Acronym	2,n-dap
Name	digon - n-gon duoantiprism, hemiated square - 2n-gon duoprism
Circumradius	sqrt[A2/2+B2/(4 sin2(π/2n))]
Face vector	4n, 14n, 16n+4, 6n+4
Especially	s2s2s3s   s2s2s2s (hex)
Confer	more general: sns2sms   general polytopal classes: isogonal
External links

These isogonal polychora are obtained by hemiation of the uniform 4,2n-duoprism (with n>2). But because of lower degree of freedom the three edge sizes A*sqrt(2), B*x(2n), sqrt(A²+B²) cannot be made all alike.

The exceptional case n=2 could be considered similarily, but the incidence matrices below will be different because of degeneracy. Then it becomes the hemiated tes (hex) and even happens to be regular.

Incidence matrix according to Dynkin symbol

s2no2o4s

demi( .  . . . ) | 4n |  4  1  2 | 1  6  6 | 2  2  4
-----------------+----+----------+---------+--------
      s  2 . s   |  2 | 8n  *  * | 0  2  2 | 1  1  2
      .  . o4s   |  2 |  * 2n  * | 0  0  4 | 0  2  2
sefa( s2no . . ) |  2 |  *  * 4n | 1  2  0 | 2  0  1
-----------------+----+----------+---------+--------
      s2no . .   |  n |  0  0  n | 4  *  * | 2  0  0
sefa( s2no 2 s ) |  3 |  2  0  1 | * 8n  * | 1  0  1
sefa( s  2 o4s ) |  3 |  2  1  0 | *  * 8n | 0  1  1
-----------------+----+----------+---------+--------
      s2no 2 s   ♦ 2n | 2n  0 2n | 2 2n  0 | 4  *  *  n-ap
      s  2 o4s   ♦  4 |  4  2  0 | 0  0  4 | * 2n  *  tet
sefa( s2no2o4s ) ♦  4 |  4  1  1 | 0  2  2 | *  * 4n  disphenoid

starting figure: x2no o4x

s4o2sns (n>2)

demi( . . . . )   | 4n |  1  4  2 | 1  6  6 |  2 2  4
------------------+----+----------+---------+--------
      s4o . .     |  2 | 2n  *  * | 0  4  0 |  2 0  2  A*sqrt(2)
      s 2 s .   & |  2 |  * 8n  * | 0  2  2 |  1 1  2  sqrt(A2+B2)
sefa( . . sns )   |  2 |  *  * 4n | 1  0  2 |  0 2  1  B*x(2n)
------------------+----+----------+---------+--------
      .   sns     |  n |  0  0  n | 4  *  * |  0 2  0
sefa( s4o2s . ) & |  3 |  1  2  0 | * 8n  * |  1 0  1
sefa( s 2 sns )   |  3 |  0  2  1 | *  * 8n |  0 1  1
------------------+----+----------+---------+--------
      s4o2s .   & ♦  4 |  2  4  0 | 0  4  0 | 2n *  *  tet
      s 2 sns     ♦ 2n |  0 2n 2n | 2  0 2n |  * 4  *  n-ap
sefa( s4o2sns )   ♦  4 |  1  4  1 | 0  2  2 |  * * 4n  disphenoid

starting figure: x4o xnx

s2s2sns (n>2)

demi( . . . . )   | 4n |  1  4  2 |  6  6 1 |  2  4 2
------------------+----+----------+---------+--------
      s2s . .     |  2 | 2n  *  * |  4  0 0 |  2  2 0  A*sqrt(2)
      . s2s .   & |  2 |  * 8n  * |  2  2 0 |  1  2 1  sqrt(A2+B2)
sefa( . . sns )   |  2 |  *  * 4n |  0  2 1 |  0  1 2  B*x(2n)
------------------+----+----------+---------+--------
sefa( s2s2s . ) & |  3 |  1  2  0 | 8n  * * |  1  1 0
sefa( . s2sns ) & |  3 |  0  2  1 |  * 8n * |  0  1 1
      .   sns     |  n |  0  0  n |  *  * 4 |  0  0 2
------------------+----+----------+---------+--------
      s2s2s .   & ♦  4 |  2  4  0 |  4  0 0 | 2n  * *  tet
sefa( s2s2sns )   ♦  4 |  1  4  1 |  2  2 0 |  * 4n *  disphenoid
      . s2sns   & ♦ 2n |  0 2n 2n |  0 2n 2 |  *  * 4  n-ap

starting figure: x x xnx