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Obligatory mention that this shape could also be represented as a dual quaternion.


And is a dual quaternion simpler than a sine wave?


It’s more general and composes nicely.


An octernian?

There should be a unicode "sextuple-u" character so you can express "www" in one letter (and five fewer syllables). Think of all the time and bandwidth that would save!


Nope, it’s not an octonion, it’s a dual quaternion.

The nice think about dual quaternions is that they compose. So you could then connect this screw to another screw in a smooth fashion.




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