Geons and Generalized Cones
The geons constitute a partition of the set of generalized cones, which are the volumes created when a cross section is swept along an axis. For example, a circle swept along a straight axis would define a cylinder. A rectangle swept along an axis would define a brick. Four dimensions with contrastive values (i.e., mutually exclusive values) define the current set of geons (see Figure):
- Shape of cross section: round vs. straight.
- Axis: straight vs. curved.
- Size of cross-section as it is swept along an axis: constant vs. expanding (or contracting) vs. expanding then contracting vs. contracting then expanding.
- Termination of geon with constant sized cross-sections: truncated vs. converging to a point vs. rounded.
These variations in the generating of geons create shapes that differ in NAPs.
Read more about this topic: Geon (psychology)
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