Explorations of Tilings

Mail: ccollins@math.utk.eduRelated ProgramsAll the work will be done with two other programs Kali and Geometer's SketchpadKaliTo run Kali, follow this link and click onRun the programIf you need instructions, they are online. There's no assignment, just play around with the different symmetries and see what kind of interesting patterns you can create. It might be helpful for the homework, or maybe not!Geometer's SketchpadThis is a program on the computer under Math Programs (if not then it is in it's own separate folder, maybe labeled 'Sketchpad') Download the following files and check them out. Most are related to the notes on tilings. Just start the program and load the files and play around with them. Isometries

A pattern

A pattern

A pattern

A pattern

Theorem 4

Theorem 5

Theorem 6

Theorem 7

More of Theorem 7