Menger Sponge

🧊 Menger Sponge

Iteration level: 3 Render mode

Solid

Wireframe

X-ray

Colour mode

Solid

Depth

Iter step

Auto-rotate

Stats

Level3

Cells (20ⁿ)8 000

Surface area—

Fractal dim.2.7268

The Menger sponge divides each cube into 27 sub-cubes and removes the 7 central ones, recursively. Its Hausdorff dimension is log 20 / log 3 ≈ 2.7268. Rendering uses GPU raymarching: a signed-distance function folds space into the fractal cross at each iteration.