🎨 用数学作画

Vertex Morphing CuboidNewExplore dynamic geometric transformations as you morph a cuboid into complex shapes by… Regularization Methods Lab — Watch Overfitting Get Reined InNewFit a high-degree polynomial to noisy data, then add L2 (ridge) regularization and watch the… Fourier Epicycles - Draw Any Shape with Rotating Circles and Fourier SeriesNewThis simulation demonstrates the connection between Fourier series and geometric shapes. It… Harmonograph Simulator: Damped Pendulum Drawing MachineNewThis simulation recreates the Harmonograph, a device that produces complex drawings using a… Origami Paper Folding: Auto-play FoldNewObserve and control the intricate steps of paper folding, adjusting parameters like crease… Fractal Tree Growth SimulationNewExplore the mesmerizing growth of a fractal tree, manipulating parameters to observe how… Procedural Fractal TreeNewThis simulation generates a realistic-looking fractal tree using procedural algorithms. It… 3D Spirograph HypotrochoidNewThis simulation demonstrates the creation of a 3D spirograph hypotrochoid. It allows users… Penrose Tiling 3DNewThis simulation demonstrates the Penrose tiling pattern in three dimensions, illustrating… Harmonograph DrawingNewUsers can explore the creation of harmonographs – intricate drawings generated by a… Mandelbulb Fractal: Iteration ProcessNewExplore the mesmerizing Mandelbulb fractal by adjusting iterations and viewing its complex,… Kaleidoscope MandalaNewThis simulation generates intricate kaleidoscopic patterns resembling mandalas. It… Procedural Fractal Tree GenerationNewWitness the creation of a realistic fractal tree through procedural growth, adjusting… Geometric MandalaNewAn interactive 3D simulation exploring the creation of geometric mandalas. This demonstrates… 3D Fibonacci SpiralNewThis simulation visually represents the Fibonacci sequence and its manifestation in natural… Fibonacci Spiral Growth SimulationNewThis simulation visually represents the Fibonacci spiral, a mathematical sequence and… Three Dimensional HarmonographNewThis simulation explores the mathematical patterns generated by a Harmonograph, a device… 3D Kaleidoscope MandalaNewThis simulation generates an animated kaleidoscope pattern within a mandala structure. It… 3D Lissajous FiguresNewThis simulation generates a variety of Lissajous curves – parametric equations that produce… 3D Mandelbulb FractalNewThis simulation generates a mesmerizing 3D Mandelbulb fractal. Users can adjust parameters… 3D Modeling SimulatorNewThis simulator provides a hands-on experience in 3D modeling fundamentals, allowing users to… 3D Origami CraneNewThis simulation visually represents the process of folding an origami crane, demonstrating… 3D Standing Wave StringNewThis simulation illustrates the phenomenon of standing waves on a string fixed at both ends,… 3D Voronoi DiagramNewThis simulation generates and visualizes a 3D Voronoi diagram, demonstrating the… Holographic GlobeNewThis simulation demonstrates the visual representation of a holographic globe. It explores… Origami Folding Simulation: Geometric TransformationsNewExplore the intricate process of origami folding with adjustable angles and crease patterns,… Exploring Basic Origami GeometryNewThis simulation introduces fundamental origami concepts by allowing you to manipulate a… Spirograph GeneratorNewThis simulation demonstrates the mathematical principles behind spirograph drawings. Users… Torus Knot Morphing SimulationNewThis simulation demonstrates the morphing of a torus knot through continuous deformation,… Mandelbulb Fractal Zoom - Three.js SimulationNewThis simulation demonstrates the mesmerizing visual patterns of a Mandelbrot fractal. It… Apollonian Gasket — Fractal Circle Packing via Descartes' TheoremNewThis simulation demonstrates the concept of Apollonian gaskets and fractal geometry. Users… Jewelry Design SimulationNewThis simulation demonstrates the design process for jewelry. It explores concepts related to… Infinite Barnsley Fern Iterated SystemNewExplore the mesmerizing creation of an infinite, self-similar fern using the Chaos Game –… Bezier Curves SimulationNewThis simulation allows you to dynamically create and modify Bezier curves using control… Bezier De CasteljauNewThis simulation visually represents Bezier curves and their construction using de… Cellular TapestryNewAn interactive 2D simulation exploring the behavior of cellular automata on a grid, creating… Ecosystem Modeling Simulation HubNewThis hub provides a platform for building and analyzing ecosystem models. Users can simulate… Flower of Life — Sacred GeometryNewThis simulation demonstrates the Flower of Life pattern, a sacred geometric design found in… Mandelbrot Set Explorer - Interactive Fractal Zoom, Julia Sets and Complex NumbersNewThis simulation demonstrates the Mandelbrot set and related fractal geometry. Users can… Fractal Tree Growth Using Recursive PatternsNewThis simulation visually demonstrates how complex tree structures emerge from simple… Iterative Fractal Tree DevelopmentNewObserve how a complex tree structure develops step-by-step using iterative rules, showcasing… Julia Set Explorer: Interactive Fractal VisualizerNewThis simulation generates and displays the Mandelbrot set, a classic example of a fractal.