120-Cell Sculpture: Six Intertwining Rings

This sculpture highlights the edges of sets of intertwining rings related to Hopf fibrations within the four-dimensional 120-cell 4-polytope.

Because the shapes exist in four-dimensional space, special mathematical techniques are required to visualize them. These sculptures are made using the cell-centered stereographic projection method to create three-dimensional “shadows” of the original four-dimensional shapes. 

The 120-cell is one of six regular convex four-dimensional shapes. It is composed of 120 dodecahedral cells and can be partitioned into twelve 10-cell great circle rings related to the Hopf fibrations.  The lines in this sculpture outline the edges of six of the intertwining rings, for a total of 60 cells.


120-Cell Edge Sculpture

Bonsai Yin Yang 1

Bonsai_Ying_Yang_1.stl

The Devil fruit

Devil Fruit.3mf

Salvador Dalí Bust – Low-Poly Surrealist Sculpture

Salvador close with crayfish_body.stl

Deer in the Forest

Deer scene art_1.stl

Modern Vase

Vase_2.stl

Black Surrealist Hand Clock Sculpture – Modern Abstract Time Art

Liquid watch on hand.stl

Sylveon - Pokemon - Fan Art - Free version

Sylveon.stl

Cute Baby Dragon Keychain

CuteBabyDragonKeychain.stl

SpiderMan Ihand NSPIRED string art

Spider-Man string art.stl

Art Caddy

Art Caddy Plated.3mf

Thinking Alien Sculpture - Support Free

ThinkingAlienSupportFree.stl

HueForge 100x100mm LED Lamp Kit Light Box

HueForge Light Box.step

Chunky People Planter Sitting Holding Head / No Supports

People Planter Sitting 1 (With Drainage )f.stl

Goliath // VR Sculpture

This VR sculpt was an attempt to capture a sense of scale with this otherworldly monster and a tiny warrior bravely standing up against it.

[Relevant Video](https://youtu.be/T16AldMuawo)

Marmalade Reef

I wanted to print something complex to torture test my printers so I sculpted this reef in VR using Gravity Sketch!

It should be able to print without supports, but I would recommend a higher than normal z-hop or vertical retraction (maybe 1mm) during travel moves, since the tallest corals are at risk of being knocked over.

Feel free to scale as desired!

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120-Cell Sculpture: Six Intertwining Rings

Bonsai Yin Yang 1

The Devil fruit

Salvador Dalí Bust – Low-Poly Surrealist Sculpture

Deer in the Forest

Modern Vase

Black Surrealist Hand Clock Sculpture – Modern Abstract Time Art

Sylveon - Pokemon - Fan Art - Free version

Cute Baby Dragon Keychain

SpiderMan Ihand NSPIRED string art

Art Caddy

Thinking Alien Sculpture - Support Free

HueForge 100x100mm LED Lamp Kit Light Box

Chunky People Planter Sitting Holding Head / No Supports

Goliath // VR Sculpture

Marmalade Reef

Hexa Flower Vase - Vases & Planters By Lunfardo

Kidzilla

Runa | Candlecube

Stepped Bin