Multiple paths can be drawn on the grid below following along ten of the twelve segments but never using any segment twice.
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How many such paths are there?
(In reply to
re(2): As many as I found by Charlie)
I neglected those starting with a spoke; those starting with segment f are now included as well as those already reported starting with segment h. Although there are 34, there are in fact some reflections, as for example f followed by i is a reflection of f followed by d:
hkifcadgjl be
hkifcadgeb jl
hkifcabegd jl
hkifcabejl dg
hkidacfgjl be
hkidacfgeb jl
hkidbegfca jl
hkigebacfd jl
hkigebdfca jl
hkljgfcadi be
hkljgfcabe di
hkljgdacfi be
hkljebacfi dg
hkljebacfd gi
hkljebacfg di
hkljebdfca gi
fikhcadgjl be
fikhcadgeb jl
fikhcabegd jl
fikhcabejl dg
filjgdachk be
filjebachk dg
fdachkigjl be
fdachkigeb jl
fdachkljgi be
fdachkljeb gi
fdbegikhca jl
fdbejlkhca gi
fgjlkhcadi be
fgjlkhcabe di
fgjlidachk be
fgebachkid jl
fgebachklj di
fgebdikhca jl
but it's still true that with rotations and reflections counted separately the total is 200.
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Posted by Charlie
on 2016-02-19 14:59:11 |
Missed a few before--now added; As well as I can classify them
