Geometry pp 287-303 | Cite as

Quaternions and Octonions

  • Roger Fenn
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


We have all seen how useful complex numbers are for describing isometries of the plane. We will now look at the quaternionic numbers and how useful they are for describing rotations of ℝ3. Indeed computer-game programmers have taken to using quaternions as a quick way to turn the picture round when heroes need to defend themselves.


Complex Number Division Algebra Vector Product Unit Quaternion Arbitary Real Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag London 2001

Authors and Affiliations

  • Roger Fenn
    • 1
  1. 1.School of MathematicsUniversity of SussexFalmerUK

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