how do I draw a convex grid polygon with 40 sides such that it is both horizontally and vertically symmetrical and all internal angles are less than 180 and vertices lie on integer coordinates.
2026-03-30 17:15:41.1774890941
draw a convex grid polygon with 40 sides
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One way to think about this is to have the polygon centered at $(0,0)$ and to have each quadrant contain $10$ sides. In order to have a convex polygon, the coordinates must follow some pattern where the slopes of consecutive sides either increase or decrease throughout the entire quadrant.
Below is an example of a set of coordinates that work for one quadrant: $(0,55),(10,54),(19,52),(27,49),(34,45),(40,40),(45,34),(49,27),(52,19),(54,10),(55,0)$