Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections!
'Everyone interested in geometric dissections, and this kind of puzzles, either mathematically or recreationally will embrace this publication. But also the readers interested in the history and certainly those who became curious about this mystery man and his manuscript, after reading Frederickson's 2006 book, will be fully satisfied with this respectful reproduction eventually made available for a general public.'
European Mathematical Society'Ernest Irving Freese's Geometric Transformations does not just uncover a mathematical gem. It is also a piece of art and a mind-puzzling set of ingenious dissections done by a master of architectural drawings and amateur mathematician. It is a practical book that shows the beauty of dissection and how we can get from a polygon to another by cutting it to pieces and recollect them in some special way. The book is written in a very elegant style, and nicely presented. Freese's manuscript was photographed and wasn't altered in any way — this preserved its beauty. Freese's drawing shows ingenuity and it shows how meticulous he was. For those people who are interested in geometry or in geometric dissections and for those who admire puzzles and recreational mathematics this book is a must.' (See Full Review)
MAA ReviewsA geometric dissection is a cutting of a geometric figure (such as a regular polygon, or a star, or a cross) into pieces that we can rearrange to form another geometric figure. The best dissections are beautiful and possess economy (few pieces), symmetry, or hingeability. They are often challenging to discover.Ernest Irving Freese was an architect who lived and worked in Los Angeles until his death in 1957. Shortly before he passed away, he completed a 200-page manuscript on geometric dissection, the first book-length treatment on that subject. Freese included elegant drawings of dissections that were both original and clever. After his death the manuscript lay forgotten in his former house until Greg Frederickson set in motion its recovery in 2003. What a treat that it was rescued!Frederickson's book sketches a history of geometric dissections and a biography of Freese, followed by a refurbished copy of Freese's manuscript interleaved with a commentary that highlights Freese's major contributions as well as singular improvements made by Frederickson and others after Freese.This book introduces Freese and his creations to math puzzle enthusiasts, by way of his engaging manuscript, his wild adventures, and his lovely dissections. Frederickson also includes remarkable designs that improve on Freese's work, and packs this book with nifty illustrations and tidbits that may well leave you speechless!
1125902636
Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections!
'Everyone interested in geometric dissections, and this kind of puzzles, either mathematically or recreationally will embrace this publication. But also the readers interested in the history and certainly those who became curious about this mystery man and his manuscript, after reading Frederickson's 2006 book, will be fully satisfied with this respectful reproduction eventually made available for a general public.'
European Mathematical Society'Ernest Irving Freese's Geometric Transformations does not just uncover a mathematical gem. It is also a piece of art and a mind-puzzling set of ingenious dissections done by a master of architectural drawings and amateur mathematician. It is a practical book that shows the beauty of dissection and how we can get from a polygon to another by cutting it to pieces and recollect them in some special way. The book is written in a very elegant style, and nicely presented. Freese's manuscript was photographed and wasn't altered in any way — this preserved its beauty. Freese's drawing shows ingenuity and it shows how meticulous he was. For those people who are interested in geometry or in geometric dissections and for those who admire puzzles and recreational mathematics this book is a must.' (See Full Review)
MAA ReviewsA geometric dissection is a cutting of a geometric figure (such as a regular polygon, or a star, or a cross) into pieces that we can rearrange to form another geometric figure. The best dissections are beautiful and possess economy (few pieces), symmetry, or hingeability. They are often challenging to discover.Ernest Irving Freese was an architect who lived and worked in Los Angeles until his death in 1957. Shortly before he passed away, he completed a 200-page manuscript on geometric dissection, the first book-length treatment on that subject. Freese included elegant drawings of dissections that were both original and clever. After his death the manuscript lay forgotten in his former house until Greg Frederickson set in motion its recovery in 2003. What a treat that it was rescued!Frederickson's book sketches a history of geometric dissections and a biography of Freese, followed by a refurbished copy of Freese's manuscript interleaved with a commentary that highlights Freese's major contributions as well as singular improvements made by Frederickson and others after Freese.This book introduces Freese and his creations to math puzzle enthusiasts, by way of his engaging manuscript, his wild adventures, and his lovely dissections. Frederickson also includes remarkable designs that improve on Freese's work, and packs this book with nifty illustrations and tidbits that may well leave you speechless!
38.0 In Stock
Ernest Irving Freese's

Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections!

by Greg N Frederickson
Ernest Irving Freese's

Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections!

by Greg N Frederickson

Paperback

$38.00 
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Overview

'Everyone interested in geometric dissections, and this kind of puzzles, either mathematically or recreationally will embrace this publication. But also the readers interested in the history and certainly those who became curious about this mystery man and his manuscript, after reading Frederickson's 2006 book, will be fully satisfied with this respectful reproduction eventually made available for a general public.'
European Mathematical Society'Ernest Irving Freese's Geometric Transformations does not just uncover a mathematical gem. It is also a piece of art and a mind-puzzling set of ingenious dissections done by a master of architectural drawings and amateur mathematician. It is a practical book that shows the beauty of dissection and how we can get from a polygon to another by cutting it to pieces and recollect them in some special way. The book is written in a very elegant style, and nicely presented. Freese's manuscript was photographed and wasn't altered in any way — this preserved its beauty. Freese's drawing shows ingenuity and it shows how meticulous he was. For those people who are interested in geometry or in geometric dissections and for those who admire puzzles and recreational mathematics this book is a must.' (See Full Review)
MAA ReviewsA geometric dissection is a cutting of a geometric figure (such as a regular polygon, or a star, or a cross) into pieces that we can rearrange to form another geometric figure. The best dissections are beautiful and possess economy (few pieces), symmetry, or hingeability. They are often challenging to discover.Ernest Irving Freese was an architect who lived and worked in Los Angeles until his death in 1957. Shortly before he passed away, he completed a 200-page manuscript on geometric dissection, the first book-length treatment on that subject. Freese included elegant drawings of dissections that were both original and clever. After his death the manuscript lay forgotten in his former house until Greg Frederickson set in motion its recovery in 2003. What a treat that it was rescued!Frederickson's book sketches a history of geometric dissections and a biography of Freese, followed by a refurbished copy of Freese's manuscript interleaved with a commentary that highlights Freese's major contributions as well as singular improvements made by Frederickson and others after Freese.This book introduces Freese and his creations to math puzzle enthusiasts, by way of his engaging manuscript, his wild adventures, and his lovely dissections. Frederickson also includes remarkable designs that improve on Freese's work, and packs this book with nifty illustrations and tidbits that may well leave you speechless!

Product Details

ISBN-13: 9789813220478
Publisher: World Scientific Publishing Company, Incorporated
Publication date: 01/17/2018
Pages: 432
Product dimensions: 8.50(w) x 10.90(h) x 0.80(d)

Table of Contents

Preface vii

1 The Rich History of Geometric Dissections 1

2 The "Wild Adventures" of Ernest Irving Freese 11

3 Techniques, Special Properties, Hardness 31

4 Freese's Title Page and Descriptive Index 35

5 Isosceles Triangles (Freese's Plates 1-7) 37

6 Equilateral Triangles (Plates 8-26) 41

7 Squares, Crosses, Rectangles (Plates 27-46) 53

8 Pentagons and Pentagrams (Plates 47-63) 67

9 Hexagons and Hexagrams (Plates 64-88) 85

10 Octagons and Octagrams (Plates 89-98) 105

11 Enneagons (Nonagons) (Plates 99-103) 113

12 Decagons and Decagrams (Plates 104-111) 117

13 Dodecagons and Dodecagrams (Plates 112-133) 125

14 Many-sided Polygons (Plates 134-141) 137

15 Miscellaneous Figures (Plates 142-153) 147

16 More Crosses (Plates 154-160) 155

17 More Miscellaneous Figures (Plates 161-178) 163

18 Mixed Polygons to One (Plates 179-188) 175

19 Special Triangles (Plates 189-200) 181

20 From the Past, Into the Future 189

Bibliography 191

Index 195

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