-
Recent Posts
Recent Comments
Archives
- September 2019
- August 2019
- July 2019
- April 2019
- March 2019
- November 2018
- October 2018
- September 2018
- August 2018
- March 2018
- February 2018
- January 2018
- December 2017
- November 2017
- September 2017
- August 2017
- July 2017
- June 2017
- May 2017
- February 2017
- January 2017
- November 2016
- February 2014
- January 2014
- December 2013
- November 2013
- October 2013
- September 2013
- August 2013
- May 2013
- April 2013
- March 2013
- February 2013
- January 2013
- December 2012
- November 2012
- October 2012
- September 2012
- August 2012
- July 2012
- June 2012
- May 2012
- April 2012
Categories
Meta
Monthly Archives: February 2013
Fractal surprise from complex function iteration: The movie
The movie shows the images as discussed int the earlier post “Fractal surprise from complex function iteration” for a decreasing value of the constant c. The program of the last post creates the movie frames. The movie begins with c=0.4 … Continue reading
Posted in Self-similarity
Tagged Chaos and Fractals, fractal, fractal design, julia set, Mandelbrot set, Self-similarity
1 Comment
Fractal surprise from complex function iteration: The code
// here is the program for the last post // Fractal surprise from complex function iteration // simply use it in processing 1.5 (I don’t know if it works in the new version 2.) // you can download it from … Continue reading
Fractal surprise from complex function iteration
Recently I got the inexpensive Dover reprint of Clifford A. Pickover’s book “Computers, Patterns, Chaos and Beauty”. Part of it extends topics presented in “The Armchair Universe” by Dewdney. And there are other interesting ideas in Pickover’s book. Get it, … Continue reading
Posted in Self-similarity
Tagged Color, fractal design, iteration, julia set, Mandelbrot set
Leave a comment
How to program an ideal kaleidoscope
I have always been fascinated by kaleidoscopes. But often the mirrors were not well aligned resulting in disappointing images. Thus created a virtual kaleidoscope on the computer. Then it is easy to have perfect mirrors and to try different geometries. … Continue reading
Cellular automation on the lattice of triangles
The tessellation of triangles can easily be mapped onto the square lattice, see the figures at the left and right. Upright triangles (colored green) and upside-down triangles (white) go into separate rows. The lines of interaction for the Von Neumann … Continue reading
Posted in Cellular automata
Tagged Cellular automaton, triangular lattice, Von Neumann neighborhood
Leave a comment
The Voronio diagram of quasiperiodic tilings
In the post “Beautifying the double grid” I have shown how to get an interesting trellis by distorting the grid of a quasiperiodic tiling. Here I am showing Voronoi diagrams of the corner points of tilings, which make nice trellis … Continue reading
Posted in Tilings
Tagged Ammann–Beenker tiling, quasiperiodic Tiling, Socolar tiling, Stampfli tiling, Voronoi diagram
Leave a comment
Doubling the semiregular tesselation of hexagons and many triangles
There is one semiregular tessellation of six-fold rotational symmetry left over which I have not yet used to create a quasiperiodic tiling of 12-fold rotational symmetry. It has rings of triangles such that the hexagons do not touch each other, … Continue reading