matharium

A clock with a golden spiral for a face. Cut a golden rectangle into a square and a smaller golden rectangle, again and again, and draw a quarter circle in each square: every square is 1/ $ the size of the last, so the spiral shrinks by $ every quarter turn, and all the squares close in on one point, where the hands turn. The hours sit along the spiral, three turns of them, each turn 4 ~ 6.85 times smaller. The seconds hand reaches from that point out to the spiral, so in one minute it sweeps the whole outer turn and gets 6.85 times shorter, then jumps back to 12. Follow @matharium for more. #math #goldenratio #fibonacci