Acronym | n-p |
TOCID symbol | (n)P |
Name | n-gonal prism |
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Circumradius | sqrt[1/4+1/(4 sin2(π/n))] |
Edge radius | 1/(2 sin(π/n)) |
Vertex figure | [42,n] |
Snub derivation |
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General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dual | m mNo |
Face vector | 2n, 3n, n+2 |
Especially | 2n-p (n even) trip (n=3) cube (n=4) pip (n=5) hip (n=6) hep (n=7) op (n=8) dip (n=10) twip (n=12) azip (n=∞) |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x xno (n>2) . . . | 2n | 1 2 | 2 1 ------+----+------+---- x . . | 2 | n * | 2 0 . x . | 2 | * 2n | 1 1 ------+----+------+---- x x . | 4 | 2 2 | n * . xno | n | 0 n | * 2
x2sns (n>2) demi( . . . ) | 2n | 1 2 | 1 2 --------------+----+------+---- demi( x . . ) | 2 | n * | 0 2 sefa( . sns ) | 2 | * 2n | 1 1 --------------+----+------+---- . sns ♦ n | 0 n | 2 * sefa( x2sns ) | 4 | 2 2 | * n starting figure: x xnx
x2s2no (n>2) demi( . . . ) | 2n | 1 2 | 1 2 ---------------+----+------+---- demi( x . . ) | 2 | n * | 0 2 sefa( . s2no ) | 2 | * 2n | 1 1 ---------------+----+------+---- . s2no ♦ n | 0 n | 2 * sefa( x2s2no ) | 4 | 2 2 | * n starting figure: x x2no
xxnoo&#x (n>2) → height = 1
({n} || {n})
o.no. | n * | 2 1 0 | 1 2 0
.on.o | * n | 0 1 2 | 0 2 1
---------+-----+-------+------
x. .. | 2 0 | n * * | 1 1 0
oonoo&#x | 1 1 | * n * | 0 2 0
.x .. | 0 2 | * * n | 0 1 1
---------+-----+-------+------
x.no. | n 0 | n 0 0 | 1 * *
xx ..&#x | 2 2 | 1 2 1 | * n *
.xn.o | 0 n | 0 0 n | * * 1
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