how can I represent 4 dimensional data in 3 dimensions(RGB) or 2 dimensions(XY grid) [closed]

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I want to represent 4 dimensional data in RGB colors so that when clustering is done similar nodes have similar colors or by position on an XY grid. how can this be done?

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4d? like 3d data with the time dimension?

Anyway, it depends on what technology we're talking about. It sounds like you would need a 3d scatter chart with your fourth dimension being a selection control such as a slider that changes the time. You could use WPF w/ silverlight if you want to display it on a site but I'm sure a variety of technologies can be used to get the same result. You'll need to modify most common solutions to get the similar colors according to position. Statistical algorithms like k-means is usually suited for clustering data together.

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Let the four dimensions be w,x,y,z.

There will only be 3 axis:

• make x as the no. of degrees it is farther from x axis
• similarly, put the value of y as the no. of degrees it is parallel to y axis.
• do the same with z.

w represents how far the point is from the origin of the chart.

Alternatively, you may simply use a Radar Chart.