[seqfan] more on 3D walks on tetrahedral lattice

[Wouter Meeussen]

hi,

during a few days travel, I had my PC work on a few more path enumerations:

define a closed loop on a tetrahedral lattice, given that is everywhere
self-avoiding.
(This precludes a figure-8 type topology).
The smallest such loop has a 'length' of six steps.
There are 6 such loops, of 6/3 = 2 different topologies.
The complete set of all such loops traverses 25 different 'legs' of the lattice.

Upto 16 steps, I got:


length           6    8    10    12     14      16
#loops           6   12   120   564   4074   25008
# legs          25   37   151   199    457    1865

Does anyone recognise a familiar pattern here?

would it be worthwile to include that in EIS?
If so, I'll be glad to format it.

wouter.
Dr. Wouter L. J. MEEUSSEN
w.meeussen.vdmcc at vandemoortele.be
eu000949 at pophost.eunet.be



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