[r-t] Cayley graphs of doubles extents

Alexander Holroyd holroyd at math.ubc.ca
Fri Nov 12 00:56:11 UTC 2004


Follow the link above for interactive pictures of Cayley graphs of the
extent of doubles.  Drag the mouse over the image to rotate it (Java

Each vertex (point where several lines meet) represents a row on 5 bells.
Two vertices are connected by an edge (line) when one can get from one to
the other by a legal change.  The colour of the edge indicates the place
notation.  Single changes are shown in one picture, double changes (in the
in-course extent) in another.

A doubles extent corresponds to a Hamiltonian cycle in this graph (that
is, a circuit which visits each vertex exactly once).

Enjoy!  Ander

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