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Devine Lu Ator (neauoire@merveilles.town)'s status on Tuesday, 14-Mar-2023 02:31:14 JST Devine Lu Ator
in reply to

Animated the Hilbert curve fractal in #uxn. It's fun to watch it go.
In conversation Tuesday, 14-Mar-2023 02:31:14 JST from merveilles.town permalink
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1. Hilbet curve fractal walking around into a square, tracing these geometric labyrinths.
- Devine Lu Ator (neauoire@merveilles.town)'s status on Tuesday, 14-Mar-2023 02:31:15 JST Devine Lu Ator
  
  Wrote an implementation of the pretty Hilbert curve fractal. Since it relies on a sort of value swapping scheme, it lends itself pretty well to stack machines assembly.
  https://en.wikipedia.org/wiki/Hilbert_curve
  In conversation Tuesday, 14-Mar-2023 02:31:15 JST permalink
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  1. Untitled attachment
    https://assets.merveilles.town/media_attachments/files/110/014/306/881/105/837/original/d6ed161b4a9df630.png
  2. Hilbert curve
    
    The Hilbert curve (also known as the Hilbert space-filling curve) is a continuous fractal space-filling curve first described by the German mathematician David Hilbert in 1891, as a variant of the space-filling Peano curves discovered by Giuseppe Peano in 1890.Because it is space-filling, its Hausdorff dimension is 2 (precisely, its image is the unit square, whose dimension is 2 in any definition of dimension; its graph is a compact set homeomorphic to the closed unit interval, with Hausdorff dimension 2). The Hilbert curve is constructed as a limit of piecewise linear curves. The length of the n {\displaystyle n} th curve is ...
  Adrian Cochrane repeated this.

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