Four-Dimensional Paper Constructions After Möbius, Klein and Boy

Four-Dimensional Paper Constructions After Möbius, Klein and Boy

by Eiji Ogasa
Epub (Kobo), Epub (Adobe)
Publication Date: 05/03/2025

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  $95.99

Explore four-dimensional paper constructions inspired by the work of great mathematicians like Möbius, Klein, Boy, Hopf, and others. These creations will help you visualize four-dimensional space and beyond, transporting you to higher-dimensional spaces. This book is designed to solidify your foundations in various areas of mathematics and physics, with a particular focus on topology.


If you are familiar with higher-dimensional spaces from loving sci-fi stories, you may find the four-dimensional illustrations in this book especially intuitive. Imagine starting on Earth and traveling straight up into the universe — where would you end up? Perhaps you would travel in one direction only to eventually return to your starting point. Can you imagine what happens during the course of this trip? By engaging with these four-dimensional paper constructions, you will gain a deeper understanding of this fascinating journey.


Contents:



  • Introduction: If You Start on Earth and Travel Straight Up into the Universe, Where Will You End Up?

  • About the Author

  • Acknowledgements

  • Prologue: Time Machine and Teleportation

  • Seeing Four-Dimensional Space

  • Möbius Band

  • The Torus

  • The Hopf Link

  • The Klein Bottle

  • Möbius Band + Möbius Band = Klein Bottle

  • Boy Surface

  • Manifolds

  • Movies

  • Further Reading

  • Index

  • Epilogue: King of Inventors in the 27th Century


Readership: Freshmen and sophomores in science, advanced high school students with an interest in four dimensions, and others with similar mathematical background. Additionally, general readers interested in four-dimensional concepts as seen in sci-fi books and movies.

ISBN:
9789819801817
9789819801817
Category:
Algebraic geometry
Format:
Epub (Kobo), Epub (Adobe)
Publication Date:
05-03-2025
Language:
English
Publisher:
World Scientific Publishing Company

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