# Xah Math Blog Archive 2012-05 to 2012-06

### Space Groups, Math and Chicks

got a chick from Moscow State University asking me about implementing Space group in Mathematica. Life's been worth living.

- Geometry: Plane Tiling Mathematica Package
- The Discontinuous Groups of Rotation and Translation in the Plane
- Geometric Tilings and Patterns Image Gallery

Anna, yes, you.

… haven't worked on this since 1998. I did 2D version. The 3D version would be much spectacular, especially with today's computing technologies (For example, dynamic rotation in web browser). Also, going into higher dimension (For example, 4th) would be a wonderful exercise in writing combinatorics programs or exploration into proof systems. Dimension 7 or higher hasn't been solved yet. Fame awaits!

Nice article:

- ODE notation considered harmful By ?. At http://stochastix.wordpress.com/2012/06/05/ode-notation-considered-harmful/

See also: The Problems of Traditional Math Notation.

### Fractal Gears

updated: The Problems of Traditional Math Notation

Mandelbrot Set Explained (no complex number needed)

complex number simply explained: Geometric Transformation on the Plane