By Henry E. Dudeney
Virtually each type of mathematical or logical poser is incorporated during this awesome assortment — difficulties in regards to the manipulation of numbers; unicursal and course difficulties; relocating counter puzzles; locomotion and pace difficulties; measuring, weighing, and packing difficulties; clock puzzles; blend and crew difficulties. Greek move puzzles, difficulties concerning the dissection or superimposition of aircraft figures, issues and features difficulties, joiner's difficulties, and crossing river difficulties critically try the geometrical and topological mind's eye. Chessboard difficulties, concerning the dissection of the board or the location or flow of items, age and kinship problems, algebraical and numerical difficulties, magic squares and strips, mazes, puzzle video games, and difficulties referring to video games provide you with an unparalled chance to workout your logical, in addition to your mathematical agility.
Each challenge is gifted with Dudeney's certain urbane wit and sense of paradox, and every is supplied with a clearly-written resolution — and infrequently with an a laugh and instructive dialogue of ways others attempted to assault it and failed. many of the difficulties are unique creations — yet Dudeney has additionally integrated many age-old puzzlers for which he has found new, miraculous, and typically easier, solutions.
"Not merely an enjoyment yet a revelation … "— THE SPECTATOR.
"The most sensible miscellaneous selection of the type …"— NATURE.
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Additional info for Amusements in mathematics
You see, Andrew managed to get possession of just two−thirds of the parcel of sugar−plums. Bob at once grabbed three−eighths of these, and Charlie managed to seize three−tenths also. Then young David dashed upon the scene, and captured all that Andrew had left, except one−seventh, which Edgar artfully secured for himself by a cunning trick. Now the fun began in real earnest, for Andrew and Charlie jointly set upon Bob, Amusements in Mathematics 31 who stumbled against the fender and dropped half of all that he had, which were equally picked up by David and Edgar, who had crawled under a table and were waiting.
If you place c in the very centre of the dotted square, it will give the solution in Figs. 8 and 9. You will now see that by sliding the square about so that the point c is always within the dotted square you may get as many different solutions as you like; because, since an infinite number of different points may theoretically be placed within this square, there must be an infinite number of different solutions. But the point c need not necessarily be placed within the dotted square. It may be placed, for example, at point e to give a solution in four pieces.
But the law is none the less geometrically true. [Illustration: FIG. ] [Illustration: FIG. ] Now look at Fig. 29, and you will see an elegant method for cutting a piece of wood of the shape of two squares (of any relative dimensions) into three pieces that will fit together and form a single square. If you mark off the distance ab equal to the side cd the directions of the cuts are very evident. From what we have just been considering, you will at once see why bc must be the length of the side of the new square.
Amusements in mathematics by Henry E. Dudeney