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Tag: metatronic solid

  • reversed metatronic solid (hexahedron)

    reversed metatronic solid (hexahedron)

    The metatronic knot on a solid surface has to be “knocked out,” but is there a way to show the inverse? The not-knot? With an opaque material, not really, but with a translucent medium, not only could you show the knot counter-spaces, but you could view the inside and outside simultaneously.

    This piece is best viewed with abundant sharp light such as sunlight.

    Sculpture usually has to make a compromise because in anything but zero gravity, it has to rest on something. This means you don’t get to see what’s on the bottom. An artist isn’t likely to put something interesting in a place no one can see. In this case, I wanted to make sure a viewer saw how the knot pattern worked out on all six sides, leaving nothing to doubt.

    Something of added interest: the pattern used in metatronic knots works regardless of rotation; any of the faces can be rotated and the knot pattern still works fine.

  • metatronic solid faces

    metatronic solid faces

    Although the main challenge of creating the metatronic solids was applying knot patterns to regular polyhedra, each face was interesting itself.

    The first iteration of the faces was the hexahedron. I thought would be fun to use the face of a hexahedron, a square, to create a cube, but by stacking copies of the face instead of rotating them along their edges.

    For the next version I focused on just one face, a triangle from a tetrahedron. I used gold leaf poles to elevate the shape off of the background.

    The radial lines in the knot design were emphasized by darker wood in the background.

    The dodecahedron face, a pentagon has many more radial lines. They were inlaid with a contrasting wood.

    this angle is probably hard to see in real life. it shows the anodized aluminum poles which support the face.

    There’s one more of the square / hexahedron. This one was a little more involved, so there’s a separate post devoted to it.

  • metatronic solid (tetrahedron)

    metatronic solid (tetrahedron)

    Three lines make a reversed knot pattern covering all faces of a tetrahedron, regardless of rotation (this same pattern can tile a plane).

    The first in a series of polyhedra shells based on this concept, taking its name from Metatron, a figure associated with the geometry of regular polyhedra.

    the face of the metatronic tetrahedron, representing the show
    many attempts using varying techniques
    successful maquette
    the satisfaction of a well-made tetrahedron
    preparing the final materials