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the shape that means stop on the road and brawl in the cage

means A flat shape with eight straight sides and eight angles.

from From Greek 'oktagonon,' built from 'okto' (eight) and 'gonia' (angle, corner) — the same '-gon' that runs through pentagon, hexagon, and polygon, all named for their corners rather than their sides. 'Gonia' is a cousin of 'gony,' the knee, the body's own bent angle.

stop signsEight sides so drivers recognize it even snow-covered
fighting cageUFC trademarked the eight-sided Octagon in 2001
angle sumInterior angles total exactly 1080 degrees
islamic artSymbolizes the transition from square earth to circular heaven
truncated squareSlice four corners off a square, octagon appears
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