Mathematical writing

Short Excursions

Geometry, probability, games and puzzles, one idea at a time

Chapters
20
Revised

Expository notes, solved puzzles and small computations that do not belong to a longer book, from inversion and the Apollonian gasket to random walks, logic-puzzle solvers and orbits drawn to scale. Each piece stands alone and most are also set as an A4 PDF.

Contents

  1. Geometry
  2. 1Inversion in Geometry
  3. 2The Apollonian Gasket
  4. 3Islamic Geometric Patterns
  5. 4Cozy Circles in Regular Polygons
  6. Probability
  7. 5A Faulty Traffic Signal
  8. 6Expected Distance of a Random Point from the Centre of a Regular Polygon
  9. 7Appeasing the Cherry Blossom Horde
  10. 8Charlotte's New Web
  11. 9Running Total of a Die
  12. 10Knights on a Chessboard
  13. Combinatorics and games
  14. 11Subsets of {1,…,n} with Exactly One Pair of Consecutive Integers
  15. 12One Hat Comes Home

All 20 chapters

Errata

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