I know about the tessaract and I'd like to understand more about it from a Euclidean perspective so I may translate it algebraically.
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I'm not sure what you mean by this. A manifold with a Euclidean metric works the same regardless of the number of dimensions, so if you understand how 2- and 3-dimensional Euclidean spaces work, you understand how 4-dimensional Euclidean spaces work. What else do you need to know?I'd like to understand more about it from a Euclidean perspective
Per the rules of this forum (https://www.physicsforums.com/threads/physics-forums-global-guidelines.414380/ ):My goal is to find ways to start linking the dimensions for a few book hypotheses I have written.
Generally, in the forums we do not allow the following:
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Ok, good.I don't know what a Manifold is, I'll look it up.
If you don't understand what a manifold is, then you need to learn that on your own first. Trying to answer your questions at this point would amount to giving you a course in geometry and topology, and that's beyond the scope of PF.Perhaps you can help my other thread question.
No; "generally" meaning it's a rule unless a particular exception is made, and any exceptions to the rule are at the discretion of the moderators.Generally meaning it is due to the tone of the message and not the letter.
These are not the same thing at all. A 1-dimensional straight line has fewer dimensions than a chart (at least as long as the chart has 2 or more dimensions). A 4-dimensional space has more dimensions than a 3-dimensional graph.I am asking about 4-dimensional space on a three dimensional graph. In much the same way that you put a straight line (1 dimensional) on any chart.
As I said in my previous post, you need to learn the basics for yourself first. That includes manifolds, per my previous post; it also includes coordinate charts and projections (since in order to represent a space of n dimensions on a graph of fewer than n dimensions, you need to do some kind of projection). The questions you are asking are too general at this point to be answered within the scope of PF. Thread closed.Can someone answer my last threads question or expound on manifolds for me please.
No, actually, you brought it up when you said this (which I quoted):Well I just want some help and answers, but since you brought it up.
You're a new member here, so might not be aware of our rules, especially those on personal theories and the like.My goal is to find ways to start linking the dimensions for a few book hypotheses I have written.