Acronym octatuttip
Name oct atop tuttip
Circumradius sqrt(2) = 1.414214
Lace city
in approx. ASCII-art
     o3x3o     
               
x3x3o     x3x3o
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

ox oo3xx3ox&#x   → height = sqrt(3/8) = 0.612372
(oct || tuttip)

o. o.3o.3o.    | 6  * |  4  4  0  0  0 | 2 2  2  8  2  0 0 0 0 | 1  4 1 4 4 0 0 0 | 2 2 2 0
.o .o3.o3.o    | * 24 |  0  1  1  2  1 | 0 0  1  2  1  2 1 1 2 | 0  2 1 1 2 1 2 1 | 1 2 1 1
---------------+------+----------------+-----------------------+------------------+--------
.. .. x. ..    | 2  0 | 12  *  *  *  * | 1 1  0  1  0  0 0 0 0 | 1  1 0 2 2 0 0 0 | 1 1 2 0
oo oo3oo3oo&#x | 1  1 |  * 24  *  *  * | 0 0  1  2  1  0 0 0 0 | 0  2 1 1 2 0 0 0 | 1 2 1 0
.x .. .. ..    | 0  2 |  *  * 12  *  * | 0 0  1  0  0  2 1 0 0 | 0  2 1 0 0 1 2 0 | 1 2 0 1
.. .. .x ..    | 0  2 |  *  *  * 24  * | 0 0  0  1  0  1 0 1 1 | 0  1 0 1 1 1 1 1 | 1 1 1 1
.. .. .. .x    | 0  2 |  *  *  *  * 12 | 0 0  0  0  1  0 1 0 2 | 0  0 1 0 2 0 2 1 | 0 2 1 1
---------------+------+----------------+-----------------------+------------------+--------
.. o.3x. ..    | 3  0 |  3  0  0  0  0 | 4 *  *  *  *  * * * * | 1  0 0 2 0 0 0 0 | 1 0 2 0
.. .. x.3o.    | 3  0 |  3  0  0  0  0 | * 4  *  *  *  * * * * | 1  0 0 0 2 0 0 0 | 0 1 2 0
ox .. .. ..&#x | 1  2 |  0  2  1  0  0 | * * 12  *  *  * * * * | 0  2 1 0 0 0 0 0 | 1 2 0 0
.. .. xx ..&#x | 2  2 |  1  2  0  1  0 | * *  * 24  *  * * * * | 0  1 0 1 1 0 0 0 | 1 1 1 0
.. .. .. ox&#x | 1  2 |  0  2  0  0  1 | * *  *  * 12  * * * * | 0  0 1 0 2 0 0 0 | 0 2 1 0
.x .. .x ..    | 0  4 |  0  0  2  2  0 | * *  *  *  * 12 * * * | 0  1 0 0 0 1 1 0 | 1 1 0 1
.x .. .. .x    | 0  4 |  0  0  2  0  2 | * *  *  *  *  * 6 * * | 0  0 1 0 0 0 2 0 | 0 2 0 1
.. .o3.x ..    | 0  3 |  0  0  0  3  0 | * *  *  *  *  * * 8 * | 0  0 0 1 0 1 0 1 | 1 0 1 1
.. .. .x3.x    | 0  6 |  0  0  0  3  3 | * *  *  *  *  * * * 8 | 0  0 0 0 1 0 1 1 | 0 1 1 1
---------------+------+----------------+-----------------------+------------------+--------
.. o.3x.3o.     6  0 | 12  0  0  0  0 | 4 4  0  0  0  0 0 0 0 | 1  * * * * * * * | 0 0 2 0
ox .. xx ..&#x  2  4 |  1  4  2  2  0 | 0 0  2  2  0  1 0 0 0 | * 12 * * * * * * | 1 1 0 0
ox .. .. ox&#x  1  4 |  0  4  2  0  2 | 0 0  2  0  2  0 1 0 0 | *  * 6 * * * * * | 0 2 0 0
.. oo3xx ..&#x  3  3 |  3  3  0  3  0 | 1 0  0  3  0  0 0 1 0 | *  * * 8 * * * * | 1 0 1 0
.. .. xx3ox&#x  3  6 |  3  6  0  3  3 | 0 1  0  3  3  0 0 0 1 | *  * * * 8 * * * | 0 1 1 0
.x .o3.x ..     0  6 |  0  0  3  6  0 | 0 0  0  0  0  3 0 2 0 | *  * * * * 4 * * | 1 0 0 1
.x .. .x3.x     0 12 |  0  0  6  6  6 | 0 0  0  0  0  3 3 0 2 | *  * * * * * 4 * | 0 1 0 1
.. .o3.x3.x     0 12 |  0  0  0 12  6 | 0 0  0  0  0  0 0 4 4 | *  * * * * * * 2 | 0 0 1 1
---------------+------+----------------+-----------------------+------------------+--------
ox oo3xx ..&#x  3  6 |  3  6  3  6  0 | 1 0  3  6  0  3 0 2 0 | 0  3 0 2 0 1 0 0 | 4 * * *
ox .. xx3ox&#x  3 12 |  3 12  6  6  6 | 0 1  6  6  6  3 3 0 2 | 0  3 3 0 2 0 1 0 | * 4 * *
.. oo3xx3ox&#x  6 12 | 12 12  0 12  6 | 4 4  0 12  6  0 0 4 4 | 1  0 0 4 4 0 0 1 | * * 2 *
.x .o3.x3.x     0 24 |  0  0 12 24 12 | 0 0  0  0  0 12 6 8 8 | 0  0 0 0 0 4 4 2 | * * * 1

© 2004-2019
top of page