Havil once again explores a variety of mathematical results and problems that at first appear to be self-contradictory, or stated in such a way that no solution could exist. In each case, he then either sketches a proof of why the result is not contradictory, or explains the solution to the seemingly unsolvable problem... Like a magician revealing secrets, Havil maintains this sense through most chapters, dropping the punch line at just the right moment. -- J.T. Noonan Choice This sequel to the author's book Nonplussed! supplies another set of brain-stretching problems and ideas. Its subtitle is 'Surprising Solutions to Counterintuitive Conundrums'; the surprise often consisting of the fact that it is possible to obtain a solution at all! ... Overall the book is well set-out, the language and explanations clear, and the section and chapter divisions and subdivisions carefully chosen.