DUAL PAIR No. 2

This figure is a dual pair with each element of the pair projected on to a sphere.  The outside sphere is a rhombic dodecahedron which is a Catalan Solid.  The inner shoere is an cuboctahedron which is an Archimedean solid.  The dual nature of the pair is demonstrated by the facts that the inner figure has a vertex where the outer figure has a face - and vice versa.  Each figure has an edge crossing at right angles to a correxponding on the other figure.  This figure shows the beauty of geometry in a powerful way.  There will eventoually be thirteen such pairs (an Archimedean / Catalan dual) on this site.  All are uniquely beautiful.