| 41. | Multiplication of unit quaternions produces composition of rotations, and
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| 42. | Each ( proper ) rotation is represented by a quaternion with unit norm.
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| 43. | The singularities are also avoided when working with quaternions.
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| 44. | Sometimes a redundant fourth number is added to simplify operations with quaternion algebra.
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| 45. | This we recognize as the rotation matrix corresponding to quaternion
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| 46. | MacFarlane was the secretary of the Quaternion Society and compiler of its publications.
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| 47. | Other quaternion properties can be similarly related to or derived from geometric algebra.
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| 48. | This can be seen in its relation to quaternions.
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| 49. | Slerp also has expressions in terms of quaternion algebra, all using exponentiation.
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| 50. | Much in the limelight, he stood as President of the Quaternion Society.
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