Math Art
Deco-Cube

Deco-Cube

Deco-Cube is an algebraic surface, defined by an implicit equation, immersed.

Open Deco-Cube in the interactive viewer →

algebraic aperiodic def-implicit immersed implemented tradition-gallery

Formula

((x2+y2−0.6400000000000001)2+(z2−1)2)⁢((y2+z2−0.6400000000000001)2+(x2−1)2)⁢((z2+x2−0.6400000000000001)2+(y2−1)2)−0.02=0\left(\left(x^{2} + y^{2} - 0.6400000000000001\right)^{2} + \left(z^{2} - 1\right)^{2}\right) \left(\left(y^{2} + z^{2} - 0.6400000000000001\right)^{2} + \left(x^{2} - 1\right)^{2}\right) \left(\left(z^{2} + x^{2} - 0.6400000000000001\right)^{2} + \left(y^{2} - 1\right)^{2}\right) - 0.02 = 0

Properties

Family
algebraic
Given by
an implicit equation
Curvature
no condition imposed
Periodicity
not periodic
Ends
0
Embedding
immersed
Fidelity
exact
Exactness
elementary

Sources

Closed form reproduced numerically against the shipped implementation (math_art/surfaces/algebraic.py) over 240 sample points: matches oracle x 1 over 240 points (worst 0).