Twisted Triangular Prism
A twisted triangular prism is obtained from its right analog by rotating one of the bases relative to the other one. This is no longer a polyhedron, as the side faces are not rectangular, not even parallelgrams, but curved.
The numbers of vertices, edges and faces remain the same so, naturally, Euler's formula checks out:
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Drag the mouse to rotate the prism. Use the right button to remove and put back individual faces.
(Acknowledgement: I have learned most of Java details from the implementation by Meiko Rachimow.)
Copyright © 1996-2018 Alexander Bogomolny