Acronym sissicu
Name small supersemicupola
VRML
  ©
Circumradius 1.440130
Inradius
wrt. {7}
0.863707
Vertex figure [3,7,3,7/2], [3,72], [3,7,3/2,7/6]
Dihedral angles
(at margins)
  • between {7} and {7}:   79.512670°
  • ...
Face vector 28, 49, 22
Confer
general polytopal classes:
Acrohedra  
External
links
polytopewiki   mcneill  

This polyhedron was found in 2005 by M. Green. Note that the central part of the heptagram acts as a membrane, i.e. is accessible from both sides.

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


Incidence matrix

7 * * * | 2  2 0  0 0 | 1 2 1 0  [3,7,3,7/2]
* 7 * * | 0  2 1  0 0 | 0 1 2 0  [3,7,7]
* * 7 * | 0  0 1  2 0 | 0 0 2 1  [3,7,7]
* * * 7 | 0  0 0  2 2 | 0 0 2 2  [3,7,3/2,7/6]
--------+-------------+--------
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 * * *  {7/2}
2 1 0 0 | 1  2 0  0 0 | * 7 * *  {3}
1 2 2 2 | 0  2 2  2 1 | * * 7 *  {7}
0 0 1 2 | 0  0 0  2 1 | * * * 7  {3}

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