Comments by "" (@TheDavidlloydjones) on "Кривая Гильберта: полезна ли бесконечная математика?" video.
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Uncomfortable moment: when you try to tile all of infinite space by making a spiral of little squares each of which contains a Hilbert Curve, haven't you just fallen into the problem that the snake curve had, back earlier in the video? Haven't you made a jumping, discontinuous, mess out of all those pleasantly well-proven-out little Hilbert-curves squares?
It would be nice if somebody could post a reassuring No, 't'ain't so. Alternately, is there a better way of tiling-out the plane with a Hilbert Curve of little Hilbert-curve-squares instead of that dumb* spiral?
I think the answer is yes to the first, it's a mess, but then yes to the second (whew!), it can be made to work, but I'm not sure.
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* For once "dumb" as stupid is the same thing as dumb having lost the power of sound.
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