LEADER 01153nam2-2200385---450- 001 990003378360203316 005 20100406132011.0 010 $a88-14-12616-X 035 $a000337836 035 $aUSA01000337836 035 $a(ALEPH)000337836USA01 035 $a000337836 100 $a20100311d2007----km-y0itay50------ba 101 $aita 102 $aIT 105 $a||||||||001yy 200 1 $a<<1. :>> Magistrati e avvocati dello stato$fa cura di Franco Carinci e Vito Tenore 210 $aMilano$cGiuffrè$d2007 215 $aXXXI, 698 p.$d24 cm 461 1$1001000302690$12001$a<> pubblico impiego non privatizzato 606 0 $aImpiegati pubblici$xLegislazione 676 $a342.45068 702 1$aCARINCI,$bFranco 702 1$aTENORE,$bVito 801 0$aIT$bsalbc$gISBD 912 $a990003378360203316 951 $aXXIV.3.G 86/1$b58821 G.$cXXIV.3.G$d00256466 951 $aVI 352/1$b6836 DIRCE 959 $aBK 969 $aGIU 969 $aDIRCE 979 $aCHIARA$b90$c20100311$lUSA01$h1029 979 $aDIRCE$b90$c20100406$lUSA01$h1320 996 $aMagistrati e avvocati dello stato$91122968 997 $aUNISA LEADER 05371nam 2200661Ia 450 001 9910455519603321 005 20200520144314.0 010 $a981-283-491-5 035 $a(CKB)1000000000765466 035 $a(EBL)1193451 035 $a(SSID)ssj0000519329 035 $a(PQKBManifestationID)12178592 035 $a(PQKBTitleCode)TC0000519329 035 $a(PQKBWorkID)10497091 035 $a(PQKB)10188202 035 $a(MiAaPQ)EBC1193451 035 $a(WSP)00007023 035 $a(Au-PeEL)EBL1193451 035 $a(CaPaEBR)ebr10688032 035 $a(CaONFJC)MIL498376 035 $a(OCoLC)820944619 035 $a(EXLCZ)991000000000765466 100 $a20090202d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOrigamics$b[electronic resource] $emathematical explorations through paper folding /$fKazuo Haga ; edited and translated by Josefina C. Fonacier, Masami Isoda 205 $a[English ed.]. 210 $aHackensack, NJ $cWorld Scientific$dc2008 215 $a1 online resource (152 p.) 300 $aDescription based upon print version of record. 311 $a981-283-490-7 311 $a981-283-489-3 327 $aIntroduction; Until the Publication of the English Edition; Acknowledgments; Preface for the English Edition; Contents; 1. A POINT OPENS THE DOOR TO ORIGAMICS; 1.1 Simple Questions About Origami; 1.2 Constructing a Pythagorean Triangle; 1.3 Dividing a Line Segment into Three Equal Parts Using no Tools; 1.4 Extending Toward a Generalization; 2. NEW FOLDS BRING OUT NEW THEOREMS; 2.1 Trisecting a Line Segment Using Haga's Second Theorem Fold; 2.2 The Position of Point F is Interesting; 2.3 Some Findings Related to Haga's Third Theorem Fold 327 $a3. EXTENSION OF THE HAGA'S THEOREMS TO SILVER RATIO RECTANGLES3.1 Mathematical Adventure by Folding a Copy Paper; 3.2 Mysteries Revealed from Horizontal Folding of Copy Paper; 3.3 Using Standard Copy Paper with Haga's Third Theorem; 4. X-LINES WITH LOTS OF SURPRISES; 4.1 We Begin with an Arbitrary Point; 4.2 Revelations Concerning the Points of Intersection; 4.3 The Center of the Circumcircle!; 4.4 How Does the Vertical Position of the Point of Intersection Vary?; 4.5 Wonders Still Continue; 4.6 Solving the Riddle of; 4.7 Another Wonder; 5. ""INTRASQUARESi? AND i?EXTRASQUARES"" 327 $a5.1 Do Not Fold Exactly into Halves5.2 What Kind of Polygons Can You Get?; 5.3 How do You Get a Triangle or a Quadrilateral?; 5.4 Now to Making a Map; 5.5 This is the i?Scienti c Methodi?; 5.6 Completing the Map; 5.7 We Must Also Make the Map of the Outer Subdivision; 5.8 Let Us Calculate Areas; 6. A PETAL PATTERN FROM HEXAGONS?; 6.1 The Origamics Logo; 6.2 Folding a Piece of Paper by Concentrating the Four Vertices at One Point; 6.3 Remarks on Polygonal Figures of Type n; 6.4 An Approach to the Problem Using Group Study; 6.5 Reducing the Work of Paper Folding; One Eighth of the Square Will Do 327 $a6.6 Why Does the Petal Pattern Appear?6.7 What Are the Areas of the Regions?; 7. HEPTAGON REGIONS EXIST?; 7.1 Review of the Folding Procedure; 7.2 A Heptagon Appears!; 7.3 Experimenting with Rectangles with Different Ratios of Sides; 7.4 Try a Rhombus; 8. A WONDER OF ELEVEN STARS; 8.1 Experimenting with Paper Folding; 8.2 Discovering; 8.3 Proof; 8.4 More Revelations Regarding the Intersections of the Extensions of the Creases; 8.5 Proof of the Observation on the Intersection Points of Extended Edge-to-Line Creases; 8.6 The Joy of Discovering and the Excitement of Further Searching 327 $a9. WHERE TO GO AND WHOM TO MEET9.1 An Origamics Activity as a Game; 9.2 A Scenario: A Princess and Three Knights?; 9.3 The Rule: One Guest at a Time; 9.4 Cases Where no Interview is Possible; 9.5 Mapping the Neighborhood; 9.6 A Flower Pattern or an Insect Pattern; 9.7 A Different Rule: Group Meetings; 9.8 Are There Areas Where a Particular Male can have Exclusive Meetings with the Female?; 9.9 More Meetings through a i?Hidden Doori?; 10. INSPIRATION FROM RECTANGULAR PAPER; 10.1 A Scenario: The Stern King of Origami Land 327 $a10.2 Begin with a Simpler Problem: How to Divide the Rectangle Horizontally and Vertically into 3 Equal Parts 330 $aThe art of origami, or paper folding, is carried out using a square piece of paper to obtain attractive figures of animals, flowers or other familiar figures. It is easy to see that origami has links with geometry. Creases and edges represent lines, intersecting creases and edges make angles, while the intersections themselves represent points. Because of its manipulative and experiential nature, origami could become an effective context for the learning and teaching of geometry.In this unique and original book, origami is an object of mathematical exploration. The activities in this book diff 606 $aOrigami 606 $aPolyhedra$xModels 608 $aElectronic books. 615 0$aOrigami. 615 0$aPolyhedra$xModels. 676 $a516/.156 700 $aHaga$b Kazuo$f1934-$0929758 701 $aFonacier$b Josefina$0929759 701 $aIsoda$b Masami$0915051 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910455519603321 996 $aOrigamics$92090075 997 $aUNINA LEADER 00949nam a2200277 i 4500 001 991000900099707536 005 20020507102954.0 008 951128s1967 us ||| | eng 035 $ab10145564-39ule_inst 035 $aLE00638828$9ExL 040 $aDip.to Fisica$bita 084 $a53.1.65 084 $a510.60 084 $aQC183.N467 100 1 $aNelson, E.$0346946 245 10$aDynamical theories of brownian motion /$cE. 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