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This is a sphere of radius 2 centered at $(2, 0, 0)$ in cylindrical coordinates, which corresponds to a **sphere tangent to the y-z plane** in Cartesian coordinates.
oxed{(x - 2)^2 + y^2 + z^2 = 4}
Question: A regular tetrahedron has three of its vertices at $A = (1, 1, 1)$, $B = (1, -1, -1)$, and $C = (-1, 1, -1)$. Find the integer coordinates of the fourth vertex $D$, assuming all coordinates are integers.

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