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Showing posts with the label 7x10

BWS Puzzle 42: Midi Rhyme Time #9

  This one almost looks and feels like a themeless puzzle, with this wide open grid. Indeed, just 6 blocks in a 7x10 grid amounts to 6/70 = 3/35 ≈ 8.57% of the grid, which is the lowest I've been able to achieve in any puzzle. Still, I think the shorter fill and knowing the rhyming theme will help you crack into the puzzle. Just now when I did the calculation 3/35 , I noticed a pattern in the decimal digits that is quite interesting and reminds me of another fantastic number: 142,857. If you multiply that number by 2, 3, 4, 5, or 6, the result is a cyclic permutation of the same digits; for instance, 142,857 × 4 = 571,428, found by starting at the 5 and "wrapping around." I'll leave it to you to read a bit about this number and it's connection to 1/7, and then ponder why you think that same pattern shows up in the 3/35 calculation I mentioned. Finally, this is set to post on the Friday just before the 1st week of classes of my Fall 2021 semester. I expect to be p...