Enneahedra with 10 vertices: 33333 4 555

Steven Dutch, 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

These polyhedra have two pentagons joined at a single vertex. The polyhedra below enclose two triangle faces within the three pentagons.

The polyhedra below enclose three triangle faces within the three pentagons.

The polyhedra below enclose four triangle faces within the three pentagons.


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Created 15 September 2015, Last Update 27 September 2015

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