Higher Dimensional Geometry Visualizer

Loading Higher Dimensional Geometry Visualizer

\n Initializing mathematical libraries...\n

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\n FPS: 60 | \n Vertices: 0\n

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\n 🔮 Shape Selection\n

\n Dimension\n \n

\n Shape Type\n

\n \n \n \n \n

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\n 🔄 Transformations\n

\n Scale\n

\n \n 1.0\n

\n 4D Rotations\n

\n XY Plane\n

\n \n 0°\n

\n XZ Plane\n

\n \n 0°\n

\n XW Plane\n

\n \n 0°\n

\n YZ Plane\n

\n \n 0°\n

\n YW Plane\n

\n \n 0°\n

\n ZW Plane\n

\n \n 0°\n

\n \n

\n\n

\n 📐 Projection & View\n

\n Projection Distance\n

\n \n 2.0\n

\n Camera FOV\n

\n \n 75°\n

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\n ✂️ Cross Section\n

\n \n Enable Cross Section\n

\n Section Position\n

\n \n 0.0\n

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\n 🎨 Rendering\n

\n \n Show Vertices\n

\n \n Show Edges\n

\n \n Show Faces\n

\n \n Wireframe Mode\n

\n Opacity\n

\n \n 0.8\n

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Shape Information

\n Tesseract (4D Cube)
\n Vertices: 16
\n Edges: 32
\n Faces: 24
\n Cells: 8

\n The tesseract is the 4-dimensional analog of a cube. Each vertex connects to 4 edges, and the shape can be visualized as two 3D cubes connected through the 4th dimension.\n

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Welcome to Higher Dimensional Geometry!

\n 🖱️ Mouse Controls:
\n • Drag to rotate the camera around the shape
\n • Scroll wheel to zoom in/out

\n \n ⌨️ Keyboard Shortcuts:
\n • Space: Toggle auto-rotation
\n • Ctrl+R: Reset all transformations
\n • 1-4: Quick select shapes
\n • V: Toggle vertices visibility
\n • E: Toggle edges visibility
\n • F: Toggle faces visibility
\n • W: Toggle wireframe mode
\n • H: Show/hide this help

\n\n 🎯 Features:
\n • Explore 4D and 5D geometric shapes
\n • Real-time transformations and rotations
\n • Cross-section analysis tools
\n • Multiple projection methods
\n • Educational mathematical insights\n

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