Vi Hart's Math Doodling

I just came across a phenomenal math blog with lots of different fun components - from mathematical music to mathematical food, but my favorite is the mathematical doodling. This is a fun, high-energy, beautiful exploration of some math topics. I hope you like it. You can go there by clicking the following link: http://vihart.com/doodling/

Spirograph Math

In order to create your own math SPIROGRAPH, click on the Mathematics Playground.

Tessellate

A tesselation is a tiling of the plane so that there are no gaps or overlaps - like a tiled countertop. M.C. Escher used tessellations in much of his work. Some were pure tessellations, like the first picture below, others used a tiling that changed into something else, like the second and third pictures below. The following images are his works (for more see the official M.C. Escher site).

Shodor has a great interactive website where you can make your own tessellations with the help of a Java Applet. I used it to make the tessellation at the top of this post. You can change colors and can choose to begin with a triangle, rectangle or hexagon and can alter these shapes using their sides or corners. I started with a hexagon. The computer helps you alter them in ways that will fit together. Have fun!