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Apologies if the question is too vague, please delete if so.

I am trying to understand Manifolds in general (if there is any recommended text?) and how to use the function DimensionReduce

Does the data need to be of a particular form or can a set of data of the form data=Table[RandomReal[], 3,100] ~ {{0.368934,0.923998,0.367269}...}

Using DimensionReduce[data,3]

be used to show a relationship?

Is there any recommended way to plot the new data?

Can the resulting 3D shape show anything about the data? An example data I tried had this effect:

Original data plot

Original data plot

DimensionReduce data plot

DimensionReduce data plot

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