Making Kaleidoscopes

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 tetrahedral, octahedral, and icosahedral kaleidoscopes. Net templates to build models are also given.

Contributed by: Izidor Hafner (June 2016)
Open content licensed under CC BY-NC-SA



To build a kaleidoscope, print the net template, glue it onto a metallic folio and fold the fundamental region. The net templates are the same as those for spherical models [1].


[1] M. J. Wenninger, Spherical Models, Mineola, NY: Dover, 1999.

[2] W. W. Rouse Ball and H. S. M. Coxeter, Mathematical Recreations and Essays, 13th ed., New York: Dover Publications, 1987 pp. 155–161.

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.