The 4th dimension is commonly regarded as time. So a 4D cube could be considered a 3D cube as it exists over time.
Chat with our AI personalities
The 4-dimensional analogy of a 3D cube.
i think it is where 2d is flat 3d looks like you can touch it but you cant and 4d is where you can see it and physically touch it
It is a linear equation in one unknown, d.
We can think time as a 4D object, but we cannot visualize so easily a 4D object. But surely we know that a 4D object cannot live inside the 4D space, it will live in the 5th dimension space. We know that we can calculate the hyper-volumes by using integration (in our case) over a R4 domain which is not so easy to be visualize also. For example by hand we can construct a R3domain by using the xyz-coordinate system.
If Q=quarter, D=dime, N=nickel, and P=penny, then 3Q 2Q + 2D + 1N 2Q + 2D + 5P 2Q + 1D + 3N 2Q + 1D + 2N + 5P 2Q + 1D + 1N + 10P 2Q + 5N 2Q + 4N + 5P 2Q + 3N + 10P 2Q + 2N + 15P 2Q + 1N + 20P 2Q + 25P 1Q + 5D 1Q + 4D + 2N 1Q + 4D + 1N + 5P 1Q + 4D + 10P 1Q + 3D + 4N 1Q + 3D + 3N + 5P 1Q + 3D + 2N + 10P 1Q + 3D + 1N + 15P 1Q + 3D + 20P 1Q + 2D + 6N 1Q + 2D + 5N + 5P 1Q + 2D + 4N + 10P 1Q + 2D + 3N + 15P 1Q + 2D + 2N + 20P 1Q + 2D + 1N + 25P 1Q + 2D + 30P 7D + 1N 7D + 5P 6D + 3N 6D + 2N + 5P 6D + 1N + 10P 6D + 15P 5D + 5N 5D + 4N + 5P 5D + 3N + 10P 5D + 2N + 15P 5D + 1N + 20P 5D + 25P 4D + 7N 4D + 6N + 5P 4D + 5N + 10P 4D + 4N + 15P 4D + 3N + 20P 4D + 2N + 25P 4D + 1N + 30P 4D + 35P AND SO ON