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Robinson Triangles

Robinson triangles, also known as golden triangles due to their close relation with the golden ratio discussed previously, make up the spikes of regular pentagrams.

Pentagram

Wikipedia

A golden triangle is an isosceles triangle where a ratio between one of the identical sides $ a $ and the base $ b <math> is the golden ratio <math> \phi $.

Golden triangle

Wikipedia

Further Readings:

One final note – if you like proofs, you will enjoy this site: http://mrbertman.com/penroseTilings.html. It contains many definitions and theorems that deal with how to place a tile correctly (the site uses the term “legally”) and why those rules exist. You can even create your own Penrose tiling!


Penrose Tiling Home

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Alumni Liaison

Recent Math PhD now doing a post-doctorate at UC Riverside.

Kuei-Nuan Lin