Definition:Peano Curve

Definition

A Peano curve is a fractal curve which can be written as a Lindenmayer system.

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Source of Name

This entry was named for Giuseppe Peano.

Historical Note

The original Peano curve was invented by Giuseppe Peano as a demonstration of a continuous curve that completely fills a square.

Many such curves have been invented since then, many of which are considerably simpler than the one invented by Peano.

Sources

• 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.33$: Weierstrass ($\text {1815}$ – $\text {1897}$)
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Peano's curve
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Peano's curve
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Peano curve