Acronym gipthi
Name great prismatotriakishecatonicosachoron
Circumradius sqrt[8+2 sqrt(5)] = 3.531591
Colonel of regiment quippirfix
External
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As abstract polytope gipthi is isomorphic to sipthi, thereby interchanging the roles of decagons and decagrams and replacing the pentagons by pentagrams, respectively replacing quit sissid by tigid and saddid by gaddid. – As such gipthi is a lieutenant.


Incidence matrix according to Dynkin symbol

x5/3x5o3/2x5*b

.   . .   .    | 7200 |    1    2    2 |    2    2    1    2    1 |   1   2    1   1
---------------+------+----------------+--------------------------+-----------------
x   . .   .    |    2 | 3600    *    * |    2    2    0    0    0 |   1   2    1   0
.   x .   .    |    2 |    * 7200    * |    1    0    1    1    0 |   1   1    0   1
.   . .   x    |    2 |    *    * 7200 |    0    1    0    1    1 |   0   1    1   1
---------------+------+----------------+--------------------------+-----------------
x5/3x .   .    |   10 |    5    5    0 | 1440    *    *    *    * |   1   1    0   0
x   . .   x    |    4 |    2    0    2 |    * 3600    *    *    * |   0   1    1   0
.   x5o   .    |    5 |    0    5    0 |    *    * 1440    *    * |   1   0    0   1
.   x .   x5*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1    0   1
.   . o3/2x    |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
---------------+------+----------------+--------------------------+-----------------
x5/3x5o   .       60 |   30   60    0 |   12    0   12    0    0 | 120   *    *   *
x5/3x .   x5*b   120 |   60   60   60 |   12   30    0   12    0 |   * 120    *   *
x   . o3/2x        6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
.   x5o3/2x5*b    60 |    0   60   60 |    0    0   12   12   20 |   *   *    * 120

x5/3x5/4o3x5*b

.   .   . .    | 7200 |    1    2    2 |    2    2    1    2    1 |   1   2    1   1
---------------+------+----------------+--------------------------+-----------------
x   .   . .    |    2 | 3600    *    * |    2    2    0    0    0 |   1   2    1   0
.   x   . .    |    2 |    * 7200    * |    1    0    1    1    0 |   1   1    0   1
.   .   . x    |    2 |    *    * 7200 |    0    1    0    1    1 |   0   1    1   1
---------------+------+----------------+--------------------------+-----------------
x5/3x   . .    |   10 |    5    5    0 | 1440    *    *    *    * |   1   1    0   0
x   .   . x    |    4 |    2    0    2 |    * 3600    *    *    * |   0   1    1   0
.   x5/4o .    |    5 |    0    5    0 |    *    * 1440    *    * |   1   0    0   1
.   x   . x5*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1    0   1
.   .   o3x    |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
---------------+------+----------------+--------------------------+-----------------
x5/3x5/4o .       60 |   30   60    0 |   12    0   12    0    0 | 120   *    *   *
x5/3x   . x5*b   120 |   60   60   60 |   12   30    0   12    0 |   * 120    *   *
x   .   o3x        6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
.   x5/4o3x5*b    60 |    0   60   60 |    0    0   12   12   20 |   *   *    * 120

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