File:Figure-Eight Knot diagram.png

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    Summary

    Description
    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.
    Date
    Source Own work
    Author Wstomv

    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)

    23 February 2026

    53,425 byte

    720 pixel

    720 pixel

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    2d4997e2dd599d2d8dc7c29ceb5fcd9c2e84304f

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    Date/TimeThumbnailDimensionsUserComment
    current13:25, 24 February 2026Thumbnail for version as of 13:25, 24 February 2026720 × 720 (52 KB)wikimediacommons>WstomvUploaded own work with UploadWizard

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