Artificial intelligent assistant

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?

Mathworld calls this the sine surface.

!sine surface

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