The finer details of the tree resemble the Lévy C curve.

For the value of , the resulting curve is the Lévy C curve.

The Lévy C curve is sometimes known as the Lévy dragon.

The fractal curve that is the limit of this "infinite" process is the Lévy C curve.

The Cantor function, Césaro curve, Minkowski's question mark function, the Lévy C curve, the blancmange curve and the Koch curve are all special cases of the general de Rham curve.

Lévy processes, Lévy measures, Lévy's constant, the Lévy distribution, the Lévy skew alpha-stable distribution, the Lévy area, the Lévy arcsine law, and the fractal Lévy C curve are also named after him.

The idea of self-similar curves was taken further by Paul Lévy, who, in his 1938 paper Plane or Space Curves and Surfaces Consisting of Parts Similar to the Whole described a new fractal curve, the Lévy C curve.