2012 UNCO Math Contest II Problems/Problem 10
Problem
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.)
Solution
(a) (b)
See Also
2012 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 9 |
Followed by Problem 11 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |