Acronym ...
Name x3o3o5v,
variation of small disprismatohexacosihecatonicosachoron
Circumradius sqrt[8+3 sqrt(5)] = 3.835128
General of army (is itself convex – uniform colonel in this army: stut phiddix)
Colonel of regiment (is itself locally convex – no uniform polychoral members)
Dihedral angles
  • at x3o between x3o3o and x3o v:   arccos(-sqrt[9+3 sqrt(5)]/4) = 172.238756°
  • at x v between x o5v and x3o v:   arccos(-sqrt[(10+2 sqrt(5))/15]) = 169.187683°
  • at o5v between o3o5v and x o5v:   162°

Incidence matrix according to Dynkin symbol

x3o3o5v

. . . . | 2400 |    3    3 |    3    6    3 |   1    3   3   1
--------+------+-----------+----------------+-----------------
x . . . |    2 | 3600    * |    2    2    0 |   1    2   1   0
. . . v |    2 |    * 3600 |    0    2    2 |   0    1   2   1
--------+------+-----------+----------------+-----------------
x3o . . |    3 |    3    0 | 2400    *    * |   1    1   0   0
x . . v |    4 |    2    2 |    * 3600    * |   0    1   1   0
. . o5v |    5 |    0    5 |    *    * 1440 |   0    0   1   1
--------+------+-----------+----------------+-----------------
x3o3o .     4 |    6    0 |    4    0    0 | 600    *   *   *
x3o . v     6 |    6    3 |    2    3    0 |   * 1200   *   *
x . o5v    10 |    5   10 |    0    5    2 |   *    * 720   *
. o3o5v    20 |    0   30 |    0    0   12 |   *    *   * 120

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