Wunderlich's Bistable Octahedron

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.

This Demonstration shows Wunderlich's bistable octahedron, also known as the jumping octahedron. The polyhedron was discovered by Wunderlich in 1965 and Schoenhardt in 1928. It is formed from a triangular prism by twisting the top relative to the base. A stable condition is obtained when the top touches the cylinder constructed on the base.

Contributed by: Izidor Hafner (June 2014)
Open content licensed under CC BY-NC-SA


Snapshots


Details

References

[1] P. R. Cromwell, Polyhedra, Cambridge: Cambridge University Press, 1997 pp. 222–223.

[2] M. Goldberg, "Unstable Polyhedral Structures," Mathematics Magazine, 51(3), 1978 pp. 165–170. www.jstor.org/stable/2689996.

[2] I. Izmestiev, "Examples of Infinitesimally Flexible 3-Dimensional Hyperbolic Cone-Manifolds," Journal of the Mathematical Society of Japan, 63(2), pp. 581–598. projecteuclid.org/euclid.jmsj/1303737798.



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