Description
Book SynopsisPresents a collection of 34 curiosities, each a quirky and delightful gem of mathematics and each a shining example of the joy and surprise that mathematics can bring. Intended for the general maths enthusiast, each essay begins with an intriguing puzzle, which either springboards into or unravels to become a wondrous piece of thinking.
Table of Contents
- Dragons and poison
- Folding tetrahedra
- The arbelos
- Averages via distances
- Ramsey theory
- Inner triangles
- Land or water?
- Escape
- Flipping a coin for a year
- Coinciding digits
- Inequalities
- Gauss's shoelace formula
- Subdividing a square into triangles
- Equilateral lattice polygons
- Broken sticks and Viviani's theorem
- Viviani's converse?
- Integer right triangles
- One more question about integer right triangles
- Intersecting circles
- Counting triangular and square numbers
- Balanced sums
- The Prouhet-Thue-Morse sequence
- Some partition numbers
- Ordering colored fractions
- How round is a cube?
- Base and exponent switch
- Associativity and commutativity puzzlers
- Very triangular and very very triangular numbers
- Torus circles
- Trapezoidal numbers
- Square permutations
- Tupper's formula
- Compositional square roots
- Polynomial permutations.
