Drexel dragonThe Math Forum

The Math Forum Internet Mathematics Library

Triangle Puzzle

Library Home || Full Table of Contents || Library Help

Visit this site: http://geom.math.uiuc.edu/docs/forum/triangle_puzzle/

Author:Evelyn Sander, Geometry Forum Archives, The Geometry Center
Description: Pick an arbitrary point in the interior of an equilateral triangle. Now go halfway towards one of the three vertices (you get to pick which vertex). Now you are at a new point in the triangle. Again go halfway towards any vertex. Continue this process. What is the long-term behavior - what points can you reach after repeating this process an arbitrarily large number of times? ...they form a Sierpinski gasket.

Levels: High School (9-12), College
Languages: English
Resource Types: Problems/Puzzles
Math Topics: Triangles and Other Polygons

[Privacy Policy] [Terms of Use]

Home || The Math Library || Quick Reference || Search || Help

© 1994- The Math Forum at NCTM. All rights reserved.