Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections! PDF Download
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Author: Frederickson Greg N
Publisher: World Scientific
ISBN: 981322049X
Category : Mathematics
Languages : en
Pages : 432
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Book Description
A 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! Contents: The Rich History of Geometric DissectionsThe "Wild Adventures" of Ernest FreeseTechniques, Special Properties, HardnessFreese's Title Page and IndexIsosceles TrianglesEquilateral TrianglesSquares, Crosses, RectanglesPentagons and PentagramsHexagons and HexagramsOctagons and OctagramsEnneagons (Nonagons)Decagons and DecagramsDodecagons, DodecagramsMany-sided PolygonsMiscellaneous FiguresMore CrossesMore Miscellaneous FiguresMixed Polygons to OneSpecial Triangles Readership: General public and math puzzle enthusiasts. Keywords: Geometric Dissections;Hinged Dissections;Ernest Irving Freese;Henry E Dudeney;Mathematical Recreations;Polygons;Stars;Tessellations;Rhombuses;SymmetryReview: Key Features: The book is a feast for the eyes: Freese's manuscript displays exquisite drawings in an architect's style, while the commentary presents outstandinging dissections that illustrate a brilliant visual one-ups-man-shipThe book stretches the boundaries of dissection: Freese's manuscript explores a remarkable variety of here-to-fore unseen geometric dissections, including those that demonstrate nontrivial numerical identities. The commentary pushes his exploratory use of hinges in extraordinary ways, and drastically improves on his pioneering dissections of many-sided polygons to squaresThe book provides not only historical perspectives on geometric dissection, but also summarizes current mathematical characterizations of the hardness of minimizing the number of pieces in a dissection and of verifying motion planning of hinged dissections
Author: Frederickson Greg N
Publisher: World Scientific
ISBN: 981322049X
Category : Mathematics
Languages : en
Pages : 432
Get Book
Book Description
A 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! Contents: The Rich History of Geometric DissectionsThe "Wild Adventures" of Ernest FreeseTechniques, Special Properties, HardnessFreese's Title Page and IndexIsosceles TrianglesEquilateral TrianglesSquares, Crosses, RectanglesPentagons and PentagramsHexagons and HexagramsOctagons and OctagramsEnneagons (Nonagons)Decagons and DecagramsDodecagons, DodecagramsMany-sided PolygonsMiscellaneous FiguresMore CrossesMore Miscellaneous FiguresMixed Polygons to OneSpecial Triangles Readership: General public and math puzzle enthusiasts. Keywords: Geometric Dissections;Hinged Dissections;Ernest Irving Freese;Henry E Dudeney;Mathematical Recreations;Polygons;Stars;Tessellations;Rhombuses;SymmetryReview: Key Features: The book is a feast for the eyes: Freese's manuscript displays exquisite drawings in an architect's style, while the commentary presents outstandinging dissections that illustrate a brilliant visual one-ups-man-shipThe book stretches the boundaries of dissection: Freese's manuscript explores a remarkable variety of here-to-fore unseen geometric dissections, including those that demonstrate nontrivial numerical identities. The commentary pushes his exploratory use of hinges in extraordinary ways, and drastically improves on his pioneering dissections of many-sided polygons to squaresThe book provides not only historical perspectives on geometric dissection, but also summarizes current mathematical characterizations of the hardness of minimizing the number of pieces in a dissection and of verifying motion planning of hinged dissections
Author: Greg Norman Frederickson
Publisher:
ISBN: 9789813220485
Category : Geometric dissections
Languages : en
Pages : 429
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Book Description
"A 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.--
Author: Harry Lindgren
Publisher:
ISBN:
Category : Art
Languages : en
Pages : 220
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Book Description
Author: Greg N. Frederickson
Publisher: Cambridge University Press
ISBN: 9780521525824
Category : Mathematics
Languages : en
Pages : 334
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Book Description
A comprehensive, beautifully illustrated survey accessible to anyone familiar with high school geometry.
Author: Pepe Karmel
Publisher: The Museum of Modern Art
ISBN: 9780870700378
Category : Art
Languages : en
Pages : 288
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Book Description
Published to accompany the exhibition Jackson Pollock held the Museum of Modern Art, New York, from 1 November 1998 to 2 February 1999.
Author: Jenny Woolf
Publisher: Macmillan + ORM
ISBN: 1429968397
Category : Biography & Autobiography
Languages : en
Pages : 338
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Book Description
A new biography of Lewis Carroll, just in time for the release of Tim Burton's all-star Alice in Wonderland Lewis Carroll was brilliant, secretive and self contradictory. He reveled in double meanings and puzzles, in his fiction and his life. Jenny Woolf's The Mystery of Lewis Carroll shines a new light on the creator of Alice In Wonderland and brings to life this fascinating, but sometimes exasperating human being whom some have tried to hide. Using rarely-seen and recently discovered sources, such as Carroll's accounts ledger and unpublished correspondence with the "real" Alice's family, Woolf sets Lewis Carroll firmly in the context of the English Victorian age and answers many intriguing questions about the man who wrote the Alice books, such as: • Was it Alice or her older sister that caused him to break with the Liddell family? • How true is the gossip about pedophilia and certain adult women that followed him? • How true is the "romantic secret" which many think ruined Carroll's personal life? • Who caused Carroll major financial trouble and why did Carroll successfully conceal that person's identity and actions? Woolf answers these and other questions to bring readers yet another look at one of the most elusive English writers the world has known.
