Octahedra Constructed from Eight Identical Triangles

Requires a Wolfram Notebook System

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

Eight identical copies of any triangle can be used to construct an octahedron, known as the 4-scalenohedron. Choose an arbitrary integer-sided triangle and the Demonstration builds an octahedron using eight copies of . There are as many as three possible solutions for every set of three sides. Some scalenohedra have rational volumes.

Contributed by: Ed Pegg Jr (August 2015)
Open content licensed under CC BY-NC-SA


Snapshots


Details

Reference

[1] Wikipedia. "Bipyramid." (Aug 13, 2015) en.wikipedia.org/wiki/Bipyramid.



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.
Send