- #1

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Is there a third dimension version of this? Are there even more complex numbers that not only extend into the y axis but also the z axis?

tex

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- Thread starter thetexan
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- #1

- 250

- 8

Is there a third dimension version of this? Are there even more complex numbers that not only extend into the y axis but also the z axis?

tex

- #2

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Not 3, but 4 dimensions:

Is there a third dimension version of this? Are there even more complex numbers that not only extend into the y axis but also the z axis?

tex

https://en.wikipedia.org/wiki/Quaternion

- #3

Ssnow

Gold Member

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yes, You can obtain it considering ##\mathbb{C}\times \mathbb{R}## as structure space and giving rules for the addition and multiplication, from the history point of view is not used so much this extension ...

More interesting is the ##4## dimensional extension, this is the set of quaternions ...

More interesting is the ##4## dimensional extension, this is the set of quaternions ...

Last edited:

- #4

Mark44

Mentor

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Fixed that for you...

giving rules for the~~addiction~~addition and multiplication

- #5

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tex

- #6

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Yes!

tex

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