Punctured Polyhedra
Library Home 
Full Table of Contents 
Suggest a Link 
Library Help
http://www.maa.org/mathland/mathtrek_6_19_00.html  


Ivars Peterson (MathTrek)  
A tetrahedron has four triangular faces, four vertices, and six edges. When a vertex of one tetrahedron pierces the face of a second tetrahedron it forms a new, more complicated polyhedron: one triangular face has a triangular "hole" where the face was pierced. Mathematicians describe such a punctured face as being "multiply connected." Several years ago, mathematician John H. Conway wondered whether a polyhedron could have such a polygonal hole passing through each and every face and remain a polyhedron. He coined the term "holyhedron" to describe this form, should it exist... Jade Vinson's surprising solution is now slated for publication in the journal Discrete and Computational Geometry.  


Levels:  High School (912), College 
Languages:  English 
Resource Types:  Problems/Puzzles, Articles 
Math Topics:  Computational Geometry, HigherDimensional Geometry, Polyhedra 
[Privacy Policy] [Terms of Use]
© 1994 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel University School of Education.