Acronym	siphidy
Name	small prismated hecatonicosadishecatonicosachoron
Circumradius	sqrt[13+5 sqrt(5)] = 4.917351
Colonel of regiment	pirghi
Face vector	7200, 18000, 10320, 1080
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope siphidy is isomorphic to giphidy, thereby replacing the decagons by decagrams and interchanging the roles of pentagons and pentagrams, resp. replacing the tigid by quit sissid, the grid by gaquatid, and the pip by stip.

Incidence matrix according to Dynkin symbol

x5x3x5o5/3*b

. . . .      | 7200 |    1    2    2 |    2    2    2    1    1 |   2   1   1   1
-------------+------+----------------+--------------------------+----------------
x . . .      |    2 | 3600    *    * |    2    2    0    0    0 |   2   1   1   0
. x . .      |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. . x .      |    2 |    *    * 7200 |    0    1    1    0    1 |   1   0   1   1
-------------+------+----------------+--------------------------+----------------
x5x . .      |   10 |    5    5    0 | 1440    *    *    *    * |   1   1   0   0
x . x .      |    4 |    2    0    2 |    * 3600    *    *    * |   1   0   1   0
. x3x .      |    6 |    0    3    3 |    *    * 2400    *    * |   1   0   0   1
. x . o5/3*b |    5 |    0    5    0 |    *    *    * 1440    * |   0   1   0   1
. . x5o      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x5x3x .      ♦  120 |   60   60   60 |   12   30   20    0    0 | 120   *   *   *
x5x . o5/3*b ♦   60 |   30   60    0 |   12    0    0   12    0 |   * 120   *   *
x . x5o      ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5o5/3*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120

x5x3x5/4o5/2*b

. . .   .      | 7200 |    1    2    2 |    2    2    2    1    1 |   2   1   1   1
---------------+------+----------------+--------------------------+----------------
x . .   .      |    2 | 3600    *    * |    2    2    0    0    0 |   2   1   1   0
. x .   .      |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. . x   .      |    2 |    *    * 7200 |    0    1    1    0    1 |   1   0   1   1
---------------+------+----------------+--------------------------+----------------
x5x .   .      |   10 |    5    5    0 | 1440    *    *    *    * |   1   1   0   0
x . x   .      |    4 |    2    0    2 |    * 3600    *    *    * |   1   0   1   0
. x3x   .      |    6 |    0    3    3 |    *    * 2400    *    * |   1   0   0   1
. x .   o5/2*b |    5 |    0    5    0 |    *    *    * 1440    * |   0   1   0   1
. . x5/4o      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
---------------+------+----------------+--------------------------+----------------
x5x3x   .      ♦  120 |   60   60   60 |   12   30   20    0    0 | 120   *   *   *
x5x .   o5/2*b ♦   60 |   30   60    0 |   12    0    0   12    0 |   * 120   *   *
x . x5/4o      ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5/4o5/2*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120