n,k-dippip

Acronym

n,k-dippip

Name

n-gon - k-gon duoprismatic prism

Circumradius

sqrt[1/4+1/(4 sin²(π/n))+1/(4 sin²(π/k))]

Especially

n,n-dippip (k=n) 3,n-dippip (k=3) n,cube-dip (k=4) 5,n-dippip (k=5)

3 x k	4 x k	5 x k	6 x k	8 x k	(n,k)-dippip
tratrip	tracube	trapedippip	thiddippip	todippip	n x 3
	pent	pecube	hacube	ocube	n x 4

Incidence matrix according to Dynkin symbol

x xno xko   (n>2, k>2)

. . . . . | 2nk |  1   2   2 |  2  2  1   4  1 | 1  4 1  2  2 | 2 2 1
----------+-----+------------+-----------------+--------------+------
x . . . . |   2 | nk   *   * |  2  2  0   0  0 | 1  4 1  0  0 | 2 2 0
. x . . . |   2 |  * 2nk   * |  1  0  1   2  0 | 1  2 0  2  1 | 2 1 1
. . . x . |   2 |  *   * 2nk |  0  1  0   2  1 | 0  2 1  1  2 | 1 2 1
----------+-----+------------+-----------------+--------------+------
x x . . . |   4 |  2   2   0 | nk  *  *   *  * | 1  2 0  0  0 | 2 1 0
x . . x . |   4 |  2   0   2 |  * nk  *   *  * | 0  2 1  0  0 | 1 2 0
. xno . . |   n |  0   n   0 |  *  * 2k   *  * | 1  0 0  2  0 | 2 0 1
. x . x . |   4 |  0   2   2 |  *  *  * 2nk  * | 0  1 0  1  1 | 1 1 1
. . . xko |   k |  0   0   k |  *  *  *   * 2n | 0  0 1  0  2 | 0 2 1
----------+-----+------------+-----------------+--------------+------
x xno . . ♦  2n |  n  2n   0 |  n  0  2   0  0 | k  * *  *  * | 2 0 0
x x . x . ♦   8 |  4   4   4 |  2  2  0   2  0 | * nk *  *  * | 1 1 0
x . . xko ♦  2k |  k   0  2k |  0  k  0   0  2 | *  * n  *  * | 0 2 0
. xno x . ♦  2n |  0  2n   n |  0  0  2   n  0 | *  * * 2k  * | 1 0 1
. x . xko ♦  2k |  0   k  2k |  0  0  0   k  2 | *  * *  * 2n | 0 1 1
----------+-----+------------+-----------------+--------------+------
x xno x . ♦  4n | 2n  4n  2n | 2n  n  4  2n  0 | 2  n 0  2  0 | k * *
x x . xko ♦  4k | 2k  2k  4k |  k 2k  0  2k  4 | 0  k 2  0  2 | * n *
. xno xko ♦  nk |  0  nk  nk |  0  0  k  nk  n | 0  0 0  k  n | * * 2

xxnoo xxkoo&#x   (n>2, k>2)   → height = 1
({n}{k}-dip || {n}{k}-dip)

