0   0   2  0   0  1 |  1  0  0  2
. .   o   .   x4/3*c |   4 |    0   0   4 |   *   *   *   *   * 240   * |   0   0   0   0  2   0  1 |  0  1  0  2
. .   .   x4/3x      |   8 |    0   4   4 |   *   *   *   *   *   * 240 |   0   0   0   0  0   2  1 |  0  0  1  2  {8/3}
---------------------+-----+--------------+-----------------------------+---------------------------+------------
o3x3/2o   .   .      ♦   6 |   12   0   0 |   4   4   0   0   0   0   0 | 160   *   *   *  *   *  * |  1  1  0  0
o3x   .   x   .      ♦   6 |    6   3   0 |   2   0   3   0   0   0   0 |   * 320   *   *  *   *  * |  1  0  1  0
o3x   .   .   x      ♦   6 |    6   0   3 |   2   0   0   3   0   0   0 |   *   * 320   *  *   *  * |  0  1  1  0
. x3/2o3/2x   .      ♦  12 |   12  12   0 |   0   4   6   0   4   0   0 |   *   *   * 160  *   *  * |  1  0  0  1
. x3/2o   .   x4/3*c ♦  24 |   24   0  24 |   0   8   0  12   0   6   0 |   *   *   *   * 80   *  * |  0  1  0  1
. x   .   x4/3x      ♦  16 |    8   8   8 |   0   0   4   4   0   0   2 |   *   *   *   *  * 240  * |  0  0  1  1
. .   o3/2x4/3x4/3*c ♦  24 |    0  24  24 |   0   0   0   0   8   6   6 |   *   *   *   *  *   * 40 |  0  0  0  2
---------------------+-----+--------------+-----------------------------+---------------------------+------------
o3x3/2o3/2x   .      ♦  30 |   60  30   0 |  20  20  30   0  10   0   0 |   5  10   0   5  0   0  0 | 32  *  *  *
o3x3/2o   .   x4/3*c ♦  96 |  192   0  96 |  64  64   0  96   0  24   0 |  16   0  32   0  8   0  0 |  * 10  *  *
o3x   .   x4/3x      ♦  24 |   24  12  12 |   8   0  12  12   0   0   3 |   0   4   4   0  0   3  0 |  *  * 80  *
. x3/2o3/2x4/3x4/3*c ♦ 192 |  192 192 192 |   0  64  96  96  64  48  48 |   0   0   0  16  8  24  8 |  *  *  * 10

  3/2  3   3     
 o---x---o---x   
        4 \ / 4/3
           x

o3/2x3o3x4/3x4*c

.   . . .   .    | 960 |    4   2   2 |   2   2   4   4   1   1   2 |   1   2   2   2  2   4  1 |  1  1  2  2
-----------------+-----+--------------+-----------------------------+---------------------------+------------
.   x . .   .    |   2 | 1920   *   * |   1   1   1   1   0   0   0 |   1   1   1   1  1   1  0 |  1  1  1  1
.   . . x   .    |   2 |    * 960   * |   0   0   2   0   1   0   1 |   0   1   0   2  0   2  1 |  1  0  1  2
.   . . .   x    |   2 |    *   * 960 |   0   0   0   2   0   1   1 |   0   0   1   0  2   2  1 |  0  1  1  2
-----------------+-----+--------------+-----------------------------+---------------------------+------------
o3/2x . .   .    |   3 |    3   0   0 | 640   *   *   *   *   *   * |   1   1   1   0  0   0  0 |  1  1  1  0
.   x3o .   .    |   3 |    3   0   0 |   * 640   *   *   *   *   * |   1   0   0   1  1   0  0 |  1  1  0  1
.   x . x   .    |   4 |    2   2   0 |   *   * 960   *   *   *   * |   0   1   0   1  0   1  0 |  1  0  1  1
.   x . .   x    |   4 |    2   0   2 |   *   *   * 960   *   *   * |   0   0   1   0  1   1  0 |  0  1  1  1
.   . o3x   .    |   3 |    0   3   0 |   *   *   *   * 320   *   * |   0   0   0   2  0   0  1 |  1  0  0  2
.   . o .   x4*c |   4 |    0   0   4 |   *   *   *   *   * 240   * |   0   0   0   0  2   0  1 |  0  1  0  2
.   . . x4/3x    |   8 |    0   4   4 |   *   *   *   *   *   * 240 |   0   0   0   0  0   2  1 |  0  0  1  2  {8/3}
-----------------+-----+--------------+-----------------------------+---------------------------+------------
o3/2x3o .   .    ♦   6 |   12   0   0 |   4   4   0   0   0   0   0 | 160   *   *   *  *   *  * |  1  1  0  0
o3/2x . x   .    ♦   6 |    6   3   0 |   2   0   3   0   0   0   0 |   * 320   *   *  *   *  * |  1  0  1  0
o3/2x . .   x    ♦   6 |    6   0   3 |   2   0   0   3   0   0   0 |   *   * 320   *  *   *  * |  0  1  1  0
.   x3o3x   .    ♦  12 |   12  12   0 |   0   4   6   0   4   0   0 |   *   *   * 160  *   *  * |  1  0  0  1
.   x3o .   x4*c ♦  24 |   24   0  24 |   0   8   0  12   0   6   0 |   *   *   *   * 80   *  * |  0  1  0  1
.   x . x4/3x    ♦  16 |    8   8   8 |   0   0   4   4   0   0   2 |   *   *   *   *  * 240  * |  0  0  1  1
.   . o3x4/3x4*c ♦  24 |    0  24  24 |   0   0   0   0   8   6   6 |   *   *   *   *  *   * 40 |  0  0  0  2
-----------------+-----+--------------+-----------------------------+---------------------------+------------
o3/2x3o3x   .    ♦  30 |   60  30   0 |  20  20  30   0  10   0   0 |   5  10   0   5  0   0  0 | 32  *  *  *
o3/2x3o .   x4*c ♦  96 |  192   0  96 |  64  64   0  96   0  24   0 |  16   0  32   0  8   0  0 |  * 10  *  *
o3/2x . x4/3x    ♦  24 |   24  12  12 |   8   0  12  12   0   0   3 |   0   4   4   0  0   3  0 |  *  * 80  *
.   x3o3x4/3x4*c ♦ 192 |  192 192 192 |   0  64  96  96  64  48  48 |   0   0   0  16  8  24  8 |  *  *  * 10

