A vortex is a spinning or whirling mass of fluid: liquid or gas. Typical examples are a whirlpool or whirlwind or hurricane. These are extended shapes and do not have a single set of coordinates.
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reflection
If a point is at coordinates (x , y), then move it to (-x, -y).
Because they represent a pair of coordinates
equinoctial system of coordinates
A pyramid. But the point where the triangular faces meet is a vertex, not a vortex. A vortex is a spinning mass of fluid like a whirlpool!