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Summing

Posted By: Bloodrain <bloodrain@clanplaid.net>
Date: 19 June 2001, 11:42

I don't know if anyone has posted this yet, and if so, I apologize for missing it, but I have just realized that the differences between each pair of consecutive numbers sum to zero on every dial. For example, in G1:

37 -18 19 +31 50 +12 62 +13 75 -55 20 +4 24 +17 41 -4 37

Adding the bold numbers:
-18 + 31 + 12 +13 -55 +4 +17 -4 = 0

The same (not surprisingly) is true counterclockwise:
+4 -17 -4 +55 -13 -12 -31 +18 = 0

This is true for each dial. Maybe this is completely trivial, but I think it must have some significance. The differences (clockwise from the top) are listed below:

G1: -18 +31 +12 +13 -55 +4 +17 -4
G2: +45 -23 -14 +27 +29 -54 +57 -67
G3: -11 -22 +6 +7 +7 +51 -57 +19
G4: -37 +13 -4 +91 -76 -29 -1 +43
G5: +36 -42 -9 +47 -22 -3 -20 +13
G6: -6 +11 +65 -66 +1 +5 +46 -56
G7: -21 +94 -86 +72 -64 +17 -18 +6

Someone smarter than I am should run with this...

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