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.


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 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 


Weaire-Phelan Tumbler

This “Weaire-Phelan Tumbler” 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 


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120 Cell.stl

Weaire-Phelan Highball

Weaire-Phelan Salver

Weaire-Phelan Tumbler