Symmetry

We are familiar with three forms of symmetry, exhibited approximately in many natural and manufactured situations. They are

translation horizontally or vertically reflection horizontally or vertically rotation

These are familiar from nature and manufacture. Think of a brick wall, the two sides (left and right, not inside and outside) of a body, and a snowflake.

Less familiar is symmetry under magnification: zooming in on an object leaves the shape unaltered.

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