noneuclideandreamer, to random German
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Sonify a incomplete Hyperbolic Honeycomb. Each face type has a note. We play the closest.

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noneuclideandreamer, to math
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noneuclideandreamer, to genart
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noneuclideandreamer, to math
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noneuclideandreamer, to math
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Cantellated Hexahedra
Truncated Dodecahedra
Decagonal Prisms
Hexahedra

My fyrst 4-pyramidic vertex figure.

Orbiting a Vertex of a Colorful Hyperbolic Honeycomb

noneuclideandreamer, (edited ) to random German
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Not Truncated Trihexagonal Tilings,
Truncated Dodecahedra

(Edit: mixed it up a bit.)

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noneuclideandreamer, to genart
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Truncated Cuboctahedra
Truncated Icosahedra
Pentagonal Prisms

Colorful Hyperbolic Honeycomb

noneuclideandreamer, (edited ) to random
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Hyperbolic Soccer Ball Fractal

noneuclideandreamer,
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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
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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.

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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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Dodecahedral Honeycomb of Order 5

This took a while...

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While the Honeycomb with tetrahedral vertex figure and Hexagonal faces is paracompact, Heptagonal or even bigger faces lead to noncompact Honeycombs.

Hyperbolic Honeycombs with tetrahedral vertex figure. First with Hexagonal faces, then Heptagonal and so on. The faces seem to curve back more and more.

noneuclideandreamer, to random German
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Proudly presenting my First Hyperbolic Tesselation! The Hexagonal Tiling Honeycomb: Each 3-cell is essentially a Euclidean half plane.

moira, to 3DPrinting
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oh btw since i figured system compatibility should be cross-compatibility when possible, I made a mounting plate to let people use my VPSS accessories with honeycomb walls. It's an alpha and going to be kind of a paint to print for reasons, but it should work:

https://www.thingiverse.com/thing:5801461

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