Peano Curve in 3D

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Can a simple curve completely fill space? Giuseppe Peano first solved this question, and now space-filling curves are called Peano curves in his honor. The Hilbert curve, shown in this Demonstration, is the best-known Peano curve.

External Links

Hilbert Curve (Wolfram MathWorld)
Peano Curve (Wolfram MathWorld)
The Peano Curve (Wolfram Library Archive)

Permanent Citation

Ed Pegg Jr., Gabriel Chenevert
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​"Peano Curve in 3D"​
​http://demonstrations.wolfram.com/PeanoCurveIn3D/​
​Wolfram Demonstrations Project​
​Published: September 28, 2007