they sure are not same, but there's remarkable similariry, and so they're named tweedledee and tweedledum,
which means twins, hard to distinguish, by looking.
Their claimed "similarity" is only skin deep. I will never call "similar" two knots of different topology ! Is the 0 similar to 1 ? Is the sphere "similar" to a torus / donut ? Especially in this case, the one bend can be turned into a PET eye-knot, while the other can not. Big, HUGE difference ! The "
remarquable similarity" and the names chosen by R.E.Miles were unfortunate mistakes ! The Teweedledum ( M. B 24 ) is more "similar" to the "Flat square knot ( M. B 29 ).
The road to call "similar" all the knots that it is hard to distinguish
by looking ( but very easy by
tying or
untying...), is a very slippery one ! Imagine how many completely different knots, indeed,
things, you will be forced to call "similar" !
For a FINE, in depth exposition on the issue of the so-called "similarity" of various bends, see :
http://charles.hamel.free.fr/knots-and-cordages/Investigation_6.html