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Number circle

The number circle shows the cyclic structure of the natural numbers.

 


Explanation

In the middle is the number 0, because it appears both in the unit quaternion as well as in the number circle. The inner border starts with 1, and continues till 24.

···                 ··· ··· ···                 ···
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 52
  44 21 22 23 24 1 2 3 28
  20         4  
··· 163 139 115 91 67 43 19 1 k −j   5 29 53 77 101 125 149 ···
··· 162 138 114 90 66 42 18 −k 0 i   6 30 54 78 102 126 150 ···
··· 161 137 113 89 65 41 17 j −i  −1   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
63 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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