Nylon

Sculpture

All of the regular 4-dimensional polyhedra, projected into 3-space for your convenience.

These are high-quality SLS prints, made by sintering nylon powder which gives excellent freedom of geometry. With all due respect to filament printers, this is the way it should be.

The Set of Six 3D Designs
120-Cell

120-Cell

The dodecahedron is well known as the most noble of all Platonic solids, and this projection of its 4D analogue packs in 120 of them, from the outer hull to the tiny central cell. What a deal!

Available in black color on two weeks notice, just make a note on your order.

Also in steel.

Add to Cart $28
2½” diameter
24-Cell

24-Cell

The only 4D regular solid without an analog among the five 3D Platonics, this is clearly in the neighborhood of the cube and octahedron, but not quite like either: a thing unto itself.

Available in black color on two weeks notice, just make a note on your order.

Also in steel.

Add to Cart $24
2½” diameter
Hypercube A

Hypercube A

The tesseract, showing 8 cubic faces in its most familiar style. This is a cell-first projection, which in 3D is like a cube drawn with one side squarely facing you. Here in 4D the "front" and "back" are regular cubes, without off angles caused by perspective.

Add to Cart $22
2½” diameter
Hypercube B

Hypercube B

A vertex-first projection of the same tesseract, in 3D this is like a cube drawn with a corner facing you, so all its faces are shown in perspective. In this style the hull forms a rhombic dodecahedron, I think it's pretty.

Add to Cart $22
2½” diameter
16-Cell

16-Cell

The 4D style octahedron with 16 tetrahedral faces, dual to the hypercube. In its native dimension all the tetrahedra are regular, here all but two are skewed by the perspective projection into 3-space.

Add to Cart $20
2½” diameter
Simplex

Simplex

With just 4 cells, the 4D tetrahedron.

Add to Cart $16
2½” diameter
600-cell

600-cell

Lastly the 4D icosahedron: 600 tetrahedral cells with five meeting along each edge, just as in 3D five triangles meet at each vertex.

This projection was carefully chosen to make the model buildable at reasonable size.

Add to Cart $32
2½” diameter

The Set of Six

Six Polytopes

Six Polytopes

One of each, which works out to about "buy 5 get 1 free". If you have a preference for hypercube style A or B please make a note in your order, or I'll choose among the prints I have on hand.

Add to Cart $120
2½” each

In 3 Dimensions

Geometria Mirabilis

Geometria Mirabilis

Back in 3-space, here's my take on the 5 Platonic solids, nested into one portable model – with thanks to Kepler.

Add to Cart $40
3¼” diameter