Start off with a (predefined) mix of combinators, repeatedly apply one combinator to another, and analyze the resulting mix. In particular, it is interesting to see under what conditions and after how long self-replicating combinators appear. This resembles the primordial soup experiment by Miller and Urey.
The torsion angle of a segment in a (3D) polygon is the angle between the two angle-spanning planes at each end of the segment (involving the two adjacent segments).
In a constant-torision polygon, all torsion angles are the same.
In a regular polygon, all segment lengths are the same and all joint angles are the same.
The classification of all regular 2D polygons is known. Regular polygons in 3D are too wild. Hence, the interest in regular constant-torsion polygons. See:
More information: dr. T. Verhoeff (T.Verhoeff@tue.nl, +31-40-247-4125)