Enneahedra with 10 vertices: 33333 4 555

Steven Dutch, Professor Emeritus, Natural and Applied Sciences, University of Wisconsin - Green Bay


There are 64 of these. Each row shows the three views using each of the three pentagons as a base. Additionally, there is one view with the sole quadrilateral as a base. That view shows the relationships of the three pentagons. It turns out that the view with the quadrilateral as base displays the distinct topology of the polyhedron, and the relationship of the pentagons, best.

General Notes on polyhedron Enumeration

All the polyhedra shown here have three pentagon-pentagon edges. The polyhedra below enclose one triangular face between the pentagons.

The polyhedra below enclose two triangular faces between the pentagons.

The polyhedra below enclose three or four triangular faces between the pentagons.


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Created 15 September 2015, Last Update 11 June 2020