Modulart Studio

🙏 Another year and another thank you for making this competition possible!

👀 Inspired by my maths teachers, online resources, and immense curiosity.

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To-do before running

• You may please set the destination as "My Mac (Designed for iPad)" and run the app on fullscreen for the best possible experience.

Things to consider

• Building this project, studying for my official exams, and maintaining a healthy lifestyle. Doing all that was not easy, but I pushed myself to do my best on all three!
• While coding, I revisited trigonometry and modularity formulas. Besides, I also discovered new mathematical fields and concepts.
• Most used images, excluding SFSymbols icons, have been generated by the project's image export feature.
• Using SwiftUI's ColorPicker view was producing bugs. Therefore I created a custom color picker for this project. By manipulating colors throughout the project, I learned a lot about tinting, shading, luminance, mixing, and contrast ratios to make the experience more accessible to visually impaired users.

Known issues

• FB9987563 - A weird saturation bug seems to occur randomly for macOS apps designed for iPad where colors (mainly reds) would get saturated then go back to normal. It may also be a problem with colorspace handling.
• FB9987609 - The animation of paths inside the GeometryReader does not correspond to the animation of its parent view when resized.
• FB9987617 - The window title on macOS does not accurately reflect the navigation bar's current title.

I submitted the feedback report for each of these issues, providing as much practicable information as possible.

Used assets

Audio

• Seth_Makes_Sounds, "chill.wav", licensed under CC0 1.0.

Images

• Cuddlyable3, "z ↦ z² + c", released into the public domain.
• Cuddlyable3, "z ↦ z³ + c", released into the public domain.

Inspiration & ressources

• Khan Academy, "What is modular arithmetic?".
• Mathologer, "Times Tables, Mandelbrot and the Heart of Mathematics".
• Nathaniel Wroblewski, "Modular multiplication".
• Wikipedia, "Modular arithmetic".
• Wikipedia, "Multibrot set".

More possible improvements

• Better accessibility and localization.
• Compose the background music!
• Custom presets.
• Export as a video with custom duration.
• Keyframes and playback options.
• More customization!
• Light mode and themes.
• Publish it on the App Store!