Why Does a Stop Sign Have Eight Sides?
A stop sign could have been a circle or a square, but American road planners deliberately gave it a shape used for no other common traffic instruction.
Early stop signs were not standardized. The first examples appeared during the 1910s in several colors and shapes. As automobiles became more common, transportation officials realized that drivers needed to understand signs quickly, even when lettering was difficult to see.
In 1922, the American Association of State Highway Officials selected the octagon as the standard shape for stop signs. Its unusual outline made it recognizable from a distance and at night, when early signs lacked modern reflective materials.
The shape also communicates information from behind. A driver approaching an intersection can recognize the back of an octagon and understand that traffic coming from the opposite direction must stop. This remains useful when the word itself is hidden.
The familiar red color arrived later. American stop signs were commonly yellow with black lettering for several decades because available red pigments tended to fade. Improvements in durable reflective coatings allowed red signs with white lettering to become the national standard during the 1950s.
Shape was part of a larger visual system. Traffic engineers assigned different outlines to different levels of danger and instruction. A circle warned of a railway crossing, a diamond indicated a warning, and an octagon meant stop.
The stop sign was designed to remain understandable when its color, lettering, or even its face could not be clearly seen.
Source: Traffic Control Devices Handbook, Institute of Transportation Engineers - History of the Stop Sign, Federal Highway Administration

Space shuttle Endeavour silhouetted against Earth's atmosphere before ISS docking
Source: By NASA