skatbacadint

Acronym

skatbacadint

Name

small skewtrigonary biprismatocellidispenteractitriacontiditeron

Field of sections

©

Circumradius

3/2 = 1.5

Vertex figure

©

Colonel of regiment

(is itself locally convex – other uniform polyteral members:

by facets:	duhd	gittith	goccope	kavahto	ohope	quidpith	shiddip	sidpith	soccope	spid	steth	tistodip	todip
raktatant	32	10	0	10	0	0	0	0	0	0	10	0	0
katcabadint	32	0	0	0	80	10	80	10	0	0	0	0	0
skatbacadint	0	10	40	0	0	0	0	10	0	32	0	80	0
gektabcadont	0	0	0	0	0	0	0	10	40	32	10	0	80

& others)

Face vector

640, 2880, 3920, 1920, 172

Confer

general polytopal classes:: Wythoffian polytera

External
links

As abstract polytope skatbacadint is isomorphic to gektabcadont, thereby replacing octagrams by octagons, resp. gocco by socco and stop by op, resp. gittith by steth, goccope by soccope, and tistodip by todip.

Incidence matrix according to Dynkin symbol

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

x3o3o3x4/3x4*c

. . . .   .    | 640 |   3   3   3 |   3   6   6   3   3   3 |   1   3   3   3   3   6   1  1  3 |  1  1  3  3  1
---------------+-----+-------------+-------------------------+-----------------------------------+---------------
x . . .   .    |   2 | 960   *   * |   2   2   2   0   0   0 |   1   2   2   1   1   2   0  0  0 |  1  1  2  1  0
. . . x   .    |   2 |   * 960   * |   0   2   0   2   0   1 |   0   1   0   2   0   2   1  0  2 |  1  0  1  2  1
. . . .   x    |   2 |   *   * 960 |   0   0   2   0   2   1 |   0   0   1   0   2   2   0  1  2 |  0  1  1  2  1
---------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3o . .   .    |   3 |   3   0   0 | 640   *   *   *   *   * |   1   1   1   0   0   0   0  0  0 |  1  1  1  0  0
x . . x   .    |   4 |   2   2   0 |   * 960   *   *   *   * |   0   1   0   1   0   1   0  0  0 |  1  0  1  1  0
x . . .   x    |   4 |   2   0   2 |   *   * 960   *   *   * |   0   0   1   0   1   1   0  0  0 |  0  1  1  1  0
. . o3x   .    |   3 |   0   3   0 |   *   *   * 640   *   * |   0   0   0   1   0   0   1  0  1 |  1  0  0  1  1
. . o .   x4*c |   4 |   0   0   4 |   *   *   *   * 480   * |   0   0   0   0   1   0   0  1  1 |  0  1  0  1  1
. . . x4/3x    |   8 |   0   4   4 |   *   *   *   *   * 240 |   0   0   0   0   0   2   0  0  2 |  0  0  1  2  1
---------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3o3o .   .    ♦   4 |   6   0   0 |   4   0   0   0   0   0 | 160   *   *   *   *   *   *  *  * |  1  1  0  0  0
x3o . x   .    ♦   6 |   6   3   0 |   2   3   0   0   0   0 |   * 320   *   *   *   *   *  *  * |  1  0  1  0  0
x3o . .   x    ♦   6 |   6   0   3 |   2   0   3   0   0   0 |   *   * 320   *   *   *   *  *  * |  0  1  1  0  0
x . o3x   .    ♦   6 |   3   6   0 |   0   3   0   2   0   0 |   *   *   * 320   *   *   *  *  * |  1  0  0  1  0
x . o .   x4*c ♦   8 |   4   0   8 |   0   0   4   0   2   0 |   *   *   *   * 240   *   *  *  * |  0  1  0  1  0
x . . x4/3x    ♦  16 |   8   8   8 |   0   4   4   0   0   2 |   *   *   *   *   * 240   *  *  * |  0  0  1  1  0
. o3o3x   .    ♦   4 |   0   6   0 |   0   0   0   4   0   0 |   *   *   *   *   *   * 160  *  * |  1  0  0  0  1
. o3o .   x4*c ♦   8 |   0   0  12 |   0   0   0   0   6   0 |   *   *   *   *   *   *   * 80  * |  0  1  0  0  1
. . o3x4/3x4*c ♦  24 |   0  24  24 |   0   0   0   8   6   6 |   *   *   *   *   *   *   *  * 80 |  0  0  0  1  1
---------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3o3o3x   .    ♦  20 |  30  30   0 |  20  30   0  20   0   0 |   5  10   0  10   0   0   5  0  0 | 32  *  *  *  *
x3o3o .   x4*c ♦  64 |  96   0  96 |  64   0  96   0  48   0 |  16   0  32   0  24   0   0  8  0 |  * 10  *  *  *
x3o . x4/3x    ♦  24 |  24  12  12 |   8  12  12   0   0   3 |   0   4   4   0   0   3   0  0  0 |  *  * 80  *  *
x . o3x4/3x4*c ♦  48 |  24  48  48 |   0  24  24  16  12  12 |   0   0   0   8   6   6   0  0  2 |  *  *  * 40  *
. o3o3x4/3x4*c ♦  64 |   0  96  96 |   0   0   0  64  48  24 |   0   0   0   0   0   0  16  8  8 |  *  *  *  * 10

