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#mathart
These artworks are based on a simple procedure I came up with, no randomness but 4 parameters to adjust (apart from the colours). One of the parameters is an angle, slight adjustments can produce significant changes in the output. Best viewed enlarged.
Generated using #Python with the libraries cairo and euclid.
#MathArt #Art #GenArt
A procedurally generated, non-human building. What creatures could live in buildings of this kind?
(There is a correct answer, but other answers are interesting too.)
If anyone wants to make a Half-square Hilbert I made a toy to play with patterns. (fixed a bug from the first go)
I need fabric - so I plan to start maybe later this week.
https://codepen.io/fractalkitty/live/pvoBwxv/edc44d4417167d59d8b2c1d9ad574109
Un pavage de Truchet modifiable en cliquant sur les triangles d'une zone bien précise.
https://www.geogebra.org/m/pngnrsgh
These art pieces are generated starting with a rectangle of given proportions and iteratively generating two smaller rectangles from it, using a simple procedure (which could be easily done with ruler and compass).
Rectangles are coloured according to their proportion and orientation, each piece with a different palette . No randomness here (as usual). Generated using #Python .
#MathArt #Art #Mathematics
#MathArtMarch Day 4: Swirly
Here are 89 circles on a phyllotactic spiral. Part of an ongoing series of artworks expressing the positive integers as a geometric arrangement of identical simple visual elements.
http://drmathart.com/Artwork/N0001-0100/
#MathArt
These two art pieces are based on the deformation of a hexagonal tiling into a topologically equivalent "tiling" composed of parts of concentric circles, all parts having the same area (third image). Selecting one hexagon as the center, we transform it into a circle of radius 1. Next concentric circle will hold the 6 adjacent tiles as sectors of rings. And so on, the circle of level n will have radius sqrt(1+3·n·(n+1)) (difference of radius when n tends to infinity approaches sqrt(3)). This map can be coloured with three colours, like the hexagonal tiling. For the artwork, suppose each sector of ring is in fact a sector of a circle hidden by inner pieces. Then choose a colour and delete all pieces not of this colour. Two distinct set of sectors can be produced, one choosing the central colour, one choosing another colour. Finally recolour the pieces according to its size.
#MathArt #Art #Mathematics #geometry #tiling
Just published: web version of #InflectorGadget inflection mapping gadget for #MandelbrotSet #JuliaSet #fractal #fractals #MathArt
Pro-tip: keep the Add tool selected and use mouse wheel to zoom if available, otherwise (e.g. touch screen) you need to keep switching between tools
Click the hash button in the top left to update the address bar URL before sharing (otherwise it might not be up to date), here's one I did today (3 things in a rabbit: right-handed tree, left-handed tree, line):
#MathArtMarch Day 3: Nature
Swirling Snowflakes
It wasn't until the early 1900s that scientists began to understand the nature of frozen water crystals that leads to their beautiful structure.
#MathArt
Still catching up with early #MathArtMarch themes.
#MathArtMarch Day 2: On a Square Grid
Here are 41 superellipses on a rotated square grid. Part of an ongoing series of artworks expressing the positive integers as a geometric arrangement of identical simple visual elements.
http://drmathart.com/Artwork/N0001-0100/
#MathArt
A while back, @gwenbeads posted about the book “A Stitch in Line: Mathematics and One-Stitch Sashiko” by Katherine Seaton, and it was so relevant to my interests I had to get hold of it. I’ve been working through it ever since, stitching the samplers and playing with the maths.
I’m currently paused at the end of chapter 8 as I wait for new thread (Retors d’Alsace!!!) to arrive for the next sampler. Here’s a photo of all my samplers so far, done on my hand-dyed muslin scraps; my plan is to patchwork them all together into a hanging once I’ve finished.
Gwen’s review of the book is in a paywalled journal, but she’s put a link to free copies (of the review, not the book) here: https://mathstodon.xyz/@gwenbeads/114094206288896863
And for #TilingTuesday this simple #tiling with ellipse arcs.
#MathArt #Mathematics
Fractal of equilateral triangles, and the rule for producing it. For each triangle, 6 triangles of side length 2/5 are generated. All stages are superimposed, using different colours.
#MathArt #Mathematics #fractal
Happy birthday to French mathematician, physicist and philosopher Marie-Sophie Germain (1776 – 1831), known as Sophie. She taught herself mathematics using books in her father’s library and by corresponding with leading mathematicians of her day, including Lagrange, Legendre and Gauss, initially using the pseudonym Monsieur LeBlanc. 
1/n
#linocut #printmaking #sciart #mathart #SophieGermain #ChladniFigures #mathematician #Fermat #womenInSTEM #physicist
Celebrate diversity!
#transdayofvisibility #MathArt #geometry
Rhombicosidodecahedron
Face to face tiling 240 equilateral polyhedra.