Shortest Enclosures on Surface of Cube (Math Chat)
Library Home || Full Table of Contents || Suggest a Link || Library Help
|Frank Morgan, MAA Online|
|The circle provides the least-perimeter way to enclose given area in the plane. What is the least-perimeter way to enclose given area in the surface of the unit cube? Answer: Al Zimmerman correctly finds that the best way to enclose small area is not a small circle on one of the sides of the cube, but better a "circle" around one of the corners... For intermediate areas, he proposes a rectangle about one of the edges, but it turns out that you can do better than that, using circular arcs enclosing two or three of the corners...|
|Levels:||Middle School (6-8), High School (9-12)|
|Resource Types:||Problems/Puzzles, Articles|
|Math Topics:||Higher-Dimensional Geometry, Euclidean Plane Geometry|
© 1994-2014 Drexel University. All rights reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.