Some of the comments below yours seem to be confusing the 2 times the author mentions the dividing of the rope.
The 1st is when he outlines the problem (at the beginning)
>Yet he divides the rope in half, ties the two parts together, and escapes to his freedom.
The 2nd is when the author provides the answer (at the end)
> The answer: he split the rope lengthwise, tied the two halves together and shimmied to freedom.
"Yet he divides the rope in half, ties the two parts together..."
> Which leads to one final question: how exactly did the prisoner with the insufficiently long rope manage to escape? The answer: he split the rope lengthwise, tied the two halves together and shimmied to freedom.
You could maybe unbraid the rope and deconstruct carefully into component threads and reconstruct into two ropes, Banak-Tarski(spell?) style. But that would be quite involved.