Great Math Software: Polyhedrons and Polytopes

By Xah Lee. Date: . Last updated:

This page list some of the great math software that do polyhedron.

Great Stella screenshot

Stella and Great Stella These are great polyherons programs that the author intended to be the ultimate one, and it truely is a excellent program. This is probably the most comprehensive software for polyhedrons. Author is by Robert Webb. Win (2004-01,2006-08)

Polyhedra Stellations Applet, by Vladimir Bulatov. “This applet calculates stellations of majority of uniform polyhedra and their duals.” Java ()

KaleidoTile screenshot

KaleidoTile does interactive polyhedron software by Jeff Weeks. You can see how some polyhedra can be generated by mirroring tiles in space, and how one transforms into another. All this in real-time with dynamic control. Download at: Mac Win

hyperspace polytope slicer

HyperSpace Polytope Slicer. Mark Newbold has written some beautiful polytope visualization Java appletes. One is called HyperSpace Polytope Slicer, which lets you view any of the 6 4D regular polytopes by slice. Here it is: Java

hyperspace star polytope slicer screenshot

Hyperspace Star Polytope Slicer. This one is more general but much demanding on the computer: It is very well-done, and with very detailed explanations. (2003-09,2006-08) Java

Poly Poly is another interactive 3D program that does polyhedra. This program contains a fairly complete set of regular and semi-regular solids that includes: Platonic, Archemedean, Prism and Antiprisim, Johnson, Catalan, Dypyramids and Deltohedrons. A special feature of the program is showing the solids as nets (graphs) and flat un-wrapped represenations. (the latter is good for making paper models of the solid.) Poly is a shareware. It's available for Mac and Windows. Download it at Pedagoguery Software. (2001-01,2006-08) Mac Win

See here for some outdated or small polytope programs.

Magic Polyhedrons

Kawai MP9000 piano dodecahedron
magic dodecahedron.

see Magic Polyhedrons