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

x3o3/2o3/2x4/3x4/3*c

. .   .   .   .      | 640 |   3   3   3 |   3   6   6   3   3   3 |   1   3   3   3   3   6   1  1  3 |  1  1  3  3  1
---------------------+-----+-------------+-------------------------+-----------------------------------+---------------
x .   .   .   .      |   2 | 960   *   * |   2   2   2   0   0   0 |   1   2   2   1   1   2   0  0  0 |  1  1  2  1  0
. .   .   x   .      |   2 |   * 960   * |   0   2   0   2   0   1 |   0   1   0   2   0   2   1  0  2 |  1  0  1  2  1
. .   .   .   x      |   2 |   *   * 960 |   0   0   2   0   2   1 |   0   0   1   0   2   2   0  1  2 |  0  1  1  2  1
---------------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3o   .   .   .      |   3 |   3   0   0 | 640   *   *   *   *   * |   1   1   1   0   0   0   0  0  0 |  1  1  1  0  0
x .   .   x   .      |   4 |   2   2   0 |   * 960   *   *   *   * |   0   1   0   1   0   1   0  0  0 |  1  0  1  1  0
x .   .   .   x      |   4 |   2   0   2 |   *   * 960   *   *   * |   0   0   1   0   1   1   0  0  0 |  0  1  1  1  0
. .   o3/2x   .      |   3 |   0   3   0 |   *   *   * 640   *   * |   0   0   0   1   0   0   1  0  1 |  1  0  0  1  1
. .   o   .   x4/3*c |   4 |   0   0   4 |   *   *   *   * 480   * |   0   0   0   0   1   0   0  1  1 |  0  1  0  1  1
. .   .   x4/3x      |   8 |   0   4   4 |   *   *   *   *   * 240 |   0   0   0   0   0   2   0  0  2 |  0  0  1  2  1
---------------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3o3/2o   .   .      ♦   4 |   6   0   0 |   4   0   0   0   0   0 | 160   *   *   *   *   *   *  *  * |  1  1  0  0  0
x3o   .   x   .      ♦   6 |   6   3   0 |   2   3   0   0   0   0 |   * 320   *   *   *   *   *  *  * |  1  0  1  0  0
x3o   .   .   x      ♦   6 |   6   0   3 |   2   0   3   0   0   0 |   *   * 320   *   *   *   *  *  * |  0  1  1  0  0
x .   o3/2x   .      ♦   6 |   3   6   0 |   0   3   0   2   0   0 |   *   *   * 320   *   *   *  *  * |  1  0  0  1  0
x .   o   .   x4/3*c ♦   8 |   4   0   8 |   0   0   4   0   2   0 |   *   *   *   * 240   *   *  *  * |  0  1  0  1  0
x .   .   x4/3x      ♦  16 |   8   8   8 |   0   4   4   0   0   2 |   *   *   *   *   * 240   *  *  * |  0  0  1  1  0
. o3/2o3/2x   .      ♦   4 |   0   6   0 |   0   0   0   4   0   0 |   *   *   *   *   *   * 160  *  * |  1  0  0  0  1
. o3/2o   .   x4/3*c ♦   8 |   0   0  12 |   0   0   0   0   6   0 |   *   *   *   *   *   *   * 80  * |  0  1  0  0  1
. .   o3/2x4/3x4/3*c ♦  24 |   0  24  24 |   0   0   0   8   6   6 |   *   *   *   *   *   *   *  * 80 |  0  0  0  1  1
---------------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3o3/2o3/2x   .      ♦  20 |  30  30   0 |  20  30   0  20   0   0 |   5  10   0  10   0   0   5  0  0 | 32  *  *  *  *
x3o3/2o   .   x4/3*c ♦  64 |  96   0  96 |  64   0  96   0  48   0 |  16   0  32   0  24   0   0  8  0 |  * 10  *  *  *
x3o   .   x4/3x      ♦  24 |  24  12  12 |   8  12  12   0   0   3 |   0   4   4   0   0   3   0  0  0 |  *  * 80  *  *
x .   o3/2x4/3x4/3*c ♦  48 |  24  48  48 |   0  24  24  16  12  12 |   0   0   0   8   6   6   0  0  2 |  *  *  * 40  *
. o3/2o3/2x4/3x4/3*c ♦  64 |   0  96  96 |   0   0   0  64  48  24 |   0   0   0   0   0   0  16  8  8 |  *  *  *  * 10

