Acronym	gissicu
Name	great supersemicupola
VRML	⭳ ©
Circumradius	0.682447
Inradius wrt. {7/2}	0.238208
Vertex figure	[3,7/2,3,7/3], [3,(7/2)2], [3,7/2,3/2,7/5]
Dihedral angles (at margins)	between {7/2} and {7/2}:   61.708833° ...
Face vector	28, 49, 22
Confer	general polytopal classes: Acrohedra
External links

This polyhedron was found in 2005 by M. Green.

Because having axial heptagonal symmetry, the numeric values are much harder to derive algebraically. However the above given circumradius (and some further values too) get generally derived for [p,q,q]-acrohedra here by formula.

As abstract polyhedron gissicu is isomorphic to sissicu, thereby replacing small heptagrams {7/2} by heptagons {7} and the great heptagram {7/3} by a small heptagram {7/2}.

It happens that the vertices marked below by *, i.e. the 2 tropical vertex types in gissicu's axial orientation, allow for a vertex inscribed heptagonal antiprism.

Incidence matrix

7 * * * | 2  2 0  0 0 | 1 2 1 0  [3,7/2,3,7/3]
* 7 * * | 0  2 1  0 0 | 0 1 2 0  [3,7/2,7/2] *
* * 7 * | 0  0 1  2 0 | 0 0 2 1  [3,7/2,7/2]
* * * 7 | 0  0 0  2 2 | 0 0 2 2  [3,7/2,3/2,7/5] *
--------+-------------+--------
2 0 0 0 | 7  * *  * * | 1 1 0 0  acting like a parallel circle
1 1 0 0 | * 14 *  * * | 0 1 1 0
0 1 1 0 | *  * 7  * * | 0 0 2 0  acting like a meridian
0 0 1 1 | *  * * 14 * | 0 0 1 1
0 0 0 2 | *  * *  * 7 | 0 0 1 1  acting like a parallel circle
--------+-------------+--------
7 0 0 0 | 7  0 0  0 0 | 1 * * *  {7/3}
2 1 0 0 | 1  2 0  0 0 | * 7 * *  {3}
1 2 2 2 | 0  2 2  2 1 | * * 7 *  {7/2}
0 0 1 2 | 0  0 0  2 1 | * * * 7  {3}