As abstract polytope raktatant is automorph, thereby interchanging the roles of octagons and octagrams, resp. socco and gocco, resp. steth and gittith.

Incidence matrix according to Dynkin symbol

                       _x     
                    _- /|     
                _3- 4/3 |     
             _-     /   |     
  o---3---o<---4---x    3     
             -_     \   |     
                3/2   4 |     
                    -_ \|     
                       -x     

o3o4x4/3x3x3/2*b3*d *c4*e

. . .   . .               | 640 |   3   3   3 |   3   3   3   3   3   3 |  1   1   1  3  3   3  3 |  1  1  1  3
--------------------------+-----+-------------+-------------------------+-------------------------+------------
. . x   . .               |   2 | 960   *   * |   2   0   0   1   1   0 |  1   0   0  2  2   0  1 |  1  1  0  2
. . .   x .               |   2 |   * 960   * |   0   2   0   1   0   1 |  0   1   0  2  0   2  1 |  1  0  1  2
. . .   . x               |   2 |   *   * 960 |   0   0   2   0   1   1 |  0   0   1  0  2   2  1 |  0  1  1  2
--------------------------+-----+-------------+-------------------------+-------------------------+------------
. o4x   . .               |   4 |   4   0   0 | 480   *   *   *   *   * |  1   0   0  1  1   0  0 |  1  1  0  1
. o .   x .   *b3*d       |   3 |   0   3   0 |   * 640   *   *   *   * |  0   1   0  1  0   1  0 |  1  0  1  1
. o .   . x3/2*b          |   3 |   0   0   3 |   *   * 640   *   *   * |  0   0   1  0  1   1  0 |  0  1  1  1
. . x4/3x .               |   8 |   4   4   0 |   *   *   * 240   *   * |  0   0   0  2  0   0  1 |  1  0  0  2  {8/3}
. . x   . x         *c4*e |   8 |   4   0   4 |   *   *   *   * 240   * |  0   0   0  0  2   0  1 |  0  1  0  2  {8}
. . .   x3x               |   6 |   0   3   3 |   *   *   *   *   * 320 |  0   0   0  0  0   2  1 |  0  0  1  2
--------------------------+-----+-------------+-------------------------+-------------------------+------------
o3o4x   . .               ♦   8 |  12   0   0 |   6   0   0   0   0   0 | 80   *   *  *  *   *  * |  1  1  0  0
o3o .   x     *b3*d       ♦   4 |   0   6   0 |   0   4   0   0   0   0 |  * 160   *  *  *   *  * |  1  0  1  0
o3o .   . x3/2*b          ♦   4 |   0   0   6 |   0   0   4   0   0   0 |  *   * 160  *  *   *  * |  0  1  1  0
. o4x4/3x .   *b3*d       ♦  24 |  24  24   0 |   6   8   0   6   0   0 |  *   *   * 80  *   *  * |  1  0  0  1
. o4x   . x3/2*b    *c4*e ♦  24 |  24   0  24 |   6   0   8   0   6   0 |  *   *   *  * 80   *  * |  0  1  0  1
. o .   x3x3/2*b3*d       ♦  12 |   0  12  12 |   0   4   4   0   0   4 |  *   *   *  *  * 160  * |  0  0  1  1
. . x4/3x3x         *c4*e ♦  48 |  24  24  24 |   0   0   0   6   6   8 |  *   *   *  *  *   * 40 |  0  0  0  2
--------------------------+-----+-------------+-------------------------+-------------------------+------------
o3o4x4/3x .   *b3*d       ♦  64 |  96  96   0 |  48  64   0  24   0   0 |  8  16   0  8  0   0  0 | 10  *  *  *
o3o4x   . x3/2*b    *c4*e ♦  64 |  96   0  96 |  48   0  64   0  24   0 |  8   0  16  0  8   0  0 |  * 10  *  *
o3o .   x3x3/2*b3*d       ♦  20 |   0  30  30 |   0  20  20   0   0  10 |  0   5   5  0  0   5  0 |  *  * 32  *
. o4x4/3x3x3/2*b3*d *c4*e ♦ 192 | 192 192 192 |  48  64  64  48  48  64 |  0   0   0  8  8  16  8 |  *  *  * 10

