stut phiddix

Acronym

stut phiddix

Name

small tritrigonal prismatohecatonicosidishexacosachoron

Circumradius

sqrt[8+3 sqrt(5)] = 3.835128

General of army

x3o3o5v

Colonel of regiment

(is itself locally convex – uniform polychoral members:

by cells:	co	ditdid	gidtid	oho	saddid	sidditdid	sidtid	siid	srid	stip	tet	ti	tid
stut phiddix	600	0	0	0	0	0	120	0	0	720	600	0	0
stut thix	0	120	0	0	0	0	0	120	0	0	600	120	0
stut pixady	0	120	0	0	0	0	0	0	120	720	600	0	0
stut dixady	0	0	120	600	0	0	0	0	0	0	600	120	0
stut xethi	0	0	120	0	120	0	0	0	0	0	600	0	120
sit thixady	0	0	0	0	0	120	120	0	0	0	600	0	120

& others)

Face vector

2400, 10800, 9840, 2040

Confer

general polytopal classes:: Wythoffian polychora

External
links

As abstract polytope stut phiddix is isomorphic to getit phiddix, thereby replacing the pentagrams by pentagons, resp. replacing stip by pip and sidtid by gidtid.

Incidence matrix according to Dynkin symbol

x3o3x5/2o3*b

. . .   .    | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
-------------+------+-----------+---------------------+----------------
x . .   .    |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
. . x   .    |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
-------------+------+-----------+---------------------+----------------
x3o .   .    |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x . x   .    |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
. o3x   .    |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
. . x5/2o    |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------+------+-----------+---------------------+----------------
x3o3x   .    ♦   12 |   12   12 |    4    6    4    0 | 600   *   *   *
x3o .   o3*b ♦    4 |    6    0 |    4    0    0    0 |   * 600   *   *
x . x5/2o    ♦   10 |    5   10 |    0    5    0    2 |   *   * 720   *
. o3x5/2o3*b ♦   20 |    0   60 |    0    0   20   12 |   *   *   * 120

x3o3x5/3o3/2*b

. . .   .      | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
---------------+------+-----------+---------------------+----------------
x . .   .      |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
. . x   .      |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
---------------+------+-----------+---------------------+----------------
x3o .   .      |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x . x   .      |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
. o3x   .      |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
. . x5/3o      |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
---------------+------+-----------+---------------------+----------------
x3o3x   .      ♦   12 |   12   12 |    4    6    4    0 | 600   *   *   *
x3o .   o3/2*b ♦    4 |    6    0 |    4    0    0    0 |   * 600   *   *
x . x5/3o      ♦   10 |    5   10 |    0    5    0    2 |   *   * 720   *
. o3x5/3o3/2*b ♦   20 |    0   60 |    0    0   20   12 |   *   *   * 120

x3/2o3/2x5/2o3/2*b

.   .   .   .      | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
-------------------+------+-----------+---------------------+----------------
x   .   .   .      |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
.   .   x   .      |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
-------------------+------+-----------+---------------------+----------------
x3/2o   .   .      |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x   .   x   .      |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
.   o3/2x   .      |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
.   .   x5/2o      |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------------+------+-----------+---------------------+----------------
x3/2o3/2x   .      ♦   12 |   12   12 |    4    6    4    0 | 600   *   *   *
x/23o   .   o3/2*b ♦    4 |    6    0 |    4    0    0    0 |   * 600   *   *
x   .   x5/2o      ♦   10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3/2x5/2o3/2*b ♦   20 |    0   60 |    0    0   20   12 |   *   *   * 120

x3/2o3/2x5/3o3*b

.   .   .   .    | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
-----------------+------+-----------+---------------------+----------------
x   .   .   .    |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
.   .   x   .    |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
-----------------+------+-----------+---------------------+----------------
x3/2o   .   .    |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x   .   x   .    |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
.   o3/2x   .    |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
.   .   x5/3o    |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-----------------+------+-----------+---------------------+----------------
x3/2o3/2x   .    ♦   12 |   12   12 |    4    6    4    0 | 600   *   *   *
x/23o   .   o3*b ♦    4 |    6    0 |    4    0    0    0 |   * 600   *   *
x   .   x5/3o    ♦   10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3/2x5/3o3*b ♦   20 |    0   60 |    0    0   20   12 |   *   *   * 120

x3o3o5β

both( . . . . ) | 2400 |    3    6 |    3    3    6    3 |   1   3   1   3
----------------+------+-----------+---------------------+----------------
both( x . . . ) |    2 | 3600    * |    2    0    2    0 |   1   1   0   2
sefa( . . o5β ) |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
----------------+------+-----------+---------------------+----------------
both( x3o . . ) |    3 |    3    0 | 2400    *    *    * |   1   0   0   1
      . . o5β   ♦    5 |    0    5 |    * 1440    *    * |   0   1   1   0
sefa( x 2 o5β ) |    4 |    2    2 |    *    * 3600    * |   0   1   0   1
sefa( . o3o5β ) |    3 |    0    3 |    *    *    * 2400 |   0   0   1   1
----------------+------+-----------+---------------------+----------------
both( x3o3o . ) ♦    4 |    6    0 |    4    0    0    0 | 600   *   *   *
      x 2 o5β   ♦   10 |    5   10 |    0    2    5    0 |   * 720   *   *
      . o3o5β   ♦   20 |    0   60 |    0   12    0   20 |   *   * 120   *
sefa( x3o3o5β ) ♦   12 |   12   12 |    4    0    6    4 |   *   *   * 600

starting figure: x3o3o5x

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