http://en.wikipedia.org/wiki/Gimbal_lockhttp://www.hq.nasa.gov/alsj/gimbals.htmlhttp://en.wikipedia.org/wiki/Image:Gyroscope_operation.gif

From Synergetics: "The specialists brief on brevity is dubious".

Is gimbal lock a hint that the definition of physical space as three
dimensional instead of four dimensional is just a case of too much
brevity by mathematicians?

The reason I ask is that you can define physical space as four
dimensional like the Synergetics coordinate system, which is from the
tetrahedron, described at:http://bfi.org/node/574
and a method to overcome gimbal lock uses four dimensional unit
quaternions.

And the Pythagoreons might have had the right idea at:

http://kmr.nada.kth.se/files/gok/firstproto/index.php?gallery=Fenomen...
_Begrepp/Pythagoras/Misc&image=Number_related_to_form.jpg

Is there a way to overcome gimbal lock mathematically without conserving
both angles and distances in four dimensions in intermediate
computations? Where can I find it?

Cliff Nelson

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Don't be a square or a blockhead; see:http://bfi.org/node/574http://library.wolfram.com/infocenter/search/?search_results=1;search...
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