Acronym grawvathi
Name great retrosphenoverted triakishecatonicosachoron
Circumradius sqrt[(11+sqrt(5))/2] = 2.572554
Colonel of regiment swav ditathi
External
links
hedrondude   WikiChoron  

As abstract polytope grawvathi is isomorphic to swavathi, thereby replacing pentagons by pentagrams, respectively ti by tiggy, id by gid, and giid by siid. – As such grawvathi is a lieutenant.


Incidence matrix according to Dynkin symbol

o5x3x5o3/2*b

. . . .      | 3600 |    4    2 |    2    4    2   1 |   2   1   2
-------------+------+-----------+--------------------+------------
. x . .      |    2 | 7200    * |    1    1    1   0 |   1   1   1
. . x .      |    2 |    * 3600 |    0    2    0   1 |   1   0   2
-------------+------+-----------+--------------------+------------
o5x . .      |    5 |    5    0 | 1440    *    *   * |   1   1   0
. x3x .      |    6 |    3    3 |    * 2400    *   * |   1   0   1
. x . o3/2*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
. . x5o      |    5 |    0    5 |    *    *    * 720 |   0   0   2
-------------+------+-----------+--------------------+------------
o5x3x .         60 |   60   30 |   12   20    0   0 | 120   *   *
o5x . o3/2*b    30 |   60    0 |   12    0   20   0 |   * 120   *
. x3x5o3/2*b    60 |   60   60 |    0   20   20  12 |   *   * 120

o5x3x5/4o3*b

. . .   .    | 3600 |    4    2 |    2    4    2   1 |   2   1   2
-------------+------+-----------+--------------------+------------
. x .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
. . x   .    |    2 |    * 3600 |    0    2    0   1 |   1   0   2
-------------+------+-----------+--------------------+------------
o5x .   .    |    5 |    5    0 | 1440    *    *   * |   1   1   0
. x3x   .    |    6 |    3    3 |    * 2400    *   * |   1   0   1
. x .   o3*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
. . x5/4o    |    5 |    0    5 |    *    *    * 720 |   0   0   2
-------------+------+-----------+--------------------+------------
o5x3x   .       60 |   60   30 |   12   20    0   0 | 120   *   *
o5x .   o3*b    30 |   60    0 |   12    0   20   0 |   * 120   *
. x3x5/4o3*b    60 |   60   60 |    0   20   20  12 |   *   * 120

o5/4x3x5o3/2*b

.   . . .      | 3600 |    4    2 |    2    4    2   1 |   2   1   2
---------------+------+-----------+--------------------+------------
.   x . .      |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   . x .      |    2 |    * 3600 |    0    2    0   1 |   1   0   2
---------------+------+-----------+--------------------+------------
o5/4x . .      |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3x .      |    6 |    3    3 |    * 2400    *   * |   1   0   1
.   x . o3/2*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
.   . x5o      |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5/4x3x .         60 |   60   30 |   12   20    0   0 | 120   *   *
o5/4x . o3/2*b    30 |   60    0 |   12    0   20   0 |   * 120   *
.   x3x5o3/2*b    60 |   60   60 |    0   20   20  12 |   *   * 120

o5/4x3x5/4o3*b

.   . .   .    | 3600 |    4    2 |    2    4    2   1 |   2   1   2
---------------+------+-----------+--------------------+------------
.   x .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   . x   .    |    2 |    * 3600 |    0    2    0   1 |   1   0   2
---------------+------+-----------+--------------------+------------
o5/4x .   .    |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3x   .    |    6 |    3    3 |    * 2400    *   * |   1   0   1
.   x .   o3*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
.   . x5/4o    |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5/4x3x   .       60 |   60   30 |   12   20    0   0 | 120   *   *
o5/4x .   o3*b    30 |   60    0 |   12    0   20   0 |   * 120   *
.   x3x5/4o3*b    60 |   60   60 |    0   20   20  12 |   *   * 120

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