Answer not a fool according to his folly,lest thou also be like unto him.
— Proverbs 26:4
1. A moderately easy problem for a mathematically inclined reader.
2. The author will reward you if you are first to report an error in the statement of an exercise or in its answer, assuming that he or she is suitably sagacious.
3. See H. Poincaré, Rendiconti Circ. Mat. Palermo 18 (1904), 45–110; R. H. Bing, Annals of Math. (2) 68 (1958), 17–37; G. Perelman, arXiv:math/0211159 [math.DG], arXiv:math/0303109 [math.DG], arXiv:math/0307245 [math.DG].
1. Following the hint, we’ll want the second ‘4m−4’ to be immediately followed by the first ‘2m – 1’. The desired arrangements can be deduced from the first ...