Acronym ...
Name 2sophi (?)
Circumradius sqrt[5+2 sqrt(5)] = 3.077684
General of army rox
Colonel of regiment rox
Confer
non-Grünbaumian master:
sophi  

Looks like a compound of 2 small prismatohecatonicosachora (sophi), and indeed all elements coincide by pairs.

As abstract polytope 2sophi is isomorphic to 2quiphi, thereby replacing pentagons by pentagrams, resp. by replacing pip by stip and gad by sissid.


Incidence matrixDynkin symbol

x5o5/2o5x

. .   . . | 1440 |    5    5 |    5   10    5 |   1   5   5   1
----------+------+-----------+----------------+----------------
x .   . . |    2 | 3600    * |    2    2    0 |   1   2   1   0
. .   . x |    2 |    * 3600 |    0    2    2 |   0   1   2   1
----------+------+-----------+----------------+----------------
x5o   . . |    5 |    5    0 | 1440    *    * |   1   1   0   0
x .   . x |    4 |    2    2 |    * 3600    * |   0   1   1   0
. .   o5x |    5 |    0    5 |    *    * 1440 |   0   0   1   1
----------+------+-----------+----------------+----------------
x5o5/2o .    12 |   30    0 |   12    0    0 | 120   *   *   *
x5o   . x    10 |   10    5 |    2    5    0 |   * 720   *   *
x .   o5x    10 |    5   10 |    0    5    2 |   *   * 720   *
. o5/2o5x    12 |    0   30 |    0    0   12 |   *   *   * 120
or
. .   . .    | 1440 |   10 |   10   10 |   2   10
-------------+------+------+-----------+---------
x .   . .  & |    2 | 7200 |    2    2 |   1    3
-------------+------+------+-----------+---------
x5o   . .  & |    5 |    5 | 2880    * |   1    1
x .   . x    |    4 |    4 |    * 3600 |   0    2
-------------+------+------+-----------+---------
x5o5/2o .  &    12 |   30 |   12    0 | 240    *
x5o   . x  &    10 |   15 |    2    5 |   * 1440

x5o5/3o5/4x

. .   .   . | 1440 |    5    5 |    5   10    5 |   1   5   5   1
------------+------+-----------+----------------+----------------
x .   .   . |    2 | 3600    * |    2    2    0 |   1   2   1   0
. .   .   x |    2 |    * 3600 |    0    2    2 |   0   1   2   1
------------+------+-----------+----------------+----------------
x5o   .   . |    5 |    5    0 | 1440    *    * |   1   1   0   0
x .   .   x |    4 |    2    2 |    * 3600    * |   0   1   1   0
. .   o5/4x |    5 |    0    5 |    *    * 1440 |   0   0   1   1
------------+------+-----------+----------------+----------------
x5o5/3o   .    12 |   30    0 |   12    0    0 | 120   *   *   *
x5o   .   x    10 |   10    5 |    2    5    0 |   * 720   *   *
x .   o5/4x    10 |    5   10 |    0    5    2 |   *   * 720   *
. o5/3o5/4x    12 |    0   30 |    0    0   12 |   *   *   * 120

x5/4o5/2o5/4x

.   .   .   . | 1440 |    5    5 |    5   10    5 |   1   5   5   1
--------------+------+-----------+----------------+----------------
x   .   .   . |    2 | 3600    * |    2    2    0 |   1   2   1   0
.   .   .   x |    2 |    * 3600 |    0    2    2 |   0   1   2   1
--------------+------+-----------+----------------+----------------
x5/4o   .   . |    5 |    5    0 | 1440    *    * |   1   1   0   0
x   .   .   x |    4 |    2    2 |    * 3600    * |   0   1   1   0
.   .   o5/4x |    5 |    0    5 |    *    * 1440 |   0   0   1   1
--------------+------+-----------+----------------+----------------
x5/4o5/2o   .    12 |   30    0 |   12    0    0 | 120   *   *   *
x5/4o   .   x    10 |   10    5 |    2    5    0 |   * 720   *   *
x   .   o5/4x    10 |    5   10 |    0    5    2 |   *   * 720   *
.   o5/2o5/4x    12 |    0   30 |    0    0   12 |   *   *   * 120
or
.   .   .   .    | 1440 |   10 |   10   10 |   2   10
-----------------+------+------+-----------+---------
x   .   .   .  & |    2 | 7200 |    2    2 |   1    3
-----------------+------+------+-----------+---------
x5/4o   .   .  & |    5 |    5 | 2880    * |   1    1
x   .   .   x    |    4 |    4 |    * 3600 |   0    2
-----------------+------+------+-----------+---------
x5/4o5/2o   .  &    12 |   30 |   12    0 | 240    *
x5/4o   .   x  &    10 |   15 |    2    5 |   * 1440

© 2004-2019
top of page