Acronym | n-pipy |
Name |
n-prism pyramid, general vertex pyramid of o-3-x-3-o-n-o |
Segmentochoron display | |
Circumradius | 1/sqrt[3 - 1/sin2(π/n)] |
Face vector | 2n+1, 5n, 4n+2, n+3 |
Confer |
|
Especially | trippy (n=3) cubpy (n=4) pippy (n=5) stippy (n=5/2) |
Incidence matrix according to Dynkin symbol
ox ox-n-oo&#x (2 < n < 5.104299) → height = sqrt[3 - 1/sin2(π/n)]/2
(pt || {n}-p)
o. o.-n-o. | 1 * ♦ 2n 0 0 | n 2n 0 0 | n 2 0
.o .o-n-.o | * 2n | 1 1 2 | 1 2 2 1 | 2 1 1
--------------+------+---------+----------+------
oo oo-n-oo&#x | 1 1 | 2n * * | 1 2 0 0 | 2 1 0
.x .. .. | 0 2 | * n * | 1 0 2 0 | 2 0 1
.. .x .. | 0 2 | * * 2n | 0 1 1 1 | 1 1 1
--------------+------+---------+----------+------
ox .. ..&#x | 1 2 | 2 1 0 | n * * * | 2 0 0
.. ox ..&#x | 1 2 | 2 0 1 | * 2n * * | 1 1 0
.x .x .. | 0 4 | 0 2 2 | * * n * | 1 0 1
.. .x-n-.o | 0 n | 0 0 n | * * * 2 | 0 1 1
--------------+------+---------+----------+------
ox ox ..&#x ♦ 1 4 | 4 2 2 | 2 2 1 0 | n * *
.. ox-n-oo&#x ♦ 1 n | n 0 n | 0 n 0 1 | * 2 *
.x .x-n-.o ♦ 0 2n | 0 n 2n | 0 0 n 2 | * * 1
{n} || n-py → height = sqrt[3 - 3/(4 sqrt2(π/n))]/2
n * * | 2 1 1 0 0 | 1 2 2 1 0 0 | 1 1 2 0
* 1 * ♦ 0 n 0 n 0 | 0 n 0 n n 0 | 1 0 n 1
* * n | 0 0 1 1 2 | 0 0 2 1 2 1 | 0 1 2 1
--------+-----------+-------------+--------
2 0 0 | n * * * * | 1 1 1 0 0 0 | 1 1 1 0
1 1 0 | * n * * * | 0 2 0 1 0 0 | 1 0 2 0
1 0 1 | * * n * * | 0 0 2 1 0 0 | 0 1 2 0
0 1 1 | * * * n * | 0 0 0 1 2 0 | 0 0 2 1
0 0 2 | * * * * n | 0 0 1 0 1 1 | 0 1 1 1
--------+-----------+-------------+--------
n 0 0 | n 0 0 0 0 | 1 * * * * * | 1 1 0 0
2 1 0 | 1 2 0 0 0 | * n * * * * | 1 0 1 0
2 0 2 | 1 0 2 0 1 | * * n * * * | 0 1 1 0
1 1 1 | 0 1 1 1 0 | * * * n * * | 0 0 2 0
0 1 2 | 0 0 0 2 1 | * * * * n * | 0 0 1 1
0 0 n | 0 0 0 0 n | * * * * * 1 | 0 1 0 1
--------+-----------+-------------+--------
♦ n 1 0 | n n 0 0 0 | 1 n 0 0 0 0 | 1 * * *
♦ n 0 n | n 0 n 0 n | 1 0 n 0 0 1 | * 1 * *
♦ 2 1 2 | 1 2 2 2 1 | 0 1 1 2 1 0 | * * n *
♦ 0 1 n | 0 0 0 n n | 0 0 0 0 n 1 | * * * 1
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