A few groovy images

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All of these groovy pix use maps from the plane to itself, taking a periodic pattern into the plane in a distorted way. Don’t stare into the middle for too long…

Wrap a periodic pattern on a cylinder, centrally project onto a sphere, then stenographically project onto a plane perp to the original cylinder.
Invert a periodic pattern.
Apply complex sine.
As in the first image, but the pattern may be placed on the cylinder at any rational slope.
The same pattern as in the first image, but inverted
The same pattern as in the first image, but inverted. Don’t stare at the middle too long!
The first pattern in physical form, quickly cut from foam.
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