Acronym penppy
Name penp pyramid,
vertex-pyramid of ril
|,>,O device line pyramid pyramid pyramid prism pyramid = |>>>|>
Circumradius sqrt(5/7) = 0.845154
Lace city
in approx. ASCII-art
o3o3o3o   x3o3o3o
                 
                 
                 
                 
  x3o3o3o        
Confer
uniform relative:
ril  
related segmentopeta:
rapa penp  
general polytopal classes:
segmentopeta  

Incidence matrix according to Dynkin symbol

ox3oo3oo3oo ox&#x   → height = sqrt(7/20) = 0.591608
(pt || penp)

o.3o.3o.3o. o.    | 1  *  10  0 0 | 20 5  0  0 | 20 10  0  0 | 10 10 0 0 | 2 5 0
.o3.o3.o3.o .o    | * 10 |  1  4 1 |  4 1  6  4 |  6  4  4  6 |  4  6 1 4 | 1 4 1
------------------+------+---------+------------+-------------+-----------+------
oo3oo3oo3oo oo&#x | 1  1 | 10  * * |  4 1  0  0 |  6  4  0  0 |  4  6 0 0 | 1 4 0
.x .. .. .. ..    | 0  2 |  * 20 * |  1 0  3  1 |  3  1  3  3 |  3  3 1 3 | 1 3 1
.. .. .. .. .x    | 0  2 |  *  * 5 |  0 1  0  4 |  0  4  0  6 |  0  6 0 4 | 0 4 1
------------------+------+---------+------------+-------------+-----------+------
ox .. .. .. ..&#x | 1  2 |  2  1 0 | 20 *  *  * |  3  1  0  0 |  3  3 0 0 | 1 3 0
.. .. .. .. ox&#x | 1  2 |  2  0 1 |  * 5  *  *   0  4  0  0 |  0  6 0 0 | 0 4 0
.x3.o .. .. ..    | 0  3 |  0  3 0 |  * * 20  * |  1  0  2  1 |  2  1 1 2 | 1 2 1
.x .. .. .. .x    | 0  4 |  0  2 2 |  * *  * 10 |  0  1  0  3 |  0  3 0 3 | 0 3 1
------------------+------+---------+------------+-------------+-----------+------
ox3oo .. .. ..&#x  1  3 |  3  3 0 |  3 0  1  0 | 20  *  *  * |  2  1 0 0 | 1 2 0
ox .. .. .. ox&#x  1  4 |  4  2 2 |  2 2  0  1 |  * 10  *  * |  0  3 0 0 | 0 3 0
.x3.o3.o .. ..     0  4 |  0  6 0 |  0 0  4  0 |  *  * 10  * |  1  0 1 1 | 1 1 1
.x3.o .. .. .x     0  6 |  0  6 3 |  0 0  2  3 |  *  *  * 10 |  0  1 0 2 | 0 2 1
------------------+------+---------+------------+-------------+-----------+------
ox3oo3oo .. ..&#x  1  4 |  4  6 0 |  6 0  4  0 |  4  0  1  0 | 10  * * * | 1 1 0
ox3oo .. .. ox&#x  1  6 |  6  6 3 |  6 3  2  3 |  2  3  0  1 |  * 10 * * | 0 2 0
.x3.o3.o3.o ..     0  5 |  0 10 0 |  0 0 10  0 |  0  0  5  0 |  *  * 2 * | 1 0 1
.x3.o3.o .. .x     0  8 |  0 12 4 |  0 0  8  6 |  0  0  2  4 |  *  * * 5 | 0 1 1
------------------+------+---------+------------+-------------+-----------+------
ox3oo3oo3oo ..&#x  1  5 |  5 10 0 | 10 0 10  0 | 10  0  5  0 |  5  0 1 0 | 2 * *
ox3oo3oo .. ox&#x  1  8 |  8 12 4 | 12 4  8  6 |  8  6  2  4 |  2  4 0 1 | * 5 *
.x3.o3.o3.o .x     0 10 |  0 20 5 |  0 0 20 10 |  0  0 10 10 |  0  0 2 5 | * * 1

oxx3ooo3ooo3ooo&#x   → height(1,2) = height(1,3) = sqrt(3/5) = 0.774597
                       height(2,3) = 1

