Acronym | pappy |
Name | pentagon-antiprismatical pyramid |
Segmentochoron display | |
Circumradius | (1+sqrt(5))/2 = 1.618034 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles | |
Face vector | 11, 30, 32, 13 |
Confer |
|
External links |
Incidence matrix according to Dynkin symbol
pt || pap → height = (sqrt(5)-1)/4 = 0.309017
1 * ♦ 10 0 0 | 10 10 0 0 | 2 10 0
* 10 | 1 2 2 | 2 2 1 3 | 1 3 1
-----+----------+------------+-------
1 1 | 10 * * | 2 2 0 0 | 1 3 0
0 2 | * 10 * | 1 0 1 1 | 1 1 1
0 2 | * * 10 | 0 1 0 2 | 0 2 1
-----+----------+------------+-------
1 2 | 2 1 0 | 10 * * * | 1 1 0
1 2 | 2 0 1 | * 10 * * | 0 2 0
0 5 | 0 5 0 | * * 2 * | 1 0 1 {5}
0 3 | 0 1 2 | * * * 10 | 0 1 1
-----+----------+------------+-------
1 5 | 5 5 0 | 5 0 1 0 | 2 * * peppy
1 3 | 3 1 2 | 1 2 0 1 | * 10 * tet
0 10 | 0 10 10 | 0 0 2 10 | * * 1 pap
{5} || gyro peppy → height = 1/2
5 * * | 2 1 2 0 0 | 1 2 2 2 1 0 0 | 1 1 2 1 0
* 1 * ♦ 0 5 0 5 0 | 0 5 0 10 0 5 0 | 1 0 5 5 1
* * 5 | 0 0 2 1 2 | 0 0 1 2 2 2 1 | 0 1 1 2 1
------+------------+----------------+----------
2 0 0 | 5 * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 0
1 1 0 | * 5 * * * | 0 2 0 2 0 0 0 | 1 0 2 1 0
1 0 1 | * * 10 * * | 0 0 1 1 1 0 0 | 0 1 1 1 0
0 1 1 | * * * 5 * | 0 0 0 2 0 2 0 | 0 0 1 2 1
0 0 2 | * * * * 5 | 0 0 0 0 1 1 1 | 0 1 0 1 1
------+------------+----------------+----------
5 0 0 | 5 0 0 0 0 | 1 * * * * * * | 1 1 0 0 0
2 1 0 | 1 2 0 0 0 | * 5 * * * * * | 1 0 1 0 0
2 0 1 | 1 0 2 0 0 | * * 5 * * * * | 0 1 1 0 0
1 1 1 | 0 1 1 1 0 | * * * 10 * * * | 0 0 1 1 0
1 0 2 | 0 0 2 0 1 | * * * * 5 * * | 0 1 0 1 0
0 1 2 | 0 0 0 2 1 | * * * * * 5 * | 0 0 0 1 1
0 0 5 | 0 0 0 0 5 | * * * * * * 1 | 0 1 0 0 1
------+------------+----------------+----------
5 1 0 | 5 5 0 0 0 | 1 5 0 0 0 0 0 | 1 * * * * peppy
5 0 5 | 5 0 10 0 5 | 1 0 5 0 5 0 1 | * 1 * * * pap
2 1 1 | 1 2 2 1 0 | 0 1 1 2 0 0 0 | * * 5 * * tet
1 1 2 | 0 1 2 2 1 | 0 0 0 2 1 1 0 | * * * 5 * tet
0 1 5 | 0 0 0 5 5 | 0 0 0 0 0 5 1 | * * * * 1 peppy
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