Math Art
Schoen F-RD (Wohlgemuth variant)

Schoen F-RD (Wohlgemuth variant)

Schoen F-RD (Wohlgemuth variant) is a triply periodic minimal surface, defined as a nodal algebraic surface, immersed, with Fm-3m symmetry (a crystallographic space group).

Open Schoen F-RD (Wohlgemuth variant) in the interactive viewer →

def-nodal has-approximation immersed implemented minimal minimal-periodic tradition-crystallographic triply-periodic

Formula

8⁢cos⁡(x)⁢cos⁡(y)⁢cos⁡(z)+cos⁡(2⁢x)⁢cos⁡(2⁢y)⁢cos⁡(2⁢z)−(cos⁡(2⁢x)⁢cos⁡(2⁢y)+cos⁡(2⁢y)⁢cos⁡(2⁢z)+cos⁡(2⁢z)⁢cos⁡(2⁢x))=08 \cos\left(x\right) \cos\left(y\right) \cos\left(z\right) + \cos\left(2 x\right) \cos\left(2 y\right) \cos\left(2 z\right) - \left(\cos\left(2 x\right) \cos\left(2 y\right) + \cos\left(2 y\right) \cos\left(2 z\right) + \cos\left(2 z\right) \cos\left(2 x\right)\right) = 0

Properties

Family
minimal-periodic
Given by
a nodal algebraic surface
Curvature
zero mean curvature
Periodicity
triply periodic
Ends
0
Embedding
immersed
Orientable
yes
Symmetry
Fm-3m
Symmetry kind
crystallographic space group
Fidelity
approximation

Definition

Standard nodal approximation as shipped in math_art/minsurf/tpms.py. No exact definition is stored for this surface, so this approximation is all the record has; `approximates` is null rather than pointing at itself.

Sources

Derived from the Math Art generator registries and cross-referenced to the literature; not transcribed from any gallery's compilation.