Method and system for display of an additional dimension

A method for displaying the N+1st dimension in an N-dimensional display means including two or three dimensions of a first function of N+1 variables, comprising the following steps:

• A. converting said first function into the form by which the N+1st variable is a second function of the first N variables;
• B. computing, by said second function, the scalar value of each pixel, whose N-coordinates represent the specific values of said first N variables;
• and
• C. coloring or shading said pixel according to a predetermined color pattern by which each scalar value conforms to a predetermined color or shading.

A method for displaying in an N-dimensional display means including two or three dimensions the N+2nd dimension of an equation of N+2 variables, comprising the following steps:

• A. converting said equation into the form in which the N+2nd dimension is a variable that is a function of the other first N+1 variables;
• B. computing, by means of said function, the scalar value of each pixel, whose N+1 coordinates represent the specific values of said first N+1 variables;
• C. computing, by means of a predetermined isometric function, the deviation of each pixel from its first N coordinates to altered first N coordinates and eliminating each pixel that is determined by said isometric function as hidden behind a frontal pixel;
• and
• D. coloring or shading said pixel, if said pixel is not eliminated in step C, according to a predetermined color pattern by which said scalar value conforms to a predetermined color or shading.

A system including two or three dimensions for displaying the N+1st dimension of an equation of N+1 variables in an N-dimensional display means, comprising:

• (a) interface means for receiving input concerning said equation;
• (b) conversion means for converting said equation into the form in which the N+1st dimension is a variable that is a function of the other first N variables;
• (c) computing means for computing, by means of said function, the scalar value of each pixel, whose N-coordinates represent the specific values of said first N variables;
• (d) coloring means for coloring or shading said pixel according to a predetermined color pattern by which said scalar value conforms to a predetermined color or shading;
• and
• (e) an N-dimensional display means comprising a display interface, or storage or transmittal means adapted to instruct such display interface, wherein, the color or shade of each pixel in said display means is determined by said coloring means.

A system including two or three dimensions for displaying the N+1st dimension of a first function of N+1 variables in an N-dimensional display means, comprising:

• (a) interface means for receiving input concerning said equation;
• (b) conversion means for converting said first function into the form by which the N+1st variable is a second function of the first N variables;
• (c) computing means for computing, by means of said second function, the scalar value of each pixel, whose N-coordinates represent the specific values of said first N variables;
• (d) coloring means for coloring or shading said pixel according to a predetermined color pattern by which said scalar value conforms to a predetermined color or shading;
• and
• (e) an N-dimensional display means comprising a display interface, or storage or transmittal means adapted to instruct such display interface, wherein, the color or shade of each pixel in said display means is determined by said coloring means.

A system including two or three dimensions for displaying the N+2nd dimension of an equation of N+2 variables in an N-dimensional display means, comprising:

• (a) interface means for receiving input concerning said equation;
• (b) conversion means for converting said equation into the form in which the N+2nd dimension is a variable that is a function of the other first N+1 variables;
• (c) first computing means for computing, by means of said function, the scalar value of each pixel, whose N+1 coordinates represent the specific values of said first N+1 variables;
• (d) second computing means for computing, by means of a predetermined isometric function, the deviation of each pixel from its first N coordinates to altered first N coordinates and eliminating each pixel that is determined by said isometric function as hidden behind a frontal pixel;
• (e) coloring means for coloring or shading said pixel according to a predetermined color pattern by which said scalar value conforms to a predetermined color or shading;
• and
• (f) an N-dimensional display means comprising a display interface, or storage or transmittal means adapted to instruct such display interface, wherein, the color or shade of each pixel, if said pixel is not eliminated by said second computing means, in said display means, is determined by said coloring means.

A system including two or three dimensions for displaying the N+1st dimension that is a function of the other first N variables in an equation of N+1 variables in an N-dimensional display means, comprising:

• (a) Interface means for receiving input concerning said equation;
• (b) computing means for computing, by means of said function, the scalar value of each pixel, whose N-coordinates represent the specific values of said first N variables;
• (c) coloring means for coloring or shading said pixel according to a predetermined color pattern by which said scalar value conforms to a predetermined color or shading;
• and
• (d) an N-dimensional display means comprising a display interface, or storage or transmittal means adapted to instruct such display interface, wherein, the color or shade of each pixel in said display means is determined by said coloring means.