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A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry)
This colorful, visual introduction to the fourth dimension provides a clear explanation of the concepts and numerous illustrations. It is written with a touch of personality that makes this an engaging read instead of a dry math text. The content is very accessible, yet at the same time detailed enough to satisfy the interests of advanced readers. This book is devoted to geometry; there are no spiritual or religious components to this book. May you enjoy your journey into the fascinating world of the fourth dimension!Contents:IntroductionChapter 0: What Is a Dimension?Chapter 1: Dimensions Zero and OneChapter 2: The Second DimensionChapter 3: Three-Dimensional SpaceChapter 4: A Fourth Dimension of SpaceChapter 5: Tesseracts and HypercubesChapter 6: Hypercube PatternsChapter 7: Planes and HyperplanesChapter 8: Tesseracts in PerspectiveChapter 9: Rotations in 4D SpaceChapter 10: Unfolding a TesseractChapter 11: Cross Sections of a TesseractChapter 12: Living in a 4D HouseFurther ReadingGlossaryAbout the AuthorPut on your spacesuit, strap on your safety harness, swallow your anti-nausea medicine, and enjoy this journey into a fourth dimension of space! 10D, 9D, 8D, 7D, 6D, 5D, 4D, 3D, 2D, 1D, 0D. Blast off!
- GenresMathematics
94 pages, Kindle Edition
First published December 31, 2012
41 people are currently reading
42 people want to read
About the author
Chris McMullen
181 books323 followersDr. Chris McMullen has over 20 years of experience teaching university physics in California, Oklahoma, Pennsylvania, and Louisiana. Dr. McMullen is also an author of math and science books. Whether in the classroom or as a writer, Dr. McMullen loves sharing knowledge and the art of motivating and engaging students.
Chris McMullen earned his Ph.D. in phenomenological high-energy physics (particle physics) from Oklahoma State University in 2002. Originally from California, Dr. McMullen earned his Master's degree from California State University, Northridge, where his thesis was in the field of electron spin resonance.
Dr. McMullen is well-known for:
• engaging students in challenging ideas through creativity
• breaking difficult problems down into manageable steps
• providing clear and convincing explanations to subtle issues
• his mastery of physics and strong background in mathematics
• helping students become more fluent in practical math skills
As a physics teacher, Dr. McMullen observed that many students lack fluency in fundamental math skills. In an effort to help students of all ages and levels master basic math skills, he published a series of math workbooks on arithmetic, fractions, algebra, geometry, trigonometry, and calculus called the Improve Your Math Fluency Series. Dr. McMullen has also published a variety of science books, including introductions to basic astronomy and chemistry concepts in addition to physics workbooks.
Dr. McMullen is very passionate about teaching. Many students and observers have been impressed with the transformation that occurs when he walks into the classroom, and the interactive engaged discussions that he leads during class time. Dr. McMullen is well-known for drawing monkeys and using them in his physics examples and problems, using his creativity to inspire students. A stressed-out student is likely to be told to throw some bananas at monkeys, smile, and think happy physics thoughts.
Dr. McMullen first published The Visual Guide to Extra Dimensions, Volumes 1 and 2, to share his passion for the geometry and physics of the fourth dimension. Dr. McMullen has coauthored a half-dozen articles on current and future collider searches for large extra dimensions.
In addition to writing and teaching, Dr. McMullen enjoys Scrabble, golf, and chess.
Chris McMullen earned his Ph.D. in phenomenological high-energy physics (particle physics) from Oklahoma State University in 2002. Originally from California, Dr. McMullen earned his Master's degree from California State University, Northridge, where his thesis was in the field of electron spin resonance.
Dr. McMullen is well-known for:
• engaging students in challenging ideas through creativity
• breaking difficult problems down into manageable steps
• providing clear and convincing explanations to subtle issues
• his mastery of physics and strong background in mathematics
• helping students become more fluent in practical math skills
As a physics teacher, Dr. McMullen observed that many students lack fluency in fundamental math skills. In an effort to help students of all ages and levels master basic math skills, he published a series of math workbooks on arithmetic, fractions, algebra, geometry, trigonometry, and calculus called the Improve Your Math Fluency Series. Dr. McMullen has also published a variety of science books, including introductions to basic astronomy and chemistry concepts in addition to physics workbooks.
Dr. McMullen is very passionate about teaching. Many students and observers have been impressed with the transformation that occurs when he walks into the classroom, and the interactive engaged discussions that he leads during class time. Dr. McMullen is well-known for drawing monkeys and using them in his physics examples and problems, using his creativity to inspire students. A stressed-out student is likely to be told to throw some bananas at monkeys, smile, and think happy physics thoughts.
Dr. McMullen first published The Visual Guide to Extra Dimensions, Volumes 1 and 2, to share his passion for the geometry and physics of the fourth dimension. Dr. McMullen has coauthored a half-dozen articles on current and future collider searches for large extra dimensions.
In addition to writing and teaching, Dr. McMullen enjoys Scrabble, golf, and chess.
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Displaying 1 - 2 of 2 reviews
November 1, 2021
All the hyper-mokeys metaphors confused me much more than they helped me, but other than that this was a great book to help me visualize 4D objects and their structures. Highly recommend even to someone who is curious but doesn't have a math background, no formulas needed, only your imagination.
February 25, 2018
Brain expanding
This book explains the concept of a fourth dimension really well, and in a way that makes me want to keep reading on. It's a slow read because I often had to stop and think deeply about a new concept or a puzzling image. It's unbelievable that so much time can be spent discussing just one shape.
At first I a little put off by the childish analogies, but by the end they had become familiar jokes that evoked little giggles and were a break from what would have been monotonous reading.
Thoroughly enjoyed!
This book explains the concept of a fourth dimension really well, and in a way that makes me want to keep reading on. It's a slow read because I often had to stop and think deeply about a new concept or a puzzling image. It's unbelievable that so much time can be spent discussing just one shape.
At first I a little put off by the childish analogies, but by the end they had become familiar jokes that evoked little giggles and were a break from what would have been monotonous reading.
Thoroughly enjoyed!
Displaying 1 - 2 of 2 reviews