Variations Combinator builds upon the work of generateme¹, who explored various 2D transformations, their combinations, and their visualizations². These functions/transformations are termed ‘variations’, which inspired the project’s name – Variations Combinator (though I think the name might sound a bit odd!).

My project takes a significant leap forward by utilizing the GPU for rendering visuals, as opposed to the CPU. This shift enables a range of real-time interactions. Additionally, I have developed an algorithm that introduces a mode with 3D structures instead of 2D.

When presented as an artistic installation, interactions are facilitated through a gamepad. The installation has been exhibited at five events as of April 2024, making its debut in August 2023.

It was developed using openFrameworks and compute shaders.

• Github repository. It contains the code to try it yourself. The algorithm is explained there, with some attribution details.

Demo video: (remarks: might be too long, 3D stuff starts at around 3:05)

3D mode: (note: there is possible 3D rotation when using the program)

• Gallery of 2D outputs from the program on math-art-variations.tumblr.com

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