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Duhoc

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- TL;DR Summary
- interesting counting problem for fun

**Summary:**interesting counting problem for fun

Imagine we draw a circle with diameter d and mark off sixty equal intervals like minutes on a clock. Then we draw two diameters perpendicular to one another and divide each in sixty equal intervals. Using the intervals on the diagonals we lay out a Cartesian plane with corresponding grid. Then we start one of the diameters moving like the minute hand of a clock. And like a minute hand the diameter stops at each point we marked off on the circle. As the diameter makes one revolution what is the sum of corners of the grid it intersects with at all of the stops. If we divided each interval of our plane ten times how many? 100 times? Is there an expression to reflect the number of intersections each time we increase the intervals by one order of magnitude.