Finally added 3d fractals
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2026-02-11 11:09:07 +01:00
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}
},
"FRACTAL3D": {
"TITLE": "3D Fractals",
"ALGORITHM": "Algorithms",
"MANDELBULB": "Mandelbulb",
"MANDELBOX": "Mandelbox",
"JULIA": "Julia",
"EXPLANATION": {
"TITLE": "3D Fractal Worlds",
"MANDELBULB_EXPLANATION": "is considered the 'Holy Grail' of 3D fractals. Since complex numbers are only two-dimensional, this fractal uses spherical coordinates and high powers (usually v^8 + c) to project the Mandelbrot set into 3D space. Benefit: Creates an organic, extremely detailed structure reminiscent of plants, coral reefs, or alien landscapes.",
"MANDELBOX_EXPLANATION": "is based not on smooth curves, but on geometric 'folding' and scaling (Box-Folding & Sphere-Folding). Space is repeatedly folded and mirrored like origami. Benefit: Produces strictly geometric, mechanical-looking structures that resemble endless futuristic cities, the Borg cube, or complex sci-fi architecture.",
"JULIA_EXPLANATION": "is the 3D counterpart to the 2D Julia set. While the Mandelbulb is a 'map' of all fractals, here we fix the parameter 'c' and vary the starting point and it changes over time. Benefit: Unlike the solid Mandelbulb, Julia Bulbs are often hollow, forming complex tunnel systems or bubble-like structures perfect for flying through with the camera.",
"DISCLAIMER": "This visualization uses a technique called 'Raymarching' (Sphere Tracing). This means:",
"DISCLAIMER_1": "No Polygons: There are no triangles or meshes. The shape is calculated mathematically for every pixel in real-time.",
"DISCLAIMER_2": "Distance Estimation: The algorithm 'marches' light rays forward by calculating the safe distance to the nearest object without hitting it immediately.",
"DISCLAIMER_3": "Infinite Detail: Since the surface is mathematically defined, it never pixelates when zooming in new structures always emerge.",
"DISCLAIMER_4": "Light & Shadow: To visualize depth, light reflections and shadows (Ambient Occlusion) are simulated based on the curvature of the formula."
}
},
"ALGORITHM": {
"TITLE": "Algorithms",
"PATHFINDING": {