- general triprisms:
- n,m,k-tip n,n,m-tip n,n,n-tip
- general polytopal classes:
- Wythoffian polypeta noble polytopes
links
| Acronym | pettip |
| Name | pentagon-pentagon-pentagon-triprism |
| Circumradius | sqrt[(15+3 sqrt(5))/10] = 1.473370 |
| Volume | (sqrt[25+10 sqrt(5)]/4)3 = 5.092686 |
| Dihedral angles | |
| Face vector | 125, 375, 450, 275, 90, 15 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x5o x5o x5o . . . . . . | 125 | 2 2 2 | 1 4 4 1 4 1 | 2 2 2 8 2 2 2 | 1 4 1 4 4 1 | 2 2 2 ------------+-----+-------------+----------------------+-----------------------+----------------+------ x . . . . . | 2 | 125 * * | 1 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 4 1 2 2 0 | 2 2 1 . . x . . . | 2 | * 125 * | 0 2 0 1 2 0 | 1 0 2 4 0 2 1 | 1 2 0 4 2 1 | 2 1 2 . . . . x . | 2 | * * 125 | 0 0 2 0 2 1 | 0 1 0 4 2 1 2 | 0 2 1 2 4 1 | 1 2 2 ------------+-----+-------------+----------------------+-----------------------+----------------+------ x5o . . . . | 5 | 5 0 0 | 25 * * * * * | 2 2 0 0 0 0 0 | 1 4 1 0 0 0 | 2 2 0 x . x . . . | 4 | 2 2 0 | * 125 * * * * | 1 0 1 2 0 0 0 | 1 2 0 2 1 0 | 2 1 1 x . . . x . | 4 | 2 0 2 | * * 125 * * * | 0 1 0 2 1 0 0 | 0 2 1 1 2 0 | 1 2 1 . . x5o . . | 5 | 0 5 0 | * * * 25 * * | 0 0 2 0 0 2 0 | 1 0 0 4 0 1 | 2 0 2 . . x . x . | 4 | 0 2 2 | * * * * 125 * | 0 0 0 2 0 1 1 | 0 1 0 2 2 1 | 1 1 2 . . . . x5o | 5 | 0 0 5 | * * * * * 25 | 0 0 0 0 2 0 2 | 0 0 1 0 4 1 | 0 2 2 ------------+-----+-------------+----------------------+-----------------------+----------------+------ x5o x . . . ♦ 10 | 10 5 0 | 2 5 0 0 0 0 | 25 * * * * * * | 1 2 0 0 0 0 | 2 1 0 x5o . . x . ♦ 10 | 10 0 5 | 2 0 5 0 0 0 | * 25 * * * * * | 0 2 1 0 0 0 | 1 2 0 x . x5o . . ♦ 10 | 5 10 0 | 0 5 0 2 0 0 | * * 25 * * * * | 1 0 0 2 0 0 | 2 0 1 x . x . x . ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * 125 * * * | 0 1 0 1 1 0 | 1 1 1 x . . . x5o ♦ 10 | 5 0 10 | 0 0 5 0 0 2 | * * * * 25 * * | 0 0 1 0 2 0 | 0 2 1 . . x5o x . ♦ 10 | 0 10 5 | 0 0 0 2 5 0 | * * * * * 25 * | 0 0 0 2 0 1 | 1 0 2 . . x . x5o ♦ 10 | 0 5 10 | 0 0 0 0 5 2 | * * * * * * 25 | 0 0 0 0 2 1 | 0 1 2 ------------+-----+-------------+----------------------+-----------------------+----------------+------ x5o x5o . . ♦ 25 | 25 25 0 | 5 25 0 5 0 0 | 5 0 5 0 0 0 0 | 5 * * * * * | 2 0 0 x5o x . x . ♦ 20 | 20 10 10 | 4 10 10 0 5 0 | 2 2 0 5 0 0 0 | * 25 * * * * | 1 1 0 x5o . . x5o ♦ 25 | 25 0 25 | 5 0 25 0 0 5 | 0 5 0 0 5 0 0 | * * 5 * * * | 0 2 0 x . x5o x . ♦ 20 | 10 20 10 | 0 10 5 4 10 0 | 0 0 2 5 0 2 0 | * * * 25 * * | 1 0 1 x . x . x5o ♦ 20 | 10 10 20 | 0 5 10 0 10 4 | 0 0 0 5 2 0 2 | * * * * 25 * | 0 1 1 . . x5o x5o ♦ 25 | 0 25 25 | 0 0 0 5 25 5 | 0 0 0 0 0 5 5 | * * * * * 5 | 0 0 2 ------------+-----+-------------+----------------------+-----------------------+----------------+------ x5o x5o x . ♦ 50 | 50 50 25 | 10 50 25 10 25 0 | 10 5 10 25 0 5 0 | 2 5 0 5 0 0 | 5 * * x5o x . x5o ♦ 50 | 50 25 50 | 10 25 50 0 25 10 | 5 10 0 25 10 0 5 | 0 5 2 0 5 0 | * 5 * x . x5o x5o ♦ 50 | 25 50 50 | 0 25 25 10 50 10 | 0 0 5 25 5 10 10 | 0 0 0 5 5 2 | * * 5
or . . . . . . | 125 | 6 | 3 12 | 12 8 | 3 12 | 6 ---------------+-----+-----+--------+---------+-------+--- x . . . . . & | 2 | 375 | 1 4 | 6 4 | 2 8 | 5 ---------------+-----+-----+--------+---------+-------+--- x5o . . . . & | 5 | 5 | 75 * | 4 0 | 2 4 | 4 x . x . . . & | 4 | 4 | * 375 | 2 2 | 1 5 | 4 ---------------+-----+-----+--------+---------+-------+--- x5o x . . . & ♦ 10 | 25 | 2 5 | 150 * | 1 2 | 3 x . x . x . ♦ 8 | 12 | 0 6 | * 125 | 0 3 | 3 ---------------+-----+-----+--------+---------+-------+--- x5o x5o . . & ♦ 25 | 50 | 10 25 | 10 0 | 15 * | 2 x5o x . x . & ♦ 20 | 40 | 4 25 | 4 5 | * 75 | 2 ---------------+-----+-----+--------+---------+-------+--- x5o x5o x . & ♦ 50 | 125 | 20 100 | 30 25 | 2 10 | 15
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