Interactive HTML collection
#02: The Tetrahedral Ascension
"To see the infinite, one must step out of the plane."
The Chaos Axiom continues its exploration of mathematical inevitability, now breaking the bonds of two dimensions.
While #01: The Sierpinski Genesis demonstrated how order rises from noise on a flat surface, The Tetrahedral Ascension applies these rules to spatial volume. Using four vertices instead of three, the algorithm constructs a Sierpinski Tetrahedron—a ghost structure comprised of smaller and smaller pyramids, infinitely nested.
The screen begins empty. A 3D die is cast. A point moves halfway through the void. As the simulation accelerates, what looks like a cloud of stardust sharpens into a rigid, crystalline geometric anomaly.
Interactive 3D Features:
Spatial Manipulation: The code features a hand-written 3D projection engine. Click and drag to rotate the camera around the artifact; scroll to zoom into the fractal depths.
Variable Entropy: Use the slider to shift from a slow, meditative drip of pixels to a torrential rendering speed.
Modulo-4 Logic: A custom algorithm maps the 6 faces of the die to the 4 vertices of the tetrahedron, proving that even asymmetric probability yields symmetric beauty.
Mathematical Property: Just as the 2D version had zero area, this structure possesses zero volume while maintaining an infinite surface area. It is a ghost in the machine.
- FormatHTML / Interactive
- GenreGenerative Art
- ThemeFractals