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040 _a WSPC
_b eng
_c WSPC
010 _z 2020042634
020 _a9789811219474
_q(ebook)
020 _z9789811220081
_q(hbk.)
020 _z9789811219467
_q(pbk.)
050 0 4 _aQA491
_b.M484 2020
072 7 _aCRA
_x023000
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072 7 _aMAT
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072 7 _aEDU
_x029010
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082 0 4 _a736/.982
_223
100 1 _aMeyer, Jeanine.
_921227
245 1 0 _aMore origami with explanations
_h[electronic resource] :
_bfun with folding and math /
_cby Jeanine Meyer, Takashi Mukoda.
260 _aSingapore :
_bWorld Scientific,
_c2020.
300 _a1 online resource (xiii, 259 p.)
500 _aIncludes index.
505 0 _aKissy fish. 3 ways to determine thirds. Informal s method using property of thirds. Improving estimate using standard reduction of error term (iteration, powers of 2). Analytic geometry : define coordinate system and solve equations. Reprise on sinks, reverse folds and squash folds, pointing out the common feature of changing the sense of some folds (spatial relations)-- Tetrahedrons. Prove strip method produces equilateral triangles using geometry. Introduction to platonic solids: Classic 3D geometry. Introduction to tessellations with proof that only certain regular polygons tessellate (tile the plane) -- Heart locket. Construction of marks at 3/8 and 5/8 (or 1/8 and 7/8) positions : fractions. Examination of construction, 2D to 3D : spatial relations. One-dollar shirt and dollar bill heart. One-dollar shirt construction : spatial relations. Broken heart : bisecting angles : geometry. Broken heart : examining the mechanism : spatial relations. Broken heart: Calculating certain dimensions : algebra, trigonometry. Compare size of the 2 heart configurations : geometry -- Dollar bill rosette. Iteration to improve estimate: Similar to a method for thirds, property of 11. Identified category of primes by writing a program: Full reptend primes base 2. Prove equivalence of folding property to a category of primes: Algebraic manipulation and mathematical induction. Exercise : compare to jackson 16 panel version -- Masu box and shen basket. Rigidity from layers. Final dimensions using crease pattern and geometry. Directions to making lid, pointing out how it does not scale to size of paper. Brief description of origami mathematics flat foldability conditions and how one condition is violated at one point in folding shen basket. Peek into crease pattern origami (reference to robert lang's treemaker) -- Ninja star and stackable cubes. Number of layers in ninja star and in cube. Handedness : geometry, transformations and spatial relations. Comparisons to other modular models. Stack of cubes as 2nd order modular -- One-snip 5-pointed star and one-snip square letter o. How to produce square letter 0: Spatial relations, patterns. Brief mention of theorem (2 approaches) on generality of one-snip for polygons, an acclaimed example of origami mathematics.
520 _a"Origami, paper folding, originated hundreds of years ago in China and Japan, with independent discovery across the world. Today people do origami, create new models, share their work, and discover mathematical principles. This book continues the approach of Origami with Explanations; but is independent, with basic instructions repeated. Carefully written instructions, using photos and diagrams, will turn you into a successful folder and stimulate your own creativity. The models in this book include action models, money folds, beautiful and useful containers, and modular origami. Mathematics topics touched on include improving estimates, tessellations, mathematical induction, flat-foldability, and fold-and-cut. The Explanations section provide insight into the origami and introduce or re-introduce you to basic and advanced subjects in mathematics"--Publisher's website.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader.
650 0 _aOrigami.
_914835
650 0 _aOrigami
_xMathematics.
_921228
650 0 _aOrigami in education.
_921229
650 0 _aMathematics
_xStudy and teaching.
_913415
655 0 _aElectronic books.
_93294
700 1 _aMukoda, Takashi.
_921230
856 4 0 _uhttps://www.worldscientific.com/worldscibooks/10.1142/11803#t=toc
_zAccess to full text is restricted to subscribers.
942 _cEBK
999 _c72786
_d72786