Method and chart for organizing and producing colors
First Claim
1. A method for organizing and developing a multipigment color chart for the production and reproduction of any and all colors based on at least five basic colors (m) and any chosen number (n) of subdivisions therebetween comprising developing a two dimensional array of a plurality of planar triangular groupings of distinct color points wherein the apices of each triangular grouping represents the color extremes of said groupings and the remaining color points within said grouping are arranged in equidistant transitional color intervals between said apices and between the apices of any sub-triangles definable within the groupings, said groupings representing planar cuts of an m-1 dimensional pyramid the apices of which pyramid represent the basic colors chosen;
- and assigning to each color point in said array a composite coordinate value having a number of component coordinates equal to the number of basic colors used and representing the absolute amount of each basic color component of said color point, wherein the sum of all composite coordinate values for each point within the array is equal.
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Abstract
The invention provides a method and chart for organizing, developing and depicting a multipigment scale of colors based on at least five basic colors and any chosen number of subdivisions therebetween. The method and chart are based on the development of a two dimensional array of a plurality of planar triangular groupings of distinct color points wherein the apices of each triangular grouping represents the color extremes of said groupings and the remaining color points within said grouping are arranged in equidistant transitional color intervals between said apices and between the apices of any subtriangles definable within the groupings, the groupings representing planar cuts of an m-1 dimensional pyramid the apices of which pyramid represent the basic colors chosen. Each color point in said array is assigned a composite coordinate value having a number of component coordinates equal to the number of basic colors used and representing the absolute amount of each basic color component of said color point, wherein the sum of all composite coordinate values for each point within the array is equal.
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Citations
8 Claims
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1. A method for organizing and developing a multipigment color chart for the production and reproduction of any and all colors based on at least five basic colors (m) and any chosen number (n) of subdivisions therebetween comprising developing a two dimensional array of a plurality of planar triangular groupings of distinct color points wherein the apices of each triangular grouping represents the color extremes of said groupings and the remaining color points within said grouping are arranged in equidistant transitional color intervals between said apices and between the apices of any sub-triangles definable within the groupings, said groupings representing planar cuts of an m-1 dimensional pyramid the apices of which pyramid represent the basic colors chosen;
- and assigning to each color point in said array a composite coordinate value having a number of component coordinates equal to the number of basic colors used and representing the absolute amount of each basic color component of said color point, wherein the sum of all composite coordinate values for each point within the array is equal.
- 2. A chart for organizing, developing and depicting a multipigment scale of colors based on at least five basic colors (m) and any chosen number (n) of subdivisions therebetween comprising a two dimensional array of a plurality of planar triangular groupings of distinct color points wherein the apices of each triangular grouping represents the color extremes of said grouping and the remaining color points within said grouping are arranged in equidistant transitional color intervals between said apices and between the apices of any sub-triangles definable within the groupings and wherein said groupings represent planar cuts of an m-1 dimensional pyramid the apices of which pyramid represent the basic colors chosen.
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8. A method for the controlled production of any and all colors based on at least five basic colors and any chosen number of subdivisions therebetween comprising taking a two dimensional array of a plurality of color points and planar triangular groupings of distinct color points wherein each color point in said array is assigned a composite coordinate value having a number of component coordinates equal to the number of basic colors used and representing the absolute amount of each basic color component of said color point, the sum of all composite coordinate values for each point within the array being equal to, or a multiple of, (n-1), wherein n is the chosen number of subdivision between each pair of basic colors including the color points of said basic colors themselves, and wherein the apices of each triangular grouping within the array represents the color extremes of said grouping and the remaining color points within said grouping are arranged in equidistant transitional color intervals between said apices and between the apices of any sub-triangles definable within the groupings, said groupings representing planar cuts of an m-1 dimensional pyramid the apices of which pyramid represent the basic colors chosen;
- and mixing the amount of each basic color assigned to the composite coordinate value of the color point chosen for production, whereby any and all of the colors producible given the chosen number (m) of basic colors and the chosen number (n) of subdivisions therebetween is producible.
Specification