File:Hypersphere of rotations.png

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Summary

This is work of my own to illustrate article "Quaternions and spatial rotation"

This represents the 4-dimensions hypersphere of the rotations in 3D space.

The hypersphere is intersected with plane Z = 0, so the represented rotations all have an horizontal axis (an axis in the xy plane).

The vertical dimension shows the rotation angle, from 0° to 360°.

Licensing

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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.

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File history

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	Date/Time	Dimensions	User	Comment
current	14:42, 25 November 2012	1,525 × 1,711 (26 KB)	Hawky.diddiz	Lossless optimization
	10:20, 20 April 2009	1,525 × 1,711 (36 KB)	MathsPoetry	Making clear that the arrows represent rotations and not vectors
	10:17, 20 April 2009	1,525 × 1,711 (36 KB)	MathsPoetry	Making clearer that the arrows represent rotations and not vectors
	14:30, 19 April 2009	1,525 × 1,711 (34 KB)	MathsPoetry	This is work of my own to illustrate article "Quaternions and spatial rotation" This represents the 4-dimensions hypersphere of the rotations in 3D space. The hypersphere is intersected with plane Z = 0, so the represented rotations are 2D only. The ve