Ok, new puzzle.
Can you construct a convex polygon so that all the interior angles are equal, but the sides are of length 1, 2, 3, 4, 5, and 6 (in some order)?
Convex polygon just means a polygon whose internal angles are < 180.
So a regular hexagon is convex, but something like:
/\/\
\ /
\ /
(supposed to be a 6-sided heart shape)
is not because the V at the top has an internal angle > 180.
Last edited by psyang; 07-24-2022 at 08:29 PM.
Reason: heart ascii diagram didn't come out right.
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