Peano Curve in 3D
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.
Contributed by:
Ed Pegg Jr.
Based on code by:
Gabriel Chenevert
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Hilbert Curve
(
Wolfram
MathWorld
)
Peano Curve
(
Wolfram
MathWorld
)
The Peano Curve
(
Wolfram Library Archive
)
"
Peano Curve in 3D
" from
The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/PeanoCurveIn3D/
Contributed by:
Ed Pegg Jr.
Based on code by:
Gabriel Chenevert
Analysis
Classic Scientific Images
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Golden Spiral
Damped 2D Lissajous Figures
Geometric and Continued Fraction Expansion of the Golden Ratio
Lebesgue 3D Curves
Boole Differential Equation with Continued Fractions
Finite Limit at Infinity
Four-Color Maps
Pythagorean Means
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