Let X =  R x R  x R = R3 and define the metric d: R 3 x R 3 to R  by d((x1, y1, z1), (x2, y2, z2)) = |x1 - x2| + |y1 - y2| + |z1 - z2| Describe the neighborhood N(0, 1) where 0 is the origin in R3.

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