Method and apparatus for synthesizing patterns

摘要

A method of synthesizing and/or analysing patterns with a computer comprises: programming a computer as part of a computer application for computer graphics, computer aided design, computer aided manufacturing, waveform generation, stereolithography, or rapid prototyping with a single formula that represents at least circles, triangles, squares and pentagons based on selected parameters within the formula, said formula being based on the polar coordinate equation for a circle or ellipse with rotational symmetries (m phi ) introduced and with differentiation in generalized exponents (n) introduced; using the computer to synthesize and/or analyse a pattern based on said programming by selecting and/or determining values for parameters (m and n); and generating a physical output representative of said synthesized and/or analysed pattern.