o..3o..3o..3o..    | 1 * *  5 5  0 0  0 | 10 5 10  0  0  0 | 10 10 10 0  0 0 | 5 10 5 0 0 0 | 1 5 1 0
.o.3.o.3.o.3.o.    | * 5 * | 1 0  4 1  0 |  4 1  0  6  4  0 |  6  4  0 4  6 0 | 4  6 0 1 4 0 | 1 4 0 1
..o3..o3..o3..o    | * * 5 | 0 1  0 1  4 |  0 1  4  0  4  6 |  0  4  6 0  6 4 | 0  6 4 0 4 1 | 0 4 1 1
-------------------+-------+-------------+------------------+-----------------+--------------+--------
oo.3oo.3oo.3oo.&#x | 1 1 0 | 5 *  * *  * |  4 1  0  0  0  0 |  6  4  0 0  0 0 | 4  6 0 0 0 0 | 1 4 0 0
o.o3o.o3o.o3o.o&#x | 1 0 1 | * 5  * *  * |  0 1  4  0  0  0 |  0  4  6 0  0 0 | 0  6 4 0 0 0 | 0 4 1 0
.x. ... ... ...    | 0 2 0 | * * 10 *  * |  1 0  0  3  1  0 |  3  1  0 3  3 0 | 3  3 0 1 3 0 | 1 3 0 1
.oo3.oo3.oo3.oo&#x | 0 1 1 | * *  * 5  * |  0 1  0  0  4  0 |  0  4  0 0  6 0 | 0  6 0 0 4 0 | 0 4 0 1
..x ... ... ...    | 0 0 2 | * *  * * 10 |  0 0  1  0  1  3 |  0  1  3 0  3 3 | 0  3 3 0 3 1 | 0 3 1 1
-------------------+-------+-------------+------------------+-----------------+--------------+--------
ox. ... ... ...&#x | 1 2 0 | 2 0  1 0  0 | 10 *  *  *  *  * |  3  1  0 0  0 0 | 3  3 0 0 0 0 | 1 3 0 0
ooo3ooo3ooo3ooo&#x | 1 1 1 | 1 1  0 1  0 |  * 5  *  *  *  *   0  4  0 0  0 0 | 0  6 0 0 0 0 | 0 4 0 0
o.x ... ... ...&#x | 1 0 2 | 0 2  0 0  1 |  * * 10  *  *  * |  0  1  3 0  0 0 | 0  3 3 0 0 0 | 0 3 1 0
.x.3.o. ... ...    | 0 3 0 | 0 0  3 0  0 |  * *  * 10  *  * |  1  0  0 2  1 0 | 2  1 0 1 2 0 | 1 2 0 1
.xx ... ... ...&#x | 0 2 2 | 0 0  1 2  1 |  * *  *  * 10  * |  0  1  0 0  3 0 | 0  3 0 0 3 0 | 0 3 0 1
..x3..o ... ...    | 0 0 3 | 0 0  0 0  3 |  * *  *  *  * 10 |  0  0  1 0  1 2 | 0  1 2 0 2 1 | 0 2 1 1
-------------------+-------+-------------+------------------+-----------------+--------------+--------
ox.3oo. ... ...&#x  1 3 0 | 3 0  3 0  0 |  3 0  0  1  0  0 | 10  *  * *  * * | 2  1 0 0 0 0 | 1 2 0 0
oxx ... ... ...&#x  1 2 2 | 2 2  1 2  1 |  1 2  1  0  1  0 |  * 10  * *  * * | 0  3 0 0 0 0 | 0 3 0 0
o.x3o.o ... ...&#x  1 0 3 | 0 3  0 0  3 |  0 0  3  0  0  1 |  *  * 10 *  * * | 0  1 2 0 0 0 | 0 2 1 0
.x.3.o.3.o. ...     0 4 0 | 0 0  6 0  0 |  0 0  0  4  0  0 |  *  *  * 5  * * | 1  0 0 1 1 0 | 1 1 0 1
.xx3.oo ... ...&#x  0 3 3 | 0 0  3 3  3 |  0 0  0  1  3  1 |  *  *  * * 10 * | 0  1 0 0 2 0 | 0 2 0 1
..x3..o3..o ...     0 0 4 | 0 0  0 0  6 |  0 0  0  0  0  4 |  *  *  * *  * 5 | 0  0 1 0 1 1 | 0 1 1 1
-------------------+-------+-------------+------------------+-----------------+--------------+--------
ox.3oo.3oo. ...&#x  1 4 0 | 4 0  6 0  0 |  6 0  0  4  0  0 |  4  0  0 1  0 0 | 5  * * * * * | 1 1 0 0
oxx3ooo ... ...&#x  1 3 3 | 3 3  3 3  3 |  3 3  3  1  3  1 |  1  3  1 0  1 0 | * 10 * * * * | 0 2 0 0
o.x3o.o3o.o ...&#x  1 0 4 | 0 4  0 0  6 |  0 0  6  0  0  4 |  0  0  4 0  0 1 | *  * 5 * * * | 0 1 1 0
.x.3.o.3.o.3.o.     0 5 0 | 0 0 10 0  0 |  0 0  0 10  0  0 |  0  0  0 5  0 0 | *  * * 1 * * | 1 0 0 1
.xx3.oo3.oo ...&#x  0 4 4 | 0 0  6 4  6 |  0 0  0  4  6  4 |  0  0  0 1  4 1 | *  * * * 5 * | 0 1 0 1
..x3..o3..o3..o     0 0 5 | 0 0  0 0 10 |  0 0  0  0  0 10 |  0  0  0 0  0 5 | *  * * * * 1 | 0 0 1 1
-------------------+-------+-------------+------------------+-----------------+--------------+--------
ox.3oo.3oo.3oo.&#x  1 5 0 | 5 0 10 0  0 | 10 0  0 10  0  0 | 10  0  0 5  0 0 | 5  0 0 1 0 0 | 1 * * *
oxx3ooo3ooo ...&#x  1 4 4 | 4 4  6 4  6 |  6 4  6  4  6  4 |  4  6  4 1  4 1 | 1  4 1 0 1 0 | * 5 * *
o.x3o.o3o.o3o.o&#x  1 0 5 | 0 5  0 0 10 |  0 0 10  0  0 10 |  0  0 10 0  0 5 | 0  0 5 0 0 1 | * * 1 *
.xx3.oo3.oo3.oo&#x  0 5 5 | 0 0 10 5 10 |  0 0  0 10 10 10 |  0  0  0 5 10 5 | 0  0 0 1 5 1 | * * * 1

© 2004-2021
top of page