LEADER 03069nam 2200613Ia 450 001 9910144285103321 005 20170815152951.0 010 $a1-282-30653-7 010 $a9786612306532 010 $a0-470-18794-8 010 $a0-470-18893-6 035 $a(CKB)1000000000376597 035 $a(EBL)469646 035 $a(OCoLC)746577049 035 $a(SSID)ssj0000291333 035 $a(PQKBManifestationID)11235027 035 $a(PQKBTitleCode)TC0000291333 035 $a(PQKBWorkID)10248487 035 $a(PQKB)11538927 035 $a(MiAaPQ)EBC469646 035 $a(EXLCZ)991000000000376597 100 $a19951005d1996 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe purines$iSupplement 1$b[electronic resource] /$fJohn H. Lister; with an essay by M. David Fenn 210 $aNew York $cWiley$dc1996 215 $a1 online resource (482 p.) 225 1 $aThe Chemistry of heterocyclic compounds ;$vv. 54 300 $a"A Wiley-Interscience publication." 311 $a0-471-08094-2 320 $aIncludes bibliographical references (p. 425-454) and index. 327 $aThe Purines Supplement; Contents; List of Tables; I. Introduction to the Purines (H1); II. Synthesis from Pyrimidines; III. Purine Syntheses from Imidazoles and Other Precursors (H91); IV. Purine and C-Alkyl, C-Aryl, and N-Alkyl Derivatives (H117); V. Halogenopurines(H135); VI. Oxo-(Hydroxy-) and Alkoxypurines (H203); VII. Thioxo- and Selenoxopurines and Derivatives (H269); VIII. The Amino (and Amino-Oxo)purines (H309); IX. The Purine Carboxylic Acids and Related Derivatives (H367); X. Nitro-, Nitroso-, and Arylazopurines (H401); XI. Purine-N-Oxides (H409); XII. The Reduced Purines (H427) 327 $aXIII. Enlarged Purine-Containing Structures (New)XIV. The Spectra of Purines (H507); XV. Systematic Tables of Simple Purines; REFERENCES; INDEX 330 $aIntroduction to the Purines (H1). Synthesis from Pyrimidines. Purines Syntheses from Imidazoles and Other Precursors (H 91). Purine and C -Alkyl, C -Aryl and N -Alkyl Derivatives (H 117). Halogenopurines (H 135). Oxo-(Hydroxy-) and Alkoxypurines (H 203). Thioxo- and Selenoxopurines and Derivatives (H 269). The Amino (and Amino-Oxo) