Strangely Attractive vs Surface Explorer

Strangely Attractive turns the equations of chaos into something you can watch. Six classic strange attractors — Lorenz, Rössler, Aizawa, Thomas, Halvorsen, and Chen — each drawn live as a single glowing trajectory that never quite repeats. A handful of simple rules, tracing an endlessly intricate shape. • See it in 3D. Orbit the attractor in a real phase space, or flip to a clean 2D canvas. • Read the math. The exact differential equations behind each system, set beautifully on screen. • Learn by doing. Guided lessons walk through sensitive dependence — the butterfly effect — the Lyapunov exponent, and how Euler and RK4 integration drift apart. • Tune it. Adjust each system's parameters and watch the shape transform. • Home Screen widgets. Pin a favorite attractor where you'll see it. No account, no tracking, no network. Just the strange beauty of deterministic chaos. Made by Luke Steuber.

Surface Explorer is a high-performance visualizer for intricate mathematical surfaces — 2D manifolds embedded in three- or four-dimensional space, and 3D slices of four-dimensional hypersurfaces — bringing abstract geometry to life with real-time GPU rendering. KEY FEATURES • Cross Section — slice four-dimensional hypersurfaces and watch their 3D sections change shape as you rotate them in 4D or slide the cutting plane along the fourth axis, even along a 4D camera path. • Ray Marching Engine — real-time rendering of implicit surfaces and signed-distance fields, with procedural displacement, transparency, adjustable shells, and a precise mode for high-degree equations. • Multi-Mesh Surfaces — build figures from several independent grids, each with its own color, transparency, texture and domain. • 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), projection, and 3D and 4D camera paths. • 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. • Backgrounds — images and procedural effects, fixed on screen or wrapped around the scene as a sphere, cylinder or cube. • 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, curved-space tori and slices of the 3-torus, together with a searchable built-in manual. Built with Qt and Metal for smooth, native performance on iPhone and iPad.