Basic math is basic math!
Any rigid body is topologically equivalent to a sphere. You can reach
every point on sphere by two rotations.
Key is:: The reference system is not you it's the body! So in 3D you
have two rotations only. The third axes only oscillates.
The numerical solution space is a torus!
J.W.
On 26.08.2021 00:44, Robin wrote:
In reply to Jürg Wyttenbach's message of Tue, 26 Jan 2021 23:50:02 +0100:
Hi,
I just came across this again, and upon re-reading it, it occurs to me to ask
what exactly you mean by an independent
rotation? It seems to me that in 3D space there are 3 independent orthogonal
vectors which may act as an axis of
rotation, hence I would be inclined to say that one can have n independent
rotations in n dimensional space, rather than
n-1?
[snip]
Generally you can have n-1
independent rotations in n dimensional space.
[snip]
Regards,
Robin van Spaandonk <[email protected]>
--
Jürg Wyttenbach
Bifangstr. 22
8910 Affoltern am Albis
+41 44 760 14 18
+41 79 246 36 06
