hexaicope

Acronym	hexaicope
Name	hexadecachoron atop icositetrachoron-prism
Circumradius	sqrt(3/2) = 1.224745
Dihedral angles (at margins)	at traf between teta ope and teta ope: arccos(-2/3) = 131.810315° at rap between hexaico and teta ope: arccos[-1/sqrt(6)] = 114.094843° at trippy between opepy and teta ope: arccos[-1/sqrt(6)] = 114.094843° at hex between hexaico and hexaico: 90° at octpy between opepy and hexaico: 90° at ico between hexaico and icope: 45° at ope between icope and opepy: 45° ...
Face vector	56, 336, 608, 472, 171, 27
Confer	uniform relative: brag related segmentopeta: ratanit hexcopedaw related CRFs: hex-first quarter-lune general polytopal classes: lace simplices analogs:

Incidence matrix according to Dynkin symbol

ox xo3ox3oo4oo&#x   → height = 1/2
(hex || icope)

o. o.3o.3o.4o.    | 8  * |  6 12  0   0 | 12  6 12  24  0  0   0 |  8  6 12 24  16  0  0  0  0 | 1 12  8 16  2  0 0 0 |  8 1 2 0
.o .o3.o3.o4.o    | * 48 |  0  2  1   8 |  0  2  1   8  8  4   8 |  0  1  8  4   8  4  8  4  2 | 0  4  8  4  2  4 2 1 |  4 2 1 1
------------------+------+--------------+------------------------+-----------------------------+----------------------+---------
.. x. .. .. ..    | 2  0 | 24  *  *   * |  4  0  2   0  0  0   0 |  4  1  0  8   0  0  0  0  0 | 1  4  0  8  0  0 0 0 |  4 0 2 0
oo oo3oo3oo4oo&#x | 1  1 |  * 96  *   * |  0  1  1   4  0  0   0 |  0  1  4  4   4  0  0  0  0 | 0  4  4  4  1  0 0 0 |  4 1 1 0
.x .. .. .. ..    | 0  2 |  *  * 24   * |  0  2  0   0  8  0   0 |  0  1  8  0   0  4  8  0  0 | 0  4  8  0  0  4 2 0 |  4 2 0 1
.. .. .x .. ..    | 0  2 |  *  *  * 192 |  0  0  0   1  1  1   2 |  0  0  1  1   2  1  2  2  1 | 0  1  2  2  1  2 1 1 |  2 1 1 1
------------------+------+--------------+------------------------+-----------------------------+----------------------+---------
.. x.3o. .. ..    | 3  0 |  3  0  0   0 | 32  *  *   *  *  *   * |  2  0  0  2   0  0  0  0  0 | 1  1  0  4  0  0 0 0 |  2 0 2 0
ox .. .. .. ..&#x | 1  2 |  0  2  1   0 |  * 48  *   *  *  *   * |  0  1  4  0   0  0  0  0  0 | 0  4  4  0  0  0 0 0 |  4 1 0 0
.. xo .. .. ..&#x | 2  1 |  1  2  0   0 |  *  * 48   *  *  *   * |  0  1  0  4   0  0  0  0  0 | 0  4  0  4  0  0 0 0 |  4 0 1 0
.. .. ox .. ..&#x | 1  2 |  0  2  0   1 |  *  *  * 192  *  *   * |  0  0  1  1   2  0  0  0  0 | 0  1  2  2  1  0 0 0 |  2 1 1 0
.x .. .x .. ..    | 0  4 |  0  0  2   2 |  *  *  *   * 96  *   * |  0  0  1  0   0  1  2  0  0 | 0  1  2  0  0  2 1 0 |  2 1 0 1
.. .o3.x .. ..    | 0  3 |  0  0  0   3 |  *  *  *   *  * 64   * |  0  0  0  1   0  1  0  2  0 | 0  1  0  2  0  2 0 1 |  2 0 1 1
