Acronym n,hix-dip
Name n-gon - hexateron duoprism
Circumradius sqrt[5/12 + 1/(2 sin(π/n))2]
Especially trahix (n=3)   squahix (n=4)  

Incidence matrix according to Dynkin symbol

xno x3o3o3o3o

. . . . . . . | 6n |  2   5 | 1  10  10 |  5  20  10 | 10  10  5 | 10 10 1 | 5 2
--------------+----+--------+-----------+------------+-----------+---------+----
x . . . . . . |  2 | 6n   * | 1   5   0 |  5  10   0 | 10   5  0 | 10  5 0 | 5 1
. . x . . . . |  2 |  * 15n | 0   2   4 |  1   8   6 |  4  12  4 |  6  8 1 | 4 2
--------------+----+--------+-----------+------------+-----------+---------+----
xno . . . . . |  n |  n   0 | 6   *   *   5   0   0 | 10   0  0 | 10  0 0 | 5 0
x . x . . . . |  4 |  2   2 | * 15n   * |  1   4   0 |  4   6  0 |  6  4 0 | 4 1
. . x3o . . . |  3 |  0   3 | *   * 20n |  0   2   3 |  1   6  3 |  3  6 1 | 3 2
--------------+----+--------+-----------+------------+-----------+---------+----
xno x . . . .  2n | 2n   n | 2   n   0 | 15   *   *   4   0  0 |  6  0 0 | 4 0
x . x3o . . .   6 |  3   6 | 0   3   2 |  * 20n   * |  1   3  0 |  3  3 0 | 3 1
. . x3o3o . .   4 |  0   6 | 0   0   4 |  *   * 15n |  0   2  2 |  1  4 1 | 2 2
--------------+----+--------+-----------+------------+-----------+---------+----
xno x3o . . .  3n | 3n  3n | 3  3n   n |  3   n   0 | 20   *  * |  3  0 0 | 3 0
x . x3o3o . .   8 |  4  12 | 0   6   8 |  0   4   2 |  * 15n  * |  1  2 0 | 2 1
. . x3o3o3o .   5 |  0  10 | 0   0  10 |  0   0   5 |  *   * 6n |  0  2 1 | 1 2
--------------+----+--------+-----------+------------+-----------+---------+----
xno x3o3o . .  4n | 4n  6n | 4  6n  4n |  6  4n   n |  4   n  0 | 15  * * | 2 0
x . x3o3o3o .  10 |  5  20 | 0  10  20 |  0  10  10 |  0   5  2 |  * 6n * | 1 1
. . x3o3o3o3o   6 |  0  15 | 0   0  20 |  0   0  15 |  0   0  6 |  *  * n | 0 2
--------------+----+--------+-----------+------------+-----------+---------+----
xno x3o3o3o .  5n | 5n 10n | 5 10n 10n | 10 10n  5n | 10  5n  n |  5  n 0 | 6 *
x . x3o3o3o3o  12 |  6  30 | 0  15  40 |  0  20  30 |  0  15 12 |  0  6 2 | * n

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