Approximate Spikey

Requires a Wolfram Notebook System

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

An approximate Spikey can be constructed from an icosidodecahedron by augmentation with tetrahedra on the triangular faces and removing pentagonal pyramids on the pentagonal faces. The dihedral angle between adjacent equilateral triangles—one from a tetrahedron and the other from an adjacent pyramid—differs from 180° by less than 1°.

Contributed by: Izidor Hafner (January 2019)
Open content licensed under CC BY-NC-SA


Details

A "Giramundo" [1, 2] can be made using 60° rhombuses or golden rhombuses.

References

[1] S. Wolfram. "The Story of Spikey." The Stephen Wolfram Blog. (Jan 7, 2019) blog.stephenwolfram.com/2018/12/the-story-of-spikey.

[2] P. Guerra, Giramundo (blog). (Jan 7, 2019) estrelagira.blogspot.com.


Snapshots



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