Acronym gic
Name great tetracontoctachoron, octagrammy
Cross sections
 ©
Circumradius 2-sqrt(2) = 0.585786
Density 73
General of army cont
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: quith
gic 48
)
Confer
general polytopal classes:
noble polytopes  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope gic is isomorphic to cont, thereby replacing the octagrams by octagons, resp. replacing quith by tic.


Incidence matrix according to Dynkin symbol

o3x4/3x3o

. .   . . | 288 |   2   2 |  1   4  1 |  2  2
----------+-----+---------+-----------+------
. x   . . |   2 | 288   * |  1   2  0 |  2  1
. .   x . |   2 |   * 288 |  0   2  1 |  1  2
----------+-----+---------+-----------+------
o3x   . . |   3 |   3   0 | 96   *  * |  2  0
. x4/3x . |   8 |   4   4 |  * 144  * |  1  1
. .   x3o |   3 |   0   3 |  *   * 96 |  0  2
----------+-----+---------+-----------+------
o3x4/3x .   24 |  24  12 |  8   6  0 | 24  *
. x4/3x3o   24 |  12  24 |  0   6  8 |  * 24
or
. .   . .    | 288 |   4 |   2   4 |  4
-------------+-----+-----+---------+---
. x   . .  & |   2 | 576 |   1   2 |  3
-------------+-----+-----+---------+---
o3x   . .  & |   3 |   3 | 192   * |  2
. x4/3x .    |   8 |   8 |   * 144 |  2
-------------+-----+-----+---------+---
o3x4/3x .  &   24 |  36 |   8   6 | 48

o3x4/3x3/2o

. .   .   . | 288 |   2   2 |  1   4  1 |  2  2
------------+-----+---------+-----------+------
. x   .   . |   2 | 288   * |  1   2  0 |  2  1
. .   x   . |   2 |   * 288 |  0   2  1 |  1  2
------------+-----+---------+-----------+------
o3x   .   . |   3 |   3   0 | 96   *  * |  2  0
. x4/3x   . |   8 |   4   4 |  * 144  * |  1  1
. .   x3/2o |   3 |   0   3 |  *   * 96 |  0  2
------------+-----+---------+-----------+------
o3x4/3x   .   24 |  24  12 |  8   6  0 | 24  *
. x4/3x3/2o   24 |  12  24 |  0   6  8 |  * 24

o3/2x4/3x3/2o

.   .   .   . | 288 |   2   2 |  1   4  1 |  2  2
--------------+-----+---------+-----------+------
.   x   .   . |   2 | 288   * |  1   2  0 |  2  1
.   .   x   . |   2 |   * 288 |  0   2  1 |  1  2
--------------+-----+---------+-----------+------
o3/2x   .   . |   3 |   3   0 | 96   *  * |  2  0
.   x4/3x   . |   8 |   4   4 |  * 144  * |  1  1
.   .   x3/2o |   3 |   0   3 |  *   * 96 |  0  2
--------------+-----+---------+-----------+------
o3/2x4/3x   .   24 |  24  12 |  8   6  0 | 24  *
.   x4/3x3/2o   24 |  12  24 |  0   6  8 |  * 24
or
.   .   .   .    | 288 |   4 |   2   4 |  4
-----------------+-----+-----+---------+---
.   x   .   .  & |   2 | 576 |   1   2 |  3
-----------------+-----+-----+---------+---
o3/2x   .   .  & |   3 |   3 | 192   * |  2
.   x4/3x   .    |   8 |   8 |   * 144 |  2
-----------------+-----+-----+---------+---
o3/2x4/3x   .  &   24 |  36 |   8   6 | 48

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