                       _x     
                    _- /|     
                3/2 4/3 |     
             _-     /   |     
  o---3---o<--4/3--x    3     
             -_     \   |     
                -3_   4 |     
                    -_ \|     
                       -x     

o3o4/3x4/3x3x3*b3/2*d *c4*e

. .   .   . .               | 640 |   3   3   3 |   3   3   3   3   3   3 |  1   1   1  3  3   3  3 |  1  1  1  3
----------------------------+-----+-------------+-------------------------+-------------------------+------------
. .   x   . .               |   2 | 960   *   * |   2   0   0   1   1   0 |  1   0   0  2  2   0  1 |  1  1  0  2
. .   .   x .               |   2 |   * 960   * |   0   2   0   1   0   1 |  0   1   0  2  0   2  1 |  1  0  1  2
. .   .   . x               |   2 |   *   * 960 |   0   0   2   0   1   1 |  0   0   1  0  2   2  1 |  0  1  1  2
----------------------------+-----+-------------+-------------------------+-------------------------+------------
. o4/3x   . .               |   4 |   4   0   0 | 480   *   *   *   *   * |  1   0   0  1  1   0  0 |  1  1  0  1
. o   .   x . *b3/2*d       |   3 |   0   3   0 |   * 640   *   *   *   * |  0   1   0  1  0   1  0 |  1  0  1  1
. o   .   . x3*b            |   3 |   0   0   3 |   *   * 640   *   *   * |  0   0   1  0  1   1  0 |  0  1  1  1
. .   x4/3x .               |   8 |   4   4   0 |   *   *   * 240   *   * |  0   0   0  2  0   0  1 |  1  0  0  2  {8/3}
. .   x   . x         *c4*e |   8 |   4   0   4 |   *   *   *   * 240   * |  0   0   0  0  2   0  1 |  0  1  0  2  {8}
. .   .   x3x               |   6 |   0   3   3 |   *   *   *   *   * 320 |  0   0   0  0  0   2  1 |  0  0  1  2
----------------------------+-----+-------------+-------------------------+-------------------------+------------
o3o4/3x   . .               ♦   8 |  12   0   0 |   6   0   0   0   0   0 | 80   *   *  *  *   *  * |  1  1  0  0
o3o   .   x   *b3/2*d       ♦   4 |   0   6   0 |   0   4   0   0   0   0 |  * 160   *  *  *   *  * |  1  0  1  0
o3o   .   . x3*b            ♦   4 |   0   0   6 |   0   0   4   0   0   0 |  *   * 160  *  *   *  * |  0  1  1  0
. o4/3x4/3x . *b3/2*d       ♦  24 |  24  24   0 |   6   8   0   6   0   0 |  *   *   * 80  *   *  * |  1  0  0  1
. o4/3x   . x3*b      *c4*e ♦  24 |  24   0  24 |   6   0   8   0   6   0 |  *   *   *  * 80   *  * |  0  1  0  1
. o   .   x3x3*b3/2*d       ♦  12 |   0  12  12 |   0   4   4   0   0   4 |  *   *   *  *  * 160  * |  0  0  1  1
. .   x4/3x3x         *c4*e ♦  48 |  24  24  24 |   0   0   0   6   6   8 |  *   *   *  *  *   * 40 |  0  0  0  2
----------------------------+-----+-------------+-------------------------+-------------------------+------------
o3o4/3x4/3x . *b3/2*d       ♦  64 |  96  96   0 |  48  64   0  24   0   0 |  8  16   0  8  0   0  0 | 10  *  *  *
o3o4/3x   . x3*b      *c4*e ♦  64 |  96   0  96 |  48   0  64   0  24   0 |  8   0  16  0  8   0  0 |  * 10  *  *
o3o   .   x3x3*b3/2*d       ♦  20 |   0  30  30 |   0  20  20   0   0  10 |  0   5   5  0  0   5  0 |  *  * 32  *
. o4/3x4/3x3x3*b3/2*d *c4*e ♦ 192 | 192 192 192 |  48  64  64  48  48  64 |  0   0   0  8  8  16  8 |  *  *  * 10

