An odd behavior
The arborist supply houses usually supply Tenex split tails with locked Brummels at each eye. Without going into the merits (or demerits) of using a locked Brummel, it is worth mentioning a truly spooky way of making one, as detailed in the instructions by New England Ropes:
http://www.neropes.com/SPL_12Strand_EyeSpliceBrummel.aspx
Whoever invented this sucker had a capacity for geometric visualization far beyond mine. In the procedure detailed, the Tenex is actually turned inside out where the rope passes through itself.
But Tenex is capable of more than this! In the Brummel case, when the rope is passed through itself at a right angle, an eye is formed. There is no bury as in a normal eye, but it is an eye nonetheless. The eye is then pulled closed, then a little more until it flips inside out. What if we did this with a normal eye with a bury? The photo below shows 2 eyes. The upper one is normal, but in the lower one, I pulled the tail out through the side of the rope, and then pulled the eye closed.
The next photo shows what the rope end looks like. It is actually a lot of physical work to continue to pull the tail further, slowly forcing the rope to invert.