Acronym n-dep
Name n-gonal duoexpandoprism,
expanded n-n-duoprism,
tegum sum of 2 alternated n-2n-duoprisms
Circumradius sqrt[1/(4 sin2(π/2n))+1/(4 sin2(π/n))]
Face vector 4n2, 12n2, 12n2+4n, 4n2+4n
Especially triddep (n=3)   sidpith (n=4)  
Confer
general polytopal classes:
isogonal  
External
links
polytopewiki , eg. polytopewiki (n=3)

Incidence matrix according to Dynkin symbol

xo-n-xx ox-n-xx&#zy   → height = 0
                        y = 1/[sqrt(2) sin(π/n)]
(y-laced tegum sum of 2 alternate n-2n-dips)

o.-n-o. o.-n-o.     & | 4nn |   1   1   2   2 |   2   2  1   3   4 |  1  1  1   3  2
----------------------+-----+-----------------+--------------------+----------------
x.   .. ..   ..     & |   2 | 2nn   *   *   * |   2   0  0   2   0 |  1  0  1   2  0
..   x. ..   ..     & |   2 |   * 2nn   *   * |   0   2  0   0   2 |  0  1  0   1  2
..   .. ..   x.     & |   2 |   *   * 4nn   * |   1   1  1   0   1 |  1  1  0   1  1
oo-n-oo oo-n-oo&#y    |   2 |   *   *   * 4nn |   0   0  0   2   2 |  0  0  1   2  1
----------------------+-----+-----------------+--------------------+----------------
x.   .. ..   x.     & |   4 |   2   0   2   0 | 2nn   *  *   *   * |  1  0  0   1  0
..   x. ..   x.     & |   4 |   0   2   2   0 |   * 2nn  *   *   * |  0  1  0   0  1
..   .. o.-n-x.     & |   n |   0   0   n   0 |   *   * 4n   *   * |  1  1  0   0  0
xo   .. ..   ..&#y  & |   3 |   1   0   0   2 |   *   *  * 4nn   * |  0  0  1   1  0  (xxy)
..   xx ..   ..&#y  & |   4 |   0   1   1   2 |   *   *  *   * 4nn |  0  0  0   1  1  (xyxy)
----------------------+-----+-----------------+--------------------+----------------
x.   .. o.-n-x.     & |  2n |   n   0  2n   0 |   n   0  2   0   0 | 2n  *  *   *  *  n-p
..   x. o.-n-x.     & |  2n |   0   n  2n   0 |   0   n  2   0   0 |  * 2n  *   *  *  n-p
xo   .. ox   ..&#y    |   4 |   2   0   0   4 |   0   0  0   4   0 |  *  * nn   *  *  2ap variant
xo   .. ..   xx&#y  & |   6 |   2   1   2   4 |   1   0  0   2   2 |  *  *  * 2nn  *  wedge-like trip variant
..   xx ..   xx&#y    |   8 |   0   4   4   4 |   0   2  0   0   4 |  *  *  *   * nn  4p variant

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