Acronym | 3,n-dip, K-4.175 |
Name |
triangle - n-gon duoprism, n-gon - n-prismatic wedge |
© | |
Circumradius | sqrt[1/3+1/(4 sin2(π/n))] |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Face vector | 3n, 6n, 4n+3, n+3 |
Especially | triddip (n=3) tisdip (n=4) trapedip (n=5) thiddip (n=6) todip (n=8) tistodip (n=8/3) tradedip (n=10) titwadip (n=12) |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3o xno (n>2) . . . . | 3n | 2 2 | 1 4 1 | 2 2 --------+----+-------+--------+---- x . . . | 2 | 3n * | 1 2 0 | 2 1 . . x . | 2 | * 3n | 0 2 1 | 1 2 --------+----+-------+--------+---- x3o . . | 3 | 3 0 | n * * | 2 0 x . x . | 4 | 2 2 | * 3n * | 1 1 . . xno | n | 0 n | * * 3 | 0 2 --------+----+-------+--------+---- x3o x . ♦ 6 | 6 3 | 2 3 0 | n * x . xno ♦ 2n | n 2n | 0 n 2 | * 3
ox xxnoo&#x (n>2) → height = sqrt(3)/2 = 0.866025
({n} || {n}-p)
o. o.no. | n * | 2 2 0 0 | 1 4 1 0 0 | 2 2 0
.o .on.o | * 2n | 0 1 1 2 | 0 2 1 2 1 | 1 2 1
------------+------+-----------+------------+------
.. x. .. | 2 0 | n * * * | 1 2 0 0 0 | 2 1 0
oo oonoo&#x | 1 1 | * 2n * * | 0 2 1 0 0 | 1 2 0
.x .. .. | 0 2 | * * n * | 0 0 1 2 0 | 0 2 1
.. .x .. | 0 2 | * * * 2n | 0 1 0 1 1 | 1 1 1
------------+------+-----------+------------+------
.. x.no. | n 0 | n 0 0 0 | 1 * * * * | 2 0 0
.. xx ..&#x | 2 2 | 1 2 0 1 | * 2n * * * | 1 1 0
ox .. ..&#x | 1 2 | 0 2 1 0 | * * n * * | 0 2 0
.x .x .. | 0 4 | 0 0 2 2 | * * * n * | 0 1 1
.. .xn.o | 0 n | 0 0 0 n | * * * * 2 | 1 0 1
------------+------+-----------+------------+------
.. xxnoo&#x ♦ n n | n n 0 n | 1 n 0 0 1 | 2 * *
ox xx ..&#x ♦ 2 4 | 1 4 2 2 | 0 2 2 1 0 | * n *
.x .xn.o ♦ 0 2n | 0 0 n 2n | 0 0 0 n 2 | * * 1
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