ARML Power Round - 2

Geometry Level 3

Let the taxicab distance between two points be defined by:

\[D_t = |x_2-x_1|+|y_2-y_1|\]

Let a taxicab circle be the set of all point that are equidistant (in taxicab distance) from a fixed point, referred to as the center of the taxicab circle.

A taxicab circle is what geometric shape?

This problem is not original, it comes from the ARML 2016 Power Round


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