By Henry E. Dudeney
Virtually each type of mathematical or logical poser is incorporated during this outstanding assortment — difficulties in regards to the manipulation of numbers; unicursal and path difficulties; relocating counter puzzles; locomotion and velocity difficulties; measuring, weighing, and packing difficulties; clock puzzles; blend and workforce difficulties. Greek go puzzles, difficulties related to the dissection or superimposition of airplane figures, issues and contours 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 circulate of items, age and kinship problems, algebraical and numerical difficulties, magic squares and strips, mazes, puzzle video games, and difficulties touching on video games offers you an unparalled chance to workout your logical, in addition to your mathematical agility.
Each challenge is gifted with Dudeney's precise urbane wit and sense of paradox, and every is supplied with a clearly-written answer — and sometimes with an fun 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, superb, and typically easier, solutions.
"Not merely an entertainment yet a revelation … "— THE SPECTATOR.
"The most sensible miscellaneous number of the sort …"— NATURE.
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Extra info for Amusements in Mathematics
I should say the name ‘tangram’ was probably invented by an American some little time before 1864 and after 1847, but I cannot find it in print before the 1864 edition of Webster. i37 37 07/12/2006 15:27:57 GOOD OLD-FASHIONED CHALLENGING PUZZLES Several correspondents have informed me that they possess, or had possessed, specimens of the old Chinese books. An American gentleman writes to me as follows:—‘I have in my possession a book made of tissue paper, printed in black (with a Chinese inscription on the front page), containing over three hundred designs, which belongs to the box of ‘tangrams,’ which I also own.
Where does the second man get his foot from? ’ —Hamlet, iii. 4. 39. THE CUSHION COVERS. The above represents a square of brocade. A lady wishes to cut it in four pieces so that two pieces will form one perfectly square cushion top, and the remaining two pieces another square cushion top. How is she to do it? Of course, she can only cut along the lines that divide the twenty-five squares, and the pattern must ‘match’ properly without any irregularity whatever in the design of the material. There is only one way of doing it.
What is his shortest route? Could anything be simpler? But the reader will soon find that, however he decides to proceed, the inspector must go over some of the lines more than once. i56 56 07/12/2006 15:28:17 UNICURSAL AND ROUTE PROBLEMS travel more than seventeen miles to inspect every line. There is the little difficulty. How far is he compelled to travel, and which route do you recommend? 60. THE CYCLISTS’ TOUR. Two cyclists were consulting a road map in preparation for a little tour together.