Acronym sedit pathi Name small exoditetrahedronary prismatotriakishecatonicosachoron Circumradius sqrt[3+sqrt(5)] = 2.288246 General of army hi Colonel of regiment sidtaxhi Confer blends: siddit paxhi   sidtaxady

As abstract polytope sedit pathi is isomorphic to gaedit pathi, thereby replacing pentagons by pentagrams, resp. doe by gissid, pip by stip, srid by qrid, and gidtid by sidtid.

This exotic polychoron has vertices coincident by 4, so that the axial vertex figures fx3/2of&#q becomes a ditetrahedral compound, edges coincide by 3, and both types of pentagons coincide one by one.

It also can be obtained as blend of siddit paxhi with sidtaxady, blending out the tet.

Incidence matrix according to Dynkin symbol

x5o3o5/4x3*b

. . .   .    | 2400 |    3    6 |    3    6    3    3 |   1   3   3   1
-------------+------+-----------+---------------------+----------------
x . .   .    |    2 | 3600    * |    2    2    0    0 |   1   2   1   0
. . .   x    |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
-------------+------+-----------+---------------------+----------------
x5o .   .    |    5 |    5    0 | 1440    *    *    * |   1   1   0   0
x . .   x    |    4 |    2    2 |    * 3600    *    * |   0   1   1   0
. o .   x3*b |    3 |    0    3 |    *    * 2400    * |   0   1   0   1
. . o5/4x    |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------+------+-----------+---------------------+----------------
x5o3o   .       20 |   30    0 |   12    0    0    0 | 120   *   *   *
x5o .   x3*b    60 |   60   60 |   12   30   20    0 |   * 120   *   *
x . o5/4x       10 |    5   10 |    0    5    0    2 |   *   * 720   *
. o3o5/4x3*b    20 |    0   60 |    0    0   20   12 |   *   *   * 120

x5o3/2o5x3*b

. .   . .    | 2400 |    3    6 |    3    6    3    3 |   1   3   3   1
-------------+------+-----------+---------------------+----------------
x .   . .    |    2 | 3600    * |    2    2    0    0 |   1   2   1   0
. .   . x    |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
-------------+------+-----------+---------------------+----------------
x5o   . .    |    5 |    5    0 | 1440    *    *    * |   1   1   0   0
x .   . x    |    4 |    2    2 |    * 3600    *    * |   0   1   1   0
. o   . x3*b |    3 |    0    3 |    *    * 2400    * |   0   1   0   1
. .   o5x    |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------+------+-----------+---------------------+----------------
x5o3/2o .       20 |   30    0 |   12    0    0    0 | 120   *   *   *
x5o   . x3*b    60 |   60   60 |   12   30   20    0 |   * 120   *   *
x .   o5x       10 |    5   10 |    0    5    0    2 |   *   * 720   *
. o3/2o5x3*b    20 |    0   60 |    0    0   20   12 |   *   *   * 120

x5/4o3o5x3/2*b

.   . . .      | 2400 |    3    6 |    3    6    3    3 |   1   3   3   1
---------------+------+-----------+---------------------+----------------
x   . . .      |    2 | 3600    * |    2    2    0    0 |   1   2   1   0
.   . . x      |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
---------------+------+-----------+---------------------+----------------
x5/4o . .      |    5 |    5    0 | 1440    *    *    * |   1   1   0   0
x   . . x      |    4 |    2    2 |    * 3600    *    * |   0   1   1   0
.   o . x3/2*b |    3 |    0    3 |    *    * 2400    * |   0   1   0   1
.   . o5x      |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
---------------+------+-----------+---------------------+----------------
x5/4o3o .         20 |   30    0 |   12    0    0    0 | 120   *   *   *
x5/4o . x3/2*b    60 |   60   60 |   12   30   20    0 |   * 120   *   *
x   . o5x         10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3o5x3/2*b    20 |    0   60 |    0    0   20   12 |   *   *   * 120

x5/4o3/2o5/4x3/2*b

.   .   .   .      | 2400 |    3    6 |    3    6    3    3 |   1   3   3   1
-------------------+------+-----------+---------------------+----------------
x   .   .   .      |    2 | 3600    * |    2    2    0    0 |   1   2   1   0
.   .   .   x      |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
-------------------+------+-----------+---------------------+----------------
x5/4o   .   .      |    5 |    5    0 | 1440    *    *    * |   1   1   0   0
x   .   .   x      |    4 |    2    2 |    * 3600    *    * |   0   1   1   0
.   o   .   x3/2*b |    3 |    0    3 |    *    * 2400    * |   0   1   0   1
.   .   o5/4x      |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------------+------+-----------+---------------------+----------------
x5/4o3/2o   .         20 |   30    0 |   12    0    0    0 | 120   *   *   *
x5/4o   .   x3/2*b    60 |   60   60 |   12   30   20    0 |   * 120   *   *
x   .   o5/4x         10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3/2o5/4x3/2*b    20 |    0   60 |    0    0   20   12 |   *   *   * 120