Acronym kaviphdit
Name skewverted prismatohexadecadistesseract
Cross sections
 ©
Circumradius sqrt(2) = 1.414214
Coordinates ((1+sqrt(2))/2, 1/2, 1/2, (sqrt(2)-1)/2)   & all permutations, all changes of sign
Colonel of regiment skiviphado
External
links
hedrondude   polytopewiki  

As abstract polytope kaviphdit is automorph, thereby interchanging the roles of querco and sirco.


Incidence matrix according to Dynkin symbol

x4o3x3x3/2*b

. . . .      | 192 |   2   2   2 |  1  2  2  1  1  2 | 1 1  2  1
-------------+-----+-------------+-------------------+----------
x . . .      |   2 | 192   *   * |  1  1  1  0  0  0 | 1 1  1  0
. . 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
-------------+-----+-------------+-------------------+----------
x4o . .      |   4 |   4   0   0 | 48  *  *  *  *  * | 1 1  0  0
x . x .      |   4 |   2   2   0 |  * 96  *  *  *  * | 1 0  1  0
x . . x      |   4 |   2   0   2 |  *  * 96  *  *  * | 0 1  1  0
. o3x .      |   3 |   0   3   0 |  *  *  * 64  *  * | 1 0  0  1
. o . x3/2*b |   3 |   0   0   3 |  *  *  *  * 64  * | 0 1  0  1
. . x3x      |   6 |   0   3   3 |  *  *  *  *  * 64 | 0 0  1  1
-------------+-----+-------------+-------------------+----------
x4o3x .        24 |  24  24   0 |  6 12  0  8  0  0 | 8 *  *  *
x4o . x3/2*b   24 |  24   0  24 |  6  0 12  0  8  0 | * 8  *  *
x . x3x        12 |   6   6   6 |  0  3  3  0  0  2 | * * 32  *
. o3x3x3/2*b   12 |   0  12  12 |  0  0  0  4  4  4 | * *  * 16

x4/3o3x3x3/2*b

.   . . .      | 192 |   2   2   2 |  1  2  2  1  1  2 | 1 1  2  1
---------------+-----+-------------+-------------------+----------
x   . . .      |   2 | 192   *   * |  1  1  1  0  0  0 | 1 1  1  0
.   . 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
---------------+-----+-------------+-------------------+----------
x4/3o . .      |   4 |   4   0   0 | 48  *  *  *  *  * | 1 1  0  0
x   . x .      |   4 |   2   2   0 |  * 96  *  *  *  * | 1 0  1  0
x   . . x      |   4 |   2   0   2 |  *  * 96  *  *  * | 0 1  1  0
.   o3x .      |   3 |   0   3   0 |  *  *  * 64  *  * | 1 0  0  1
.   o . x3/2*b |   3 |   0   0   3 |  *  *  *  * 64  * | 0 1  0  1
.   . x3x      |   6 |   0   3   3 |  *  *  *  *  * 64 | 0 0  1  1
---------------+-----+-------------+-------------------+----------
x4/3o3x .        24 |  24  24   0 |  6 12  0  8  0  0 | 8 *  *  *
x4/3o . x3/2*b   24 |  24   0  24 |  6  0 12  0  8  0 | * 8  *  *
x   . x3x        12 |   6   6   6 |  0  3  3  0  0  2 | * * 32  *
.   o3x3x3/2*b   12 |   0  12  12 |  0  0  0  4  4  4 | * *  * 16

© 2004-2021
top of page