2012 UNCO Math Contest II Problems/Problem 10
An integer equiangular hexagon is a six-sided polygon whose side lengths are all integers and whose internal angles all measure .
(a) How many distinct (i.e., non-congruent) integer equiangular hexagons have no side length greater than ? Two such hexagons are shown.
(b) How many distinct integer equiangular hexagons have no side greater than ? Give a closed formula in terms of .
(A figure and its mirror image are congruent and are not considered distinct. Translations and rotations of one another are also congruent and not distinct.)
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