gikvacadint

Acronym

gikvacadint

Name

great skewverted cellidispenteractitriacontiditeron

Circumradius

sqrt[11-2 sqrt(2)]/2 = 1.429298

Coordinates

(1+sqrt(2), sqrt(2)-1, 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	qrit	quithip	rawvtip	skiviphado	srip	thaquitoth	todip	tuttip	wavitoth
gakvebidant	10	0	0	10	0	0	0	32	0	80	0	0
gakevatant	0	10	0	0	0	32	0	0	10	0	0	10
gokvactaden	0	0	10	10	0	32	0	0	0	0	80	0
gikvacadint	0	0	0	0	40	0	10	32	0	0	0	10

& others)

Face vector

960, 3840, 3760, 1080, 92

Confer

general polytopal classes:: Wythoffian polytera

External
links

As abstract polytope gikvacadint is isomorphic to sikvacadint, thereby replacing octagrams by octagons, resp. sirco by querco, gocco by socco, quith by tic, and stop by op, resp. skiviphado by gikviphado, quithip by ticcup, and wavitoth by rawvatoth.

Incidence matrix according to Dynkin symbol

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

x3o3x3o *b4x4/3*c

. . . .    .      | 960 |   2    4   2 |   1   4   2   2   1   2   4 |   2  1   2   4   1  2  2 |  1  2  2  1
------------------+-----+--------------+-----------------------------+--------------------------+------------
x . . .    .      |   2 | 960    *   * |   1   2   1   0   0   0   0 |   2  1   1   2   0  0  0 |  1  2  1  0
. . x .    .      |   2 |   * 1920   * |   0   1   0   1   0   1   1 |   1  0   1   1   1  1  1 |  1  1  1  1
. . . .    x      |   2 |   *    * 960 |   0   0   1   0   1   0   2 |   0  1   0   2   0  2  1 |  0  2  1  1
------------------+-----+--------------+-----------------------------+--------------------------+------------
x3o . .    .      |   3 |   3    0   0 | 320   *   *   *   *   *   * |   2  1   0   0   0  0  0 |  1  2  0  0
x . x .    .      |   4 |   2    2   0 |   * 960   *   *   *   *   * |   1  0   1   1   0  0  0 |  1  1  1  0
x . . .    x      |   4 |   2    0   2 |   *   * 480   *   *   *   * |   0  1   0   2   0  0  0 |  0  2  1  0
. o3x .    .      |   3 |   0    3   0 |   *   *   * 640   *   *   * |   1  0   0   0   1  1  0 |  1  1  0  1
. o . . *b4x      |   4 |   0    0   4 |   *   *   *   * 240   *   * |   0  1   0   0   0  2  0 |  0  2  0  1
. . x3o    .      |   3 |   0    3   0 |   *   *   *   *   * 640   * |   0  0   1   0   1  0  1 |  1  0  1  1
. . x .    x4/3*c |   8 |   0    4   4 |   *   *   *   *   *   * 480 |   0  0   0   1   0  1  1 |  0  1  1  1  {8/3}
------------------+-----+--------------+-----------------------------+--------------------------+------------
x3o3x .    .      ♦  12 |  12   12   0 |   4   6   0   4   0   0   0 | 160  *   *   *   *  *  * |  1  1  0  0
x3o . . *b4x      ♦  24 |  24    0  24 |   8   0  12   0   6   0   0 |   * 40   *   *   *  *  * |  0  2  0  0
x . x3o    .      ♦   6 |   3    6   0 |   0   3   0   0   0   2   0 |   *  * 320   *   *  *  * |  1  0  1  0
x . x .    x4/3*c ♦  16 |   8    8   8 |   0   4   4   0   0   0   2 |   *  *   * 240   *  *  * |  0  1  1  0
. o3x3o    .      ♦   6 |   0   12   0 |   0   0   0   4   0   4   0 |   *  *   *   * 160  *  * |  1  0  0  1
. o3x . *b4x4/3*c ♦  24 |   0   24  24 |   0   0   0   8   6   0   6 |   *  *   *   *   * 80  * |  0  1  0  1
. . x3o    x4/3*c ♦  24 |   0   24  12 |   0   0   0   0   0   8   6 |   *  *   *   *   *  * 80 |  0  0  1  1
------------------+-----+--------------+-----------------------------+--------------------------+------------
x3o3x3o    .      ♦  30 |  30   60   0 |  10  30   0  20   0  20   0 |   5  0  10   0   5  0  0 | 32  *  *  *
x3o3x . *b4x4/3*c ♦ 192 | 192  192 192 |  64  96  96  64  48   0  48 |  16  8   0  24   0  8  0 |  * 10  *  *
x . x3o    x4/3*c ♦  48 |  24   48  24 |   0  24  12   0   0  16  12 |   0  0   8   6   0  0  2 |  *  * 40  *
. o3x3o *b4x4/3*c ♦  96 |   0  192  96 |   0   0   0  64  24  64  48 |   0  0   0   0  16  8  8 |  *  *  * 10

