Circles and PiConstellations
Of course, there are actually 365 days in one year (well, 365.242199 to be exact), but Babylonian mathematicians worked with simple sundials, and this approximation was perfectly adequate.
It also worked well with their existing base-60 number system (since
For many of us, measuring angles in degrees is second nature: there is 360° video, skateboarders can pull 540s, and someone changing their decision might make a 180° turn.
But from a mathematical point of view, the choice of 360 is completely arbitrary. If we were living on Mars, a circle might have 670°, and a year on Jupiter even has 10,475 days.