Fig 1: exaggerated view
David Koski and I have long wondered how best to model an intermediate stage in an "S-Factor Transformation" which relates to the Jitterbug.
The Jitterbug starts off with a 20 --> 18.51... reduction in volume, as the cuboctahedron contracts to become an icosahedron. One application of the S-Factor reciprocal i.e. 18.51/20 ~ 1/1.08 takes us from 20 to the target shape.
A next application of the same constant takes us where? Two applications take us to another cuboctahedron, with faces flush to the same reference octahedron as the target icosahedron's.
Fig 2.: Icosahedron and Cuboctahedron,
flush to the reference Octahedron
Our current thinking is to park the shape resulting from one application of the S Factor, in between (Fig 1.), yet flush to the same reference octahedron.
