Friday, July 29, 2011

Stability and chaos are analyzed by computing the Lyaponuv exponent which is plotted above.

Friday, July 15, 2011

A generalization of the Cornu spiral, this is an example of a polynomial spiral described by Dillen (1990) for which the curvature is a polynomial function of the arc length.
Klein's j-invariant in the complex plane
A plot of z = |W(x+iy)|, where W is the Lambert W function

Sunday, July 10, 2011

Point collections by Zach Kron
Zach Kron writes an interesting post about this image, which is created by using several layers of a very basic shape repeated in a pattern and then varying the size and angles, and seems to show up a lot on ceilings and walls of buildings.

Sunday, July 3, 2011

An interesting new look at the Menger sponge: slicing the sponge at an angle produces six-sided stars. One of the proposed exhibits for the Museum of Mathematics, MOMATH.