# 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 ?. @ 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