- more general:
- n,m-dippip n,n-dippip 5,n-dippip
- general polytopal classes:
- segmentotera
links
| Acronym | pepip |
| Name | pentagon duoprismatic prism |
| Circumradius | sqrt[(25+4 sqrt(5))/20] = 1.302772 |
| Volume | [25+10 sqrt(5)]/16 = 2.960042 |
| Face vector | 50, 125, 120, 55, 12 |
| Confer |
|
|
External links |
|
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
© 2004-2025 | top of page |