eli5 please explain to me “n” dimensions

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I get 1, 2, and 3 dimensions and their visual representations. For instance, 3-dimensional space has width, length, and depth but how about a 6-dimensional space, how can we grasp it in n intuitive manner free of mathematical analysis?

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Anonymous 0 Comments

Trying to visualise it will get you nowhere. Human brains simply can’t do it.

What we can do it understand it mathematically.

A 1D space is a line. Any position can be described with a single number

A 2D space is a flat plane. Any position can be described with two numbers, usually given as an x and y coordinate.

A 3D space is what we live in. Any position can be described with 3 numbers, often given as x, y, and z.

Continue the same logic, and a 6D space would be one where you need 6 numbers to describe a position.

If you want to actually to do anything with a 6D space, you will need to do some mathematical analysis.

Dimensions are a mathematical concept. Trying to understand dimensions without using mathematical analysis is like trying to read a book without using language.

Even most mathematicians don’t have any way to visualise things like this. Advanced mathematics often requires being able to understand complex ideas without a visual representation.

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