Symmetry Groups of Triangles (Abstract Algebra)

We introduce the connection between geometric figures and abstract algebra by showing how you can associate a group with triangles.  The more symmetric the triangle, the larger the group.  We illustrate this by finding the group of symmetries for equilateral, isosceles and scalene triangles.

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We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S

Milne, Algebra Course Notes (available free online)
http://www.jmilne.org/math/CourseNote...

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Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro
Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison
Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison

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