                       _x     
                    _- /|     
                _3- 4/3 |     
             _-     /   |     
  o--3/2--o<---4---x    3     
             -_     \   |     
                3/2   4 |     
                    -_ \|     
                       -x     

o3/2o4x4/3x3x3/2*b3*d *c4*e

.   . .   . .               | 640 |   3   3   3 |   3   3   3   3   3   3 |  1   1   1  3  3   3  3 |  1  1  1  3
----------------------------+-----+-------------+-------------------------+-------------------------+------------
.   . x   . .               |   2 | 960   *   * |   2   0   0   1   1   0 |  1   0   0  2  2   0  1 |  1  1  0  2
.   . .   x .               |   2 |   * 960   * |   0   2   0   1   0   1 |  0   1   0  2  0   2  1 |  1  0  1  2
.   . .   . x               |   2 |   *   * 960 |   0   0   2   0   1   1 |  0   0   1  0  2   2  1 |  0  1  1  2
----------------------------+-----+-------------+-------------------------+-------------------------+------------
.   o4x   . .               |   4 |   4   0   0 | 480   *   *   *   *   * |  1   0   0  1  1   0  0 |  1  1  0  1
.   o .   x .   *b3*d       |   3 |   0   3   0 |   * 640   *   *   *   * |  0   1   0  1  0   1  0 |  1  0  1  1
.   o .   . x3/2*b          |   3 |   0   0   3 |   *   * 640   *   *   * |  0   0   1  0  1   1  0 |  0  1  1  1
.   . x4/3x .               |   8 |   4   4   0 |   *   *   * 240   *   * |  0   0   0  2  0   0  1 |  1  0  0  2  {8/3}
.   . x   . x         *c4*e |   8 |   4   0   4 |   *   *   *   * 240   * |  0   0   0  0  2   0  1 |  0  1  0  2  {8}
.   . .   x3x               |   6 |   0   3   3 |   *   *   *   *   * 320 |  0   0   0  0  0   2  1 |  0  0  1  2
----------------------------+-----+-------------+-------------------------+-------------------------+------------
o3/2o4x   . .               ♦   8 |  12   0   0 |   6   0   0   0   0   0 | 80   *   *  *  *   *  * |  1  1  0  0
o3/2o .   x     *b3*d       ♦   4 |   0   6   0 |   0   4   0   0   0   0 |  * 160   *  *  *   *  * |  1  0  1  0
o3/2o .   . x3/2*b          ♦   4 |   0   0   6 |   0   0   4   0   0   0 |  *   * 160  *  *   *  * |  0  1  1  0
.   o4x4/3x .   *b3*d       ♦  24 |  24  24   0 |   6   8   0   6   0   0 |  *   *   * 80  *   *  * |  1  0  0  1
.   o4x   . x3/2*b    *c4*e ♦  24 |  24   0  24 |   6   0   8   0   6   0 |  *   *   *  * 80   *  * |  0  1  0  1
.   o .   x3x3/2*b3*d       ♦  12 |   0  12  12 |   0   4   4   0   0   4 |  *   *   *  *  * 160  * |  0  0  1  1
.   . x4/3x3x         *c4*e ♦  48 |  24  24  24 |   0   0   0   6   6   8 |  *   *   *  *  *   * 40 |  0  0  0  2
----------------------------+-----+-------------+-------------------------+-------------------------+------------
o3/2o4x4/3x .   *b3*d       ♦  64 |  96  96   0 |  48  64   0  24   0   0 |  8  16   0  8  0   0  0 | 10  *  *  *
o3/2o4x   . x3/2*b    *c4*e ♦  64 |  96   0  96 |  48   0  64   0  24   0 |  8   0  16  0  8   0  0 |  * 10  *  *
o3/2o .   x3x3/2*b3*d       ♦  20 |   0  30  30 |   0  20  20   0   0  10 |  0   5   5  0  0   5  0 |  *  * 32  *
.   o4x4/3x3x3/2*b3*d *c4*e ♦ 192 | 192 192 192 |  48  64  64  48  48  64 |  0   0   0  8  8  16  8 |  *  *  * 10

