[r-t] Cayley graphs of doubles extents

Martin Cansdale martin.cansdale at gmail.com
Fri Nov 12 10:57:42 UTC 2004

I don't know if it's just my browser, but 123 and 145 seem to be
labelled the wrong way round, colour wise.


On Thu, 11 Nov 2004 16:56:11 -0800 (PST), Alexander Holroyd
<holroyd at math.ubc.ca> wrote:
> http://www.math.ubc.ca/~holroyd/cayley/
> 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
> required).
> 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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