Abdalla G. M. Ahmed
I am primarily interested in monochrome Algorithmic Art, with applications including decorating pixel patterns and weaving. Recently I have been much inspired by Inglis and Kaplan's work on op art, and motivated by the chalenges they highlighted in their papers on this topic.
This is an Euler tour (single loop) around the world map, visiting
every point once and only once, before returning back. The
finished work looks like op art, where vertical lines represent
land, and horizontal lines represent sea. The idea is inspired
primarily by Inglis-Kaplan work on op art, and secondarily by
Bosch-Kaplan TSP art.
Realization is partially inspired by Cameron Browne's work on
"Truchet curves and surfaces". This represents the mathematical
part, where a spanning tree is made to cover the world, guided by
image information, and it is then outlined to make the op art. The
spanning tree itself represents the 'interior' of Jordan curve
theorem.
AA-Bitmaps are ornamental monochrome pixel patterns exhibiting
nested structures. To make these patterns more life we port them
into Conway's Game of Life (GoL); then these patterns evolve into
interesting patterns over generations.
It is not difficult to make Symmetric AA-Bitmaps, and such
symmetry would evolve into a kaleidoscope-like effect in GoL.
It would be interesting to study the behavior of AA-Bitmaps in GoL
analytically, trying to find out which patterns generate visually
appealing growth, which ones live longer, and so on.