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CurveCurve StitchingStitching 2 Parabolas 4 Parabolas.

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Presentation on theme: "CurveCurve StitchingStitching 2 Parabolas 4 Parabolas."— Presentation transcript:

1

2 CurveCurve StitchingStitching

3 2 Parabolas

4 4 Parabolas

5 8 Parabolas

6

7 How many lines? Sum (1 to 17) (17 x 18)/2 = 153

8 Cardioid n  2n Single Cusp

9 n  2n n  3n n  4n Join the points obeying one of these rules – for example Rule:n  3n1 joins to 3 2 joins to 6 3 joins to 9 …etc…

10 72 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 144 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 Cardioid n  2n Single Cusp

11 Nephriod n  3n Double Cusp

12 72 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 144 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 Nephriod n  3n Double Cusp

13 Epycycloid of Cremona n  4n Triple Cusp

14 72 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 144 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 Epycycloid of Cremona n  4n Triple Cusp

15 2 Parabolas

16 8 Parabolas

17 4 Parabolas

18 8 Parabolas

19 18 Point Mystic Rose

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26 Cardioid n  2n

27 Nephriod n  3n

28 Epycycloid of Cremona n  4n

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