Acronym sipti
Name small prismatotriakisicositetrachoron
Circumradius sqrt[8+3 sqrt(2)] = 3.498949
General of army prico
Colonel of regiment prico
External
links
hedrondude   WikiChoron  

As abstract polytope sipti is isomorphic to gipti, thereby replacing octagons by octagrams, respectively girco by quitco and socco by gocco. – As such sipti is a lieutenant.


Incidence matrix according to Dynkin symbol

x3x4o3/2x4*b

. . .   .    | 576 |   1   2   2 |   2   2   1   2   1 |  1  2  1  1
-------------+-----+-------------+---------------------+------------
x . .   .    |   2 | 288   *   * |   2   2   0   0   0 |  1  2  1  0
. x .   .    |   2 |   * 576   * |   1   0   1   1   0 |  1  1  0  1
. . .   x    |   2 |   *   * 576 |   0   1   0   1   1 |  0  1  1  1
-------------+-----+-------------+---------------------+------------
x3x .   .    |   6 |   3   3   0 | 192   *   *   *   * |  1  1  0  0
x . .   x    |   4 |   2   0   2 |   * 288   *   *   * |  0  1  1  0
. x4o   .    |   4 |   0   4   0 |   *   * 144   *   * |  1  0  0  1
. x .   x4*b |   8 |   0   4   4 |   *   *   * 144   * |  0  1  0  1
. . o3/2x    |   3 |   0   0   3 |   *   *   *   * 192 |  0  0  1  1
-------------+-----+-------------+---------------------+------------
x3x4o   .      24 |  12  24   0 |   8   0   6   0   0 | 24  *  *  *
x3x .   x4*b   48 |  24  24  24 |   8  12   0   6   0 |  * 24  *  *
x . o3/2x       6 |   3   0   6 |   0   3   0   0   2 |  *  * 96  *
. x4o3/2x4*b   24 |   0  24  24 |   0   0   6   6   8 |  *  *  * 24

x3x4/3o3x4*b

. .   . .    | 576 |   1   2   2 |   2   2   1   2   1 |  1  2  1  1
-------------+-----+-------------+---------------------+------------
x .   . .    |   2 | 288   *   * |   2   2   0   0   0 |  1  2  1  0
. x   . .    |   2 |   * 576   * |   1   0   1   1   0 |  1  1  0  1
. .   . x    |   2 |   *   * 576 |   0   1   0   1   1 |  0  1  1  1
-------------+-----+-------------+---------------------+------------
x3x   . .    |   6 |   3   3   0 | 192   *   *   *   * |  1  1  0  0
x .   . x    |   4 |   2   0   2 |   * 288   *   *   * |  0  1  1  0
. x4/3o .    |   4 |   0   4   0 |   *   * 144   *   * |  1  0  0  1
. x   . x4*b |   8 |   0   4   4 |   *   *   * 144   * |  0  1  0  1
. .   o3x    |   3 |   0   0   3 |   *   *   *   * 192 |  0  0  1  1
-------------+-----+-------------+---------------------+------------
x3x4/3o .      24 |  12  24   0 |   8   0   6   0   0 | 24  *  *  *
x3x   . x4*b   48 |  24  24  24 |   8  12   0   6   0 |  * 24  *  *
x .   o3x       6 |   3   0   6 |   0   3   0   0   2 |  *  * 96  *
. x4/3o3x4*b   24 |   0  24  24 |   0   0   6   6   8 |  *  *  * 24

x3x4o3β

both( . . . . ) | 576 |   1   2   2 |   2   1   1   2   2 |  1  1  1  2
----------------+-----+-------------+---------------------+------------
both( x . . . ) |   2 | 288   *   * |   2   0   0   2   0 |  1  1  0  2
both( . x . . ) |   2 |   * 576   * |   1   1   0   0   1 |  1  0  1  1
sefa( . . o3β ) |   2 |   *   * 576 |   0   0   1   1   1 |  0  1  1  1
----------------+-----+-------------+---------------------+------------
both( x3x . . ) |   6 |   3   3   0 | 192   *   *   *   * |  1  0  0  1
both( . x4o . ) |   4 |   0   4   0 |   * 144   *   *   * |  1  0  1  0
      . . o3β      3 |   0   0   3 |   *   * 192   *   * |  0  1  1  0
sefa( x . o3β ) |   4 |   2   0   2 |   *   *   * 288   * |  0  1  0  1
sefa( . x4o3β ) |   8 |   0   4   4 |   *   *   *   * 144 |  0  0  1  1
----------------+-----+-------------+---------------------+------------
both( x3x4o . )   24 |  12  24   0 |   8   6   0   0   0 | 24  *  *  *
      x . o3β      6 |   3   0   6 |   0   0   2   3   0 |  * 96  *  *
      . x4o3β     24 |   0  24  24 |   0   6   8   0   6 |  *  * 24  *
sefa( x3x4o3β )   48 |  24  24  24 |   8   0   0  12   6 |  *  *  * 24

starting figure: x3x4o3x

© 2004-2019
top of page