the.com/nonagon

the nine-sided shape nobody can draw with just a compass and straightedge

means A polygon with nine sides and nine angles.

from A Latin-Greek hybrid that linguists tend to wince at: Latin 'nonus' (ninth) bolted onto the Greek '-gon' (angle, from 'gonia,' a corner or knee — yes, the same root that gave us the geometry of bent things). Purists prefer 'enneagon,' all-Greek from 'ennea' (nine), but 'nonagon' won the popularity contest anyway.

impossible build
Cannot be constructed with classical compass alone
interior angle
Each corner is exactly 140 degrees
other name
Also called an enneagon, from Greek
sum of angles
All nine angles total 1260 degrees
stop sign cousin
One more side than the octagon
for instance

regular nonagon — 9-sided polygon with equal sides and angles, interior angle of 140 degrees

us steel tower — pittsburgh skyscraper with 64 floors arranged in a nonagonal footprint, completed 1970

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