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Portrait of the Hilbert Curve (2010)

corte.si

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Re: Portrait of the Hilbert Curve (2010)

#12
post #4

> For want of a better term, I've called this Zigzag order. I learned this has a technical name: the zigzag order is called “Boustrophedonic”, after the Ancient Greek tablets where they wrote right-to-left on one line, then left-to-right on the next. https://en.wikipedia.org/wiki/Boustrophedon It totally depends on the specifics of your application, but a little while ago, I compared Hilbert to both Boustrophedonic a…

Right-to-left and left-to-right is how hand-knitting charts are read. But also bottom to top!

Re: Portrait of the Hilbert Curve (2010)

#13

This reminds me of one of my favourite pieces of art, 'Order from Chaos' ( https://allrgb.com/order-from-chaos ). You can see it as an attempt to map two dimensional space to three dimensional space in such a way that close points get sent to close points.

I don’t understand this. Wouldn’t the optimal solution be a constant color over the whole image?

Re: Portrait of the Hilbert Curve (2010)

#15

This reminds me of one of my favourite pieces of art, 'Order from Chaos' ( https://allrgb.com/order-from-chaos ). You can see it as an attempt to map two dimensional space to three dimensional space in such a way that close points get sent to close points.

I don’t understand this. Wouldn’t the optimal solution be a constant color over the whole image?

The additional constraint is that it has to use each colour exactly once.
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