Group Theory
&
Rubik's Cube

Fall 2008
course
navigation

questions

Anyone in the class edit this page. Brownie points for both good questions and good answers.

fractal dimensions (Nov 18)

Q: Do symmetries exist within fractal dimensions? Is it possible that we can look into a 2 or 3 dimensional lattice from a 4th, fractal, or 5th dimensional perspective to create that lattice... say, a lattice in the shape of pentagons? -Parker
A1: The "fractional dimension" idea is typically used to describe how much "area" a fractal occupies; I don't know how to treat it as a "space" like 2D or 3D space in which a pattern is drawn. So I'm not sure what "symmetries within" one would mean. - Jim M
A2: I'm sure people have looked at lattices in N dimensions, but I don't know anything about the topic. The following references might help you find related topics. - Jim M
http://cs.marlboro.edu/ courses/ fall2008/rubik/ wiki/ questions
last modified Tuesday November 18 2008 2:09 pm EST