… Lissajous Curves Parametric MotionNewExplore the creation of Lissajous curves by adjusting frequency, amplitude and phase shift… L-System Fractal Generator | Interactive Lindenmayer System SimulatorNewThis simulation allows users to generate fractals using L-systems, a formal grammar for… 3D MandalaNewThis simulation allows users to explore the intricate patterns and symmetries of a 3D… Mandelbrot Set Explorer — Interactive Fractal Zoom & Julia SetsNewThis simulation allows users to explore the Mandelbrot set and related Julia sets through… Mandelbulb-Inspired FractalNewThis simulation generates and displays a Mandelbulb-inspired fractal, showcasing the complex… Math Rose PatternsNewA 2D simulation demonstrating the creation of mathematical rose patterns using parametric… Mathematics Fractal SimulationNewThis simulation demonstrates the generation of fractals using mathematical algorithms. Users… Mathematics Fractals SimulationNewExplore fractal structures and their properties by adjusting parameters. Visualize complex… Origami Fold AnimationNewThis simulation showcases the process of origami folding, demonstrating geometric… Islamic Geometric PatternNewThis simulation showcases the creation of intricate Islamic geometric patterns using… Hyperbolic Tiling TunnelNewExplore the fascinating world of hyperbolic tilings through this interactive simulation,… Harmonograph Pendulum DrawingNewThis simulation demonstrates the creation of complex geometric patterns by a harmonograph… N66 Origami FoldingNewThis simulation visually represents the process of folding an origami shape. It illustrates… Flower of Life Sacred GeometryNewThis simulation demonstrates the Flower of Life pattern, a geometric design found in sacred… Sacred Geometry MandalaNewThis interactive simulation allows users to create and manipulate sacred geometry mandalas,… Origami Paper Folding: Fold SpeedNewAdjust the paper's size and weight to observe how folding speed changes due to friction and… Escher Impossible StaircaseNewThis simulation explores a visual illusion based on perspective and geometry. It… Sand Pendulum Harmonograph PatternsNewObserve intricate patterns emerge as a rotating pendulum interacts with sand, demonstrating… New 30 Beehive HoneycombNewThis simulation demonstrates the hexagonal structure of a beehive honeycomb and the… Mandelbulb FractalNewReal-time 3D Mandelbulb raymarched on the GPU with an honest distance estimator de =… Mandelbulb Fractal ZoomNewThis simulation allows users to zoom into the Mandelbulb fractal, revealing increasingly… Voronoi Foam BubblesNewThis simulation demonstrates the Voronoi diagram concept through the dynamic behavior of… Dynamic Origami Folding ExperimentationNewManipulate virtual paper to create a wide range of origami models by adjusting fold speed,… Sunflower Field — PhyllotaxisNewThis simulation demonstrates the mathematical principles behind phyllotaxis – the… Numerical Methods Explained — Errors, Stability, and ConvergenceNewThis simulation demonstrates the principles behind numerical methods used in scientific… Perlin Noise Exploration SimulationNewThis simulation allows you to generate and visualize Perlin noise, exploring how fractal… Quadtree VizNewThis is an interactive 2D simulation exploring quadtree visualization. Users learn about… Recaman's Number Sequence ExplorerNewExplore the fascinating properties of Recaman’s sequence – a unique number series where the… Maurer Rose Geometric Spiral SimulationNewThis simulation allows you to explore the creation of a traditional Mauruer Rose by… Mandelbulb Fractal: Fractal GeometryNewExplore the mesmerizing Mandelbulb Fractal, adjusting iteration counts and viewing angles to… Sierpinski Triangle Fractal GeneratorNewThis simulation allows you to generate and explore the mesmerizing Sierpinski triangle… Sine Curve PlotterNewThis simulation generates sine curves of varying frequencies and amplitudes. It provides a… Spirograph Geometric CurvesNewExplore the mesmerizing patterns created by a Spirograph, a device that generates intricate… 3D SpirographNewThis simulation recreates the classic spirograph drawing tool in three dimensions. Users can… String Art SculptureNewThis simulation explores the creation of geometric patterns using string and a frame. It… Dynamic Formula Visualization – Three DimensionsNewObserve the captivating evolution of complex mathematical formulas transforming into… Voronoi Diagram GeometryNewThis simulation visually represents the creation of a Voronoi diagram by strategically… Fractal Tree GrowthNewThis simulation demonstrates the concept of fractal geometry through a dynamic tree growth… Fractal TreeNewThis simulation demonstrates the concept of fractal geometry through a visually stunning… Origami FoldingNewThis simulation allows users to explore the art of origami by folding virtual paper. It… Origami Folding SimulationNewThis simulation allows users to explore the geometric principles behind origami folding,… Fractal Seed | Three.jsNewThe simulation visualizes fractal geometry through a seed structure, demonstrating how… Gem FacetingNewThis simulation allows users to explore the art of gem faceting. Players learn about angles… Tangent Field | Three.jsNewThis simulation uses Three.js to visualize tangent fields in 3D space. It allows users to… Tesseract Drift | Three.jsNewThis simulation utilizes Three.js to visualize a tesseract (4D cube) in 3D space, allowing… Chaos GameJump partway toward a random vertex each step — pick Sierpinski, Barnsley or Vicsek presets… Fibonacci SpiralAdjust the golden angle and point count to switch between spiral, sunflower and squares… Procedural Fractal Tree Growth SimulationExplore the mesmerizing growth of a fractal tree by adjusting parameters like branch angle,… Lissajous Curves InteractiveThis simulation allows you to explore Lissajous curves by adjusting parameters like…