Acronym srix
Name small rhombated hexacosachoron,
cantellated hexacosachoron
Circumradius sqrt[19+8 sqrt(5)] = 6.073594
Vertex figure
 ©
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: co id oho pip ti
srix 60012007200
srawv hixhi 01206000120
& others)
Dihedral angles
  • at {4} between co and pip:   arccos(-sqrt[(5+2 sqrt(5))/10]) = 166.717474°
  • at {3} between co and co:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {5} between id and pip:   162°
  • at {3} between co and id:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
Confer
Grünbaumian relatives:
2srix   2srix+2400{6}+4800{3}   2srix+2400{6}+7200{3}  
segmentochora:
idati  
other CRFs:
idsrix   ti || (x,f)-srid || grid   id || ti || (x,f)-srid || grid  
decompositions:
sidpixhi || srix  
External
links
hedrondude   wikipedia   WikiChoron   quickfur

As abstract polytope srix is isomorphic to sirgax, thereby replacing pentagons by pentagrams, resp. replacing id by gid and pip by stip.

Note that srix can be thought of as the external blend of 1 sidpixhi + 600 tetacoes + 1200 triddips + 720 pappips + 120 doaids. This decomposition is described as the degenerate segmentoteron xx3oo3ox5xo&#x.


Incidence matrix according to Dynkin symbol

x3o3x5o

. . . . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
--------+------+-----------+---------------------+------------
x . . . |    2 | 3600    * |    1    2    0    0 |   2   1   0
. . x . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
--------+------+-----------+---------------------+------------
x3o . . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x . x . |    4 |    2    2 |    * 3600    *    * |   1   1   0
. o3x . |    3 |    0    3 |    *    * 2400    * |   1   0   1
. . x5o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
--------+------+-----------+---------------------+------------
x3o3x .    12 |   12   12 |    4    6    4    0 | 600   *   *
x . x5o    10 |    5   10 |    0    5    0    2 |   * 720   *
. o3x5o    30 |    0   60 |    0    0   20   12 |   *   * 120

snubbed forms: β3o3x5o, x3o3β5o, β3o3β5o

x3o3x5/4o

. . .   . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
----------+------+-----------+---------------------+------------
x . .   . |    2 | 3600    * |    1    2    0    0 |   2   1   0
. . x   . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
----------+------+-----------+---------------------+------------
x3o .   . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x . x   . |    4 |    2    2 |    * 3600    *    * |   1   1   0
. o3x   . |    3 |    0    3 |    *    * 2400    * |   1   0   1
. . x5/4o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
----------+------+-----------+---------------------+------------
x3o3x   .    12 |   12   12 |    4    6    4    0 | 600   *   *
x . x5/4o    10 |    5   10 |    0    5    0    2 |   * 720   *
. o3x5/4o    30 |    0   60 |    0    0   20   12 |   *   * 120

x3/2o3/2x5o

.   .   . . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
------------+------+-----------+---------------------+------------
x   .   . . |    2 | 3600    * |    1    2    0    0 |   2   1   0
.   .   x . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
------------+------+-----------+---------------------+------------
x3/2o   . . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x   .   x . |    4 |    2    2 |    * 3600    *    * |   1   1   0
.   o3/2x . |    3 |    0    3 |    *    * 2400    * |   1   0   1
.   .   x5o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
------------+------+-----------+---------------------+------------
x3/2o3/2x .    12 |   12   12 |    4    6    4    0 | 600   *   *
x   .   x5o    10 |    5   10 |    0    5    0    2 |   * 720   *
.   o3/2x5o    30 |    0   60 |    0    0   20   12 |   *   * 120

x3/2o3/2x5/4o

.   .   .   . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
--------------+------+-----------+---------------------+------------
x   .   .   . |    2 | 3600    * |    1    2    0    0 |   2   1   0
.   .   x   . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
--------------+------+-----------+---------------------+------------
x3/2o   .   . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x   .   x   . |    4 |    2    2 |    * 3600    *    * |   1   1   0
.   o3/2x   . |    3 |    0    3 |    *    * 2400    * |   1   0   1
.   .   x5/4o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
--------------+------+-----------+---------------------+------------
x3/2o3/2x   .    12 |   12   12 |    4    6    4    0 | 600   *   *
x   .   x5/4o    10 |    5   10 |    0    5    0    2 |   * 720   *
.   o3/2x5/4o    30 |    0   60 |    0    0   20   12 |   *   * 120

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