This book explores how mathematics appears in everyday life. It presents math in a fun and beautiful way using knowledge at the junior high and high school level. It is written for general readers, not for experts. The book avoids difficult math and instead focuses on how new ways of thinking and careful observation can reveal interesting math ideas. It is divided into 33 topics. These include familiar recreational math like tournament games, magic squares, and math tricks, as well as unique ideas like the geometry of origami and toy train tracks. Some of the topics in this book may be unfamiliar to readers outside Japan, as they are based on things the author has observed in daily life in Japan. However, this is also one of the unique features of the book. It offers readers a glimpse into everyday life in Japan. The goal is to help readers feel closer to math, rather than to provide deep academic content.
Features
Easy to understand with junior high or high school level math knowledge.
Introduces math found in real life, like origami.
Includes many topics based on the authors popular social media posts (over 23,000 followers on X).
Connects math topics with hands-on activities and experiences.
Helps readers see the world in a new way through a "mathematical way of thinking".
Focuses on intuitive and visual understanding, not difficult formulas or theories.
Provide links (with QR codes) to puzzle apps developed by the author.
Foreword Preface Section I TheWonders of Numbers and Shapes Around Us
Chapter 1 Is Paper the Ultimate Strategy in a Rock-Paper-
Scissors Tournament!?
Chapter 2 Math Magic with Tricks and Twists
Chapter 3
The Numbers Around Us: Which Digit is Used the Most?
Chapter 4 Conic Sections
Created by Light
Chapter 5 What Is the True Shape of a Crescent Moon
Chapter
6 An Equation That Draws the Shape of a Pon de Ring Donut
Chapter 7 The
Method is Wrong, but the Result is Correct
Chapter 8 A Mathematical Mystery!
The Collatz Conjecture
Chapter 9 Strange Magic Square
Chapter 10 Rings That
Look Different but Have the Same Volume
Chapter 11 Convex Polygons and Radar
Charts
Chapter 12 What If We Used Dice to Decide How Much New
Years Money to Give?
Chapter 13 Shapes Made with Triangles
Chapter 14
Success Rate of the Kendama Challenge
Chapter 15 Estimating the Dimensions
of a 1-Liter Milk Carton
Chapter 16 Seats on the Shinkansen (Japans bullet
train) Divided into Two and Three Rows Section II Playful Math You Can Touch
and Feel
Chapter 17 Enjoying the Cleanup of Building Blocks
Chapter 18 The
Mysterious Surface Made of Cotton Swabs: A Hyperboloid
Chapter 19 With 30 Toy
Train Tracks, You Can Play for Over 200 Years
Chapter 20 Is It Easy or
Difficult to Make a Plarail Layout That Loops Back to the Start?
Chapter 21
Looking at Pi
Chapter 22 The Tower of Hanoi Algorithm
Chapter 23 Folding
Paper Along Curves Is Fun
Chapter 24 Folding Paper to Reach the Moon
Chapter
25 The Wonder of Repeated Folding
Chapter 26 Modular Origami Balls and
Polyhedral Duals
Chapter 27 Pop-Up Figures
Chapter 28 The Shape of a Peel
Spun from an Apple
Chapter 29 Fractal Figures Drawn by Coloring Grid Cells
Chapter 30 A Rather Casually Made Star Polyhedron
Chapter 31 The Wonder of
Origami Crease Patterns
Chapter 32 How Can We Fit As Much As Possible into an
Envelope?
Chapter 33 Spiral Made from Paper Tape Afterword
Jun Mitani is a professor of Information and Systems at University of Tsukuba, JAPAN. He received his Ph.D. in engineering from the University of Tokyo in 2004. He has been present post since April 2015. His research interests center on computer graphics, particularly geometric modeling techniques and their application to origami design. The origami artworks created by him have features that are three-dimensional shapes with smooth curved surfaces. His main books are 3D Origami Art (2016) and Curved-Folding Origami Design (2019). His unique origami has been well received around the world and he had received invitations to hold workshops and exhibitions in Germany, Switzerland, Italy, Israel and many other countries. His work had inspired the design of the trophy for the Player of the Match winner of each game at the Rugby World Cup 2019. He was appointed as a Japan Cultural Envoy from the Agency for Cultural Affairs and traveled to eight Asian countries to promote cultural exchanges through origami in 2019. In 2024, he was appointed as the official ambassador for the 65th anniversary of Plarail (a model train toy by Takara Tomy).
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