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[GiF] ℘' (Conformal transformation of hexagonal grid)

Conformal transformation of hexagonal grid

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POSTED BY: Clayton Shonkwiler
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POSTED BY: Vitaliy Kaurov

I just made a video where one dot is red and we track it through the whole cycle. The video ends up being 16 minutes long and about 460 MB, which seems a bit excessive. I'll think more about how to make this into something more accessible.
POSTED BY: Clayton Shonkwiler

I would love to see that video :-) Any chance you can upload it it somewhere and send me link? - Temporarily if must be just until I download it.

POSTED BY: Vitaliy Kaurov

Here's an attempt:

Conformal transformation of hexagonal grid -- with colors!
POSTED BY: Clayton Shonkwiler

Wow, exactly what I had in mind, thank you, Clayton. How many steps along the cycle does this make or is it some other logic here?
POSTED BY: Vitaliy Kaurov

It's just 4 steps along the cycle.
POSTED BY: Clayton Shonkwiler

Wonderful!!

I'm doing something with mapping the usual rectangular grid, BUT showing all the overlapping by placing narrower lines on top of wider ones. And also putting little "right angle brackets" at every intersection to suggest that there might be a analog mechanical contraption to illustrate any complex mapping.

Will upload something soon.
POSTED BY: Christopher Young

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