Acronym n,n,n,n-quip
Name n-gon - n-gon - n-gon - n-gon - tetraprism
(or: -quadprism)
Circumradius sqrt[1/sin2(π/n)]
Especially triquip (n=3)   octo (n=4)   piquip (n=5)   hiquip (n=6)   hequip (n=7)   oquip (n=8)   equip (n=9)   diquip (n=10)  

Incidence matrix according to Dynkin symbol

xno xno xno xno   (n>2)

. . . . . . . .    | nnnn |     8 |    4    24 |    24    32 |   6    48   16 |   24   32 |  4  24 |  8
-------------------+------+-------+------------+-------------+----------------+-----------+--------+---
x . . . . . . .  & |    2 | 4nnnn |    1     6 |     9    12 |   3    24    8 |   15   20 |  3  18 |  7
-------------------+------+-------+------------+-------------+----------------+-----------+--------+---
xno . . . . . .  & |    n |     n | 4nnn     * |     6     0 |   3    12    0 |   12    8 |  3  12 |  6
x . x . . . . .  & |    4 |     4 |    * 6nnnn |     2     4 |   1    10    4 |    8   12 |  2  13 |  6
-------------------+------+-------+------------+-------------+----------------+-----------+--------+---
xno x . . . . .  &    2n |    3n |    2     n | 12nnn     * |   1     4    0 |    6    4 |  2   8 |  5
x . x . x . . .  &     8 |    12 |    0     6 |     * 4nnnn |   0     3    2 |    3    7 |  1   9 |  5
-------------------+------+-------+------------+-------------+----------------+-----------+--------+---
xno xno . . . .  &    nn |   2nn |   2n    nn |    2n     0 | 6nn     *    * |    4    0 |  2   4 |  4
xno x . x . . .  &    4n |    8n |    4    5n |     4     n |   * 12nnn    * |    2    2 |  1   5 |  4
x . x . x . x .       16 |    32 |    0    24 |     0     8 |   *     * nnnn |    0    4 |  0   6 |  4
-------------------+------+-------+------------+-------------+----------------+-----------+--------+---
xno xno x . . .  &   2nn |   5nn |   4n   4nn |    6n    nn |   2    2n    0 | 12nn    * |  1   2 |  3
xno x . x . x .  &    8n |   20n |    8   18n |    12    7n |   0     6    n |    * 4nnn |  0   3 |  3
-------------------+------+-------+------------+-------------+----------------+-----------+--------+---
xno xno xno . .  &   nnn |  3nnn |  3nn  3nnn |   6nn   nnn |  3n   3nn    0 |   3n    0 | 4n   * |  2
xno xno x . x .  &   4nn |  12nn |   8n  13nn |   16n   6nn |   4   10n   nn |    4   2n |  * 6nn |  2
-------------------+------+-------+------------+-------------+----------------+-----------+--------+---
xno xno xno x .  &  2nnn |  7nnn |  6nn  9nnn |  15nn  5nnn |  6n  12nn  nnn |   9n  3nn |  2  3n | 4n

© 2004-2020
top of page