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In mathematics, a de Rham curve is a continuous fractal curve obtained as the image of the Cantor space, or, equivalently, from the base-two expansion of the real numbers in the unit interval. Many well-known fractal curves, including the Cantor function, Cesàro–Faber curve (Lévy C curve), Minkowski's question mark function, blancmange curve, and the Koch curve are all examples of de Rham curves. The general form of the curve was first described by Georges de Rham in 1957.[1]
- ^ Georges de Rham, Sur quelques courbes definies par des equations fonctionnelles. Univ. e Politec. Torino. Rend. Sem. Mat., 1957, 16, 101 –113