Acronym kavahto
Name skewverted hexadecatrisoctachoron
Circumradius sqrt(2) = 1.414214
Dihedral angles
Colonel of regiment skiviphado
External
links
hedrondude   polytopewiki  

As abstract polytope kavahto is automorph, thereby interchanging the roles of octagons and octagrams, resp. those of socco and gocco.


Incidence matrix according to Dynkin symbol

x3x3o4x4*a3/2*c *b4/3*d

. . . .                 | 192 |   2   2   2 |  2  1  2  1  2  1 |  1 2 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  0  1  0  1  1 |  0 1 1 1
------------------------+-----+-------------+-------------------+---------
x3x . .                 |   6 |   3   3   0 | 64  *  *  *  *  * |  1 1 0 0
x . o . *a3/2*c         |   3 |   3   0   0 |  * 64  *  *  *  * |  1 0 1 0
x . . x4*a              |   8 |   4   0   4 |  *  * 48  *  *  * |  0 1 1 0
. x3o .                 |   3 |   0   3   0 |  *  *  * 64  *  * |  1 0 0 1
. x . x         *b4/3*d |   8 |   0   4   4 |  *  *  *  * 48  * |  0 1 0 1
. . o4x                 |   4 |   0   0   4 |  *  *  *  *  * 48 |  0 0 1 1
------------------------+-----+-------------+-------------------+---------
x3x3o . *a3/2*c           12 |  12  12   0 |  4  4  0  4  0  0 | 16 * * *
x3x . x4*a      *b4/3*d   48 |  24  24  24 |  8  0  6  0  6  0 |  * 8 * *
x . o4x4*a3/2*c           24 |  24   0  24 |  0  8  6  0  0  6 |  * * 8 *
. x3o4x         *b4/3*d   24 |   0  24  24 |  0  0  0  8  6  6 |  * * * 8

x3x3o4/3x4/3*a3/2*c *b4*d

. . .   .                 | 192 |   2   2   2 |  2  1  2  1  2  1 |  1 2 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  0  1  0  1  1 |  0 1 1 1
--------------------------+-----+-------------+-------------------+---------
x3x .   .                 |   6 |   3   3   0 | 64  *  *  *  *  * |  1 1 0 0
x . o   .   *a3/2*c       |   3 |   3   0   0 |  * 64  *  *  *  * |  1 0 1 0
x . .   x4/3*a            |   8 |   4   0   4 |  *  * 48  *  *  * |  0 1 1 0
. x3o   .                 |   3 |   0   3   0 |  *  *  * 64  *  * |  1 0 0 1
. x .   x           *b4*d |   8 |   0   4   4 |  *  *  *  * 48  * |  0 1 0 1
. . o4/3x                 |   4 |   0   0   4 |  *  *  *  *  * 48 |  0 0 1 1
--------------------------+-----+-------------+-------------------+---------
x3x3o   .   *a3/2*c         12 |  12  12   0 |  4  4  0  4  0  0 | 16 * * *
x3x .   x4/3*a      *b4*d   48 |  24  24  24 |  8  0  6  0  6  0 |  * 8 * *
x . o4/3x4/3*a3/2*c         24 |  24   0  24 |  0  8  6  0  0  6 |  * * 8 *
. x3o4/3x           *b4*d   24 |   0  24  24 |  0  0  0  8  6  6 |  * * * 8

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