Symmetry groups of viral doilies

Are you looking for interesting examples to use in your abstract algebra course to illustrate planar objects with rotational and reflective symmetries? Tired of the usual regular polygons and corporate logos. Already shown your class ambigrams? Feeling pressured to inject biology into your mathematics courses? Look no farther. My colleague sent me a link to the website…

Maypole braid group (solutions)

Yesterday I wrote about the maypole braid group and left two questions for homework. Here are the solutions. The first question was to show that the following maypole braids could not be represented as products of . Observe that each time we apply , one strand moves clockwise and one moves counterclockwise. Thus there is…