Triple inversion geometric transformations
OwnerAndreas Hoenigschmidinventor
Life of this patent
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Abstract
Triple inversion geometric transformations are useful as puzzles, toys, teaching aids, therapy devices, and the like. The transformations include a plurality of hingedly connected polyhedrons, each of the polyhedrons having at least one of a first surface, a second surface, or a third surface. The transformations are configurable between three congruent inverted configurations.
Claims20
A geometric transformation, comprising:
- a transformation comprising a plurality of polyhedrons, wherein the plurality of polyhedrons consists of twelve polyhedrons hingedly connected in a loop and each of the polyhedrons comprises three different edge lengths,
- wherein the transformation is configurable between a first inverted configuration, a second inverted configuration, and a third inverted configuration, wherein the first inverted configuration, the second inverted configuration, and the third inverted configuration are congruent parallelepipeds.
A geometric transformation, comprising:
- a transformation comprising twelve polyhedrons sequentially and hingedly connected in a loop,
- wherein the transformation is configurable between a first parallelepiped, a second parallelepiped, and a third parallelepiped, wherein the first parallelepiped, the second parallelepiped, and the third parallelepiped are congruent, wherein outermost surfaces of the first parallelepiped consist of first surfaces, outermost surfaces of the second parallelepiped consist of second surfaces, outermost surfaces of the third parallelepiped consist of third surfaces, and the first surfaces, second surfaces, and third surfaces are mutually exclusive,
- wherein each of the polyhedrons comprises three different edge lengths and two incongruent faces.
A geometric transformation, comprising twelve polyhedrons sequentially and hingedly connected in a loop, wherein each of the polyhedrons comprises one edge with an edge length of √(3) units, one edge with an edge length of √(2) units, and one edge with an edge length of one unit, wherein each of the hingedly connected polyhedrons comprises a magnet disposed adjacent to a face, wherein the magnets of adjacent polyhedrons have opposite polarities, wherein the transformation is configured to be magnetically stabilized in a first parallelepiped, a second parallelepiped, and a third parallelepiped, wherein the first parallelepiped, the second parallelepiped, and the third parallelepiped are congruent.
Dependencies are inferred from the claim text.