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Binary Plot


BinaryPlot

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 fraction plot

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

Binary, Integer Sequence, n-ary Plot

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References

Pegg, E. Jr. "Math Games: Sequence Pictures." Dec. 8, 2003. http://www.maa.org/editorial/mathgames/mathgames_12_08_03.html.

Referenced on Wolfram|Alpha

Binary Plot

Cite this as:

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

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