I've been fumbling around with #openprocessing #logics and #colours and made two sketches demonstrating something like logical combination of colours, applying logical operations to the r, g, b values of the colours to be "mixed". I know this is completely useless but it was a funny prgramming exercise...

You can see (and test) the results in the two sketches

Colour VenDetta:

https://openprocessing.org/sketch/2634928

and Colour VennDango:

https://openprocessing.org/sketch/2635918

Window, Cửa Bắc Church, Hanoi, Vietnam
https://en.wikipedia.org/wiki/C%E1%BB%ADa_B%E1%BA%AFc_Church
#FensterFreitag #tiling #geometry #mathart #photography #architecture

A new (and improved) visualization of what translation looks like under stereographic projection. This is a line drawing, but looks pleasantly like a rendered reflective sphere.

The occasion is, my online shop is moving soon to a new platform. Relocating the math blog was a chance to freshen up some images.

#mathart #parametric #surfaces
https://youtu.be/5jbozOyMR_8

Hexagonal tiling with stars, squares and assymmetric kites for #TilingTuesday

maybe ðere's a reason pentagonal dungeon crawlers haven't been invented yet

Tessellation with cairo pentagons and hexagons (regular and lengthened). All pentagons have the same shape, the ones joining as in cairo tessellations have different colour than the ones which not.
#tilingtuesday #tiling #Mathematics #Mathart

Another visual refinement to a recent demo: adding seams to the optimized tiling scheme. While it breaks the mosaic illusion to some extent, I think it makes the tile sizing idea much clearer. As before, there's a uniform variant with the same number of tiles for comparison.

Source photo: Mary of Egypt by José de Ribera, in public domain.

Floor tiles, Imperial Citadel of Thăng Long, Hanoi, Vietnam
#Tiling #TilingTuesday #Pattern #Geometry #MathArt #MathsArt #photography

Frame by Frame #Monday #Mandelbrot #MathArt #MondayMotivation

A design with roots in a question at math.stackexchange, and not unrelated to the "Anemone" jewelry design.

https://math.stackexchange.com/questions/4358367

https://diffgeom.com/products/abstract-peony-wall-art-poster
https://diffgeom.com/products/anemone-7-2-pendant-golden

This is what I was trying to do originally, I wonder what it would look like if I used rigid rods for the edges.
#MathArt #geometry #animation #loop #geogebra #octahedron #cube #3d

I haven't raytraced anything since last October.. and I've been meaning to take POV-Ray for a spin at last. Then came @curved_ruler's recent posts about Li Dequan's strange attractor, and I knew exactly where to begin :) #MathArt

The recent stipplings and partitionings reminded me of this demo from about 2 years ago. In short, it's a Hilbert curve where the iteration level varies by the colour value. I wanted to make some small changes, but I ended up rewriting it completely. The shader approach seemed needlessly heavy and redundant for something that works more naturally on a CPU. But mostly it was just a fun exercise in looking at the same problem from a different angle.

The first picture shows the original idea. With the new idea, I wanted to get rid of the slanted lines; the result doesn't feel any better to me, but I guess it's interesting in its own way.

Happy birthday to #mathematician Felix Klein (1849-1925). This is a hand-carved and hand-printed image of the famous mathematical object, the Klein bottle, printed in a gradient of pale yellow-green to darker blue-green on paper 8” by 8” (20.3 cm by 20.3 cm). First described by mathematician Felix Klein in 1882, this object has a single surface, rather like a 3D version of a Möbius strip.
#linocut #sciart #printmaking #mathart #FelixKlein #histstm #mathematics #maths #reliefPrint #MastoArt

Three modular origami octahedra made from three different kinds of rectangles (Canoe Unit 60° by me).
From left to right, the rectangles are 1:√2, square and 2:√3.

#origami @origami #MathArt #geometry #octahedron #ModularOrigami #papercraft #craft