.. .. .x3.o ..    | 0  3 |  0  0  0   3 |  *  *  *   *  *  * 128 |  0  0  0  0   1  0  1  1  1 | 0  0  1  1  1  1 1 1 |  1 1 1 1
------------------+------+--------------+------------------------+-----------------------------+----------------------+---------
.. x.3o.3o. ..    ♦ 4  0 |  6  0  0   0 |  4  0  0   0  0  0   0 | 16  *  *  *   *  *  *  *  * | 1  0  0  2  0  0 0 0 |  1 0 2 0
ox xo .. .. ..&#x ♦ 2  2 |  1  4  1   0 |  0  2  2   0  0  0   0 |  * 24  *  *   *  *  *  *  * | 0  4  0  0  0  0 0 0 |  4 0 0 0
ox .. ox .. ..&#x ♦ 1  4 |  0  4  2   2 |  0  2  0   2  1  0   0 |  *  * 96  *   *  *  *  *  * | 0  1  2  0  0  0 0 0 |  2 1 0 0
.. xo3ox .. ..&#x ♦ 3  3 |  3  6  0   3 |  1  0  3   3  0  1   0 |  *  *  * 64   *  *  *  *  * | 0  1  0  2  0  0 0 0 |  2 0 1 0
.. .. ox3oo ..&#x ♦ 1  3 |  0  3  0   3 |  0  0  0   3  0  0   1 |  *  *  *  * 128  *  *  *  * | 0  0  1  1  1  0 0 0 |  1 1 1 0
.x .o3.x .. ..    ♦ 0  6 |  0  0  3   6 |  0  0  0   0  3  2   0 |  *  *  *  *   * 32  *  *  * | 0  1  0  0  0  2 0 0 |  2 0 0 1
.x .. .x3.o ..    ♦ 0  6 |  0  0  3   6 |  0  0  0   0  3  0   2 |  *  *  *  *   *  * 64  *  * | 0  0  1  0  0  1 1 0 |  1 1 0 1
.. .o3.x3.o ..    ♦ 0  6 |  0  0  0  12 |  0  0  0   0  0  4   4 |  *  *  *  *   *  *  * 32  * | 0  0  0  1  0  1 0 1 |  1 0 1 1
.. .. .x3.o4.o    ♦ 0  6 |  0  0  0  12 |  0  0  0   0  0  0   8 |  *  *  *  *   *  *  *  * 16 | 0  0  0  0  1  0 1 1 |  0 1 1 1
------------------+------+--------------+------------------------+-----------------------------+----------------------+---------
.. x.3o.3o.4o.    ♦ 8  0 | 24  0  0   0 | 32  0  0   0  0  0   0 | 16  0  0  0   0  0  0  0  0 | 1  *  *  *  *  * * * |  0 0 2 0
ox xo3ox .. ..&#x ♦ 3  6 |  3 12  3   6 |  1  6  6   6  3  2   0 |  0  3  3  2   0  1  0  0  0 | * 32  *  *  *  * * * |  2 0 0 0
ox .. ox3oo ..&#x ♦ 1  6 |  0  6  3   6 |  0  3  0   6  3  0   2 |  0  0  3  0   2  0  1  0  0 | *  * 64  *  *  * * * |  1 1 0 0
.. xo3ox3oo ..&#x ♦ 4  6 |  6 12  0  12 |  4  0  6  12  0  4   4 |  1  0  0  4   4  0  0  1  0 | *  *  * 32  *  * * * |  1 0 1 0
.. .. ox3oo4oo&#x ♦ 1  6 |  0  6  0  12 |  0  0  0  12  0  0   8 |  0  0  0  0   8  0  0  0  1 | *  *  *  * 16  * * * |  0 1 1 0
.x .o3.x3.o ..    ♦ 0 12 |  0  0  6  24 |  0  0  0   0 12  8   8 |  0  0  0  0   0  4  4  2  0 | *  *  *  *  * 16 * * |  1 0 0 1
.x .. .x3.o4.o    ♦ 0 12 |  0  0  6  24 |  0  0  0   0 12  0  16 |  0  0  0  0   0  0  8  0  2 | *  *  *  *  *  * 8 * |  0 1 0 1
.. .o3.x3.o4.o    ♦ 0 24 |  0  0  0  96 |  0  0  0   0  0 32  64 |  0  0  0  0   0  0  0 16  8 | *  *  *  *  *  * * 2 |  0 0 1 1
------------------+------+--------------+------------------------+-----------------------------+----------------------+---------
