Editing Rotation (section)

===In higher dimensions===
{{see also|Rotations in 4-dimensional Euclidean space}}

As dimensions increase the number of [[rotation vector]]s increases. Along a [[four dimensional space]] (a [[hypervolume]]), rotations occur along x, y, z, and w axis. An object rotated on a w axis intersects through various [[volumes]], where each [[Intersection (geometry)|intersection]] is equal to a self contained volume at an angle. This gives way to a new axis of rotation in a 4d hypervolume, where a 3D object can be rotated perpendicular to the z axis.<ref>{{Cite journal|url=https://ieeexplore.ieee.org/document/6165243|title=Multitouching the Fourth Dimension|first1=Xiaoqi|last1=Yan|first2=Chi-Wing|last2=Fu|first3=Andrew J.|last3=Hanson|date=September 29, 2012|journal=Computer|volume=45|issue=9|pages=80–88|via=Semantic Scholar|doi=10.1109/MC.2012.77}}</ref><ref>{{Cite journal|url=https://doi.org/10.1007/s12650-015-0319-5|title=A visualization method of four-dimensional polytopes by oval display of parallel hyperplane slices|first=Akira|last=Kageyama|date=August 1, 2016|journal=Journal of Visualization|volume=19|issue=3|pages=417–422|via=Springer Link|doi=10.1007/s12650-015-0319-5|arxiv=1607.01102}}</ref>