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Can Regular Tetrahedra be Glued Together Face to Face to form a Ring?

Published online by Cambridge University Press:  03 November 2016

J. H. Mason
J. H. Mason*
Affiliation:
The Open University, Walton Hall, Bletchley, Bucks
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Extract

Suppose someone gave you a large collection of identical regular tetrahedra. Would it be possible to glue them together face to face in such a way that you formed a nontrivial ring, or doughnut, in the sense that, during the glueing process, you could glue a tetrahedron both to your last tetrahedron and your first? Tetrahedra would be allowed to cut into each other if necessary.

Type
Research Article
Information
The Mathematical Gazette , Volume 56 , Issue 397 , October 1972 , pp. 194 - 197
Copyright
Copyright © Mathematical Association 1972

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