knot theories
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chatoyant tercet knot
the quintessential knot
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triple knot listing band
three braided knots as a listing band
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translucent listing band slice stack
stacked slices of an image
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collapsible scale listing band (deconstructed)
deconstructed listing band segment
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reversed metatronic solid (hexahedron)
how to create a piece of art that you can see from all angles?
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metatronic solid faces
isolated polyhedra faces
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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).
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tercet chain knot
copper knot inlaid in wood
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self-intersecting tercet knots with encompassment
Three triangular twists are abound together by an encompassing shape echoing the group’s perimeter. The way the paper is cut and overlapped gives the illusion that each of the four main components are made of single pieces of paper. You have to cheat a little to give the illusion of self-intersecting lines made out of a…
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encompassed unicursal tercet knot
A hexagonal ring bound to another triply-twisted ring is suspended vertically.
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projected isometric tercet knot
This is a double-lined, triple-component knot based on an isometric grid. The rules of knot making are slightly bent with the double line, but half the fun of making your own system is breaking its rules. It is “projected” is because its construction uses small wooden dowels to lift the individual pieces above the surface.…
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unicursal pentad knot
Follow the (implied) line with your eye. The line is unicursal, meaning there’s only one line. At first you might be tempted to assume there are five sections, and of course there are, but the radial symmetry is just a property of this particular line. These are probably the most difficult knots to design because…
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tercet knot progression with self-similar encompassment
knots entangled with smaller versions of themselves
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axonometric scale listing band
repeated, interlocking shapes forming a Listing band