Author: Rosalind E. Krauss
Publisher: MIT Press
ISBN: 9780262611053
Category : Design
Languages : en
Pages : 374
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Book Description
The Optical Unconscious is a pointed protest against the official story of modernism and against the critical tradition that attempted to define modern art according to certain sacred commandments and self-fulfilling truths. The account of modernism presented here challenges the vaunted principle of "vision itself." And it is a very different story than we have ever read, not only because its insurgent plot and characters rise from below the calm surface of the known and law-like field of modernist painting, but because the voice is unlike anything we have heard before. Just as the artists of the optical unconscious assaulted the idea of autonomy and visual mastery, Rosalind Krauss abandons the historian's voice of objective detachment and forges a new style of writing in this book: art history that insinuates diary and art theory, and that has the gait and tone of fiction. The Optical Unconscious will be deeply vexing to modernism's standard-bearers, and to readers who have accepted the foundational principles on which their aesthetic is based. Krauss also gives us the story that Alfred Barr, Meyer Shapiro, and Clement Greenberg repressed, the story of a small, disparate group of artists who defied modernism's most cherished self-descriptions, giving rise to an unruly, disruptive force that persistently haunted the field of modernism from the 1920s to the 1950s and continues to disrupt it today. In order to understand why modernism had to repress the optical unconscious, Krauss eavesdrops on Roger Fry in the salons of Bloomsbury, and spies on the toddler John Ruskin as he amuses himself with the patterns of a rug; we find her in the living room of Clement Greenberg as he complains about "smart Jewish girls with their typewriters" in the 1960s, and in colloquy with Michael Fried about Frank Stella's love of baseball. Along the way, there are also narrative encounters with Freud, Jacques Lacan, Georges Bataille, Roger Caillois, Gilles Deleuze, and Jean-François Lyotard. To embody this optical unconscious, Krauss turns to the pages of Max Ernst's collage novels, to Marcel Duchamp's hypnotic Rotoreliefs, to Eva Hesse's luminous sculptures, and to Cy Twombly's, Andy Warhol's, and Robert Morris's scandalous decoding of Jackson Pollock's drip pictures as "Anti-Form." These artists introduced a new set of values into the field of twentieth-century art, offering ready-made images of obsessional fantasy in place of modernism's intentionality and unexamined compulsions.
Author: Harry Lindgren
Publisher:
ISBN:
Category : Geometric dissections
Languages : en
Pages : 184
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Book Description
Author: Institute of Medicine
Publisher: National Academies Press
ISBN: 0309072808
Category : Medical
Languages : en
Pages : 360
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Book Description
Second in a series of publications from the Institute of Medicine's Quality of Health Care in America project Today's health care providers have more research findings and more technology available to them than ever before. Yet recent reports have raised serious doubts about the quality of health care in America. Crossing the Quality Chasm makes an urgent call for fundamental change to close the quality gap. This book recommends a sweeping redesign of the American health care system and provides overarching principles for specific direction for policymakers, health care leaders, clinicians, regulators, purchasers, and others. In this comprehensive volume the committee offers: A set of performance expectations for the 21st century health care system. A set of 10 new rules to guide patient-clinician relationships. A suggested organizing framework to better align the incentives inherent in payment and accountability with improvements in quality. Key steps to promote evidence-based practice and strengthen clinical information systems. Analyzing health care organizations as complex systems, Crossing the Quality Chasm also documents the causes of the quality gap, identifies current practices that impede quality care, and explores how systems approaches can be used to implement change.
Author: ARTHUR SYMONS
Publisher: BoD – Books on Demand
ISBN: 9361154850
Category : Literary Collections
Languages : en
Pages : 180
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Book Description
Figures of Several Centuries" is a collection of essays written by Arthur Symons, a British poet, critic, and essayist. The book features Symons' astute observations and critiques of a wide range of literary and artistic luminaries over several centuries. Known for his contributions to English Decadent poetry and affiliated with the Symbolist movement, Symons examines the lives and works of a variety of characters in the arts and literature. The essays address a wide range of subjects, such as debates on poets, authors, and artists from many eras of history. As a literary critic, Symons analyses each person with a lyrical sensibility and a profound respect for art. In addition to providing historical context, the collection highlights the importance of several creative figures over time in various historical eras. With its insight into the rich fabric of artistic expression across the centuries, "Figures of Several Centuries" advances knowledge of the relationship between art, literature, and culture.
