A class of curve defined at integer values which hops from one value to another. Their name derives from the Greek word
batrachion,
which means "small frog." Many batrachions are fractal.
Examples include the Blancmange function,
Hofstadter-Conway $10,000 sequence,
Hofstadter's Q-sequence, and Mallows' sequence.
Batrachion
See also
Blancmange Function, Hofstadter-Conway $10,000 Sequence, Hofstadter's Q-Sequence, Mallows' Sequence, Stolarsky-Harborth ConstantExplore with Wolfram|Alpha
References
Pickover, C. A. "The Crying of Fractal Batrachion
." Ch. 25 in Keys
to Infinity. New York: W. H. Freeman, pp. 183-191, 1995.Pickover,
C. A. "The Crying of Fractal Batrachion 
." Comput. & Graphics 19, 611-615,
1995. Reprinted in Chaos
and Fractals, A Computer Graphical Journey: Ten Year Compilation of Advanced Research
(Ed. C. A. Pickover). Amsterdam, Netherlands: Elsevier, pp. 127-131,
1998.Pickover, C. A. "Cards, Frogs, and Fractal Sequences."
Ch. 96 in Wonders
of Numbers: Adventures in Mathematics, Mind, and Meaning. Oxford, England:
Oxford University Press, pp. 217-221, 2001.Referenced on Wolfram|Alpha
BatrachionCite this as:
Weisstein, Eric W. "Batrachion." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Batrachion.html