A Space-Filling, Nonregular Tetrahedron

Authors

Margaret Cagle, Lawrence Gifted and Highly Gifted Magnet Middle School
Joyce Frost
Christine Latulippe, California State Polytechnic University - Pomona
Darryl H. Yong, Harvey Mudd CollegeFollow

Document Type

Article

Department

Mathematics (HMC)

Publication Date

2011

Abstract

This activity is an investigation of a special nonregular tetrahedron that can be arranged to fill space without leaving any internal gaps in the same way that certain planar figures tessellate the plane. These tetrahedra can be connected together with hinges to make fun and interesting puzzles. More background information can be found in the paper "An Amazing, Space-Filling, Non-Regular Tetrahedron" by Joyce Frost and Peg Cagle, published by the IAS/Park City Mathematics Institute (available at mathforum.org/pcmi/hstp/resources/dodeca/).

Rights Information

© 2011 CMC ComMuniCator

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

M. Cagle, J. Frost, C. Latulippe, Yong, D.H., "A Space-Filling, Nonregular Tetrahedron," ComMuniCator (California Mathematics Council), 35:4 (June 2011), 52-55.