noneuclideandreamer, 4 days ago to genart German

Spheres appearing along a slanted gradient, pinging when they appear.

#sonification #creativecoding #apolloniangasket

Apollonian Sphere Packing built front to back

noneuclideandreamer, 6 days ago to genart German

How deep the Sphere Packing is iterated greatly affects the tune it plays.

#sonification #creativecoding #apolloniangasket

Going through the cross sections of an Apollonian Sphere Packing several times. Each times the iteration is deeper and the Animation slower. The tune gets more disconcerting.

noneuclideandreamer, 7 days ago to random German

Diatonic Music:

If I just take my integer curvatures *12/7 I force my gasket into a diatonic scale. Does it sound better?

#apolloniangasket #sonification #codeart #mastoart

Apollonian Sphere Packing Cross-sections playing sounds on a diatonic scale.

noneuclideandreamer, 8 days ago to random German

Is it music or is it noise?

#codeart #sonification #apolloniangasket

Cross-section of an Apollonian Sphere Packing, the notes played correspond to the curvatures of the visible spheres

noneuclideandreamer, 9 days ago to random German

Apollonian Music!

Full Version: https://youtu.be/MAuyjZuonDQ

#mastoart #sonification #apolloniangasket

We pass through an Apollonian Sphere Packing, seeing its cross-section. Every sphere has a note corresponding to its curvature. It is played when the sphere appears and again when we see it in its full size. Lots of high notes with less deep notes mix to an eerily melodic sound.

noneuclideandreamer, 10 days ago to random German

Spherical Music: Rising through an Apollonian Sphere Packing

#sonification #apolloniangasket

Circles growing into existence then fading away. They give a ping with pitch proportional to curvature when first appearing and when at maximum.

noneuclideandreamer, 14 days ago to random German

Another Sonified Apollonian Gasket CA

#sonification #apolloniangasket #cellularautomata #mastoart

Warping Circle Packing creating sound

noneuclideandreamer, 15 days ago to random German

Soundifying my Apollonian Gasket CA

#sonification #apolloniangasket #cellularautomata

Apollonian Gasket warping and changing colors, the curvature of the defining three circles decide on the pitch of the sound, the rate of change determines the length of the note.

noneuclideandreamer, 7 months ago to random German

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

#apolloniangasket #circlepacking

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noneuclideandreamer, 7 months ago to math German

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

#apolloniangasket #math #circlepacking

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...

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noneuclideandreamer, 7 months ago to random

Working on this months high resolution image for Patrons of Level Square and Up!

Nested All-Integer Appollonial Gaskets, no Gasket appears twice
(I am however allowing reducible Gaskets, e.g from curvatures -2|4|4, leading to a smaller copy of -1|2|2)

If no new Gasket fitting into the circle exists, it is left free...

My Question is: How much recursion is too much recursion? (Here 1,2,4&8 steps)

#mathart #recursion #apolloniangasket

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noneuclideandreamer, 8 months ago to random German

Showing circles of radii between r and 2r for shrinking r.

#spherepacking #mathart #codeart #apolloniangasket

Spheres appearing and vanishing. First big ones, then ever smaller ones.

noneuclideandreamer, 8 months ago to random German

Unwinding an Apollonial Gasket

#mathart #gasket #apolloniangasket

Apollonial Gasket with 2 circle staying constant at curvature -1 and 2, the third defining circle is continuously getting smaller, thus sliding into the narrowing spaace between the others, dragging all 10 generations of iterated circles with it into bliss.