A Polyhedral Byway

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Reference

Paul Gailiunas: A Polyhedral Byway. In: Bridges 2001. Pages 115–122

DOI

Abstract

An investigation to find polyhedra having faces that include only regular polygons along with a particular concave equilateral pentagon reveals several visually interesting forms. Less well-known aspects of the geometry of some polyhedra are used to generate examples, and some unexpected relationships explored.

Extended Abstract

Bibtex

Used References

[1] Ounsted J. An Unfamiliar Dodecahedron, Mathematics Teaching 83 (Jun.78), pp.46-7.

[2] Johnson N.W. Convex Polyhedra with Regular Faces, Canadian Journal ofMathematics 18 (1966), pp.169-200.

[3] I was first made aware of this polyhedron by Adrian Pinel

[4] Jessen B. Orthogonal Icosahedron, Nordisk Matematisk Tidskrift 15 (1967), pp.90':96.

[5] Stewart B.M. Adventures Among the Toroids published privately (1980), pp.125-135.

[6] www.atm.org.uk


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Full Text

http://archive.bridgesmathart.org/2001/bridges2001-115.pdf

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http://archive.bridgesmathart.org/2001/bridges2001-115.html