undefined | Better HN

0 pointsemptybits9y ago0 comments

> A square is very "round" in the sense that it is very close to a circle in terms of shape, compared to all other possible polygons out there.

Regular convex n-gons approach a circle in terms of shape as n increases. A square represents n=4. For any n>4, the polygon will be closer to a circle in terms of shape than a square, no?

ADDED: Right. Thank you for pulling my head out of abstract, regular convexness. IRL FTW. :-)

0 comments

sirclueless9y ago

Yes, but you are only looking at regular N-gons, while the person you are responding to is considering all polygons.

Square countries are relatively close to being circular compared to the many highly irregular countries out there, not compared to other regular N-gons.

Tideflat9y ago

Many countries are irregular polygons like Chile. Thus a square is very close to a circle, relative to the other shapes.

j / k navigate · click thread line to collapse