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There are several billion solutions to the problem, of which about 122,000,000 have the knight finishing on the same square on which it begins.
Many variations on this topic have been studied during the centuries:
The knight's tour problem is an instance of the more general hamiltonian path problem in graph theory, which is NPcomplete. The problem of getting a closed knight's tour is similarly an instance of the hamiltonian cycle problem. See How to solve the knight's tour for instructions on solving the knight's tour problem.
The pattern made by a Knight's Tour has often been used as a literary constraint. The earliest instance of this is found in Rudrata[?]'s Kavyalankara[?] written during the 9th century.
In the 20th century the Oulipo group of writers used it among many others. The most notable example is the 10x10 Knight Tour which sets the order of the chapters in Georges Perec's novel La Vie mode d'emploi.
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