slacle, to genart
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noneuclideandreamer, to random German
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noneuclideandreamer, to random German
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Diatonic Music:

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

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

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This Month's high-res Render for Patrons of Level Square and up:

Three equal-mass white stars in a periodic figure-eight orbit. Three sets of zero-mass planets with gradually different initial velocities.

This is how I looked for orbits where the planet doesn't get kicked out.

Full Resolution: 21000×12000pixel

Detail with all 3 gradients visible. One can see the white stars' orbit doesn't match exactly. (At some point there is just enough dine-tuning)
Detail with some nice Moiré patterns
At the end the gradients dissolve into individual planets. Planets at the end od rhe gradients are a bit smaller.

noneuclideandreamer, to evolution German
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This is a bi-generational lifeform:

Plants grow animal offspring, animals shed seed for new plants.

In animal form the genes are more mobile, while in plant form they can shed leaves to better endure extreme temperatures.

Blue dots (animals) appear on green plants, move around a little, then seed out geen plants, such that the forest grows... When temperature rises the animals migrate, but don't survive, but the forest grows new animals.

lo, to genart
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noneuclideandreamer, to random German
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noneuclideandreamer, to evolution German
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noneuclideandreamer, to math
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Truncated Order-5 Dodecahedral Honeycomb

Truncated Dodecahedra and Icosahedra

noneuclideandreamer, to math
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noneuclideandreamer, to random
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noneuclideandreamer, to genart
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noneuclideandreamer, to random
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noneuclideandreamer, to math
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noneuclideandreamer, (edited ) to random
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Hyperbolic Soccer Ball Fractal

noneuclideandreamer,
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noneuclideandreamer, to random German
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noneuclideandreamer, to random
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Truncated Square Tiling Honeycomb

This one is paracompact!

Squares and Octagons forming a vast structure

noneuclideandreamer, (edited ) to random
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Omnitruncated Dodecaicosahedral Honeycomb I guess...

noneuclideandreamer, to random
@noneuclideandreamer@mathstodon.xyz avatar

Alright!

My First proper Archimedean Honeycomb!

Finding the right sidelength so that the six angles match up perfectly at the vertex was quite a math mess. It doesn't seem to work for all confugurations yet, but still, yay! ^^

Honeycomb consisting of 3 truncated cuboctahedra meeting per vertex.

noneuclideandreamer, (edited ) to random
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Square Tiling Honeycomb

Full Musical Version: https://youtu.be/LsOKoC-XxZs

noneuclideandreamer, to random German
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This month's high-res Render for Patrons of Level Square and up is the Square Tiling Honeycomb of order 3!

Lower Corner with Ambigram Signature at half Resolution
Detail At Full Resolution
Full Image at 1/8th Resolution

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