Okay, I'm off on recalling "M", and right in my unstated recall of
something like "Riemann" but this bit of rope geometry wasn't
from the brilliant mathematician but Jack Reinmann (USA-Ohio)
and published in km43:22-3 as a
"Symmetric Hawser Bend"
--referring to Ashley's #1450, which is asymmetric. (1993,
summer --KM, i.e.)
Roo suggested loading the knot in reverse (i.e., by its tails);
that yields Ashley's
#1451, with some capsizing.
And so we can see that Ashley was "all around" this knot,
but missed it (it's an esp. easy-to-fiddle revision to #1450).
Incidentally, the companion knot is where the line upon
making its U-turn is tucked beneath itself instead of
crossing over itself.
- - - - - -
As for discovering a "new" knot by accident, hey, that counts!
I once mused what in my experience seemed a surefire method
for such discovery : invent some complex knot, and then each
time you tried to tie it (from recall), you'd likely go astray and
come up with something (else) new!
And for me, also, I tie interlocked-
overhands knots by first
forming one overhand and then reeving the appropriate
end (only one, if an eyeknot) into it as per which of the
knots --
#1425, 1452, 1408, Rosendahl's, and others--
I want. I also got to
Rosendahl's by revising
SmitHunter's.--dl*
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