o.no. o.ko.    | nk  * |  2  2  1  0  0 | 1  4 1  2  2 0  0 0 | 2 2 1  4 1 0 0 | 1 2 2 0
.on.o .ok.o    |  * nk |  0  0  1  2  2 | 0  0 0  2  2 1  4 1 | 0 0 1  4 1 2 2 | 0 2 2 1
---------------+-------+----------------+---------------------+----------------+--------
x. .. .. ..    |  2  0 | nk  *  *  *  * | 1  2 0  1  0 0  0 0 | 2 1 1  2 0 0 0 | 1 2 1 0
.. .. x. ..    |  2  0 |  * nk  *  *  * | 0  2 1  0  1 0  0 0 | 1 2 0  2 1 0 0 | 1 1 2 0
oonoo ookoo&#x |  1  1 |  *  * nk  *  * | 0  0 0  2  2 0  0 0 | 0 0 1  4 1 0 0 | 0 2 2 0
.x .. .. ..    |  0  2 |  *  *  * nk  * | 0  0 0  1  0 1  2 0 | 0 0 1  2 0 2 1 | 0 2 1 1
.. .. .x ..    |  0  2 |  *  *  *  * nk | 0  0 0  0  1 0  2 1 | 0 0 0  2 1 1 2 | 0 1 2 1
---------------+-------+----------------+---------------------+----------------+--------
x.no. .. ..    |  n  0 |  n  0  0  0  0 | k  * *  *  * *  * * | 2 0 1  0 0 0 0 | 1 2 0 0
x. .. x. ..    |  4  0 |  2  2  0  0  0 | * nk *  *  * *  * * | 1 1 0  1 0 0 0 | 1 1 1 0
.. .. x.ko.    |  k  0 |  0  k  0  0  0 | *  * n  *  * *  * * | 0 2 0  0 1 0 0 | 1 0 2 0
xx .. .. ..&#x |  2  2 |  1  0  2  1  0 | *  * * nk  * *  * * | 0 0 1  2 0 0 0 | 0 2 1 0
.. .. xx ..&#x |  2  2 |  0  1  2  0  1 | *  * *  * nk *  * * | 0 0 0  2 1 0 0 | 0 1 2 0
.xn.o .. ..    |  0  n |  0  0  0  n  0 | *  * *  *  * k  * * | 0 0 1  0 0 2 0 | 0 2 0 1
.x .. .x ..    |  0  4 |  0  0  0  2  2 | *  * *  *  * * nk * | 0 0 0  1 0 1 1 | 0 1 1 1
.. .. .xk.o    |  0  k |  0  0  0  0  k | *  * *  *  * *  * n | 0 0 0  0 1 0 2 | 0 0 2 1
---------------+-------+----------------+---------------------+----------------+--------
x.no. x. ..    ♦ 2n  0 | 2n  n  0  0  0 | 2  n 0  0  0 0  0 0 | k * *  * * * * | 1 1 0 0
x. .. x.ko.    ♦ 2k  0 |  k 2k  0  0  0 | 0  k 2  0  0 0  0 0 | * n *  * * * * | 1 0 1 0
xxnoo .. ..&#x ♦  n  n |  n  0  n  n  0 | 1  0 0  n  0 1  0 0 | * * k  * * * * | 0 2 0 0
xx .. xx ..&#x ♦  4  4 |  2  2  4  2  2 | 0  1 0  2  2 0  1 0 | * * * nk * * * | 0 1 1 0
.. .. xxkoo&#x ♦  k  k |  0  k  k  0  k | 0  0 1  0  k 0  0 1 | * * *  * n * * | 0 0 2 0
.xn.o .x ..    ♦  0 2n |  0  0  0 2n  n | 0  0 0  0  0 2  n 0 | * * *  * * k * | 0 1 0 1
.x .. .xk.o    ♦  0 2k |  0  0  0  k 2k | 0  0 0  0  0 0  k 2 | * * *  * * * n | 0 0 1 1
---------------+-------+----------------+---------------------+----------------+--------
x.no. x.ko.    ♦ nk  0 | nk nk  0  0  0 | k nk n  0  0 0  0 0 | k n 0  0 0 0 0 | 1 * * *
xxnoo xx ..&#x ♦ 2n 2n | 2n  n 2n 2n  n | 2  n 0 2n  n 2  n 0 | 1 0 2  n 0 1 0 | * k * *
xx .. xxkoo&#x ♦ 2k 2k |  k 2k 2k  k 2k | 0  k 2  k 2k 0  k 2 | 0 1 0  k 2 0 1 | * * n *
.xn.o .xk.o    ♦  0 nk |  0  0  0 nk nk | 0  0 0  0  0 k nk n | 0 0 0  0 0 k n | * * * 1

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