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

x3o3x3/2o *b4x4/3*c

. . .   .    .      | 960 |   2    4   2 |   1   4   2   2   1   2   4 |   2  1   2   4   1  2  2 |  1  2  2  1
--------------------+-----+--------------+-----------------------------+--------------------------+------------
x . .   .    .      |   2 | 960    *   * |   1   2   1   0   0   0   0 |   2  1   1   2   0  0  0 |  1  2  1  0
. . x   .    .      |   2 |   * 1920   * |   0   1   0   1   0   1   1 |   1  0   1   1   1  1  1 |  1  1  1  1
. . .   .    x      |   2 |   *    * 960 |   0   0   1   0   1   0   2 |   0  1   0   2   0  2  1 |  0  2  1  1
--------------------+-----+--------------+-----------------------------+--------------------------+------------
x3o .   .    .      |   3 |   3    0   0 | 320   *   *   *   *   *   * |   2  1   0   0   0  0  0 |  1  2  0  0
x . x   .    .      |   4 |   2    2   0 |   * 960   *   *   *   *   * |   1  0   1   1   0  0  0 |  1  1  1  0
x . .   .    x      |   4 |   2    0   2 |   *   * 480   *   *   *   * |   0  1   0   2   0  0  0 |  0  2  1  0
. o3x   .    .      |   3 |   0    3   0 |   *   *   * 640   *   *   * |   1  0   0   0   1  1  0 |  1  1  0  1
. o .   . *b4x      |   4 |   0    0   4 |   *   *   *   * 240   *   * |   0  1   0   0   0  2  0 |  0  2  0  1
. . x3/2o    .      |   3 |   0    3   0 |   *   *   *   *   * 640   * |   0  0   1   0   1  0  1 |  1  0  1  1
. . x   .    x4/3*c |   8 |   0    4   4 |   *   *   *   *   *   * 480 |   0  0   0   1   0  1  1 |  0  1  1  1  {8/3}
--------------------+-----+--------------+-----------------------------+--------------------------+------------
x3o3x   .    .      ♦  12 |  12   12   0 |   4   6   0   4   0   0   0 | 160  *   *   *   *  *  * |  1  1  0  0
x3o .   . *b4x      ♦  24 |  24    0  24 |   8   0  12   0   6   0   0 |   * 40   *   *   *  *  * |  0  2  0  0
x . x3/2o    .      ♦   6 |   3    6   0 |   0   3   0   0   0   2   0 |   *  * 320   *   *  *  * |  1  0  1  0
x . x   .    x4/3*c ♦  16 |   8    8   8 |   0   4   4   0   0   0   2 |   *  *   * 240   *  *  * |  0  1  1  0
. o3x3/2o    .      ♦   6 |   0   12   0 |   0   0   0   4   0   4   0 |   *  *   *   * 160  *  * |  1  0  0  1
. o3x   . *b4x4/3*c ♦  24 |   0   24  24 |   0   0   0   8   6   0   6 |   *  *   *   *   * 80  * |  0  1  0  1
. . x3/2o    x4/3*c ♦  24 |   0   24  12 |   0   0   0   0   0   8   6 |   *  *   *   *   *  * 80 |  0  0  1  1
--------------------+-----+--------------+-----------------------------+--------------------------+------------
x3o3x3/2o    .      ♦  30 |  30   60   0 |  10  30   0  20   0  20   0 |   5  0  10   0   5  0  0 | 32  *  *  *
x3o3x   . *b4x4/3*c ♦ 192 | 192  192 192 |  64  96  96  64  48   0  48 |  16  8   0  24   0  8  0 |  * 10  *  *
x . x3/2o    x4/3*c ♦  48 |  24   48  24 |   0  24  12   0   0  16  12 |   0  0   8   6   0  0  2 |  *  * 40  *
. o3x3/2o *b4x4/3*c ♦  96 |   0  192  96 |   0   0   0  64  24  64  48 |   0  0   0   0  16  8  8 |  *  *  * 10