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

x3/2o3/2o3x4/3x4*c

.   .   . .   .    | 640 |   3   3   3 |   3   6   6   3   3   3 |   1   3   3   3   3   6   1  1  3 |  1  1  3  3  1
-------------------+-----+-------------+-------------------------+-----------------------------------+---------------
x   .   . .   .    |   2 | 960   *   * |   2   2   2   0   0   0 |   1   2   2   1   1   2   0  0  0 |  1  1  2  1  0
.   .   . x   .    |   2 |   * 960   * |   0   2   0   2   0   1 |   0   1   0   2   0   2   1  0  2 |  1  0  1  2  1
.   .   . .   x    |   2 |   *   * 960 |   0   0   2   0   2   1 |   0   0   1   0   2   2   0  1  2 |  0  1  1  2  1
-------------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3/2o   . .   .    |   3 |   3   0   0 | 640   *   *   *   *   * |   1   1   1   0   0   0   0  0  0 |  1  1  1  0  0
x   .   . x   .    |   4 |   2   2   0 |   * 960   *   *   *   * |   0   1   0   1   0   1   0  0  0 |  1  0  1  1  0
x   .   . .   x    |   4 |   2   0   2 |   *   * 960   *   *   * |   0   0   1   0   1   1   0  0  0 |  0  1  1  1  0
.   .   o3x   .    |   3 |   0   3   0 |   *   *   * 640   *   * |   0   0   0   1   0   0   1  0  1 |  1  0  0  1  1
.   .   o .   x4*c |   4 |   0   0   4 |   *   *   *   * 480   * |   0   0   0   0   1   0   0  1  1 |  0  1  0  1  1
.   .   . x4/3x    |   8 |   0   4   4 |   *   *   *   *   * 240 |   0   0   0   0   0   2   0  0  2 |  0  0  1  2  1
-------------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3/2o3/2o .   .    ♦   4 |   6   0   0 |   4   0   0   0   0   0 | 160   *   *   *   *   *   *  *  * |  1  1  0  0  0
x3/2o   . x   .    ♦   6 |   6   3   0 |   2   3   0   0   0   0 |   * 320   *   *   *   *   *  *  * |  1  0  1  0  0
x3/2o   . .   x    ♦   6 |   6   0   3 |   2   0   3   0   0   0 |   *   * 320   *   *   *   *  *  * |  0  1  1  0  0
x   .   o3x   .    ♦   6 |   3   6   0 |   0   3   0   2   0   0 |   *   *   * 320   *   *   *  *  * |  1  0  0  1  0
x   .   o .   x4*c ♦   8 |   4   0   8 |   0   0   4   0   2   0 |   *   *   *   * 240   *   *  *  * |  0  1  0  1  0
x   .   . x4/3x    ♦  16 |   8   8   8 |   0   4   4   0   0   2 |   *   *   *   *   * 240   *  *  * |  0  0  1  1  0
.   o3/2o3x   .    ♦   4 |   0   6   0 |   0   0   0   4   0   0 |   *   *   *   *   *   * 160  *  * |  1  0  0  0  1
.   o3/2o .   x4*c ♦   8 |   0   0  12 |   0   0   0   0   6   0 |   *   *   *   *   *   *   * 80  * |  0  1  0  0  1
.   .   o3x4/3x4*c ♦  24 |   0  24  24 |   0   0   0   8   6   6 |   *   *   *   *   *   *   *  * 80 |  0  0  0  1  1
-------------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3/2o3/2o3x   .    ♦  20 |  30  30   0 |  20  30   0  20   0   0 |   5  10   0  10   0   0   5  0  0 | 32  *  *  *  *
x3/2o3/2o .   x4*c ♦  64 |  96   0  96 |  64   0  96   0  48   0 |  16   0  32   0  24   0   0  8  0 |  * 10  *  *  *
x3/2o   . x4/3x    ♦  24 |  24  12  12 |   8  12  12   0   0   3 |   0   4   4   0   0   3   0  0  0 |  *  * 80  *  *
x   .   o3x4/3x4*c ♦  48 |  24  48  48 |   0  24  24  16  12  12 |   0   0   0   8   6   6   0  0  2 |  *  *  * 40  *
.   o3/2o3x4/3x4*c ♦  64 |   0  96  96 |   0   0   0  64  48  24 |   0   0   0   0   0   0  16  8  8 |  *  *  *  * 10

