Curved Space Shader in Three.js (via 4D sphere projection)
I made a GLSL shader that bends 3D space using a 4D hypersphere projection. The idea: 1. Project a model onto a 4D sphere 2. Rotate the sphere 3. Project the model back to 3D Code and details: https://github.com/bntre/CurvedSpaceShader Curious what you think.
Curved Space Shader in Three.js (via 4D sphere projection) launched on May 22, 2025 with 68 votes, #587 of 7,905 launches that month and more than 95% of that year's launches. The site was still online in September 2026, 1 year on.
In plain words
Curved Space Shader is a GLSL shader for Three.js that bends 3D space by projecting models onto a 4D hypersphere, rotating them in four-dimensional space, and projecting them back to 3D. It is designed for developers working with Three.js who want to create spatial distortion effects. The shader demonstrates advanced mathematical visualization techniques using 4D geometry transformations.
written from the facts on this page · September 2026
From the sources
Curved Space Shader in Three.js (via 4D sphere projection) - bntre/CurvedSpaceShader
This vertex shader was first written in HLSL for the Unity game Sfera: https://github.com/bntre/Sfera . Now it's rewritten in GLSL for three.js. To show curved space (see Spherical Geometry ), each 3D model goes through a special transformation using 4D rotation and projection. Animated models from three.js examples (the models are not included in this repo; they are loaded at runtime from the three.jsfrom github.com
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