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

x3/2o3/2x3o *b4/3x4/3*c

.   .   . .      .      | 960 |   2    4   2 |   1   4   2   2   1   2   4 |   2  1   2   4   1  2  2 |  1  2  2  1
------------------------+-----+--------------+-----------------------------+--------------------------+------------
x   .   . .      .      |   2 | 960    *   * |   1   2   1   0   0   0   0 |   2  1   1   2   0  0  0 |  1  2  1  0
.   .   x .      .      |   2 |   * 1920   * |   0   1   0   1   0   1   1 |   1  0   1   1   1  1  1 |  1  1  1  1
.   .   . .      x      |   2 |   *    * 960 |   0   0   1   0   1   0   2 |   0  1   0   2   0  2  1 |  0  2  1  1
------------------------+-----+--------------+-----------------------------+--------------------------+------------
x3/2o   . .      .      |   3 |   3    0   0 | 320   *   *   *   *   *   * |   2  1   0   0   0  0  0 |  1  2  0  0
x   .   x .      .      |   4 |   2    2   0 |   * 960   *   *   *   *   * |   1  0   1   1   0  0  0 |  1  1  1  0
x   .   . .      x      |   4 |   2    0   2 |   *   * 480   *   *   *   * |   0  1   0   2   0  0  0 |  0  2  1  0
.   o3/2x .      .      |   3 |   0    3   0 |   *   *   * 640   *   *   * |   1  0   0   0   1  1  0 |  1  1  0  1
.   o   . . *b4/3x      |   4 |   0    0   4 |   *   *   *   * 240   *   * |   0  1   0   0   0  2  0 |  0  2  0  1
.   .   x3o      .      |   3 |   0    3   0 |   *   *   *   *   * 640   * |   0  0   1   0   1  0  1 |  1  0  1  1
.   .   x .      x4/3*c |   8 |   0    4   4 |   *   *   *   *   *   * 480 |   0  0   0   1   0  1  1 |  0  1  1  1  {8/3}
------------------------+-----+--------------+-----------------------------+--------------------------+------------
x3/2o3/2x .      .      ♦  12 |  12   12   0 |   4   6   0   4   0   0   0 | 160  *   *   *   *  *  * |  1  1  0  0
x3/2o   . . *b4/3x      ♦  24 |  24    0  24 |   8   0  12   0   6   0   0 |   * 40   *   *   *  *  * |  0  2  0  0
x   .   x3o      .      ♦   6 |   3    6   0 |   0   3   0   0   0   2   0 |   *  * 320   *   *  *  * |  1  0  1  0
x   .   x .      x4/3*c ♦  16 |   8    8   8 |   0   4   4   0   0   0   2 |   *  *   * 240   *  *  * |  0  1  1  0
.   o3/2x3o      .      ♦   6 |   0   12   0 |   0   0   0   4   0   4   0 |   *  *   *   * 160  *  * |  1  0  0  1
.   o3/2x . *b4/3x4/3*c ♦  24 |   0   24  24 |   0   0   0   8   6   0   6 |   *  *   *   *   * 80  * |  0  1  0  1
.   .   x3o      x4/3*c ♦  24 |   0   24  12 |   0   0   0   0   0   8   6 |   *  *   *   *   *  * 80 |  0  0  1  1
------------------------+-----+--------------+-----------------------------+--------------------------+------------
x3/2o3/2x3o      .      ♦  30 |  30   60   0 |  10  30   0  20   0  20   0 |   5  0  10   0   5  0  0 | 32  *  *  *
x3/2o3/2x . *b4/3x4/3*c ♦ 192 | 192  192 192 |  64  96  96  64  48   0  48 |  16  8   0  24   0  8  0 |  * 10  *  *
x   .   x3o      x4/3*c ♦  48 |  24   48  24 |   0  24  12   0   0  16  12 |   0  0   8   6   0  0  2 |  *  * 40  *
.   o3/2x3o *b4/3x4/3*c ♦  96 |   0  192  96 |   0   0   0  64  24  64  48 |   0  0   0   0  16  8  8 |  *  *  * 10

