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=Robinson Triangles=
 
=Robinson Triangles=
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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.
  
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<center>
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[[File:Golden star.png|frame|300x250px|Pentagram]] <br>
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<small> [https://en.wikipedia.org/wiki/Golden_triangle_(mathematics) Wikipedia] </small>
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</center>
  
==Decompositions:==
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A golden triangle is an isosceles triangle where a ratio between one of the identical sides <math> a </math> and the base <math> b <math> is the golden ratio <math> \phi </math>.
  
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<center>
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[[File:Golden triangle.png|frame|300x250px|Golden triangle]] <br>
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<small> [https://en.wikipedia.org/wiki/Golden_triangle_(mathematics) Wikipedia] </small>
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</center>
  
 
==Further Readings:==
 
==Further Readings:==

Revision as of 23:53, 6 December 2020

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

Previous Section: Golden Ratio

Next Section: Real World Examples

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Prof. Math. Ohio State and Associate Dean
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