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:

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