Acronym icathex
Name ico atop thex,
ico-first segment of sart
Circumradius sqrt(3) = 1.732051
Confer
uniform relative:
sart  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

ox3xx3oo4oo&#x   → height = 0.707107
(ico || thex)

o.3o.3o.4o.    | 24  * |  8  2  0  0 |  4  8  1  8  0  0 |  4 2  4  8  0 0 | 1  4 2 0
.o3.o3.o4.o    |  * 48 |  0  1  1  4 |  0  0  1  4  4  4 |  0 0  4  4  4 1 | 0  4 1 1
---------------+-------+-------------+-------------------+-----------------+---------
.. x. .. ..    |  2  0 | 96  *  *  * |  1  2  0  1  0  0 |  2 1  1  2  0 0 | 1  2 1 0
oo3oo3oo4oo&#x |  1  1 |  * 48  *  * |  0  0  1  4  0  0 |  0 0  4  4  0 0 | 0  4 1 0
.x .. .. ..    |  0  2 |  *  * 24  * |  0  0  1  0  4  0 |  0 0  4  0  4 0 | 0  4 0 1
.. .x .. ..    |  0  2 |  *  *  * 96 |  0  0  0  1  1  2 |  0 0  1  2  2 1 | 0  2 1 1
---------------+-------+-------------+-------------------+-----------------+---------
o.3x. .. ..    |  3  0 |  3  0  0  0 | 32  *  *  *  *  * |  2 0  1  0  0 0 | 1  2 0 0
.. x.3o. ..    |  3  0 |  3  0  0  0 |  * 64  *  *  *  * |  1 1  0  1  0 0 | 1  1 1 0
ox .. .. ..&#x |  1  2 |  0  2  1  0 |  *  * 24  *  *  * |  0 0  4  0  0 0 | 0  4 0 0
.. xx .. ..&#x |  2  2 |  1  2  0  1 |  *  *  * 96  *  * |  0 0  1  2  0 0 | 0  2 1 0
.x3.x .. ..    |  0  6 |  0  0  3  3 |  *  *  *  * 32  * |  0 0  1  0  2 0 | 0  2 0 1
.. .x3.o ..    |  0  3 |  0  0  0  3 |  *  *  *  *  * 64 |  0 0  0  1  1 1 | 0  1 1 1
---------------+-------+-------------+-------------------+-----------------+---------
o.3x.3o. ..      6  0 | 12  0  0  0 |  4  4  0  0  0  0 | 16 *  *  *  * * | 1  1 0 0
.. x.3o.4o.      6  0 | 12  0  0  0 |  0  8  0  0  0  0 |  * 8  *  *  * * | 1  0 1 0
ox3xx .. ..&#x   3  6 |  3  6  3  3 |  1  0  3  3  1  0 |  * * 32  *  * * | 0  2 0 0
.. xx3oo ..&#x   3  3 |  3  3  0  3 |  0  1  0  3  0  1 |  * *  * 64  * * | 0  1 1 0
.x3.x3.o ..      0 12 |  0  0  6 12 |  0  0  0  0  4  4 |  * *  *  * 16 * | 0  1 0 1
.. .x3.o4.o      0  6 |  0  0  0 12 |  0  0  0  0  0  8 |  * *  *  *  * 8 | 0  0 1 1
---------------+-------+-------------+-------------------+-----------------+---------
o.3x.3o.4o.     24  0 | 96  0  0  0 | 32 64  0  0  0  0 | 16 8  0  0  0 0 | 1  * * *
ox3xx3oo ..&#x   6 12 | 12 12  6 12 |  4  4  6 12  4  4 |  1 0  4  4  1 0 | * 16 * *
.. xx3oo4oo&#x   6  6 | 12  6  0 12 |  0  8  0 12  0  8 |  0 1  0  8  0 1 | *  * 8 *
.x3.x3.o4.o      0 48 |  0  0 24 96 |  0  0  0  0 32 64 |  0 0  0  0 16 8 | *  * * 1

oo3xx3oo *b3ox&#x   → height = 0.707107
(ico || thex)

o.3o.3o. *b3o.    | 24  * |  8  2  0  0 |  4  4  4  8  1  0  0  0 | 2 2 2  4  4  4 0 0 0 | 1 2 2 2 0
.o3.o3.o *b3.o    |  * 48 |  0  1  4  1 |  0  0  0  4  1  2  2  4 | 0 0 0  2  2  4 1 2 2 | 0 1 2 2 1
------------------+-------+-------------+-------------------------+----------------------+----------
.. x. ..    ..    |  2  0 | 96  *  *  * |  1  1  1  1  0  0  0  0 | 1 1 1  1  1  1 0 0 0 | 1 1 1 1 0
oo3oo3oo *b3oo&#x |  1  1 |  * 48  *  * |  0  0  0  4  1  0  0  0 | 0 0 0  2  2  4 0 0 0 | 0 1 2 2 0
.. .x ..    ..    |  0  2 |  *  * 96  * |  0  0  0  1  0  1  1  1 | 0 0 0  1  1  1 1 1 1 | 0 1 1 1 1
.. .. ..    .x    |  0  2 |  *  *  * 24 |  0  0  0  0  1  0  0  4 | 0 0 0  0  0  4 0 2 2 | 0 0 2 2 1
------------------+-------+-------------+-------------------------+----------------------+----------
o.3x. ..    ..    |  3  0 |  3  0  0  0 | 32  *  *  *  *  *  *  * | 1 1 0  1  0  0 0 0 0 | 1 1 1 0 0
.. x.3o.    ..    |  3  0 |  3  0  0  0 |  * 32  *  *  *  *  *  * | 1 0 1  0  1  0 0 0 0 | 1 1 0 1 0
.. x. .. *b3o.    |  3  0 |  3  0  0  0 |  *  * 32  *  *  *  *  * | 0 1 1  0  0  1 0 0 0 | 1 0 1 1 0
.. xx ..    ..&#x |  2  2 |  1  2  1  0 |  *  *  * 96  *  *  *  * | 0 0 0  1  1  1 0 0 0 | 0 1 1 1 0
.. .. ..    ox&#x |  1  2 |  0  2  0  1 |  *  *  *  * 24  *  *  * | 0 0 0  0  0  4 0 0 0 | 0 0 2 2 0
.o3.x ..    ..    |  0  3 |  0  0  3  0 |  *  *  *  *  * 32  *  * | 0 0 0  1  0  0 1 1 0 | 0 1 1 0 1
.. .x3.o    ..    |  0  3 |  0  0  3  0 |  *  *  *  *  *  * 32  * | 0 0 0  0  1  0 1 0 1 | 0 1 0 1 1
.. .x .. *b3.x    |  0  6 |  0  0  3  3 |  *  *  *  *  *  *  * 32 | 0 0 0  0  0  1 0 1 1 | 0 0 1 1 1
------------------+-------+-------------+-------------------------+----------------------+----------
o.3x.3o.    ..      6  0 | 12  0  0  0 |  4  4  0  0  0  0  0  0 | 8 * *  *  *  * * * * | 1 1 0 0 0
o.3x. .. *b3o.      6  0 | 12  0  0  0 |  4  0  4  0  0  0  0  0 | * 8 *  *  *  * * * * | 1 0 1 0 0
.. x.3o. *b3o.      6  0 | 12  0  0  0 |  0  4  4  0  0  0  0  0 | * * 8  *  *  * * * * | 1 0 0 1 0
oo3xx ..    ..&#x   3  3 |  3  3  3  0 |  1  0  0  3  0  1  0  0 | * * * 32  *  * * * * | 0 1 1 0 0
.. xx3oo    ..&#x   3  3 |  3  3  3  0 |  0  1  0  3  0  0  1  0 | * * *  * 32  * * * * | 0 1 0 1 0
.. xx .. *b3ox&#x   3  6 |  3  6  3  3 |  0  0  1  3  3  0  0  1 | * * *  *  * 32 * * * | 0 0 1 1 0
.o3.x3.o    ..      0  6 |  0  0 12  0 |  0  0  0  0  0  4  4  0 | * * *  *  *  * 8 * * | 0 1 0 0 1
.o3.x .. *b3.x      0 12 |  0  0 12  6 |  0  0  0  0  0  4  0  4 | * * *  *  *  * * 8 * | 0 0 1 0 1
.. .x3.o *b3.x      0 12 |  0  0 12  6 |  0  0  0  0  0  0  4  4 | * * *  *  *  * * * 8 | 0 0 0 1 1
------------------+-------+-------------+-------------------------+----------------------+----------
o.3x.3o. *b3o.     24  0 | 96  0  0  0 | 32 32 32  0  0  0  0  0 | 8 8 8  0  0  0 0 0 0 | 1 * * * *
oo3xx3oo    ..&#x   6  6 | 12  6 12  0 |  4  4  0 12  0  4  4  0 | 1 0 0  4  4  0 1 0 0 | * 8 * * *
oo3xx .. *b3ox&#x   6 12 | 12 12 12  6 |  4  0  4 12  6  4  0  4 | 0 1 0  4  0  4 0 1 0 | * * 8 * *
.. xx3oo *b3ox&#x   6 12 | 12 12 12  6 |  0  4  4 12  6  0  4  4 | 0 0 1  0  4  4 0 0 1 | * * * 8 *
.o3.x3.o *b3.x      0 48 |  0  0 96 24 |  0  0  0  0  0 32 32 32 | 0 0 0  0  0  0 8 8 8 | * * * * 1

© 2004-2019
top of page