ox xo3ox3oo ..&#x ♦ 4 12 |  6 24  6  24 |  4 12 12  24 12  8   8 |  1  6 12  8   8  4  4  2  0 | 0  4  4  2  0  1 0 0 | 16 * * *
ox .. ox3oo4oo&#x ♦ 1 12 |  0 12  6  24 |  0  6  0  24 12  0  16 |  0  0 12  0  16  0  8  0  2 | 0  0  8  0  2  0 1 0 |  * 8 * *
.. xo3ox3oo4oo&#x ♦ 8 24 | 24 48  0  96 | 32  0 24  96  0 32  64 | 16  0  0 32  64  0  0 16  8 | 1  0  0 16  8  0 0 1 |  * * 2 *
.x .o3.x3.o4.o    ♦ 0 48 |  0  0 24 192 |  0  0  0   0 96 64 128 |  0  0  0  0   0 32 64 32 16 | 0  0  0  0  0 16 8 2 |  * * * 1

ox oo3ox3oo *c3xo&#x   → height = 1/2
(hex || icope)

o. o.3o.3o. *c3o.    | 8  * |  6 12  0   0 | 12  6  24 12  0  0  0  0 | 4 4 12  6  8  8 24  0  0  0  0  0  0 | 1  4  4 12  2  8  8 0 0 0 0 | 1 4 4 2 0
.o .o3.o3.o *c3.o    | * 48 |  0  2  1   8 |  0  2   8  1  8  4  4  4 | 0 0  8  1  4  4  4  4  4  4  2  2  2 | 0  4  4  4  2  2  2 2 2 2 1 | 2 2 2 1 1
---------------------+------+--------------+--------------------------+--------------------------------------+-----------------------------+----------
.. .. .. ..    x.    | 2  0 | 24  *  *   * |  4  0   0  2  0  0  0  0 | 2 2  0  1  0  0  8  0  0  0  0  0  0 | 1  0  0  4  0  4  4 0 0 0 0 | 0 2 2 2 0
oo oo3oo3oo *c3oo&#x | 1  1 |  * 96  *   * |  0  1   4  1  0  0  0  0 | 0 0  4  1  2  2  4  0  0  0  0  0  0 | 0  2  2  4  1  2  2 0 0 0 0 | 1 2 2 1 0
.x .. .. ..    ..    | 0  2 |  *  * 24   * |  0  2   0  0  8  0  0  0 | 0 0  8  1  0  0  0  4  4  4  0  0  0 | 0  4  4  4  0  0  0 2 2 2 0 | 2 2 2 0 1
.. .. .x ..    ..    | 0  2 |  *  *  * 192 |  0  0   1  0  1  1  1  1 | 0 0  1  0  1  1  1  1  1  1  1  1  1 | 0  1  1  1  1  1  1 1 1 1 1 | 1 1 1 1 1
---------------------+------+--------------+--------------------------+--------------------------------------+-----------------------------+----------
.. .. o. .. *c3x.    | 3  0 |  3  0  0   0 | 32  *   *  *  *  *  *  * | 1 1  0  0  0  0  2  0  0  0  0  0  0 | 1  0  0  1  0  2  2 0 0 0 0 | 0 1 1 2 0
ox .. .. ..    ..&#x | 1  2 |  0  2  1   0 |  * 48   *  *  *  *  *  * | 0 0  4  1  0  0  0  0  0  0  0  0  0 | 0  2  2  4  0  0  0 0 0 0 0 | 1 2 2 0 0
.. .. ox ..    ..&#x | 1  2 |  0  2  0   1 |  *  * 192  *  *  *  *  * | 0 0  1  0  1  1  1  0  0  0  0  0  0 | 0  1  1  1  1  1  1 0 0 0 0 | 1 1 1 1 0
.. .. .. ..    xo&#x | 2  1 |  1  2  0   0 |  *  *   * 48  *  *  *  * | 0 0  0  1  0  0  4  0  0  0  0  0  0 | 0  0  0  4  0  2  2 0 0 0 0 | 0 2 2 1 0
.x .. .x ..    ..    | 0  4 |  0  0  2   2 |  *  *   *  * 96  *  *  * | 0 0  1  0  0  0  0  1  1  1  0  0  0 | 0  1  1  1  0  0  0 1 1 1 0 | 1 1 1 0 1
