GT Fractals vs Surface Explorer

DISCOVER THE INFINITE BEAUTY OF FRACTALS Explore the mesmerizing world of fractal mathematics with an elegant app designed for discovery. Whether you're a mathematician, artist, student, or simply curious, this app brings the infinite complexity of fractals to your fingertips. STUNNING VISUALIZATIONS Explore the iconic Mandelbrot set in vivid detail. Discover the intricate Julia set and its connection to Mandelbrot. Choose between vibrant color schemes or elegant monochrome with high-quality rendering. INFINITE EXPLORATION Pinch to zoom infinitely into the fractal boundary. Pan and explore any region with intuitive gestures. Every zoom reveals new patterns and structures with real-time visual feedback. POWERFUL CUSTOMIZATION Adjust iteration count for different levels of detail. Fine-tune rendering quality between Fast, Normal, and High. Customize the visible area with precise numeric bounds and switch between fractal types seamlessly. SAVE AND SHARE Save your favorite fractal discoveries to a personal gallery. Each saved fractal includes all parameters for recreation. Browse thumbnails of your collection and share stunning fractal images instantly. LEARN AS YOU EXPLORE Built-in educational content about fractal mathematics. Understand the connection between Mandelbrot and Julia sets. Learn about the iterative formula and discover why fractals exhibit self-similarity. FEATURES - Mandelbrot set visualization - Infinite zoom with smooth gestures - Customizable rendering parameters - Personal gallery with saved fractals - Educational content included - Share beautiful fractal art - Professional minimalist design - Optimized performance - No ads or subscriptions Perfect for mathematics students, educators, digital artists, designers, science enthusiasts, and anyone curious about the infinite beauty of fractals.

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, set with a single field or a script, each with its own color, transparency, texture, image and domain. • Solid Curve — write a curve in 3D or 4D and see the tube drawn around it, with adjustable thickness; several tubes from a script. • Surface Borders — add a tube along the edges of a parametric surface, with its own color, texture and thickness. • 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.