Midsphere Tetrahedra and the Canonical Tetrahedron

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

A midsphere polyhedron is one in which all edges are tangent to a unit sphere. A canonical polyhedron is a midsphere polyhedron such that the centroid of the tangent points is at the center of the unit sphere.


There are many midsphere tetrahedra, but the canonical tetrahedron (a regular tetrahedron) is unique.


Contributed by: Ed Pegg Jr (August 2022)
Open content licensed under CC BY-NC-SA



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.