Acronym pendpy
Name pentachoral dipyramid
Confer
general polytopal classes:
pentachorotera   Blind polytopes  

Incidence matrix according to Dynkin symbol

oxo3ooo3ooo3ooo&#xt   → both heights = sqrt(3/5) = 0.774597
(pt || pseudo pen || pt)

o..3o..3o..3o..    | 1 * *  5  0 0 | 10  0  0 | 10 0  0 | 5 0
.o.3.o.3.o.3.o.    | * 5 *  1  4 1 |  4  6  4 |  6 4  6 | 4 4
..o3..o3..o3..o    | * * 1  0  0 5 |  0  0 10 |  0 0 10 | 0 5
-------------------+-------+--------+----------+---------+----
oo.3oo.3oo.3oo.&#x | 1 1 0 | 5  * *   4  0  0 |  6 0  0 | 4 0
.x. ... ... ...    | 0 2 0 | * 10 *   1  3  1 |  3 3  3 | 3 3
.oo3.oo3.oo3.oo&#x | 0 1 1 | *  * 5   0  0  4 |  0 0  6 | 0 4
-------------------+-------+--------+----------+---------+----
ox. ... ... ...&#x | 1 2 0 | 2  1 0 | 10  *  * |  3 0  0 | 3 0
.x.3.o. ... ...    | 0 3 0 | 0  3 0 |  * 10  * |  1 2  1 | 2 2
.xo ... ... ...&#x | 0 2 1 | 0  1 2 |  *  * 10 |  0 0  3 | 0 3
-------------------+-------+--------+----------+---------+----
ox.3oo. ... ...&#x  1 3 0 | 3  3 0 |  3  1  0 | 10 *  * | 2 0
.x.3.o.3.o. ...     0 4 0 | 0  6 0 |  0  4  0 |  * 5  * | 1 1
.xo3.oo ... ...&#x  0 3 1 | 0  3 3 |  0  1  3 |  * * 10 | 0 2
-------------------+-------+--------+----------+---------+----
ox.3oo.3oo. ...&#x  1 4 0 | 4  6 0 |  6  4  0 |  4 1  0 | 5 *
.xo3.oo3.oo ...&#x  0 4 1 | 0  6 4 |  0  4  6 |  0 1  4 | * 5
or
o..3o..3o..3o..     & | 2 *   5  0 | 10  0 | 10 0 |  5
.o.3.o.3.o.3.o.       | * 5   2  4 |  8  6 | 12 4 |  8
----------------------+-----+-------+-------+------+---
oo.3oo.3oo.3oo.&#x  & | 1 1 | 10  *   4  0 |  6 0 |  4
.x. ... ... ...       | 0 2 |  * 10   2  3 |  6 3 |  6
----------------------+-----+-------+-------+------+---
ox. ... ... ...&#x  & | 1 2 |  2  1 | 20  * |  3 0 |  3
.x.3.o. ... ...       | 0 3 |  0  3 |  * 10 |  2 2 |  4
----------------------+-----+-------+-------+------+---
ox.3oo. ... ...&#x  &  1 3 |  3  3 |  3  1 | 20 * |  2
.x.3.o.3.o. ...        0 4 |  0  6 |  0  4 |  * 5 |  2
----------------------+-----+-------+-------+------+---
ox.3oo.3oo. ...&#x  &  1 4 |  4  6 |  6  4 |  4 1 | 10

© 2004-2018
top of page