Paper-Folded Fractal Pattern - Know the Name?

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SUMMARY

The discussion centers around identifying a specific fractal pattern discovered through paper folding, which is not classified as Hilbert, Sierpinski, or Moore curves. Participants reference the Dragon Curve as a potential match, highlighting its connection to paper folding techniques. The conversation emphasizes the importance of recognizing various fractal types and their unique properties, particularly in relation to visual patterns created through physical manipulation of paper.

PREREQUISITES
  • Understanding of fractal geometry
  • Familiarity with the Dragon Curve
  • Knowledge of paper folding techniques
  • Basic concepts of mathematical curves and their properties
NEXT STEPS
  • Research the properties and applications of the Dragon Curve
  • Explore the mathematical principles behind fractal geometry
  • Learn about the Sierpinski triangle and its construction methods
  • Investigate the relationship between physical paper folding and fractal patterns
USEFUL FOR

Mathematicians, educators, artists, and hobbyists interested in fractals, paper folding, and geometric patterns will benefit from this discussion.

davee123
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I'm not exactly even sure what group to post this in-- as a child (perhaps 10 years old or so), I happened upon this fractal pattern by folding a piece of paper in half multiple times. Anyway, some years later, when I learned more about fractals, I recognized it for what it was, but I never was able to find out if it had a proper name. Anyone recognize it?

DaveE
 

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Borek said:
Google for Hilbert, Sierpinski and Moore curves, although it is neither of these.

Edit: http://en.wikipedia.org/wiki/Dragon_curve

Woah, thanks! I had remembered "Julia sets", but those were clearly wrong. Neat to see that they even mention the unfolding paper example in the wiki article.

DaveE
 
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