Old Post I Know
I wonder if anyone will see this?
Couldn't the 4th plot be time in this way? By representing the coordinates as themselves plus some rate of change?
That is the coordinate for time could be a set of functions that show a rate of change for the values of the three other coodinates, at some specific amount of time later, so that in order to "graph" this you would need a series of graphs plotted one after another representing the effect of time on the other variables? A cube that doesnt change, if filmed, is a four dimensional plot of a 3-D object when film is played back and viewed, right? LOL
So, if you were to take say 23 pictures a second of a 3-d plot and run through the set of time functions for the xyz coordinates for each frame you film, then you could see how the shape changes over time. Or you could superimpose all the frames on top of each other and see what it looks like (the equivalent of showing all time functions at once, plotted)
LOL using a little mental gymnastics one can do this. LOL
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