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Date: 8-5-2020
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Date: 7-1-2021
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Date: 14-8-2020
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A binary plot of an integer sequence is a plot of the binary representations of successive terms where each term is represented as a column of bits with 1s colored black and 0s colored white. The columns are then placed side-by-side to yield an array of colored squares. Several examples are shown above for the positive integers , square numbers
, Fibonacci numbers
, and binomial coefficients
.
Binary plots can be extended to rational number sequences by placing the binary representations of numerators on top, and denominators on bottom, as illustrated above for the sequence .
Similarly, by using other bases and coloring the base- digits differently, binary plots can be extended to n-ary plots.
REFERENCES:
Pegg, E. Jr. "Math Games: Sequence Pictures." Dec. 8, 2003. http://www.maa.org/editorial/mathgames/mathgames_12_08_03.html.
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