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Since a 3-member ring is allowed, I understood the problem to be like growth of a freely-jointed polymer chain, where the octahedra may be linked by both axial and edge connections.  This seems to rule out simple symmetry operations to count the...
Interesting problem.  A practical case is twinning in face centered cubic crystals, where multiple twinning can produce what appear to be 5-fold symmetric facets by reflections through 111 planes.  At the 1990 Materials Research Society meeting Linus...
Hello everyone.  My name is Fred, and I work on radiation sensitive materials and devices.  I use Mathematica for solving equations, performing simulations and data analysis, and have also used the CDF player to animate reports.   This community...