Dudeney's Mathematical Perplexities I

Henry E. Dudeney (1857-1930) was, according to pure mathematician G. H. Hardy (1877-1947), one of England’s “better makers of puzzles”. His “Perplexities” column, a regular feature in The Strand Magazine between 1910 and 1930, not only gave recreational mathematicians what they wanted – an “intellectual ‘kick’” – but also occasioned the odd sparkling display of intellect from professionals. Dudeney’s geometrical dissection puzzles are a case in point, though his ingenious solutions sometimes betray a lack of clarity about the difference between a mathematical proof and an empirical procedure. His equilateral triangle to square dissection and the equally stunning regular octagon to square dissection sent to him by Hardy’s colleague G. T. Bennett (1868-1943) are both here demonstrated visually – process and result an evident unity.