Stable and Unstable Faces of Antiprisms

Requires a Wolfram Notebook System

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

A face of a polyhedron is stable if and only if the orthogonal projection of the center of mass onto the face lies inside the face or on one of its edges. This Demonstration shows that antiprisms with sufficiently small heights are stable only on their bases.

Contributed by: Izidor Hafner (December 2012)
Open content licensed under CC BY-NC-SA


Snapshots


Details

Reference [1] J. Bryant and C. Sangwin, How Round Is Your Circle?: Where Engineering and Mathematics Meet, Princeton, NJ: Princeton University Press, 2008, pp. 273–274.



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