Hollow Polyhedra: Prisms and Antiprisms

by pmoews, published

Hollow Polyhedra: Prisms and Antiprisms by pmoews Feb 3, 2012
0 Share
Download This Thing! Customize Order This Printed Tools & Utilities

Thing Info

4985Views 2499Downloads Found in Math
Report Thing


I recently posted openSCAD polyhedron files for the Johnson solids, thing:16508, based on information in the polyhedra libary at netlib.

The netlib library contains additional polyhedra. Using the same fortran program I converted the netlib files for the prisms, antiprisms, and Platonic solids to openSCAD polyhedron commands, then to stl files, and printed them. See the images at the left. The models were scaled to a maximum dimension of about 50 mm to make a uniform set. I was pleased at how rapidly they printed and how well the flat surfaces at the tops of some of the models were filled in.

The Platonic solids have been done many times before but they came out so well that I have included them here.

These convex polyhedra were made hollow by scaling a copy to make it smaller and subtracting away the unwanted material in openSCAD. A scale factor of 0.9 was used; leaving enough material for a sturdy model.

All of the hollow polyhedra stl files are included in hollow_stl.zip and the scad files that produced them are in hollow_scad.zip. Prisms included are: triangular, pentagonal, hexagonal, octagonal, and decagonal; antiprisms are: square, pentagonal, hexagonal, octagonal, and decagonal; Platonic solids are: tetrahedron, cube, octahedron, dodecahedron, and icosahedron. A module containing the polyhedon command that produces the polyhedra is at the end of each scad file and can be extracted and used in other openSCAD programs. Separate stl files for the tetrahedron, dodecahedron, square antiprism, pentagonal prism, and pentagonal antiprism are included below.

The excellent site, "Virtual Polyhedra" by George Hart has more information, see


The files were printed on a Thing-O-Matic using a heated surface covered with Kapton tape. The surface was cleaned with acetone before each print and the models adhered well to the surface. A raft was used although it may not be necessary if your build platform is well leveled.

As an example the tetrahedron pictured has edges of 59 mm. It took about 50 minutes to print. The finished print weighs 6 grams and has a volume of 24 cubic centimeters. It is light and sturdy.

More from Math

view more

Thing Info

4985Views 2499Downloads Found in Math
Report Thing

Liked By

View All


Give a Shout Out

If you print this Thing and display it in public proudly give attribution by printing and displaying this tag. Print Thing Tag

All Apps

This App connects Thingiverse with Makeprintable, a cloud-based mesh repair service that analyzes, validates and repairs most common mesh errors that can occur when preparing a 3D design file for p...

App Info Launch App

Kiri:Moto is an integrated cloud-based slicer and tool-path generator for 3D Printing, CAM / CNC and Laser cutting. *** 3D printing mode provides model slicing and GCode output using built-in...

App Info Launch App
KiriMoto Thing App

With 3D Slash, you can edit 3d models like a stonecutter. A unique interface: as fun as a building game! The perfect tool for non-designers and children to create in 3D.

App Info Launch App

What about a tesseract, also called an 8-cell or regular octachoron or cubic prism ?

Search Wikipedia tesseract to see what I mean. I would love to have a 10cm model!!

scott - in reply to Guest

Did you ever print the tesseract, I loved to have one as well.