Acronym dahitady
Name dishecatonicositruncated dishecatonicosachoron
Circumradius sqrt[(23-5 sqrt(5))/2] = 2.431014
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: idtid tiggy tigid
dahitady 120120120
)
Face vector 7200, 14400, 6000, 360
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope dahitady is isomorphic to dahiquatady, thereby replacing pentagrams by pentagons, and interchanging the roles of decagons and decagrams, respectively replacing tiggy by ti and tigid by quit sissid.


Incidence matrix according to Dynkin symbol

o5/2x3x5/3x5*b

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

o5/3x3x5/3x5*b

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

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