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Yes.

All you need is three mutually perpendicular axes (instead of two). To visualise this, look at the corner of a room. There will be three lines coming together at the corner: floor and one wall, floor and another wall, and the two walls. These three lines would act as your axes to describe the 3-d space of the room. The axes are usually labelled x, y and z.

Mathematicians (and physicists) have no problem in dealing with coordinate systems in 4 or more dimensions.

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