It's true that a sphere will lodge itself rather awkwardly within a spiralling shell — due to the difference between a dynamic and uniform shape, the sphere will not be able to create a perfect seal — there will be a gap somewhere. However, a sphere which moves around in a spiral, and changes scale appropriately as it does so, would at least be able to trace out a perfect shell-like shape.
.png "Model of spiralling spheres (within a sphere)")
The above image shows a model (in four viewpoints) of an overall (wireframe) sphere perfectly containing a (golden ratio) red sphere with a smaller green (golden ratio) sphere on top.
The three yellow spheres represent a spiral path which the red/green spheres could take towards ‘becoming one another’. All spheres touch the inner surface of the larger container sphere, so when animated they trace out a 360° loxodrome from pole to pole.
This form, a result of the animated sphere boring-out the insides of the container sphere, could be repeated within any nested sphere.
I think this model is starting to look fruitful, satisfying a number of criteria for a visual representation of the structure of Objectivism.
A bold claim ~ more next month…
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