| Acronym | 5,n-dippip |
| Name | pentagon - n-gon duoprismatic prism |
| Circumradius | sqrt[(15+2 sqrt(5))/20+1/(4 sin2(π/n))] |
| Face vector | 10n, 25n, 22n+10, 8n+15, n+7 |
| Especially | trapip (n=3) pecube (n=4) pepip (n=5) pehip (n=6) pop (n=8) |
| Confer |
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Incidence matrix according to Dynkin symbol
x x5o xno (n>2) . . . . . | 10n | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ----------+-----+------------+-----------------+--------------+------ x . . . . | 2 | 5n * * | 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . x . . . | 2 | * 10n * | 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x . | 2 | * * 10n | 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ----------+-----+------------+-----------------+--------------+------ x x . . . | 4 | 2 2 0 | 5n * * * * | 1 2 0 0 0 | 2 1 0 x . . x . | 4 | 2 0 2 | * 5n * * * | 0 2 1 0 0 | 1 2 0 . x5o . . | 5 | 0 5 0 | * * 2n * * | 1 0 0 2 0 | 2 0 1 . x . x . | 4 | 0 2 2 | * * * 10n * | 0 1 0 1 1 | 1 1 1 . . . xno | n | 0 0 n | * * * * 10 | 0 0 1 0 2 | 0 2 1 ----------+-----+------------+-----------------+--------------+------ x x5o . . ♦ 10 | 5 10 0 | 5 0 2 0 0 | n * * * * | 2 0 0 x x . x . ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 5n * * * | 1 1 0 x . . xno ♦ 2n | n 0 2n | 0 n 0 0 2 | * * 5 * * | 0 2 0 . x5o x . ♦ 10 | 0 10 5 | 0 0 2 5 0 | * * * 2n * | 1 0 1 . x . xno ♦ 2n | 0 n 2n | 0 0 0 n 2 | * * * * 10 | 0 1 1 ----------+-----+------------+-----------------+--------------+------ x x5o x . ♦ 20 | 10 20 10 | 10 5 4 10 0 | 2 5 0 2 0 | n * * x x . xno ♦ 4n | 2n 2n 4n | n 2n 0 2n 4 | 0 n 2 0 2 | * 5 * . x5o xno ♦ 5n | 0 5n 5n | 0 0 n 5n 5 | 0 0 0 n 5 | * * 2
xx5oo xxnoo&#x (n>2) → height = 1
({5}{n}-dip || {5}{n}-dip)
o.5o. o.no. | 5n * | 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 .on.o | * 5n | 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 | 5n * * * * | 1 2 0 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
.. .. x. .. | 2 0 | * 5n * * * | 0 2 1 0 1 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0
oo5oo oonoo&#x | 1 1 | * * 5n * * | 0 0 0 2 2 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.x .. .. .. | 0 2 | * * * 5n * | 0 0 0 1 0 1 2 0 | 0 0 1 2 0 2 1 | 0 2 1 1
.. .. .x .. | 0 2 | * * * * 5n | 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 | n * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
x. .. x. .. | 4 0 | 2 2 0 0 0 | * 5n * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
.. .. x.no. | n 0 | 0 n 0 0 0 | * * 5 * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
xx .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * * 5n * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .. xx ..&#x | 2 2 | 0 1 2 0 1 | * * * * 5n * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.x5.o .. .. | 0 5 | 0 0 0 5 0 | * * * * * n * * | 0 0 1 0 0 2 0 | 0 2 0 1
.x .. .x .. | 0 4 | 0 0 0 2 2 | * * * * * * 5n * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .xn.o | 0 n | 0 0 0 0 n | * * * * * * * 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 | n * * * * * * | 1 1 0 0
x. .. x.no. ♦ 2n 0 | n 2n 0 0 0 | 0 n 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 | * * n * * * * | 0 2 0 0
xx .. xx ..&#x ♦ 4 4 | 2 2 4 2 2 | 0 1 0 2 2 0 1 0 | * * * 5n * * * | 0 1 1 0
.. .. xxnoo&#x ♦ n n | 0 n n 0 n | 0 0 1 0 n 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 | * * * * * n * | 0 1 0 1
.x .. .xn.o ♦ 0 2n | 0 0 0 n 2n | 0 0 0 0 0 0 n 2 | * * * * * * 5 | 0 0 1 1
---------------+-------+----------------+---------------------+----------------+--------
x.5o. x.no. ♦ 5n 0 | 5n 5n 0 0 0 | n 5n 5 0 0 0 0 0 | n 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 | * n * *
xx .. xxnoo&#x ♦ 2n 2n | n 2n 2n n 2n | 0 n 2 n 2n 0 n 2 | 0 1 0 n 2 0 1 | * * 5 *
.x5.o .xn.o ♦ 0 5n | 0 0 0 5n 5n | 0 0 0 0 0 n 5n 5 | 0 0 0 0 0 n 5 | * * * 1
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