By Henry Ernest, Dudeney
For 2 many years, self-taught mathematician Henry E. Dudeney wrote a puzzle web page, "Perplexities," for The Strand Magazine. Martin Gardner, longtime editor of Scientific American's mathematical video games column, hailed Dudeney as "England's maximum maker of puzzles," unsurpassed within the volume and caliber of his innovations. This compilation of Dudeney's long-inaccessible demanding situations attests to the puzzle-maker's present for developing witty and compelling conundrums.
This treasury of interesting puzzles starts off with a variety of arithmetical and algebraical difficulties, together with demanding situations related to funds, time, velocity, and distance. Geometrical difficulties persist with, besides combinatorial and topological difficulties that function magic squares and stars, direction and community puzzles, and map coloring puzzles. the gathering concludes with a chain of video game, domino, fit, and unclassified puzzles. strategies for all 536 difficulties are integrated, and fascinating drawings brighten up the booklet.
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Additional info for 536 Puzzles and Curious Problems
142. CURIOUS MULTIPLICAND Readers who remember the Ribbon Problem No. 83 in The Canterbury Puzzles, may be glad to have this slightly easier variation of it: Skeleton Puzzles 43 What number is it that can be multiplied by I, 2, 3, 4, 5, or 6 and no new figures appear in the result? 143. ADDING THEIR CUBES The numbers 407 and 370 have this peculiarity, that they exactly equal the sum of the cubes of their digits. Thus the cube of 4 is 64, the cube of 0 is 0, and the cube of7 is 343. Add together 64, 0, and 343, and you get 407.
ROOT EXTRACTION In a conversation I had with Professor Simon Greathead, the eminent mathematician, now living in retirement at Colney Hatch, * I had occasion to refer to the extraction of the cube root. "Ah," said the professor, "it is astounding what ignorance prevails on that elementary matter! The world seems to have made little advance in the process of the extraction of roots since the primitive method of employing spades, forks, and trowels for the purpose. For example, nobody but myself has ever discovered the simple fact that, to extract the cube root of a number, all you have to do is to add together the digits.
Can you discover how many men there were in every brigade? 166. A CRITICAL VOTE A meeting of the Amalgamated Society of Itinerant Askers (better known as the "Tramps' Union") was held to decide whether the members should strike for reduced hours and larger donations. It was arranged that during the count those in favor of the motion should remain standing, and those who voted against should sit down. " "Then perhaps those who wanted to sit down but couldn't will hold up their hands .... ) How many members voted at that meeting?