Binary Plot

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 n, square numbers n^2, Fibonacci numbers F_n, and binomial coefficients (n; k).

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 n/(2n+1).

Similarly, by using other bases and coloring the base-b digits differently, binary plots can be extended to n-ary plots.

See also

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References

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Cite this as:

Weisstein, Eric W. "Binary Plot." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BinaryPlot.html

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