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Mathematics
General Math
Counting Corners on a Moving Grid: Exploring a Fun Mathematical Problem
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[QUOTE=".Scott, post: 6188631, member: 489053"] If I understand the problem, only on certain stops will the minute hand land on any corners at all. And when it does land on a corner point, it is likely to land on many at a time. At all stops, it will touch the center point - so that's 1. When the minute hand is at the 12:00/6:00 position, it will touch another 60 corners. At 3:00/9:00 is will touch another 60. At 1:30/7:30 and 4:30/10:30 it will touch another 42 each. But then we get into the problem of finding rational solutions to ##cos(\pi y)## where ##y## is rational. I don't believe there are any such solutions beyond what I have already listed. So the tally will stand at 205. [/QUOTE]
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Counting Corners on a Moving Grid: Exploring a Fun Mathematical Problem
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