Acronym | n,n,n-tippip |
Name | n-gon - n-gon - n-gon - triprismatic prism |
Circumradius | sqrt[1/4+3/(4 sin2(π/n))] |
Face vector | 2n3, 7n3, 9n3+6n2, 5n3+15n2, n3+12n2+6n, 3n2+9n, 3n+2 |
Especially | tratratrip (n=3) hept (n=4) |
Confer |
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Incidence matrix according to Dynkin symbol
x xno xno xno (n>2) . . . . . . . | 2nnn | 1 6 | 6 3 12 | 3 12 12 8 | 12 8 3 12 | 3 12 6 | 6 1 -----------------+------+----------+---------------+--------------------+----------------+-----------+----- x . . . . . . | 2 | nnn * | 6 0 0 | 3 12 0 0 | 12 8 0 0 | 3 12 0 | 6 0 . x . . . . . & | 2 | * 6nnn | 1 1 4 | 1 4 6 4 | 6 4 2 8 | 2 8 5 | 5 1 -----------------+------+----------+---------------+--------------------+----------------+-----------+----- x x . . . . . & | 4 | 2 2 | 3nnn * * | 1 4 0 0 | 6 4 0 0 | 2 8 0 | 5 0 . xno . . . . & | n | 0 n | * 6nn * | 1 0 4 0 | 4 0 2 4 | 2 4 4 | 4 1 . x . x . . . & | 4 | 0 4 | * * 6nnn | 0 1 2 2 | 2 2 1 5 | 1 5 4 | 4 1 -----------------+------+----------+---------------+--------------------+----------------+-----------+----- x xno . . . . & ♦ 2n | n 2n | n 2 0 | 3nn * * * | 4 0 0 0 | 2 4 0 | 4 0 x x . x . . . & ♦ 8 | 4 8 | 4 0 2 | * 3nnn * * | 2 2 0 0 | 1 5 0 | 4 0 . xno x . . . & ♦ 2n | 0 3n | 0 2 n | * * 12nn * | 1 0 1 2 | 1 2 3 | 3 1 . x . x . x . ♦ 8 | 0 12 | 0 0 6 | * * * 2nnn | 0 1 0 3 | 0 3 3 | 3 1 -----------------+------+----------+---------------+--------------------+----------------+-----------+----- x xno x . . . & ♦ 4n | 2n 6n | 3n 4 2n | 2 n 2 0 | 6nn * * * | 1 2 0 | 3 0 x x . x . x . ♦ 16 | 8 24 | 12 0 12 | 0 6 0 2 | * nnn * * | 0 3 0 | 3 0 . xno xno . . & ♦ nn | 0 2nn | 0 2n nn | 0 0 2n 0 | * * 6n * | 1 0 2 | 2 1 . xno x . x . & ♦ 4n | 0 8n | 0 4 5n | 0 0 4 n | * * * 6nn | 0 1 2 | 2 1 -----------------+------+----------+---------------+--------------------+----------------+-----------+----- x xno xno . . & ♦ 2nn | nn 4nn | 2nn 4n 2nn | 2n nn 4n 0 | 2n 0 2 0 | 3n * * | 2 0 x xno x . x . & ♦ 8n | 4n 16n | 8n 8 10n | 4 5n 8 2n | 4 n 0 2 | * 3nn * | 2 0 . xno xno x . & ♦ 2nn | 0 5nn | 0 4n 4nn | 0 0 6n nn | 0 0 2 2n | * * 6n | 1 1 -----------------+------+----------+---------------+--------------------+----------------+-----------+----- x xno xno x . & ♦ 4nn | 2nn 10nn | 5nn 8n 8nn | 4n 4nn 12n 2nn | 6n nn 4 4n | 2 2n 2 | 3n * . xno xno xno ♦ nnn | 0 3nnn | 0 3nn 3nnn | 0 0 6nn nnn | 0 0 3n 3nn | 0 0 3n | * 2
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