fractalkitty, to genart
@fractalkitty@mathstodon.xyz avatar
noneuclideandreamer, to CA
@noneuclideandreamer@mathstodon.xyz avatar

More than 20'000 Circles warping under the influence of the CA running on them.

#genuary #genuary16 #genuary2024 #circlepacking #ca

Warping colorful Apollonian Gasket

noneuclideandreamer, to random German
@noneuclideandreamer@mathstodon.xyz avatar

I got a bit farther in my Apollonial Gasket Math Notes...

image/jpeg
image/jpeg

noneuclideandreamer, to math German
@noneuclideandreamer@mathstodon.xyz avatar

While my next Theme is cooking, have a look at the math of the last one!

PS: If anyone wants to help with making this accessible... I could not motivate myself to type/TeX this, that's why I went with handwriting...

image/jpeg
image/jpeg
image/jpeg

fractalkitty, to KISS
@fractalkitty@mathstodon.xyz avatar

Day1 - Kiss!

I am going to try to combine procreate and p5js for this year.

Full page: https://codepen.io/fractalkitty/live/yLGELmY

Code on CodePen: https://codepen.io/fractalkitty/pen/yLGELmY

OpenProcessing: https://openprocessing.org/sketch/2027277

I will post as I do stuff here:

noneuclideandreamer, to random German
@noneuclideandreamer@mathstodon.xyz avatar

High Resolution Render for Patrons of Level Square and up - Final Version!

Nested Apollonial Gaskets, 3 steps of Recursion Deep! 25600×25600 pixels, circles rendered down do curvatures of 5120.

noneuclideandreamer, to random German
@noneuclideandreamer@mathstodon.xyz avatar
noneuclideandreamer, to github German
@noneuclideandreamer@mathstodon.xyz avatar

Put the code up for the Apollonial Gaskets!

Iterating, Zooming, Warping... and running a CA on them!

https://github.com/NonEuclideanDreamer/ApollonialGasket

noneuclideandreamer, to random German
@noneuclideandreamer@mathstodon.xyz avatar

Classifying All-Integer Apollonial Gaskets - Class 4a:

-n | n+4 | n(n+4)/4

for n%4=2

(There is no class 3)

Apollonial Gaskets with horizontal symmetry, red always has a curvature 4bigger than blue

noneuclideandreamer, to random German
@noneuclideandreamer@mathstodon.xyz avatar

Classifying All-Integer Apollonial Gaskets - Class 2:

-n | n+2 | (n+1)^2/2 for odd n

Apollonial Gaskets, there are always two third biggest circles.

noneuclideandreamer, to random German
@noneuclideandreamer@mathstodon.xyz avatar
noneuclideandreamer, to random German
@noneuclideandreamer@mathstodon.xyz avatar

Can you guess on what the color depends? 😇

Appolonial gasket developing.

noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

The Inverse of the Radius of a circle is its curvature. All curvatures here are integers. The color of a circle depends on the prime factorization of its curvature.
Especially a 2 reduces red, a 3 reduces green and a 5 reduces blue.

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