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Number circle

The natural numbers can be shown in a number circle where the connection with complex numbers becomes apparent.

 


Explanation

In the centre is the 0, because it appears in both the unit circle and in the number circle.

165 166 167 168 145 146 147
164 141 142 143 144 121 122 123 148
140 117 118 119 120 97 98 99 124
116 93 94 95 96 73 74 75 100
92 69 70 71 72 49 50 51 76
68 45 46 47 48 25 26 27
44 21 22 23 24 1 2 3 28 52
20         4  
163 139 115 91 67 43 19   i     5 29 53 77 101 125 149
162 138 114 90 66 42 18 i2 0 i2   6 30 54 78 102 126 150
161 137 113 89 65 41 17 i     7 31 55 79 103 127 151
160 136 112 88 64 40 16           8 32 56 80 104 128 152
15 14 13 12 11 10 9
39 38 37 36 35 34 33
83 62 61 60 59 58 57
87 86 85 84 83 82 81
111 110 109 108 107 106 105
135 134 133 132 131 130 129
159 158 157 156 155 154 153

 


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