I am struggling with myself, if I should pass more Information to you,
or first patent it.
What I see from your description is that you always look at it as a round System. In your example with the ball, the ball has one Connection Point on the deepest Point.
In the Hamster Cage with the dowels this ball has 2 Connection points
If you remove some air from the Ball then you have n-Connection Points.
To Keep the ball rolling you must invest energy, that I can agree.
You have to turn the Hamster Cage from outside.
What I am discribing is a tilt function !! A fall over function !!
A Body will fall over also if you move the ground.
The moving ground is represented by the Hamster Cage.
Put a Quadrat in the hamster Cage and turn it, it will tumble.
Put a octagon in the Hamster Cage and turn it, it will tumble.
A octagon itself is a rigrid Connection that will not work.
Here you have to do something in Addition.
Kens construction has movable feets,
they are moved, compressed by the weight of the complete construction.
A deforming inwards, by doing this, the Center of mass is shifted sidewards.
In German we have a sentence
siegen durch nachgeben
hopefully translated right with
win by giving in