Synthesis

These creatures are made with an IFS which transform one arc into several connected arcs (specifically 1/6 of circumference, which gives more possibilities than other fractions). I show the results of just two iterations for several decompositions, more produces less aesthetic outcomes, and even more the result is indistinguishable from usual fractals. In this post the shapes are derived from a full circumference, next post will include other outcomes derived from other initial shapes (composed by sixths of circumferences).
#MathArt #Mathematics #IFS #fractal #art

My contribution to this week's #WCCChallenge: GOLly dish

https://openprocessing.org/sketch/2609003/

The "dish" is a circle filled with a hex grid of dots that follow the game of life rules and so "live" when they have two living neighbours and otherwise die; the color of a dot depicts the number of life circles.

(Inspired by "Petri Dish" by K Mc Guiness.)

Edit: If you can, use a pc for watching the animation; js appears to be a little too slow on a mobile browser..

Similar procedure as in my penultimate publication, but there the rate of decrease of the circles were constant, whereas here it starts larger and lessens over time. Best viewed enlarged.
#MathArt #Art #GenArt

One of my all-time most read blog posts about one of my most popular tutorials is 11 years old! If you haven't read about Slugs in Love, you should have a look.
https://gwenbeads.blogspot.com/2014/04/new-tutorial-slugs-in-love-earrings-and.html

Find the tutorial here: https://gwenbeads.etsy.com/listing/185139758

Window, North Gate, Imperial Citadel of Thăng Long, Hanoi, Vietnam https://en.wikipedia.org/wiki/Imperial_Citadel_of_Th%C4%83ng_Long#North_Gate_(C%E1%BB%ADa_B%E1%BA%AFc,_or_B%E1%BA%AFc_M%C3%B4n)
#Tiling #TilingTuesday #Pattern #Geometry #MathArt #MathsArt #photography #architecture

Diagonal section of ðe 4d cartesian product of 2 "I want to be a sea urchin and eat cabbage"(yes, really) tilings

kinda like ðis

Unfortunately we are still too dimensionally, perceptually, & probably intellectually challenged to even try to look at ðe full θing

It's #TilingTuesday !

Tiling of 12 colourful ducks.

Two tilings of tangent circles for #TilingTuesday .
#MathArt #tiling #Mathematics

#MathArtMarch Day 8: Pentagon (final post!)
Here are 51 pentagons in a centered pentagonal pattern. 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

"Just remember," she says. "I'm holding you responsible for all of this."

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

buddhabulb
I'm almost disappointed maybe it just needed 100x more samples

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.)

#MathArtMarch Day 7: How Many?
How many small white circles do you see? Clever counting should reveal a fun answer.
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

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

Fun with chiral shapes - cube from snub cubes.

At some point, I have to stop agonizing over color palettes and just post the thing.

Un pavage de Truchet modifiable en cliquant sur les triangles d'une zone bien précise.
https://www.geogebra.org/m/pngnrsgh