A class of curve defined at integer values which hops from one value to another. Their name derives from the Greek word betaalphataurhoalphachiiotaomicronnu 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.

See also

Blancmange Function, Hofstadter-Conway $10,000 Sequence, Hofstadter's Q-Sequence, Mallows' Sequence, Stolarsky-Harborth Constant

Explore with Wolfram|Alpha


More things to try:


Pickover, C. A. "The Crying of Fractal Batrachion 1489." Ch. 25 in Keys to Infinity. New York: W. H. Freeman, pp. 183-191, 1995.Pickover, C. A. "The Crying of Fractal Batrachion 1489." 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


Cite this as:

Weisstein, Eric W. "Batrachion." From MathWorld--A Wolfram Web Resource.

Subject classifications