#3 Fantastic Moiré Patterns from Real-Time Equation Zoom

2022-02-09. This shows the high resolution graphing ability of my Graph-All application, but also the limitations when calculations are confined to the pixel grid. Allowing this equation to continue through time, as t ever-increases, it bunches up in density, and starts to skip over solution points. Due to the mathematical nature of both the equation and the pixel grid, we start to see moiré patterns.

Equation:
a cos(ax) - a sin(ay) = xy

Source:
Hi Shibacchi's channel:
Grapesでいろんな二次グラフを描いてみた4

Showcases:
- improved unit numbering during zoom (though they are hard to read among the full-screen moiré patterns)
- cool moiré patterns, of course! (The challenge will be to add options to improve the resolution and reduce these patterns; but any graph can be made to have infinite precision!)

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[Xonatron]

There’s definitely some pixel art shading pattern ideas in there.