http://www.ds.mei.titech.ac.jp/cat.gif

Here is a geometric formation of how a cat rotates when it falls. Parts of the cat are represented by point particles.

The animation you enjoy here explains how cats do geometry. Do you know
a tale of Sir Isaac Newton's cat? I think he or she

was happier than Scroedinger's anyway. I do not know Newton's cat was
able to turn a somersault well, but Prof. I. Newton

seems not to have known the falling cat phenomenon is closely related
with classical mechanics. It turnes out only recently that

the falling cat phenomenon can be explained in terms of classical mechanics
and differential geometry. When a cat is put upside

down in the space and released without any force inputted, he cannot
rotate his own body. That is, the motion of the cat after

being released is performed with vanishing angular momentum. Indeed,
cats realize rotations with vanishing angular momentum.

It is a heavy task for us to draw a realistic cat, so that we have
chosen to model the cat as a system of particles. This animation

shows vibrational motion with vanishing angular momentum. You will
find that the first and the last configurations are the same.

That is, the vibration realizes a rotation as a result. We show by
the connection theory that the realized rotation is interpreted as

a holonomy associated with a parallel translation. So cats unconsiously
do geometry. (T.Iwai)

Remark:This work is part of research in our laboratory 1994.

http://www.kuamp.kyoto-u.ac.jp/labs/kousuu/iwai/anime/english.html