Are the Three Dimensions of Our Universe Independent?

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jd12345
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I don't know how to frame my question but i will try - Is it a rule / property / characteristic of (our) universe that we have three dimensions and all are independent of each other?

I am not sure about my doubt but i think what confuses me is the independence of the three dimensions
 
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Actually, we have four dimensions- three spatial dimensions and one time dimension. But, yes, that is, basically, a basic property of our universe, as determined by experiment.