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The Hypnotic World of Degenerate Spirals

dogatekin.com

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Re: The Hypnotic World of Degenerate Spirals

#22
post #20

I find it interesting that the visualizations seem to cycle polygon complexity, from circles to squares to triangles and back again.

I found this very interesting too, and it actually has a great explanation! Maybe I should have even explored this side a bit deeper in the post itself.

Let's say the spiral has rotated 6000 degrees, and I'm approximating it with 100 points (one point every 60 degrees) and line segments. Well, a hexagon is nothing other than 6 points chosen 60 degrees apart from each other at the same distance from a central point, connected with straight lines. The same thing holds for a square at, e.g. 9000 degrees.

Check out these images to see what I mean: https://imgur.com/a/mvIVuch

Re: The Hypnotic World of Degenerate Spirals

#24

Earlier quoted context omitted.

Yep, I think the effect is basically caused by aliasing, much like the moiré effect. Very cool!

No aliasing is required. I was first introduced to moire patterns by a book with a bunch of line patterns, and a sheet of transparent plastic with other line patterns printed on it. Put the latter over the former, move it around, watch the weird effects.

Moire patterns are related to aliasing: the gap between the lines on the overlay is your sample frequency, the lines on the underlying page is your signal frequency, with the angle of the two sheets modifying the relative frequency and the offset of the sheets changing the phase.

Re: The Hypnotic World of Degenerate Spirals

#25
post #20

I find it interesting that the visualizations seem to cycle polygon complexity, from circles to squares to triangles and back again.

I found this very interesting too, and it actually has a great explanation! Maybe I should have even explored this side a bit deeper in the post itself. Let's say the spiral has rotated 6000 degrees, and I'm approximating it with 100 points (one point every 60 degrees) and line segments. Well, a hexagon is nothing other than 6 points chosen 60 degrees apart from each other at the same distance from a central point, c…

These shapes in the spiral are explored and explained a bit in the classic Tesla spiral hoax too. https://www.conquermaths.com/news/post/index/395/The-Mystery...

Re: The Hypnotic World of Degenerate Spirals

#26

Reminds me of Junju Ito’s manga, Uzumaki, a masterful horror piece which involves a town becoming consumed with spirals, anyone else read/seen it?

Wow, I wasn't expecting to find a reference to a horror manga in the comments of my post about (what I believed to be) innocuous spirals! That's amazing, although I'm too squeamish to try and read it!

Re: The Hypnotic World of Degenerate Spirals

#27

Reminds me of Junju Ito’s manga, Uzumaki, a masterful horror piece which involves a town becoming consumed with spirals, anyone else read/seen it?

He makes interesting horror stories. I don't usually like horror but I have read some of his work. Another one, by him, that has stuck with me is a bonus story of Gyo called The Enigma of Amigara Fault.

Re: The Hypnotic World of Degenerate Spirals

#28

Reminds me of Junju Ito’s manga, Uzumaki, a masterful horror piece which involves a town becoming consumed with spirals, anyone else read/seen it?

I've seen the film. Interesting atmosphere, digital effects are somewhat dated (think 90ies video), practical effect are fine. I am not a manga reader, so it may have flown over my head.

https://en.wikipedia.org/wiki/Uzumaki_(film)

Re: The Hypnotic World of Degenerate Spirals

#29

Reminds me of Junju Ito’s manga, Uzumaki, a masterful horror piece which involves a town becoming consumed with spirals, anyone else read/seen it?

Cannot see spirals without thinking about Uzumaki. And by considering all his work, saying Junji Ito is a master of horror isn't an overstatement.
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