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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Great video for explaining the 4th dimention and why it’s impossible to understand fully.
Great video for explaining the 4th dimention and why it’s impossible to understand fully.
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.
I recommend this video, it has nice visuals to try and explain a really difficult concept as intuitively as possible: https://youtu.be/zwAD6dRSVyI
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.
I recommend this video, it has nice visuals to try and explain a really difficult concept as intuitively as possible: https://youtu.be/zwAD6dRSVyI
There’s a few videos already posted in this thread, but I always liked [this one.](https://youtu.be/XjsgoXvnStY). This one really summarizes it in an easy to understand way.
I found it best to imagine it in terms of grids. 2d is normal, 3d is a cube of cells, and I started to imagine 4d as a line of these cubes, but not connected, 5d is a grid of the cubes, and 6d is a cube of cubes. The important part to remember is you can move between the cells in the original cube, but also along a line in the larger dimensional cube just as easily. In a 3d world this higher dimensional movement looks like teleportation but that is just what higher dimensions look like to a lower dimension.
There’s a few videos already posted in this thread, but I always liked [this one.](https://youtu.be/XjsgoXvnStY). This one really summarizes it in an easy to understand way.
I found it best to imagine it in terms of grids. 2d is normal, 3d is a cube of cells, and I started to imagine 4d as a line of these cubes, but not connected, 5d is a grid of the cubes, and 6d is a cube of cubes. The important part to remember is you can move between the cells in the original cube, but also along a line in the larger dimensional cube just as easily. In a 3d world this higher dimensional movement looks like teleportation but that is just what higher dimensions look like to a lower dimension.
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