English

On the composition of finite rotations in $\mathbb{E}^4$

General Mathematics 2015-08-25 v2

Abstract

We achieve compositions rules for the geometric parameters of the composed rotations, which is in a certain sense analogous to the well known Rodrigues formula. We also obtain a necessary and sufficient condition for a composition of two simple rotations in E4\mathbb{E}^4 to be a simple rotation.

Cite

@article{arxiv.1504.03717,
  title  = {On the composition of finite rotations in $\mathbb{E}^4$},
  author = {Alex Goldvard and Lavi Karp},
  journal= {arXiv preprint arXiv:1504.03717},
  year   = {2015}
}
R2 v1 2026-06-22T09:16:06.392Z