As we know Our world is a 3d one. But one may even think about a dimension higher than ours. Well to some it doesn't exist. We can't exactly make a 4 dimensional thing But we can project one on a 2d object. First of all, for this we'll have to understand 0,1,2,and 3 dimensions.
Consider a point,it is of no,or 0 dimensions but extend the point sideways and you'll have a line or 1 dimensional object. If you further extend the line,we get a 2 dimensional object that is a square.if we further extend a square upwards,we get a 3 dimensional cube.
Consider a point,it is of no,or 0 dimensions but extend the point sideways and you'll have a line or 1 dimensional object. If you further extend the line,we get a 2 dimensional object that is a square.if we further extend a square upwards,we get a 3 dimensional cube.
So to get a 4 dimensional cube, we just have to extend the cube outwards and we'll have a peculiar shape commonly known as a tesseract.
source:getty images and shutterstock
But this doesn't just ends here.with every change in dimension, the rotation also changes. For example-----let's take a point.a point can't undergo any rotations.but if you take it to a higher dimension,you'll find that you can rotate it,but the rotation is limited.you'll just find a piece of line rotating on a 2d surface.and a 2 dimensional object rotating it'll be just the same but the object will be bound by 4 line segments. But if you're rotating a 3 dimensional cube, the rotation is just as normal rotating cubes.
However,in 4th dimension, the rotation changes in 2 axis and we get a peculiar rotation called the double rotation.
A 4 d tesseract undergoing double rotation
wow
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