File:Hypersphere of rotations.svg

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    Original file (SVG file, nominally 713 × 800 pixels, file size: 1 KB)

    This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

    Summary

    Description
    English: 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°.
    Date
    Source Own work
    Author MathsPoetry
    SVG development
    InfoField
     The SVG code is valid.
     This diagram was created with Inkscape, and then manually edited.
      This diagram uses embedded text that can be easily translated using a text editor.

    Licensing

    I, the copyright holder of this work, hereby publish it under the following licenses:
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    attribution share alike
    This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
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    • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
    GNU head 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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    Captions

    Hypersphere of rotations

    Items portrayed in this file

    depicts

    inception

    23 January 2026

    media type

    image/svg+xml

    data size

    1,415 byte

    checksum

    5cc533a8c6345c2dfa9f5049713d8cfd7df7a377

    determination method or standard: SHA-1

    File history

    Click on a date/time to view the file as it appeared at that time.

    Date/TimeThumbnailDimensionsUserComment
    current00:37, 24 January 2026Thumbnail for version as of 00:37, 24 January 2026713 × 800 (1 KB)wikimediacommons>Pduive23Uploaded own work with UploadWizard

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