Timeline for Proofs where higher dimension or cardinality actually enabled much simpler proof?
Current License: CC BY-SA 4.0
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| May 23, 2020 at 13:28 | comment | added | user21820 | @Claus: It's very simple, and there is totally no need for "homogenous coordinates". Put the 3d plane in 4d space with one of the coordinates being 1. A translation in that 3d plane can be done via a linear shear in 4d. So everything transform is represented by a matrix operator on 4d vectors. This means that any sequence of transforms is a product of matrices. Using standard knowledge from algorithms and data structures, joining or splitting transform sequences can be done in $O(\log(n))$ time where $n$ is their total size. | |
| May 22, 2020 at 16:56 | comment | added | Claus | thanks a lot, striking! I have to look it up. Do you have a good link to that? | |
| May 22, 2020 at 16:07 | review | First posts | |||
| May 22, 2020 at 17:17 | |||||
| S May 22, 2020 at 16:02 | history | answered | Mike Wise | CC BY-SA 4.0 | |
| S May 22, 2020 at 16:02 | history | made wiki | Post Made Community Wiki by Mike Wise |