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Subj:.....The
Gordian Knot (S637)
From the book
"Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1959
Remove
the shears without cutting the cord.
Of course at this
late day it would be impossible to correct the
great injustice done
to poor Gordius. Nevertheless, as true blue
puzzlists we can
condemn the high-handed manner in which Alexander
the Great, competing
in a puzzle contest, proceeded to make him-
self the umpire and
awarded himself the prize for his absurd
solution. He
established a dangerous precedent and encouraged
a kind of puzzle
brigandage which is not extinct to this day. We
often find young
Alexanders who would like to solve puzzles
according to their
own notion and capture prizes after the manner
of pirates.
Gordius was an unsophisticated
countryman who raised sheep and
grapes, but who by
extreme cleverness became King of Phrygia.
It is told that when
he assumed the secpter he tied his former
implements with what
is known in history as the Gordian knot,
but in such a peculiar
way that the knots could not be
unfastened.
The oracles proclaimed that whoever could intie
them would become
emperor.
Alexander the Great,
it is said, made many ineffectual attempts
to untie some of
the knots, but finally becoming enraged at his
want of success,
drew his sword and cut the cord, exclaiming
that "such is the
common sense way to get a thing when you
want it." Strange
that those familiar with the story and its
contemptible climax
indorse it with a certain air of assumed
pride when they have
surmounted some difficulty and exclaim:
"I have cut the Gordian
knot!"
According to historians
and all writers on the subject, the
puzzle was a fair
and legitimate one, and so accurately and
minutely described
that many attempts have been made to pic-
ture it. Some
curious and complicated knots have been invented
by imitators of Gordius,
and I wonder whether they would be
satisfied with the
answers to their puzzles if solvers followed
the method of Alexander.
The only protest against his solution
that I can recall,
were some clever lines which must be of very
ancient origin:
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A
puzzle is not solved, impatient sirs,
By peeping at
its answer in a trice -
When Gordius,
the plow-boy king of Phrygia,
Tied up his implements
of husbandry
In the far-famed
knot, rash Alexander
Did not undo by
cutting it in twain. |
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In presenting this
puzzle, I have drawn largely upon encyclopedia
lore, but have conformed
strictly to the description as I find
it. They all
agree that the cord was so fixed that no ends
could be found and
that the implements of husbandry were tied to
a staple in the temple
of the gods. I have taken Lattimer's
intimation that the
impliments may have been tied separately,
and I accept his
reference to the pruning shears as being worthy
of special illustration.
The puzzle is designed
especially for summer outings, and should
become popular at
the seashore as well as the mountain resorts.
It can readily be
solved by patience, perserverance, and quiet
study. It is
a puzzle to be solved in some quiet nook, "far
from the maddening
crowd."
Get a piece of cord
about one yard long, tie the ends together
to make an endless
piece. Take any kind of ordinary scissors
and arrange the string
exactly as shown in the picture, only
instead of fastening
the cord through the staple, throw it,
like a necklace,
over the head of a young lady, seated in a
convenient position,
who will aid you to win the crown of Asia
by removing the scissors. |