Rationals

Rationals - To make a list of the rational numbers, start...

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Unformatted text preview: To make a list of the rational numbers, start at (1, 0) and follow the orange path. Note that we skip the points whose coordinates are not relatively prime. The point at position (q, p) is labelled p . The blue q segment with slope p ends at the position corresponding to the reduced fraction. q 11 10 11 2 10 9 11 4 5 92 94 72 73 74 0 1 32 12 5 13 12 14 14 23 32 52 53 10 10 35 37 16 73 74 83 92 58 7 10 16 17 35 37 5 11 57 3 10 29 18 19 18 1 10 1 10 29 38 58 10 7 1 12 12 1 11 1 12 2 11 3 10 3 11 4 11 59 5 11 5 12 6 11 87 97 1 11 49 78 95 3 11 10 19 5 12 2 11 67 76 7 12 4 11 38 47 56 7 11 49 27 75 8 11 59 8 85 94 10 3 17 6 54 79 9 11 6 11 27 15 9 10 89 47 65 72 57 45 34 98 11 12 10 11 67 56 15 11 9 11 10 10 9 78 25 43 8 9 76 25 6 7 75 4 13 11 8 87 45 34 2 4 5 97 54 23 2 3 53 43 2 1 95 65 52 11 7 85 83 4 3 11 6 10 7 6 5 11 5 10 3 8 7 11 3 79 7 10 89 98 8 11 9 10 10 9 7 11 9 11 10 11 7 12 ...
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