Nordstrand's Weird Surface

An attractive Cubic Surface defined by Nordstrand. It is given by the implicit equation

$25[x^3 (y+z)+y^3 (x+z)+z^3 (x+y)]+50(x^2 y^2+x^2 z^2+ y^2 z^2)$
$-125(x^2 y z+y^2 x z+z^2 x y)+60 x y z-4(x y+x z+y z)=0.$

References

Nordstrand, T. ``Weird Cube.'' http://www.uib.no/people/nfytn/weirdtxt.htm.