(November 25, 2022 at 1:34 pm)Anomalocaris Wrote:(November 25, 2022 at 1:15 pm)polymath257 Wrote: No difficulty at all describing them.
Most people can't *really* visualize 3D, let alone 5D. But 5D isn't that hard: just think in 4D and add one dimension.
So 5D is just can’t cubed.
As the dimensions go up, the degree of visualization goes down, but the ability to use the math goes up.
In many way mathematically, 5D is easier than 3D. For example, the 5D Poincare conjecture was known LONG before the 3D version was proved.
3D is usually considered to be hardest because visualization starts to fail and there isn't enough 'space' to do the tricks higher dimensions allow.