name this Romanesque surface
I happened to notice that the surface $$ x = \sin(u-v), y = \sin(v), z = \sin(-u) $$ or equivalently (if I haven't blundered) $$ x^4 + y^4 + z^4 - 2 x^2 y^2 - 2 x^2 z^2 - 2 y^2 z^2 + 4 x^2 y^2 z^2 = 0 $$ resembles the octahemioctahedron in the same way Steiner's Roman surface resembles the tetrahemihexahedron.
Has it a name?