I have again been playing with some random walks, using the same method as here. This time I used 1000000 iterations and added some colour.
Below are random walks, on the plane (not a lattice) for which step size gets (on average) smaller and smaller with each step. I pick the step size using the Maxwell-Boltzman distribution (with a =1) and a suitable scaling which depends on the iteration parameter. I the add a opacity depending on how many times the points are visited: bright white means a lot, while grey means not many and black never.
Once again, these images are rather for artistic purposes than scientific purposes.
Could you add colors to the images in some random way? This might produce interesting effects.
Hi,
I think adding colour randomly would be no problem. I do not think that adding a colour completely randomly would necessarily create any nice effect. However, I should try this first before making any general statements.