Surface Explorer is a high-performance visualizer for intricate mathematical surfaces, 2D manifolds embedded in three- or four-dimensional space, bringing abstract geometry to life with real-time GPU
Surface Explorer is a high-performance visualizer for intricate mathematical surfaces, 2D manifolds embedded in three- or four-dimensional space, bringing abstract geometry to life with real-time GPU rendering.
KEY FEATURES
• Ray Marching Engine — real-time rendering of implicit surfaces and signed-distance fields, with procedural displacement, transparency, and multi-layer field surfaces.
• Geodesic Flow — explore intrinsic geometry on curved manifolds (S³, H²×R, SL(2,R) and more), integrating geodesics from initial conditions.
• 4D Spatial Exploration — dedicated controls for hyperspatial rotation (Omega, Phi, Psi) and projection.
• 4D Lighting Models — Directional, Observer, and Slice lighting designed for hyperspace.
• Dynamic GLSL Scripting — write custom shaders for procedural textures and surface logic in the built-in editor.
• Audio-Visual Synthesis — synchronize geometric parameters with a mathematical sound synthesizer.
• Video Recording — capture your explorations directly in the app and save them to your device.
A library of ready-made presets ships with the app, from classic parametric surfaces to black-hole ergospheres and curved-space tori.
Built with Qt and Metal for smooth, native performance on iPhone and iPad.