Acronym gaquidpoth
Name great quasidisprismatotesseractihexadecachoron
Cross sections
 ©
Circumradius sqrt[8-3 sqrt(2)] = 1.938391
Coordinates ((3 sqrt(2)-1)/2, (2 sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: hip quitco stop toe
gaquidpoth 3282416
)
External
links
hedrondude   WikiChoron  

As abstract polytope gaquidpoth is isomorphic to gidpith, thereby replacing the octagrams by octagons, resp. replacing the quitco by girco and the stop by op.


Incidence matrix according to Dynkin symbol

x3x3x4/3x

. . .   . | 384 |   1   1   1   1 |  1  1  1  1  1  1 |  1  1  1 1
----------+-----+-----------------+-------------------+-----------
x . .   . |   2 | 192   *   *   * |  1  1  1  0  0  0 |  1  1  1 0
. x .   . |   2 |   * 192   *   * |  1  0  0  1  1  0 |  1  1  0 1
. . x   . |   2 |   *   * 192   * |  0  1  0  1  0  1 |  1  0  1 1
. . .   x |   2 |   *   *   * 192 |  0  0  1  0  1  1 |  0  1  1 1
----------+-----+-----------------+-------------------+-----------
x3x .   . |   6 |   3   3   0   0 | 64  *  *  *  *  * |  1  1  0 0
x . x   . |   4 |   2   0   2   0 |  * 96  *  *  *  * |  1  0  1 0
x . .   x |   4 |   2   0   0   2 |  *  * 96  *  *  * |  0  1  1 0
. x3x   . |   6 |   0   3   3   0 |  *  *  * 64  *  * |  1  0  0 1
. x .   x |   4 |   0   2   0   2 |  *  *  *  * 96  * |  0  1  0 1
. . x4/3x |   8 |   0   0   4   4 |  *  *  *  *  * 48 |  0  0  1 1
----------+-----+-----------------+-------------------+-----------
x3x3x   .   24 |  12  12  12   0 |  4  6  0  4  0  0 | 16  *  * *
x3x .   x   12 |   6   6   0   6 |  2  0  3  0  3  0 |  * 32  * *
x . x4/3x   16 |   8   0   8   8 |  0  4  4  0  0  2 |  *  * 24 *
. x3x4/3x   48 |   0  24  24  24 |  0  0  0  8 12  6 |  *  *  * 8

© 2004-2019
top of page