It takes the average reader 7 hours and 15 minutes to read Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections! by Frederickson Greg N
Assuming a reading speed of 250 words per minute. Learn more
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
Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections! by Frederickson Greg N is 432 pages long, and a total of 108,864 words.
This makes it 146% the length of the average book. It also has 133% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 9 hours and 54 minutes to read Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections! aloud.
Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections! is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections! by Frederickson Greg N is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.
To buy Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections! by Frederickson Greg N on Amazon click the button below.
Buy Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections! on Amazon