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    Gyroid

    Illustration

    Illustration

    Definition

    The gyroid, illustrated above, is an infinitely connected periodic minimal surface containing no straight lines that was discovered by Schoen. Große-Brauckmann and Wohlgemuth proved that the gyroid is embedded. The gyroid is the only known embedded triply periodic minimal surface with triple junctions. In addition, unlike the five triply periodic minimal surfaces studied by Anderson et al. (1990), the gyroid does not have any reflectional symmetries (Große-Brauckmann 1997). The image above shows a metal print of the gyroid created by digital sculptor Bathsheba Grossman (http://www.bathsheba.com/).

    Related term

    minimal surface

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