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Summary
DescriptionFigure-Eight Knot diagram.png
English: The figure-eight knot is achiral, but it does not have a reflection as symmetry. It does have an order-4 roto-reflection as symmetry: reflect the diagram by flipping all over-under crossings and rotating it by 90 degrees.
Constructed as four semicircles of radius 1 centered on the vertices of the square with diagonal (-1, -1) to (1, 1) and four quarter circles of radius 1 + √2 centered on the vertices of the square with diagonal (-2, 0) to (2, 0).
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Captions
Non-minimal diagram of figure-eight knot showing the order-4 roto-reflection symmetry (reflect in the plane)