Hosted by The Math Forum
Problem of the Week 962
Can You Judge this Book by its Cover?
MacPoW Home ||
Forum PoWs ||
Teachers' Place ||
Student Center ||
Consider a book having one page and front and back covers, all joined along a common spine. Is it possible to cut a Moebius strip out of such a one-page book? (Of course, you can use only a scissors and the given book -- no additional tape.)
More precisely: Take three sheets of paper and attach them along one of their edges to a common spine. Thus they form a book with a cover and one page. Can you cut a Moebius strip out of this topological object?
-- suggested by Tom Tucker, Colgate University
© Copyright 2002 Stan Wagon. Reproduced with
© 1994-2015 Drexel University. All rights reserved.
Home || The Math Library || Quick Reference || Search || Help
The Math Forum is a research and educational enterprise of the Drexel University School of Education.
30 August 2002