.. .o3.x ..    ..    | 0  3 |  0  0  0   3 |  *  *   *  *  * 64  *  * | 0 0  0  0  1  0  0  1  0  0  1  1  0 | 0  1  0  0  1  1  0 1 1 0 1 | 1 1 0 1 1
.. .. .x3.o    ..    | 0  3 |  0  0  0   3 |  *  *   *  *  *  * 64  * | 0 0  0  0  0  1  0  0  1  0  1  0  1 | 0  0  1  0  1  0  1 1 0 1 1 | 1 0 1 1 1
.. .. .x .. *c3.o    | 0  3 |  0  0  0   3 |  *  *   *  *  *  *  * 64 | 0 0  0  0  0  0  1  0  0  1  0  1  1 | 0  0  0  1  0  1  1 0 1 1 1 | 0 1 1 1 1
---------------------+------+--------------+--------------------------+--------------------------------------+-----------------------------+----------
.. o.3o. .. *c3x.    ♦ 4  0 |  6  0  0   0 |  4  0   0  0  0  0  0  0 | 8 *  *  *  *  *  *  *  *  *  *  *  * | 1  0  0  0  0  2  0 0 0 0 0 | 0 1 0 2 0
.. .. o.3o. *c3x.    ♦ 4  0 |  6  0  0   0 |  4  0   0  0  0  0  0  0 | * 8  *  *  *  *  *  *  *  *  *  *  * | 1  0  0  0  0  0  2 0 0 0 0 | 0 0 1 2 0
ox .. ox ..    ..&#x ♦ 1  4 |  0  4  2   2 |  0  2   2  0  1  0  0  0 | * * 96  *  *  *  *  *  *  *  *  *  * | 0  1  1  1  0  0  0 0 0 0 0 | 1 1 1 0 0
ox .. .. ..    xo&#x ♦ 2  2 |  1  4  1   0 |  0  2   0  2  0  0  0  0 | * *  * 24  *  *  *  *  *  *  *  *  * | 0  0  0  4  0  0  0 0 0 0 0 | 0 2 2 0 0
.. oo3ox ..    ..&#x ♦ 1  3 |  0  3  0   3 |  0  0   3  0  0  1  0  0 | * *  *  * 64  *  *  *  *  *  *  *  * | 0  1  0  0  1  1  0 0 0 0 0 | 1 1 0 1 0
.. .. ox3oo    ..&#x ♦ 1  3 |  0  3  0   3 |  0  0   3  0  0  0  1  0 | * *  *  *  * 64  *  *  *  *  *  *  * | 0  0  1  0  1  0  1 0 0 0 0 | 1 0 1 1 0
.. .. ox .. *c3xo&#x ♦ 3  3 |  3  6  0   3 |  1  0   3  3  0  0  0  1 | * *  *  *  *  * 64  *  *  *  *  *  * | 0  0  0  1  0  1  1 0 0 0 0 | 0 1 1 1 0
.x .o3.x ..    ..    ♦ 0  6 |  0  0  3   6 |  0  0   0  0  3  2  0  0 | * *  *  *  *  *  * 32  *  *  *  *  * | 0  1  0  0  0  0  0 1 1 0 0 | 1 1 0 0 1
.x .. .x3.o    ..    ♦ 0  6 |  0  0  3   6 |  0  0   0  0  3  0  2  0 | * *  *  *  *  *  *  * 32  *  *  *  * | 0  0  1  0  0  0  0 1 0 1 0 | 1 0 1 0 1
.x .. .x .. *c3.o    ♦ 0  6 |  0  0  3   6 |  0  0   0  0  3  0  0  2 | * *  *  *  *  *  *  *  * 32  *  *  * | 0  0  0  1  0  0  0 0 1 1 0 | 0 1 1 0 1
.. .o3.x3.o    ..    ♦ 0  6 |  0  0  0  12 |  0  0   0  0  0  4  4  0 | * *  *  *  *  *  *  *  *  * 16  *  * | 0  0  0  0  1  0  0 1 0 0 1 | 1 0 0 1 1
.. .o3.x .. *c3.o    ♦ 0  6 |  0  0  0  12 |  0  0   0  0  0  4  0  4 | * *  *  *  *  *  *  *  *  *  * 16  * | 0  0  0  0  0  1  0 0 1 0 1 | 0 1 0 1 1
.. .. .x3.o *c3.o    ♦ 0  6 |  0  0  0  12 |  0  0   0  0  0  0  4  4 | * *  *  *  *  *  *  *  *  *  *  * 16 | 0  0  0  0  0  0  1 0 0 1 1 | 0 0 1 1 1
---------------------+------+--------------+--------------------------+--------------------------------------+-----------------------------+----------
