Graph-All: 2D Calculator #3 - Moiré Patterns
2022-02-09. This shows the high resolution graphing ability, 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.
This video showcases:
- equation: a cos(ax) - a sin(ay) = xy
- taken from Hi Shibacchi's channel:
-- Grapesでいろんな二次グラフを描いてみた4
-- https://youtube.com/watch?v=0mdD8eyQ5uU&t=2m45s
- 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!
Playlists:
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- Voxel Software 3D: https://youtube.com/watch?v=uadGU-stF-w&list=PLjnbT4UISq0bQF1g85tE9jTrKfEtdRYlY
- Ray Casting 3D: https://youtube.com/watch?v=SkaPYZOKPQg&list=PLjnbT4UISq0YcFtRFjFQqK0g6ONNCtrvY
- Graph-All Calculator 2D: https://youtube.com/watch?v=kLSc7bZW2Bs&list=PLjnbT4UISq0YLgynFSpLzml4BMC6TDZL2
- Parallax Side-Scroll Shooter 2D: https://youtube.com/watch?v=l9bIYkZepPo&list=PLjnbT4UISq0Y_7IAN_zUzxgZnfhXxo_0Q
- Road Pseudo 3D: https://youtube.com/watch?v=rA4g4VX7ys8&list=PLjnbT4UISq0bnfd1RC3M4PgTgkmhlkikV
- Arena Shooter 2D: https://youtube.com/watch?v=VKjiuq437t0&list=PLjnbT4UISq0adw__Y9B2eXA0LL35TyORU
Websites:
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- GitHub: https://github.com/JDoucette
- Indie Game Studio: http://xona.com
- Blog: http://thefirstpixel.com