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Phenomena Within the Diamond Pattern

This pattern was grown using black and white Expansions and colored within a paint program before Color Expansions was written. The pattern started from a point diagonally above and to the right of the upper right corner of the image. The pattern was octagonal in form. The vertical and horizontal wedges resolved into uniform frontiers at Power Cycle intervals, (Cycles in the series 1, 2, 4, 8... ), while the diagonal wedges exhibited uniform frontiers in the rare Cycle sequence: 1, 2, 3, 5, 9, 13, 17, 25, 33, 49, 65, 97, 129, 193, 257... The size of the yellow diamonds are proportional to their cyclic sequence.