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A class of Curve defined at Integer values which hops from one value to another. Their name derives from the word batrachion, which means ``frog-like.'' Many batrachions are Fractal. Examples include the Blancmange Function, Hofstadter-Conway $10,000 Sequence, Hofstadter's Q-Sequence, and Mallow's Sequence.
References
Pickover, C. A. ``The Crying of Fractal Batrachion 1,489.'' Ch. 25 in Keys to Infinity. New York:
W. H. Freeman, pp. 183-191, 1995.