Cosmic Star Fidget Toy

Connector.stl

Snap Ball (Truncated Icosahedron) 

Snap Ball Display.stl

Snap Star

Snap Star Display only do not print.stl

Icosahedron Pyramids // Folding Polyhedra Pack No.1

folding-polyhedra-pack-03-icosahedron-icosahedron-pyramids.stl

Rhombic Triacontahedron Spore // Folding Polypanel Pack No.1

Rhombic Triacontahedron Rhombictriacontahedron. _Rhombic Triacontahedron Rhombictriacontahedron._ **Rhombic Triacontahedron Rhombictriacontahedron** ... say that three times fast!

Don't worry, this awesome shape is way easier to print than it is to pronounce. It prints flat and then folds and snaps into place. Super cool!


This is a freebie from my [Folding Polyhedra Pack No.1](https://www.myminifactory.com/object/3d-print-folding-polyhedra-pack-no-1-81865)

Rhombic Triacontahedron Rhombictriacontahedron Spore // Folding Polypanel Pack No.1

Screwball Puzzle

C.stl

120-Cell Polychora Planter

This Polychora Planter is derived from the four-dimensional 120-cell 4-polytope, or polychoron.

The 120-cell is one of six regular convex four-dimensional shapes. It is composed of 120 dodecahedral cells. 

4-polytopes cannot be seen in three-dimensional space due to their extra dimension, but there are several techniques that can be used to “project” 4-polytopes into three-dimensional space. This design uses the cell-centered stereographic projection method, chosen for the interesting aesthetic appearance.

While these three-dimensional shapes have curved faces and edges of various lengths, it is interesting to imagine that in four-dimensional space, the faces are flat, and the edges are straight and identical in length.

In this design, select cells have then been removed to allow better visualization of the inner cells, and the outer cells have been hollowed for uses as planters of containers of some kind.


Hyperdodecahedron // Folding Polyhedra Pack No.1

This 4 dimensional dodecahedron prints flat and then folds and snaps into place! That means you can get cool multicolor parts on all faces with simple color swaps as well as crazy geometry without support material!

This is a freebie from my [Folding Polyhedra Pack No.1](https://www.myminifactory.com/object/3d-print-folding-polyhedra-pack-no-1-81865)

folding-polyhedra-pack-04-dodecahedron-dodecahedron-hyperplus.stl

Bals Sphere Fidget Toy

Bals Sphere.3mf

120 Cell.stl

This is a three-dimensional shadow of a four-dimensional shape called the “120-cell.”

See here for video: https://youtu.be/oquFgOw6k28 

The 120-cell is one of six regular convex four-dimensional shapes. It is composed of 120 dodecahedral cells.

Technically, this model only includes 107 of the 120 dodecahedral cells. The outer layer of cells is proportionally much larger and would be difficult to print. In fact, the outmost cell is infinitely large, which would be very difficult to print.

This is a cell-centered stereographic projection, meaning that there is a single small dodecahedral cell at the center. Can you see it?

This model is designed for resin printing.


120-Cell Sculpture: Two Intertwining Rings 

120-cell Two Intertwined Edge Rings.stl

Weaire-Phelan Highball

This “Weaire-Phelan Highball” is part of a set of three tableware pieces inspired by the Weaire-Phelan structure, the most mathematically efficient way for equal-volume bubbles to fit together to make foam. See here for video: https://youtu.be/f4YIuS_-hSE

This piece could be used as a vase or pencil holder.

The Weaire-Phelan structure is made up of two pentagonal dodecahedra (12-sided) and six tetrakaidecahedra (14-sided) that form a translation unit with a lattice periodicity which is simple cubic. In crystallography, this structure is also known as the A15 Frank-Kasper phase.

There is a good introduction to the “Weaire–Phelan structure” here: http://www.steelpillow.com/polyhedra/wp/wp.html 


Weaire-Phelan Tetrastix

Weaire-Phelan Tetrastix Display Only Do Not Print.stl

Golden Rhombohedra 

Display only do not print.stl

Weaire-Phelan Salver

This “Weaire-Phelan Salver” is part of a set of three tableware pieces inspired by the Weaire-Phelan structure, the most mathematically efficient way for equal-volume bubbles to fit together to make foam. See here for video: https://youtu.be/f4YIuS_-hSE

The Weaire-Phelan structure is made up of two pentagonal dodecahedra (12-sided) and six tetrakaidecahedra (14-sided) that form a translation unit with a lattice periodicity which is simple cubic. In crystallography, this structure is also known as the A15 Frank-Kasper phase.

There is a good introduction to the “Weaire–Phelan structure” here: http://www.steelpillow.com/polyhedra/wp/wp.html 


Tetrahedron Octahedron

All.3mf

Dodecahedron Planetarium // Folding Polyhedra

planetarium-full.stl

Icosahedron

Icosahedron.stl

600-Cell Central Rings.stl

This is a three-dimensional shadow of selected cells of the four-dimensional shape called the “600-cell.”

See here for video: https://youtu.be/IhW48X29e0g 

The 600-cell is one of six regular convex four-dimensional shapes. It is composed of 600 tetrahedral cells.

The full 600-cell is so ridiculously complex that it nearly impossible to see or understand in its entirety, so it is helpful to view it in parts.

If you look closely at this selection of cells, you can see how it is composed of nine interlocking rings connected by “struts.”  In the full 600-cell, these small “struts” are in fact part of complete rings. This gives some idea of how large and complex the full shape would be.

This model is designed for resin printing.


Polyhedra Connect-it Tiles - Voronoi

Octagon_Voronoi.stl

Polyhedra

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Cosmic Star Fidget Toy

Snap Ball (Truncated Icosahedron)

Snap Star

Icosahedron Pyramids // Folding Polyhedra Pack No.1

Rhombic Triacontahedron Spore // Folding Polypanel Pack No.1

Screwball Puzzle

120-Cell Polychora Planter

Hyperdodecahedron // Folding Polyhedra Pack No.1

Bals Sphere Fidget Toy

120 Cell.stl

120-Cell Sculpture: Two Intertwining Rings

Weaire-Phelan Highball

Weaire-Phelan Tetrastix

Golden Rhombohedra

Weaire-Phelan Salver

Tetrahedron Octahedron

Dodecahedron Planetarium // Folding Polyhedra

Icosahedron

600-Cell Central Rings.stl

Polyhedra Connect-it Tiles - Voronoi