Acronym ebdah hithi
Name exoblendic dishemihecatonicostrishecatonicosachoron
Circumradius 2
General of army sidpixhi
Colonel of regiment sabbadipady
Confer
non-Grünbaumian master:
bithi  
general polytopal classes:
Wythoffian polychora  

The exoblendic dishemihecatonicostrishecatonicosachoron can be looked at as bithi, filling in the pseudo idtid as coincident pairs of hemifacets, and reconnecting crosswise. Accordingly not only those idtid but all their subelements come as coincident pairs too. Only those edges, which are represented by the threefold tip of the colonels vertex figure, come coincident by 3. Moreover the vertex figure then disassembles into a compound, which lets have the vertices coincident by 3 as well. Therefore ebdah hithi is fissary.

As abstract polytope ebdah hithi is automorph, thereby interchanging the roles of decagons and decagrams as well as those of pentagons and pentagrams, resp. interchanging the roles of quit sissid and tigid.


Incidence matrix according to Dynkin symbol

x5x5/3x5o5/3*a3*c

. .   . .         | 7200 |    2    1    2 |    2    2    1    2    1 |   2   1   1   1
------------------+------+----------------+--------------------------+----------------
x .   . .         |    2 | 7200    *    * |    1    1    1    0    0 |   1   1   1   0
. x   . .         |    2 |    * 3600    * |    2    0    0    2    0 |   2   1   0   1
. .   x .         |    2 |    *    * 7200 |    0    1    0    1    1 |   1   0   1   1
------------------+------+----------------+--------------------------+----------------
x5x   . .         |   10 |    5    5    0 | 1440    *    *    *    * |   1   1   0   0
x .   x .   *a3*c |    6 |    3    0    3 |    * 2400    *    *    * |   1   0   1   0
x .   . o5/3*a    |    5 |    5    0    0 |    *    * 1440    *    * |   0   1   1   0
. x5/3x .         |   10 |    0    5    5 |    *    *    * 1440    * |   1   0   0   1
. .   x5o         |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
------------------+------+----------------+--------------------------+----------------
x5x5/3x .   *a3*c   120 |   60   60   60 |   12   20    0   12    0 | 120   *   *   *
x5x   . o5/3*a       60 |   60   30    0 |   12    0   12    0    0 |   * 120   *   *
x .   x5o5/3*a3*c    60 |   60    0   60 |    0   20   12    0   12 |   *   * 120   *
. x5/3x5o            60 |    0   30   60 |    0    0    0   12   12 |   *   *   * 120

x5x5/3x5/4o5/2*a3*c

. .   .   .         | 7200 |    2    1    2 |    2    2    1    2    1 |   2   1   1   1
--------------------+------+----------------+--------------------------+----------------
x .   .   .         |    2 | 7200    *    * |    1    1    1    0    0 |   1   1   1   0
. x   .   .         |    2 |    * 3600    * |    2    0    0    2    0 |   2   1   0   1
. .   x   .         |    2 |    *    * 7200 |    0    1    0    1    1 |   1   0   1   1
--------------------+------+----------------+--------------------------+----------------
x5x   .   .         |   10 |    5    5    0 | 1440    *    *    *    * |   1   1   0   0
x .   x   .   *a3*c |    6 |    3    0    3 |    * 2400    *    *    * |   1   0   1   0
x .   .   o5/2*a    |    5 |    5    0    0 |    *    * 1440    *    * |   0   1   1   0
. x5/3x   .         |   10 |    0    5    5 |    *    *    * 1440    * |   1   0   0   1
. .   x5/4o         |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
--------------------+------+----------------+--------------------------+----------------
x5x5/3x   .   *a3*c   120 |   60   60   60 |   12   20    0   12    0 | 120   *   *   *
x5x   .   o5/2*a       60 |   60   30    0 |   12    0   12    0    0 |   * 120   *   *
x .   x5/4o5/2*a3*c    60 |   60    0   60 |    0   20   12    0   12 |   *   * 120   *
. x5/3x5/4o            60 |    0   30   60 |    0    0    0   12   12 |   *   *   * 120

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