.. o.3o.3o. *c3x.    ♦ 8  0 | 24  0  0   0 | 32  0   0  0  0  0  0  0 | 8 8  0  0  0  0  0  0  0  0  0  0  0 | 1  *  *  *  *  *  * * * * * | 0 0 0 2 0
ox oo3ox ..    ..&#x ♦ 1  6 |  0  6  3   6 |  0  3   6  0  3  2  0  0 | 0 0  3  0  2  0  0  1  0  0  0  0  0 | * 32  *  *  *  *  * * * * * | 1 1 0 0 0
ox .. ox3oo    ..&#x ♦ 1  6 |  0  6  3   6 |  0  3   6  0  3  0  2  0 | 0 0  3  0  0  2  0  0  1  0  0  0  0 | *  * 32  *  *  *  * * * * * | 1 0 1 0 0
ox .. ox .. *c3xo&#x ♦ 3  6 |  3 12  3   6 |  1  6   6  6  3  0  0  2 | 0 0  3  3  0  0  2  0  0  1  0  0  0 | *  *  * 32  *  *  * * * * * | 0 1 1 0 0
.. oo3ox3oo    ..&#x ♦ 1  6 |  0  6  0  12 |  0  0  12  0  0  4  4  0 | 0 0  0  0  4  4  0  0  0  0  1  0  0 | *  *  *  * 16  *  * * * * * | 1 0 0 1 0
.. oo3ox .. *c3xo&#x ♦ 4  6 |  6 12  0  12 |  4  0  12  6  0  4  0  4 | 1 0  0  0  4  0  4  0  0  0  0  1  0 | *  *  *  *  * 16  * * * * * | 0 1 0 1 0
.. .. ox3oo *c3xo&#x ♦ 4  6 |  6 12  0  12 |  4  0  12  6  0  0  4  4 | 0 1  0  0  0  4  4  0  0  0  0  0  1 | *  *  *  *  *  * 16 * * * * | 0 0 1 1 0
.x .o3.x3.o    ..    ♦ 0 12 |  0  0  6  24 |  0  0   0  0 12  8  8  0 | 0 0  0  0  0  0  0  4  4  0  2  0  0 | *  *  *  *  *  *  * 8 * * * | 1 0 0 0 1
.x .o3.x .. *c3.o    ♦ 0 12 |  0  0  6  24 |  0  0   0  0 12  8  0  8 | 0 0  0  0  0  0  0  4  0  4  0  2  0 | *  *  *  *  *  *  * * 8 * * | 0 1 0 0 1
.x .. .x3.o *c3.o    ♦ 0 12 |  0  0  6  24 |  0  0   0  0 12  0  8  8 | 0 0  0  0  0  0  0  0  4  4  0  0  2 | *  *  *  *  *  *  * * * 8 * | 0 0 1 0 1
.. .o3.x3.o *c3.o    ♦ 0 24 |  0  0  0  96 |  0  0   0  0  0 32 32 32 | 0 0  0  0  0  0  0  0  0  0  8  8  8 | *  *  *  *  *  *  * * * * 2 | 0 0 0 1 1
---------------------+------+--------------+--------------------------+--------------------------------------+-----------------------------+----------
ox oo3ox3oo    ..&#x ♦ 1 12 |  0 12  6  24 |  0  6  24  0 12  8  8  0 | 0 0 12  0  8  8  0  4  4  0  2  0  0 | 0  4  4  0  2  0  0 1 0 0 0 | 8 * * * *
ox oo3ox .. *c3xo&#x ♦ 4 12 |  6 24  6  24 |  4 12  24 12 12  8  0  8 | 1 0 12  6  8  0  8  4  0  4  0  2  0 | 0  4  0  4  0  2  0 0 1 0 0 | * 8 * * *
ox .. ox3oo *c3xo&#x ♦ 4 12 |  6 24  6  24 |  4 12  24 12 12  0  8  8 | 0 1 12  6  0  8  8  0  4  4  0  0  2 | 0  0  4  4  0  0  2 0 0 1 0 | * * 8 * *
.. oo3ox3oo *c3xo&#x ♦ 8 24 | 24 48  0  96 | 32  0  96 24  0 32 32 32 | 8 8  0  0 32 32 32  0  0  0  8  8  8 | 1  0  0  0  8  8  8 0 0 0 1 | * * * 2 *
.x .o3.x3.o *c3.o    ♦ 0 48 |  0  0 24 192 |  0  0   0  0 96 64 64 64 | 0 0  0  0  0  0  0 32 32 32 16 16 16 | 0  0  0  0  0  0  0 8 8 8 2 | * * * * 1

top of page