Even color triangle

Avery Zoch

doi:10.1117/12.464670

6 June 2002 Even color triangle

Avery Zoch

Proceedings Volume 4421, 9th Congress of the International Colour Association; (2002) https://doi.org/10.1117/12.464670
Event: 9th Congress of the International Color Association, 2001, Rochester, NY, United States

Abstract

We construct a class of infinite planer simple graphs that are continua and have the fractal property where the faces of their regions are either triangles or nonconvex pentagons. We choose to embed them in Euclidean two space or plane with the natural product topology which makes them normal topologically. Any one of these continua is sufficient to exhibit all the color or hue names and arities of formation that are created by mixing two primary color units of any chroma or value at proportions that are equal. We call our continuum the Even Proportional Color Triangle (EPCT) and prove that it is a continuum. Functions are made between an infinite discrete proper subset of one EPCT and a set of polynomials to represent the hue names and the set of natural numbers to represent primary, binary, ... color units or color arity given by mixing color units. We formulate MacAdam Hue Limit Theorem (MHLT) which represents the first formal mathematical statement of an observed property of color mixture, which is a panoptic theoretic interpretation of a theorem from real analysis. EPCT can be used to define other continua and it has important properties of dimension theory and yields lemmas and corollaries.

Citation Download Citation

Avery Zoch "Even color triangle", Proc. SPIE 4421, 9th Congress of the International Colour Association, (6 June 2002); https://doi.org/10.1117/12.464670

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