Book contents
- Frontmatter
- Contents
- Preface
- 1 “Dat Pussle”
- 2 Our Geometric Universe
- 3 Fearful Symmetry
- 4 It's Hip to Be a Square
- 5 Triangles and Friends
- 6 All Polygons Created Equal
- 7 First Steps
- 8 Step Right Up!
- 9 Watch Your Step!
- 10 Just Tessellating
- 11 Plain Out-Stripped
- 12 Strips Teased
- 13 Tessellations Completed
- 14 Maltese Crosses
- 15 Curves Ahead
- 16 Stardom
- 17 Farewell, My Lindgren
- 18 The New Breed
- 19 When Polygons Aren't Regular
- 20 On to Solids
- 21 Cubes Rationalized
- 22 Prisms Reformed
- 23 Cheated, Bamboozled, and Hornswoggled
- 24 Solutions to All Our Problems
- Afterword
- Bibliography
- Index of Dissections
- General Index
14 - Maltese Crosses
Published online by Cambridge University Press: 05 August 2012
- Frontmatter
- Contents
- Preface
- 1 “Dat Pussle”
- 2 Our Geometric Universe
- 3 Fearful Symmetry
- 4 It's Hip to Be a Square
- 5 Triangles and Friends
- 6 All Polygons Created Equal
- 7 First Steps
- 8 Step Right Up!
- 9 Watch Your Step!
- 10 Just Tessellating
- 11 Plain Out-Stripped
- 12 Strips Teased
- 13 Tessellations Completed
- 14 Maltese Crosses
- 15 Curves Ahead
- 16 Stardom
- 17 Farewell, My Lindgren
- 18 The New Breed
- 19 When Polygons Aren't Regular
- 20 On to Solids
- 21 Cubes Rationalized
- 22 Prisms Reformed
- 23 Cheated, Bamboozled, and Hornswoggled
- 24 Solutions to All Our Problems
- Afterword
- Bibliography
- Index of Dissections
- General Index
Summary
The Great War had ended recently, and images of soldiers, slaughter, and valor were still fresh in people's minds. For his “Perplexities” column in the April 1920 issue of The Strand Magazine, Henry E. Dudeney chose the form of one medal, the Cross of Victoria, or Maltese Cross, and posed the puzzle of dissecting it to a square in the fewest possible number of pieces. His solution, requiring thirteen pieces, followed in the May issue. As memory of the war receded and wounds healed, the focus of everyday life moved on. And when, in 1926, collected puzzles from “Perplexities” appeared in Modern Puzzles and How to Solve Them, a change had also occurred in the Maltese Cross puzzle. In place of the original solution was a beautiful new solution that used only seven pieces! The remarkable dissection was attributed by Dudeney to a Mr. A. E. Hill.
In designing this pretty puzzle, Dudeney fixed the dimensions of the cross to conform to the 5×5 grid as shown in Figure 14.1. A. E. Hill's startling solution, given in (Dudeney 1926a), is reproduced in Figure 14.2. Most attractive, it possesses 2- fold rotational symmetry. However, a certain degree of mystery has accompanied this dissection. First, no satisfactory explanation of the dissection method has been given. Second, no information seems to be available on who A. E. Hill was. Although I have had no luck in identifying Mr. Hill, I have found a reasonable explanation for the dissection method.
- Type
- Chapter
- Information
- DissectionsPlane and Fancy, pp. 157 - 162Publisher: Cambridge University PressPrint publication year: 1997