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| title: Mathematical Art Generator | |
| emoji: 🎨 | |
| colorFrom: blue | |
| colorTo: purple | |
| sdk: gradio | |
| sdk_version: 5.42.0 | |
| app_file: app.py | |
| pinned: false | |
| license: mit | |
| # Mathematical Art Generator 🎨 | |
| Generate stunning mathematical art using various equations and mathematical functions! | |
| ## Features | |
| - **Function-based Art**: Create landscapes, wave patterns, spirals, and abstract compositions | |
| - **Polar Coordinate Art**: Generate roses, spirals, cardioids, and lemniscates | |
| - **Customizable Parameters**: Control complexity, scale, frequency, and color schemes | |
| - **Real-time Generation**: Interactive parameter adjustment with instant preview | |
| - **High-Quality Output**: Export-ready images with customizable resolution | |
| ## Art Types | |
| ### Function Art | |
| - **Landscape**: Mountain ranges using sine/cosine combinations | |
| - **Wave Interference**: Beautiful interference patterns | |
| - **Spiral Patterns**: Logarithmic and mathematical spirals | |
| - **Fractal Noise**: Multi-octave procedural patterns | |
| - **Abstract Compositions**: Complex mathematical combinations | |
| ### Polar Art | |
| - **Rose Curves**: r = a·sin(nθ) | |
| - **Spirals**: Various spiral equations | |
| - **Cardioid**: Heart-shaped curves | |
| - **Lemniscate**: Figure-eight patterns | |
| ## Usage | |
| 1. Choose your art type from the tabs | |
| 2. Adjust parameters to customize the output | |
| 3. Click "Generate Art" to create your mathematical masterpiece | |
| 4. Experiment with different settings for unique results! | |
| ## Mathematical Background | |
| This generator uses various mathematical concepts: | |
| - Trigonometric functions (sin, cos, tan) | |
| - Polar coordinates (r, θ) | |
| - Parametric equations | |
| - Fractal mathematics | |
| - Wave interference patterns | |
| Perfect for artists, mathematicians, educators, and anyone interested in the beauty of mathematical visualization! |