Acronym pepip
Name pentagon duoprismatic prism
Circumradius sqrt[(25+4 sqrt(5))/20] = 1.302772
Volume [25+10 sqrt(5)]/16 = 2.960042
Confer
more general:
n,m-dippip   n,n-dippip   5,n-dippip  
general polytopal classes:
segmentotera  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol


x x5o x5o

. . . . . | 50 |  1  2  2 |  2  2  1  4  1 | 1  4 1  2  2 | 2 2 1
----------+----+----------+----------------+--------------+------
x . . . . |  2 | 25  *  * |  2  2  0  0  0 | 1  4 1  0  0 | 2 2 0
. x . . . |  2 |  * 50  * |  1  0  1  2  0 | 1  2 0  2  1 | 2 1 1
. . . x . |  2 |  *  * 50 |  0  1  0  2  1 | 0  2 1  1  2 | 1 2 1
----------+----+----------+----------------+--------------+------
x x . . . |  4 |  2  2  0 | 25  *  *  *  * | 1  2 0  0  0 | 2 1 0
x . . x . |  4 |  2  0  2 |  * 25  *  *  * | 0  2 1  0  0 | 1 2 0
. x5o . . |  5 |  0  5  0 |  *  * 10  *  * | 1  0 0  2  0 | 2 0 1
. x . x . |  4 |  0  2  2 |  *  *  * 50  * | 0  1 0  1  1 | 1 1 1
. . . x5o |  5 |  0  0  5 |  *  *  *  * 10 | 0  0 1  0  2 | 0 2 1
----------+----+----------+----------------+--------------+------
x x5o . .  10 |  5 10  0 |  5  0  2  0  0 | 5  * *  *  * | 2 0 0
x x . x .   8 |  4  4  4 |  2  2  0  2  0 | * 25 *  *  * | 1 1 0
x . . x5o  10 |  5  0 10 |  0  5  0  0  2 | *  * 5  *  * | 0 2 0
. x5o x .  10 |  0 10  5 |  0  0  2  5  0 | *  * * 10  * | 1 0 1
. x . x5o  10 |  0  5 10 |  0  0  0  5  2 | *  * *  * 10 | 0 1 1
----------+----+----------+----------------+--------------+------
x x5o x .  20 | 10 20 10 | 10  5  4 10  0 | 2  5 0  2  0 | 5 * *
x x . x5o  20 | 10 10 20 |  5 10  0 10  4 | 0  5 2  0  2 | * 5 *
. x5o x5o  25 |  0 25 25 |  0  0  5 25  5 | 0  0 0  5  5 | * * 2

xx5oo xx5oo&#x   → height = 1
(pedip || pedip)

o.5o. o.5o.    | 25  * |  2  2  1  0  0 | 1  4 1  2  2 0  0 0 | 2 2 1  4 1 0 0 | 1 2 2 0
.o5.o .o5.o    |  * 25 |  0  0  1  2  2 | 0  0 0  2  2 1  4 1 | 0 0 1  4 1 2 2 | 0 2 2 1
---------------+-------+----------------+---------------------+----------------+--------
x. .. .. ..    |  2  0 | 25  *  *  *  * | 1  2 0  1  0 0  0 0 | 2 1 1  2 0 0 0 | 1 2 1 0
.. .. x. ..    |  2  0 |  * 25  *  *  * | 0  2 1  0  1 0  0 0 | 1 2 0  2 1 0 0 | 1 1 2 0
oo5oo oo5oo&#x |  1  1 |  *  * 25  *  * | 0  0 0  2  2 0  0 0 | 0 0 1  4 1 0 0 | 0 2 2 0
.x .. .. ..    |  0  2 |  *  *  * 25  * | 0  0 0  1  0 1  2 0 | 0 0 1  2 0 2 1 | 0 2 1 1
.. .. .x ..    |  0  2 |  *  *  *  * 25 | 0  0 0  0  1 0  2 1 | 0 0 0  2 1 1 2 | 0 1 2 1
---------------+-------+----------------+---------------------+----------------+--------
x.5o. .. ..    |  5  0 |  5  0  0  0  0 | 5  * *  *  * *  * * | 2 0 1  0 0 0 0 | 1 2 0 0
x. .. x. ..    |  4  0 |  2  2  0  0  0 | * 25 *  *  * *  * * | 1 1 0  1 0 0 0 | 1 1 1 0
.. .. x.5o.    |  5  0 |  0  5  0  0  0 | *  * 5  *  * *  * * | 0 2 0  0 1 0 0 | 1 0 2 0
xx .. .. ..&#x |  2  2 |  1  0  2  1  0 | *  * * 25  * *  * * | 0 0 1  2 0 0 0 | 0 2 1 0
.. .. xx ..&#x |  2  2 |  0  1  2  0  1 | *  * *  * 25 *  * * | 0 0 0  2 1 0 0 | 0 1 2 0
.x5.o .. ..    |  0  5 |  0  0  0  5  0 | *  * *  *  * 5  * * | 0 0 1  0 0 2 0 | 0 2 0 1
.x .. .x ..    |  0  4 |  0  0  0  2  2 | *  * *  *  * * 25 * | 0 0 0  1 0 1 1 | 0 1 1 1
.. .. .x5.o    |  0  5 |  0  0  0  0  5 | *  * *  *  * *  * 5 | 0 0 0  0 1 0 2 | 0 0 2 1
---------------+-------+----------------+---------------------+----------------+--------
x.5o. x. ..     10  0 | 10  5  0  0  0 | 2  5 0  0  0 0  0 0 | 5 * *  * * * * | 1 1 0 0
x. .. x.5o.     10  0 |  5 10  0  0  0 | 0  5 2  0  0 0  0 0 | * 5 *  * * * * | 1 0 1 0
xx5oo .. ..&#x   5  5 |  5  0  5  5  0 | 1  0 0  5  0 1  0 0 | * * 5  * * * * | 0 2 0 0
xx .. xx ..&#x   4  4 |  2  2  4  2  2 | 0  1 0  2  2 0  1 0 | * * * 25 * * * | 0 1 1 0
.. .. xx5oo&#x   5  5 |  0  5  5  0  5 | 0  0 1  0  5 0  0 1 | * * *  * 5 * * | 0 0 2 0
.x5.o .x ..      0 10 |  0  0  0 10  5 | 0  0 0  0  0 2  5 0 | * * *  * * 5 * | 0 1 0 1
.x .. .x5.o      0 10 |  0  0  0  5 10 | 0  0 0  0  0 0  5 2 | * * *  * * * 5 | 0 0 1 1
---------------+-------+----------------+---------------------+----------------+--------
x.5o. x.5o.     25  0 | 25 25  0  0  0 | 5 25 5  0  0 0  0 0 | 5 5 0  0 0 0 0 | 1 * * *
xx5oo xx ..&#x  10 10 | 10  5 10 10  5 | 2  5 0 10  5 2  5 0 | 1 0 2  5 0 1 0 | * 5 * *
xx .. xx5oo&#x  10 10 |  5 10 10  5 10 | 0  5 2  5 10 0  5 2 | 0 1 0  5 2 0 1 | * * 5 *
.x5.o .x5.o      0 25 |  0  0  0 25 25 | 0  0 0  0  0 5 25 5 | 0 0 0  0 0 5 5 | * * * 1

© 2004-2021
top of page