triangle-pentagon duoprismatic prism
- more general:
- n,m-dippip 3,n-dippip 5,n-dippip
- general polytopal classes:
- segmentotera
links
| Acronym | trapip (old: trapedippip) |
| Name |
triangle pentagonal-prism duoprism, triangle-pentagon duoprismatic prism |
| Circumradius | sqrt[(65+6 sqrt(5))/60] = 1.143215 |
| Volume | sqrt[75+30 sqrt(5)]/16 = 0.744989 |
| Face vector | 30, 75, 76, 39, 10 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x x3o x5o . . . . . | 30 | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ----------+----+----------+---------------+-------------+------ x . . . . | 2 | 15 * * | 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . x . . . | 2 | * 30 * | 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x . | 2 | * * 30 | 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ----------+----+----------+---------------+-------------+------ x x . . . | 4 | 2 2 0 | 15 * * * * | 1 2 0 0 0 | 2 1 0 x . . x . | 4 | 2 0 2 | * 15 * * * | 0 2 1 0 0 | 1 2 0 . x3o . . | 3 | 0 3 0 | * * 10 * * | 1 0 0 2 0 | 2 0 1 . x . x . | 4 | 0 2 2 | * * * 30 * | 0 1 0 1 1 | 1 1 1 . . . x5o | 5 | 0 0 5 | * * * * 6 | 0 0 1 0 2 | 0 2 1 ----------+----+----------+---------------+-------------+------ x x3o . . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 5 * * * * | 2 0 0 x x . x . ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 15 * * * | 1 1 0 x . . x5o ♦ 10 | 5 0 10 | 0 5 0 0 2 | * * 3 * * | 0 2 0 . x3o x . ♦ 6 | 0 6 3 | 0 0 2 3 0 | * * * 10 * | 1 0 1 . x . x5o ♦ 10 | 0 5 10 | 0 0 0 5 2 | * * * * 6 | 0 1 1 ----------+----+----------+---------------+-------------+------ x x3o x . ♦ 12 | 6 12 6 | 6 3 4 6 0 | 2 3 0 2 0 | 5 * * x x . x5o ♦ 20 | 10 10 20 | 5 10 0 10 4 | 0 5 2 0 2 | * 3 * . x3o x5o ♦ 15 | 0 15 15 | 0 0 5 15 3 | 0 0 0 5 3 | * * 2
xx3oo xx5oo&#x → height = 1
(trapedip || trapedip)
o.3o. o.5o. | 15 * | 2 2 1 0 0 | 1 4 1 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 2 2 0
.o3.o .o5.o | * 15 | 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 | 15 * * * * | 1 2 0 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
.. .. x. .. | 2 0 | * 15 * * * | 0 2 1 0 1 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0
oo3oo oo5oo&#x | 1 1 | * * 15 * * | 0 0 0 2 2 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.x .. .. .. | 0 2 | * * * 15 * | 0 0 0 1 0 1 2 0 | 0 0 1 2 0 2 1 | 0 2 1 1
.. .. .x .. | 0 2 | * * * * 15 | 0 0 0 0 1 0 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
---------------+-------+----------------+---------------------+----------------+--------
x.3o. .. .. | 3 0 | 3 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 | * 15 * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
.. .. x.5o. | 5 0 | 0 5 0 0 0 | * * 3 * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
xx .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * * 15 * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .. xx ..&#x | 2 2 | 0 1 2 0 1 | * * * * 15 * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.x3.o .. .. | 0 3 | 0 0 0 3 0 | * * * * * 5 * * | 0 0 1 0 0 2 0 | 0 2 0 1
.x .. .x .. | 0 4 | 0 0 0 2 2 | * * * * * * 15 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .x5.o | 0 5 | 0 0 0 0 5 | * * * * * * * 3 | 0 0 0 0 1 0 2 | 0 0 2 1
---------------+-------+----------------+---------------------+----------------+--------
x.3o. x. .. ♦ 6 0 | 6 3 0 0 0 | 2 3 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 | * 3 * * * * * | 1 0 1 0
xx3oo .. ..&#x ♦ 3 3 | 3 0 3 3 0 | 1 0 0 3 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 | * * * 15 * * * | 0 1 1 0
