Point reflections make points {image, point}.
Rotations around symmetry center can result in coincidence. Rotations can be fractions of 360 degrees: 180, 120, 90, 72, 60, 45, 30, and 15 degrees. 360 divided by rotation degrees makes whole number {order of symmetry}: 2, 3, 4, 5, 6, 8, 12, and 24.
For symmetry through line or axis {axial symmetry}|, (x,y) goes to (x,-y) or (-x,y).
For symmetry through point or origin {radial symmetry}| {central symmetry} {point symmetry}, (x,y) goes to (x,-y), (-x,y), and (-x,-y).
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Date Modified: 2022.0225