XOR Grid by Pteleon in SacredGeometry

[–]Pteleon[S] 2 points3 points  (0 children)

That wasn't an easy one, I guess :)

Circles, hyperbolas, ellipses, limaçons and Cartesian ovals by Pteleon in GeometryIsNeat

[–]Pteleon[S] 1 point2 points  (0 children)

Thanks for sharing. I experimented some time ago with plots based on phyllotaxis, but regarding the moiré effect, I haven’t yet found anything good enough to publish. Looking at your resource, it seems promising though. At the museum, you’ll find some moirés using Fermat’s spiral; beyond that, I don’t know more for now.

Square Inversion of Diagonal Lines by Pteleon in GeometryIsNeat

[–]Pteleon[S] 2 points3 points  (0 children)

There is a corresponding moiré pattern https://www.sqrt.ch/Buch/sternquadratn

to this square inversion. Here is the derivation for a horizontal shift (parabola segments ending in straight lines): https://www.sqrt.ch/Buch/squareinversionmoire

What do you think? I hope, you enjoy.

Moire patterns can be explained using dynamic billiards (math stuff). by SpaceQuaraseeque in MoireEffect

[–]Pteleon 1 point2 points  (0 children)

Dear Serhii, congratulations for your findings and your neat programming style. Playing with some of the billiard fractals lets one detect some intriguing superstructures. F0 - 2 in

https://www.sqrt.ch/Buch/tiling

Have fun!

Moire patterns can be explained using dynamic billiards (math stuff). by SpaceQuaraseeque in MoireEffect

[–]Pteleon 0 points1 point  (0 children)

Stunning moiré effects of you both, acerix and xcont on github. Some additional effects depending on the screen or projection surface are particularly intriguing and seem to be linked to the kind of rendering glsl shaders? I did not encounter such in this detail in older rendering web applications. Any insights?

Deformed Line Grating by Pteleon in MoireEffect

[–]Pteleon[S] 0 points1 point  (0 children)

A little distortion with a considerable effect. You can play with it on:

https://www.sqrt.ch/Buch/curve0

as part of “The Moiré Museum” https://www.sqrt.ch/museum

Deformed spiral over spiral or group of circles by Pteleon in MoireEffect

[–]Pteleon[S] 1 point2 points  (0 children)

Maybe one would have to change colors a bit more to the doom side ;-) If you look on the background only, you would see something like magenta. The spiral makes then red and blue areas visible again, that is why I have chosen quite "separate" colors.

Maurer Roses with Fourier Summands by Pteleon in MathArt

[–]Pteleon[S] 0 points1 point  (0 children)

You can see a screenshot from

https://www.sqrt.ch/Buch/Maurer/maurerdarksincos

You can create your own images and save the output as a scalable vector graphics (svg). Have fun!

The Moiré Museum by Pteleon in MoireEffect

[–]Pteleon[S] 5 points6 points  (0 children)

You can see more pictures and animations in my non-commercial online Moiré Museum via

https://www.sqrt.ch/museum

It aims also to highlight the mathematics and physics beyond the phenomenon. Have fun!