Anton Petrunin
Puzzles in Geometry that I know and love

About the Book

This book contains a collection of problems in geometry. Every problem is presented along with a short, elegant solution.  

As the author says, “I am collecting these problems for fun, but they might be used to improve problem-solving skills in geometry.”

About the Author

Anton Petrunin is a Professor of Mathematics at The Pennsylvania State University, University Park, PA.


The genre of this book is unusual: it is a collection of carefully selected problems in modern geometry, each having an elegant solution, usually based on a single non-trivial idea. The problems are supplied with sketches of solutions (called “semisolutions”) and comprehensive references to the literature: the bibliography comprises about 300 items. Arguably, many of these solutions qualify for “The Book”.

The choice of the problems reflects the (very good) mathematical taste of the author and his research interests, that are quite broad. Many problems were suggested by users of MathOverflow, and the book is a perfect representative of the spirit of this (almost anti-social) network.

Sergei Tabachnikov – The Pennsylvania State University, University Park, PA 

Managing Editors

  • Colin Adams
  • Eric Friedlander
  • Sergei Tabachnikov

Editorial Board

  • George Andrews
  • Colin Adams
  • Eric Friedlander
  • Robert Ghrist
  • Joel Hass
  • Robion Kirby
  • Alex Kontorovich
  • Sergei Tabachnikov

AMR Research Monographs
Volume 2

ISBN: 978-1-959384-01-4


Books in the AMR Book Series are available for download without charge.  To download a copy, click on the cover image of the book, or on the download button above.


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Author's Page for this book

You can see corrections, updates and new problems  at the author’s webpage for this book.