  3/2 3/2 3/2    
 o---x---o---x   
      4/3 \ / 4/3
           x

o3/2x3/2o3/2x4/3x4/3*c

.   .   .   .   .      | 960 |    4   2   2 |   2   2   4   4   1   1   2 |   1   2   2   2  2   4  1 |  1  1  2  2
-----------------------+-----+--------------+-----------------------------+---------------------------+------------
.   x   .   .   .      |   2 | 1920   *   * |   1   1   1   1   0   0   0 |   1   1   1   1  1   1  0 |  1  1  1  1
.   .   .   x   .      |   2 |    * 960   * |   0   0   2   0   1   0   1 |   0   1   0   2  0   2  1 |  1  0  1  2
.   .   .   .   x      |   2 |    *   * 960 |   0   0   0   2   0   1   1 |   0   0   1   0  2   2  1 |  0  1  1  2
-----------------------+-----+--------------+-----------------------------+---------------------------+------------
o3/2x   .   .   .      |   3 |    3   0   0 | 640   *   *   *   *   *   * |   1   1   1   0  0   0  0 |  1  1  1  0
.   x3/2o   .   .      |   3 |    3   0   0 |   * 640   *   *   *   *   * |   1   0   0   1  1   0  0 |  1  1  0  1
.   x   .   x   .      |   4 |    2   2   0 |   *   * 960   *   *   *   * |   0   1   0   1  0   1  0 |  1  0  1  1
.   x   .   .   x      |   4 |    2   0   2 |   *   *   * 960   *   *   * |   0   0   1   0  1   1  0 |  0  1  1  1
.   .   o3/2x   .      |   3 |    0   3   0 |   *   *   *   * 320   *   * |   0   0   0   2  0   0  1 |  1  0  0  2
.   .   o   .   x4/3*c |   4 |    0   0   4 |   *   *   *   *   * 240   * |   0   0   0   0  2   0  1 |  0  1  0  2
.   .   .   x4/3x      |   8 |    0   4   4 |   *   *   *   *   *   * 240 |   0   0   0   0  0   2  1 |  0  0  1  2  {8/3}
-----------------------+-----+--------------+-----------------------------+---------------------------+------------
o3/2x3/2o   .   .      ♦   6 |   12   0   0 |   4   4   0   0   0   0   0 | 160   *   *   *  *   *  * |  1  1  0  0
o3/2x   .   x   .      ♦   6 |    6   3   0 |   2   0   3   0   0   0   0 |   * 320   *   *  *   *  * |  1  0  1  0
o3/2x   .   .   x      ♦   6 |    6   0   3 |   2   0   0   3   0   0   0 |   *   * 320   *  *   *  * |  0  1  1  0
.   x3/2o3/2x   .      ♦  12 |   12  12   0 |   0   4   6   0   4   0   0 |   *   *   * 160  *   *  * |  1  0  0  1
.   x3/2o   .   x4/3*c ♦  24 |   24   0  24 |   0   8   0  12   0   6   0 |   *   *   *   * 80   *  * |  0  1  0  1
.   x   .   x4/3x      ♦  16 |    8   8   8 |   0   0   4   4   0   0   2 |   *   *   *   *  * 240  * |  0  0  1  1
.   .   o3/2x4/3x4/3*c ♦  24 |    0  24  24 |   0   0   0   0   8   6   6 |   *   *   *   *  *   * 40 |  0  0  0  2
-----------------------+-----+--------------+-----------------------------+---------------------------+------------
o3/2x3/2o3/2x   .      ♦  30 |   60  30   0 |  20  20  30   0  10   0   0 |   5  10   0   5  0   0  0 | 32  *  *  *
o3/2x3/2o   .   x4/3*c ♦  96 |  192   0  96 |  64  64   0  96   0  24   0 |  16   0  32   0  8   0  0 |  * 10  *  *
o3/2x   .   x4/3x      ♦  24 |   24  12  12 |   8   0  12  12   0   0   3 |   0   4   4   0  0   3  0 |  *  * 80  *
.   x3/2o3/2x4/3x4/3*c ♦ 192 |  192 192 192 |   0  64  96  96  64  48  48 |   0   0   0  16  8  24  8 |  *  *  * 10

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