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

x3/2o3o3/2x4/3x4/3*c

.   . .   .   .      | 640 |   3   3   3 |   3   6   6   3   3   3 |   1   3   3   3   3   6   1  1  3 |  1  1  3  3  1
---------------------+-----+-------------+-------------------------+-----------------------------------+---------------
x   . .   .   .      |   2 | 960   *   * |   2   2   2   0   0   0 |   1   2   2   1   1   2   0  0  0 |  1  1  2  1  0
.   . .   x   .      |   2 |   * 960   * |   0   2   0   2   0   1 |   0   1   0   2   0   2   1  0  2 |  1  0  1  2  1
.   . .   .   x      |   2 |   *   * 960 |   0   0   2   0   2   1 |   0   0   1   0   2   2   0  1  2 |  0  1  1  2  1
---------------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3/2o .   .   .      |   3 |   3   0   0 | 640   *   *   *   *   * |   1   1   1   0   0   0   0  0  0 |  1  1  1  0  0
x   . .   x   .      |   4 |   2   2   0 |   * 960   *   *   *   * |   0   1   0   1   0   1   0  0  0 |  1  0  1  1  0
x   . .   .   x      |   4 |   2   0   2 |   *   * 960   *   *   * |   0   0   1   0   1   1   0  0  0 |  0  1  1  1  0
.   . o3/2x   .      |   3 |   0   3   0 |   *   *   * 640   *   * |   0   0   0   1   0   0   1  0  1 |  1  0  0  1  1
.   . o   .   x4/3*c |   4 |   0   0   4 |   *   *   *   * 480   * |   0   0   0   0   1   0   0  1  1 |  0  1  0  1  1
.   . .   x4/3x      |   8 |   0   4   4 |   *   *   *   *   * 240 |   0   0   0   0   0   2   0  0  2 |  0  0  1  2  1
---------------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3/2o3o   .   .      ♦   4 |   6   0   0 |   4   0   0   0   0   0 | 160   *   *   *   *   *   *  *  * |  1  1  0  0  0
x3/2o .   x   .      ♦   6 |   6   3   0 |   2   3   0   0   0   0 |   * 320   *   *   *   *   *  *  * |  1  0  1  0  0
x3/2o .   .   x      ♦   6 |   6   0   3 |   2   0   3   0   0   0 |   *   * 320   *   *   *   *  *  * |  0  1  1  0  0
x   . o3/2x   .      ♦   6 |   3   6   0 |   0   3   0   2   0   0 |   *   *   * 320   *   *   *  *  * |  1  0  0  1  0
x   . o   .   x4/3*c ♦   8 |   4   0   8 |   0   0   4   0   2   0 |   *   *   *   * 240   *   *  *  * |  0  1  0  1  0
x   . .   x4/3x      ♦  16 |   8   8   8 |   0   4   4   0   0   2 |   *   *   *   *   * 240   *  *  * |  0  0  1  1  0
.   o3o3/2x   .      ♦   4 |   0   6   0 |   0   0   0   4   0   0 |   *   *   *   *   *   * 160  *  * |  1  0  0  0  1
.   o3o   .   x4/3*c ♦   8 |   0   0  12 |   0   0   0   0   6   0 |   *   *   *   *   *   *   * 80  * |  0  1  0  0  1
.   . o3/2x4/3x4/3*c ♦  24 |   0  24  24 |   0   0   0   8   6   6 |   *   *   *   *   *   *   *  * 80 |  0  0  0  1  1
---------------------+-----+-------------+-------------------------+-----------------------------------+---------------
x3/2o3o3/2x   .      ♦  20 |  30  30   0 |  20  30   0  20   0   0 |   5  10   0  10   0   0   5  0  0 | 32  *  *  *  *
x3/2o3o   .   x4/3*c ♦  64 |  96   0  96 |  64   0  96   0  48   0 |  16   0  32   0  24   0   0  8  0 |  * 10  *  *  *
x3/2o .   x4/3x      ♦  24 |  24  12  12 |   8  12  12   0   0   3 |   0   4   4   0   0   3   0  0  0 |  *  * 80  *  *
x   . o3/2x4/3x4/3*c ♦  48 |  24  48  48 |   0  24  24  16  12  12 |   0   0   0   8   6   6   0  0  2 |  *  *  * 40  *
.   o3o3/2x4/3x4/3*c ♦  64 |   0  96  96 |   0   0   0  64  48  24 |   0   0   0   0   0   0  16  8  8 |  *  *  *  * 10

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