Tie-dye tiling

#AlgorithmicArt #CreativeCoding #maze
#Processing #glsl #shaders

I have discovered another non-trivial rectangle partition into scaled copies of itself, with aspect ratio the fourth root of 2 (first picture). I've not found on-line any mention of it. Of course swapping rectangle positions more similar partitions can be made. In the next two figures two of the non-periodic tilings which can be derived from those partitions. As this rectangle is closer to a square than the others I know with this property, it is more suited to do a tiling where the amount of splitting depends on the distance of the tiles to the center of the canvas (last picture). I have changed the code which computes colours so that they can be chosen more precisely and not by a single equation.
#geometry #tiling #mathart #algorithmicArt #AbstractArt #Mathematics

Another look at the Apollonian gasket. This shows that the process doesn't use simple inversion, since that would distort the image within each disc.

Stuck in the Scroll, self-exposure of compulsory scrolling by Ben Grosser

https://neural.it/2025/08/stuck-in-the-scroll-self-exposure-of-compulsory-scrolling/

I made another chapbook! This one is another collection of algorithmic drawings, this time based on connecting midpoints of line segments. If you provide a mailing address, I'll mail one to you!

August Transmission from Highpoint Lowlife now live - https://highpointlowlife.com/

1. SKSSS - blend
2. kodiki - EROHA
3. Rian Treanor & Cara Tolmie - My Little Loophole
4. tsrono - toroid resin
5. KUTHI JIN - FUNGO NERO
6. DELI KUVVETI - she sings to a distant daw
7. Tom Hall - kernel panic
8. bagel fanclub - mutant hell fishing
9. Michael Valentine West - clicktime
10. SYNTƏL8 - escape_velocity
11. Frog Pocket - Fir Faas
12. curvy operations - 9
13. Axine M - Rectilinear Monster
14. Donkey Basketball - Remold / misshapen
15. Radio Species - Rhizome

"The Great Splash". Based on the golden ratio.
#fractal #mathart #algorithmicArt #GoldenRatio

A round hole in a square peg

#AlgorithmicArt #CreativeCoding
#Processing #glsl #shaders

I got this fractal system switched over to the refactored/rewritten version of my Common Lisp library. For some reason, this is noticeably faster than in the original library (which has not always been the case).

These artworks are based on a generalization of Lucas sequences for complex numbers, defined as:
Z(0) = 1
Z(1) = 1 or i
Z(n) = shrink( e^(iθ)·Z(n-1) + Z(n-2) )

Where shrink() is a function which decreases a complex number into the two-unit square or the unit circle centered at the origin. In these works I use three different versions, based on taking out the integer part of the real and imaginary parts (or the integer part minus 1), or of the modulus of the number in polar form.

Figure 1 depicts the 128 values walk using θ = π/5 and Z(1) = i, and the shrinking function which takes out the integer part of the real and imaginary parts.

In the three artworks that follow, the lines connecting successive values toggle between being drawn or not. See the alt text for more information related to the artworks.
#mathart #math #algorithmicArt #AbstractArt

Fractal with decagonal symmetry for #FractalFriday .
#fractal #mathart #algorithmicArt #geometry

Still rewriting the algorithmic art library I wrote in #CommonLisp during the height of COVID. I can't say I've managed to make it too much faster, but it *is* easier to use. The canvas mottling code is so much shorter now, and ready to go.

Drawing on a flat canvas can be boring.

The mottled texturing is managed by just doing a bunch of random walks until the pen leaves the scene. Each one has a color *close* to the original canvas background.

Completed this painting recently. Not sure if I've mentioned this, but I've transitioned to a mode where I create computer algorithms that generate images, which I then paint by hand. I find the process of mapping rigid computer-based processes to the messy real world to be an extremely satisfying approach.