Tag Archives: Quaternion

Cayley–Dickson Construction of Complex, Quaternion and Octonion Numbers

Complex number can be thought of as a pair of real numbers. Quaternion can be thought of as a pair of complex numbers Octonion can be thought of as a pair of quaternions When we construct the complex, quaternion and … Continue reading

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Biquaternion

In the previous post we have seen that a quaternion is defined as where and , , , are real numbers. Biquaternion The biquaternion is a complexified quaternion where , , , are complex numbers. The basis elements , , … Continue reading

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Quaternion

Quaternions are 4-dimensional generalizations of complex numbers. It can also be said that the basis elements , , of a quaternion are 3-dimensional generalization of the pure imaginary number . William Rowan Hamilton discovered quaternions in 1843. After many years … Continue reading

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Quaternion Group Q8 and Yi Jing (I Ching) Hexagrams

In mathematics the quaternion group is formed by the basis quaternions . The multiplication table is given by compare the table above to the Yi Jing (I Ching) hexagrams below. The table of Yi Jing (I Ching) hexagrams is a … Continue reading

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Golden Biquaternions, 3 Generations and Spin

This paper was originally published at Google Knol on December 19, 2009 http://knol.google.com/k/golden-biquaternions-3-generations-and-spin Google discontinued the Knol platform on May 1, 2012. Contact: sureshemre at gmail Abstract We show that a particular solution of the golden condition for biquaternions and … Continue reading

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