| 21. | Forms a subring of the Hurwitz quaternions " H ".
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| 22. | On page 173 Macfarlane expands on his greater theory of quaternion variables.
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| 23. | Hamilton defined a quaternion as the quotient of two vectors.
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| 24. | In 1947 Conway put quaternions to use with rotations in hyperbolic space.
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| 25. | All of these were part of Hamilton's original quaternion calculus.
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| 26. | Setting quaternions before freshmen students of engineering asks too much.
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| 27. | There has been a lot of nonsense written about quaternions over time.
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| 28. | In contrast, the quaternion conjugation can be expressed arithmetically:
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| 29. | It is possible to construct Mandelbrot sets in 4 dimensions using quaternions.
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| 30. | Peter Guthrie Tait carried the quaternion standard after Hamilton.
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