Metamorphic tiling patterns based on zonohedra

Details Metamorphic tiling patterns based on zonohedra Metamorphic tiling patterns based on zonohedra

1990-08-28

1993-05-18

Raduazo, Henry E.

Amusement devices: games

Puzzles

Take-aparts and put-togethers

523112, B44F 700

Patent

active

052116921

ABSTRACT:
This application discloses a tiling system for surfaces where the pattern of the tiling changes continuously from one portion of the tiling to another in an Escher-like metamorphoses with the difference the the metamorphoses are based on binary combinations of n transformations on the edges of the tile. Accordingly, the tiling is obtained from the n directions of the edges of an underlying zonohedron, a polyhedron derived as a projection of an n-dimensional cube. The zonohedron provides a hidden network for the continuous transformations of the tiles to one another. The derived designs utilize 3- and 4-sided polygons and have a variety of curved edges in and across the plane of the tile. The metamorphic designs provide visually attractive alternatives to periodic patterns used as architectural surfaces, walls, floors, ceilings, window screens and dividers, architectural space enclosures, visual art, textile designs and computer graphics amongst other varied applications.

REFERENCES:
J. L. Locher, The World of M. C. Escher, (Abrams, 1971), pp. 111-112, 116.
Douglas R. Hofstadter, Scientific American (Jul. 1983), pp. 14-20.

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