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

x3/2o3/2x3/2o *b4/3x4/3*c

.   .   .   .      .      | 960 |   2    4   2 |   1   4   2   2   1   2   4 |   2  1   2   4   1  2  2 |  1  2  2  1
--------------------------+-----+--------------+-----------------------------+--------------------------+------------
x   .   .   .      .      |   2 | 960    *   * |   1   2   1   0   0   0   0 |   2  1   1   2   0  0  0 |  1  2  1  0
.   .   x   .      .      |   2 |   * 1920   * |   0   1   0   1   0   1   1 |   1  0   1   1   1  1  1 |  1  1  1  1
.   .   .   .      x      |   2 |   *    * 960 |   0   0   1   0   1   0   2 |   0  1   0   2   0  2  1 |  0  2  1  1
--------------------------+-----+--------------+-----------------------------+--------------------------+------------
x3/2o   .   .      .      |   3 |   3    0   0 | 320   *   *   *   *   *   * |   2  1   0   0   0  0  0 |  1  2  0  0
x   .   x   .      .      |   4 |   2    2   0 |   * 960   *   *   *   *   * |   1  0   1   1   0  0  0 |  1  1  1  0
x   .   .   .      x      |   4 |   2    0   2 |   *   * 480   *   *   *   * |   0  1   0   2   0  0  0 |  0  2  1  0
.   o3/2x   .      .      |   3 |   0    3   0 |   *   *   * 640   *   *   * |   1  0   0   0   1  1  0 |  1  1  0  1
.   o   .   . *b4/3x      |   4 |   0    0   4 |   *   *   *   * 240   *   * |   0  1   0   0   0  2  0 |  0  2  0  1
.   .   x3/2o      .      |   3 |   0    3   0 |   *   *   *   *   * 640   * |   0  0   1   0   1  0  1 |  1  0  1  1
.   .   x   .      x4/3*c |   8 |   0    4   4 |   *   *   *   *   *   * 480 |   0  0   0   1   0  1  1 |  0  1  1  1  {8/3}
--------------------------+-----+--------------+-----------------------------+--------------------------+------------
x3/2o3/2x   .      .      ♦  12 |  12   12   0 |   4   6   0   4   0   0   0 | 160  *   *   *   *  *  * |  1  1  0  0
x3/2o   .   . *b4/3x      ♦  24 |  24    0  24 |   8   0  12   0   6   0   0 |   * 40   *   *   *  *  * |  0  2  0  0
x   .   x3/2o      .      ♦   6 |   3    6   0 |   0   3   0   0   0   2   0 |   *  * 320   *   *  *  * |  1  0  1  0
x   .   x   .      x4/3*c ♦  16 |   8    8   8 |   0   4   4   0   0   0   2 |   *  *   * 240   *  *  * |  0  1  1  0
.   o3/2x3/2o      .      ♦   6 |   0   12   0 |   0   0   0   4   0   4   0 |   *  *   *   * 160  *  * |  1  0  0  1
.   o3/2x   . *b4/3x4/3*c ♦  24 |   0   24  24 |   0   0   0   8   6   0   6 |   *  *   *   *   * 80  * |  0  1  0  1
.   .   x3/2o      x4/3*c ♦  24 |   0   24  12 |   0   0   0   0   0   8   6 |   *  *   *   *   *  * 80 |  0  0  1  1
--------------------------+-----+--------------+-----------------------------+--------------------------+------------
x3/2o3/2x3/2o      .      ♦  30 |  30   60   0 |  10  30   0  20   0  20   0 |   5  0  10   0   5  0  0 | 32  *  *  *
x3/2o3/2x   . *b4/3x4/3*c ♦ 192 | 192  192 192 |  64  96  96  64  48   0  48 |  16  8   0  24   0  8  0 |  * 10  *  *
x   .   x3/2o      x4/3*c ♦  48 |  24   48  24 |   0  24  12   0   0  16  12 |   0  0   8   6   0  0  2 |  *  * 40  *
.   o3/2x3/2o *b4/3x4/3*c ♦  96 |   0  192  96 |   0   0   0  64  24  64  48 |   0  0   0   0  16  8  8 |  *  *  * 10

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