As abstract polytope traquitco is isomorphic to tragirco, thereby replacing octagrams by octagons, resp. replacing stop by op and quitco by girco, resp. replacing tistodip by todip and quitcope by gircope.

Incidence matrix according to Dynkin symbol

x3o x3x4/3x

. . . .   . | 144 |   2  1  1  1 |  1  2  2  2  1  1  1 |  1  1  1  2  2  2 1 | 1  1 1 2
------------+-----+--------------+----------------------+---------------------+---------
x . . .   . |   2 | 144  *  *  * |  1  1  1  1  0  0  0 |  1  1  1  1  1  1 0 | 1  1 1 1
. . x .   . |   2 |   * 72  *  * |  0  2  0  0  1  1  0 |  1  0  0  2  2  0 1 | 1  1 0 2
. . . x   . |   2 |   *  * 72  * |  0  0  2  0  1  0  1 |  0  1  0  2  0  2 1 | 1  0 1 2
. . . .   x |   2 |   *  *  * 72 |  0  0  0  2  0  1  1 |  0  0  1  0  2  2 1 | 0  1 1 2
------------+-----+--------------+----------------------+---------------------+---------
x3o . .   . |   3 |   3  0  0  0 | 48  *  *  *  *  *  * |  1  1  1  0  0  0 0 | 1  1 1 0
x . x .   . |   4 |   2  2  0  0 |  * 72  *  *  *  *  * |  1  0  0  1  1  0 0 | 1  1 0 1
x . . x   . |   4 |   2  0  2  0 |  *  * 72  *  *  *  * |  0  1  0  1  0  1 0 | 1  0 1 1
x . . .   x |   4 |   2  0  0  2 |  *  *  * 72  *  *  * |  0  0  1  0  1  1 0 | 0  1 1 1
. . x3x   . |   6 |   0  3  3  0 |  *  *  *  * 24  *  * |  0  0  0  2  0  0 1 | 1  0 0 2
. . x .   x |   4 |   0  2  0  2 |  *  *  *  *  * 36  * |  0  0  0  0  2  0 1 | 0  1 0 2
. . . x4/3x |   8 |   0  0  4  4 |  *  *  *  *  *  * 18 |  0  0  0  0  0  2 1 | 0  0 1 2
------------+-----+--------------+----------------------+---------------------+---------
x3o x .   . ♦   6 |   6  3  0  0 |  2  3  0  0  0  0  0 | 24  *  *  *  *  * * | 1  1 0 0
x3o . x   . ♦   6 |   6  0  3  0 |  2  0  3  0  0  0  0 |  * 24  *  *  *  * * | 1  0 1 0
x3o . .   x ♦   6 |   6  0  0  3 |  2  0  0  3  0  0  0 |  *  * 24  *  *  * * | 0  1 1 0
x . x3x   . ♦  12 |   6  6  6  0 |  0  3  3  0  2  0  0 |  *  *  * 24  *  * * | 1  0 0 1
x . x .   x ♦   8 |   4  4  0  4 |  0  2  0  2  0  2  0 |  *  *  *  * 36  * * | 0  1 0 1
x . . x4/3x ♦  16 |   8  0  8  8 |  0  0  4  4  0  0  2 |  *  *  *  *  * 18 * | 0  0 1 1
. . x3x4/3x ♦  48 |   0 24 24 24 |  0  0  0  0  8 12  6 |  *  *  *  *  *  * 3 | 0  0 0 2
------------+-----+--------------+----------------------+---------------------+---------
x3o x3x   . ♦  18 |  18  9  9  0 |  6  9  9  0  3  0  0 |  3  3  0  3  0  0 0 | 8  * * *
x3o x .   x ♦  12 |  12  6  0  6 |  4  6  0  6  0  3  0 |  2  0  2  0  3  0 0 | * 12 * *
x3o . x4/3x ♦  24 |  24  0 12 12 |  8  0 12 12  0  0  3 |  0  4  4  0  0  3 0 | *  * 6 *
x . x3x4/3x ♦  96 |  48 48 48 48 |  0 24 24 24 16 24 12 |  0  0  0  8 12  6 2 | *  * * 3