Where in realty can we see applied multidimensional mathematics?

As far as I know there are multidimensional mathematics which work in the 4th, 5th, 6th and etc dimensions.

I even read that they were used when designing optimal packages for products and their packing. But I am unsure about this.

So can you give me an example?

Are they used in complex computer processes like CPU and when rendering computer graphics from.video games and videos?

Looking forward to your reply! :)