                       _x     
                    _- /|     
                3/2 4/3 |     
             _-     /   |     
  o--3/2--o<--4/3--x    3     
             -_     \   |     
                -3_   4 |     
                    -_ \|     
                       -x     

o3/2o4/3x4/3x3x3*b3/2*d *c4*e

.   .   .   . .               | 640 |   3   3   3 |   3   3   3   3   3   3 |  1   1   1  3  3   3  3 |  1  1  1  3
------------------------------+-----+-------------+-------------------------+-------------------------+------------
.   .   x   . .               |   2 | 960   *   * |   2   0   0   1   1   0 |  1   0   0  2  2   0  1 |  1  1  0  2
.   .   .   x .               |   2 |   * 960   * |   0   2   0   1   0   1 |  0   1   0  2  0   2  1 |  1  0  1  2
.   .   .   . x               |   2 |   *   * 960 |   0   0   2   0   1   1 |  0   0   1  0  2   2  1 |  0  1  1  2
------------------------------+-----+-------------+-------------------------+-------------------------+------------
.   o4/3x   . .               |   4 |   4   0   0 | 480   *   *   *   *   * |  1   0   0  1  1   0  0 |  1  1  0  1
.   o   .   x . *b3/2*d       |   3 |   0   3   0 |   * 640   *   *   *   * |  0   1   0  1  0   1  0 |  1  0  1  1
.   o   .   . x3*b            |   3 |   0   0   3 |   *   * 640   *   *   * |  0   0   1  0  1   1  0 |  0  1  1  1
.   .   x4/3x .               |   8 |   4   4   0 |   *   *   * 240   *   * |  0   0   0  2  0   0  1 |  1  0  0  2  {8/3}
.   .   x   . x         *c4*e |   8 |   4   0   4 |   *   *   *   * 240   * |  0   0   0  0  2   0  1 |  0  1  0  2  {8}
.   .   .   x3x               |   6 |   0   3   3 |   *   *   *   *   * 320 |  0   0   0  0  0   2  1 |  0  0  1  2
------------------------------+-----+-------------+-------------------------+-------------------------+------------
o3/2o4/3x   . .               ♦   8 |  12   0   0 |   6   0   0   0   0   0 | 80   *   *  *  *   *  * |  1  1  0  0
o3/2o   .   x   *b3/2*d       ♦   4 |   0   6   0 |   0   4   0   0   0   0 |  * 160   *  *  *   *  * |  1  0  1  0
o3/2o   .   . x3*b            ♦   4 |   0   0   6 |   0   0   4   0   0   0 |  *   * 160  *  *   *  * |  0  1  1  0
.   o4/3x4/3x . *b3/2*d       ♦  24 |  24  24   0 |   6   8   0   6   0   0 |  *   *   * 80  *   *  * |  1  0  0  1
.   o4/3x   . x3*b      *c4*e ♦  24 |  24   0  24 |   6   0   8   0   6   0 |  *   *   *  * 80   *  * |  0  1  0  1
.   o   .   x3x3*b3/2*d       ♦  12 |   0  12  12 |   0   4   4   0   0   4 |  *   *   *  *  * 160  * |  0  0  1  1
.   .   x4/3x3x         *c4*e ♦  48 |  24  24  24 |   0   0   0   6   6   8 |  *   *   *  *  *   * 40 |  0  0  0  2
------------------------------+-----+-------------+-------------------------+-------------------------+------------
o3/2o4/3x4/3x . *b3/2*d       ♦  64 |  96  96   0 |  48  64   0  24   0   0 |  8  16   0  8  0   0  0 | 10  *  *  *
o3/2o4/3x   . x3*b      *c4*e ♦  64 |  96   0  96 |  48   0  64   0  24   0 |  8   0  16  0  8   0  0 |  * 10  *  *
o3/2o   .   x3x3*b3/2*d       ♦  20 |   0  30  30 |   0  20  20   0   0  10 |  0   5   5  0  0   5  0 |  *  * 32  *
.   o4/3x4/3x3x3*b3/2*d *c4*e ♦ 192 | 192 192 192 |  48  64  64  48  48  64 |  0   0   0  8  8  16  8 |  *  *  * 10