Pascal's Triangle
Pascal's Triangle is able to generate artistic geometric patterns. To do so, choose a remainder. For each number in the triangle, shade that number a different colour for each different remainder. The applet below allows you to try this. For best results, use a modulus between 2 and 16.
If you like Java applets, you may want to check out other Java applets on this site.
After trying this applet for a few different moduli, you may have noticed some interesting things. For example, the patterns produced by prime numbers are simpler than those produced by composite numbers.
Last updated November 25, 2001. URL: http://www.stormloader.com/ajy/pascal.html For questions or comments email James Yolkowski. Math Lair home page