Showing posts with label tiling. Show all posts
Showing posts with label tiling. Show all posts

Tuesday, November 15, 2011

Polygons and Tessellation

Move the slider and observe what happens.
This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

  1. Which of the regular polygons tessellate? Can you explain why they do?
  2. As n increases can we can find a regular polygons that tessellate? 
    • If yes, how many of them can be found? Are they finite?
    • If no, what is the maximum number of side of a polygon that can tessellate? Why?
  3. Make a conjecture about your observations above. 

If you want to know more about tessellation, you may want to check out the following articles that I have written: