Lidinoid

In differential geometry, the lidinoid is a triply periodic minimal surface. The name comes from its Swedish discoverer Sven Lidin (who called it the HG surface).^[1]

Lidinoid in a unit cell.

It has many similarities to the gyroid, and just as the gyroid is the unique embedded member of the associate family of the Schwarz P surface the lidinoid is the unique embedded member of the associate family of a Schwarz H surface.^[2] It belongs to space group 230(Ia3d).

The Lidinoid can be approximated as a level set:^[3]

${\displaystyle {\begin{aligned}(1/2)[&\sin(2x)\cos(y)\sin(z)\\+&\sin(2y)\cos(z)\sin(x)\\+&\sin(2z)\cos(x)\sin(y)]\\-&(1/2)[\cos(2x)\cos(2y)\\+&\cos(2y)\cos(2z)\\+&\cos(2z)\cos(2x)]+0.15=0\end{aligned}}}$