We raise the question of the nature and number of regions of space created by extending the face-planes of each of the Platonic solids (regular convex poyhedra). The arguments will be clarified by the use of appropriate braided models.
Jean Pedersen's main mathematical interests are polyhedral geometry, number theory and combinatorics. Among her 7 books the ones that may be of most interest to BAMA audiences are
Geometric Playthings (with Kent Pedersen),
Mathematical Reflections - In a Room with Many Mirrors (with Peter Hilton and Derek Holton), and
Mathematical Vistas - From a Room with Many Windows (with Peter Hilton and Derek Holton).
Professor Pedersen is a past governor of the Northern California section of the Mathematical Association of America (MAA) and, in 1997, she received the Section's award for Distinguished Teaching. She was an Erskine Visiting Fellow in May-June of 2001 at the University of Canterbury in Christchurch, New Zealand and has been offered another Erskine Fellowship there for July-August 2002.