.. .. xx5oo&#x ♦ 5 5 | 0 5 5 0 5 | 0 0 1 0 5 0 0 1 | * * * * 3 * * | 0 0 2 0
.x3.o .x .. ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 2 3 0 | * * * * * 5 * | 0 1 0 1
.x .. .x5.o ♦ 0 10 | 0 0 0 5 10 | 0 0 0 0 0 0 5 2 | * * * * * * 3 | 0 0 1 1
---------------+-------+----------------+---------------------+----------------+--------
x.3o. x.5o. ♦ 15 0 | 15 15 0 0 0 | 5 15 3 0 0 0 0 0 | 5 3 0 0 0 0 0 | 1 * * *
xx3oo xx ..&#x ♦ 6 6 | 6 3 6 6 3 | 2 3 0 6 3 2 3 0 | 1 0 2 3 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 | * * 3 *
.x3.o .x5.o ♦ 0 15 | 0 0 0 15 15 | 0 0 0 0 0 5 15 3 | 0 0 0 0 0 5 3 | * * * 1
ox xx xx5oo&#x → height = sqrt(3)/2 = 0.866025
(pip || squipdip)
o. o. o.5o. | 10 * | 1 2 2 0 0 0 | 2 1 1 2 4 0 0 0 0 | 1 1 2 4 2 0 0 0 | 2 1 2 0
.o .o .o5.o | * 20 | 0 0 1 1 1 2 | 0 0 1 1 2 1 2 2 1 | 0 1 2 2 1 2 1 1 | 2 1 1 1
---------------+-------+------------------+------------------------+-------------------+--------
.. x. .. .. | 2 0 | 5 * * * * * | 2 0 0 2 0 0 0 0 0 | 1 1 0 4 0 0 0 0 | 2 0 2 0
.. .. x. .. | 2 0 | * 10 * * * * | 1 1 0 0 2 0 0 0 0 | 1 0 1 2 2 0 0 0 | 1 1 2 0
oo oo oo5oo&#x | 1 1 | * * 20 * * * | 0 0 1 1 2 0 0 0 0 | 0 1 2 2 1 0 0 0 | 2 1 1 0
.x .. .. .. | 0 2 | * * * 10 * * | 0 0 1 0 0 1 2 0 0 | 0 1 2 0 0 2 1 0 | 2 1 0 1
.. .x .. .. | 0 2 | * * * * 10 * | 0 0 0 1 0 1 0 2 0 | 0 1 0 2 0 2 0 1 | 2 0 1 1
.. .. .x .. | 0 2 | * * * * * 20 | 0 0 0 0 1 0 1 1 1 | 0 0 1 1 1 1 1 1 | 1 1 1 1
---------------+-------+------------------+------------------------+-------------------+--------
.. x. x. .. | 4 0 | 2 2 0 0 0 0 | 5 * * * * * * * * | 1 0 0 2 0 0 0 0 | 1 0 2 0
.. .. x.5o. | 5 0 | 0 5 0 0 0 0 | * 2 * * * * * * * | 1 0 0 0 2 0 0 0 | 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 0 2 1 0 0 | * * 10 * * * * * * | 0 1 2 0 0 0 0 0 | 2 1 0 0
.. xx .. ..&#x | 2 2 | 1 0 2 0 1 0 | * * * 10 * * * * * | 0 1 0 2 0 0 0 0 | 2 0 1 0
.. .. xx ..&#x | 2 2 | 0 1 2 0 0 1 | * * * * 20 * * * * | 0 0 1 1 1 0 0 0 | 1 1 1 0
.x .x .. .. | 0 4 | 0 0 0 2 2 0 | * * * * * 5 * * * | 0 1 0 0 0 2 0 0 | 2 0 0 1
.x .. .x .. | 0 4 | 0 0 0 2 0 2 | * * * * * * 10 * * | 0 0 1 0 0 1 1 0 | 1 1 0 1
.. .x .x .. | 0 4 | 0 0 0 0 2 2 | * * * * * * * 10 * | 0 0 0 1 0 1 0 1 | 1 0 1 1
.. .. .x5.o | 0 5 | 0 0 0 0 0 5 | * * * * * * * * 4 | 0 0 0 0 1 0 1 1 | 0 1 1 1
---------------+-------+------------------+------------------------+-------------------+--------
.. x. x.5o. ♦ 10 0 | 5 10 0 0 0 0 | 5 2 0 0 0 0 0 0 0 | 1 * * * * * * * | 0 0 2 0
ox xx .. ..&#x ♦ 2 4 | 1 0 4 2 2 0 | 0 0 2 2 0 1 0 0 0 | * 5 * * * * * * | 2 0 0 0
ox .. xx ..&#x ♦ 2 4 | 0 1 4 2 0 2 | 0 0 2 0 2 0 1 0 0 | * * 10 * * * * * | 1 1 0 0
.. xx xx ..&#x ♦ 4 4 | 2 2 4 0 2 2 | 1 0 0 2 2 0 0 1 0 | * * * 10 * * * * | 1 0 1 0
.. .. xx5oo&#x ♦ 5 5 | 0 5 5 0 0 5 | 0 1 0 0 5 0 0 0 1 | * * * * 4 * * * | 0 1 1 0
.x .x .x .. ♦ 0 8 | 0 0 0 4 4 4 | 0 0 0 0 0 2 2 2 0 | * * * * * 5 * * | 1 0 0 1
.x .. .x5.o ♦ 0 10 | 0 0 0 5 0 10 | 0 0 0 0 0 0 5 0 2 | * * * * * * 2 * | 0 1 0 1
.. .x .x5.o ♦ 0 10 | 0 0 0 0 5 10 | 0 0 0 0 0 0 0 5 2 | * * * * * * * 2 | 0 0 1 1
---------------+-------+------------------+------------------------+-------------------+--------
ox xx xx ..&#x ♦ 4 8 | 2 2 8 4 4 4 | 1 0 4 4 4 2 2 2 0 | 0 2 2 2 0 1 0 0 | 5 * * *
ox .. xx5oo&#x ♦ 5 10 | 0 5 10 5 0 10 | 0 1 5 0 10 0 5 0 2 | 0 0 5 0 2 0 1 0 | * 2 * *
.. xx xx5oo&#x ♦ 10 10 | 5 10 10 0 5 10 | 5 2 0 5 10 0 0 5 2 | 1 0 0 5 2 0 0 1 | * * 2 *
.x .x .x5.o ♦ 0 20 | 0 0 0 10 10 20 | 0 0 0 0 0 5 10 10 4 | 0 0 0 0 0 5 2 2 | * * * 1
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