Art and Maths

Galleries

2017
IFS movie
versions of archimedean tilings (only 1 so far)
fractal dual substitution tilings
Rectiling I
Rotation
+++Slide rotation
+++Quadtree rotation
+++Diagonal rotation
More 1\dots n square packings
2016
Image Squares
Double rainbow square tiling
Thue-Morse art
Rational subdivision
+++pentagons
+++triangles
+++other
2015
de Bruijn tilings
Continued fraction carpet
IFS videos
2014
Square Packing
Voronoi GIFs
Voronoi art
Map of fractions
Truchet tiles
IFS art
Non-linear IFS
Barnsley’s IFS
2012
Dynamical systems
Dynamical systems in 3D
Some square tilings
2011
Dynamical systems in 3D 2011
Dynamical systems 2011
2010
Inside out
2008
Pickover-style random point red-to-blue dynamical systems
1990s
(Music clock) Dictionary of Chords & Scales
ongoing
function art
assorted recursive

Maths art – explanations and investigations in progress

Squarology
Voronoi art
Voronoi GIFS
GIFS in general
Truchet GIFS
TSP art
3D dynamical systems
Barnsley’s IFS
Fourier photos
image editing/processing
Inside Out
Tesselation with squares
Geometric dissection
Automated geometric dissection

All pictures (until 2016ish) were made with my own programs written in C++ Builder 4.
Since then – Sage/Python/Cython, C++

Inspirational maths/art books

Computer, Pattern, Chaos and Beauty: Graphics from an Unseen World – Clifford Pickover, 1990
Amazing book. I’ve written so many programs based on ideas from it – biomorphs, strange attractors, Pascal’s triangle variants, dynamical systems of various kinds, Truchet tiles, etc.
Fractals, Chaos, Power Laws – Manfred Schroeder
Similarly, this one is just packed with ideas.
Recreational Mathematics – W. Rouse Ball
The Science of Fractal Images – Barnsley, Devaney, Mandelbrot, Peitgen, Saupe & Voss, 1988
Mandelbrot & Julia set studies & algorithms, binary decomposition, inversion, Barnsley’s IFS, Sierpinski gasket, creating a planet with random faults, strange attractors,
Five Golden Rules, Five More Golden Rules – John L. Casti, 1996
Ron Goldman‘s books on graphics/fractals/curves. This lecture on fractals=splines
Books by John Stillwell
Books by Martin Gardner
Papers by Floyd, Cannon, Parry, Kenyon, Schramm (on squaring, graphs, tesselation, subdivision, the Riemann mapping theorems etc)
Alfred Inselberg – Parallel Coordinates
Books by V.I. Arnol’d
Books and papers by Stefan Felsner (ways of drawing and transforming graphs)
Books by Michael Barnsley

maths art online
http://www.bugman123.com/Math/index.html
Richard Kenyon’s maths art page
Boundary Functions – Scott Sona Snibbe’s interactive voronoi art piece showing personal space.

Leave a Reply

Your email address will not be published. Required fields are marked *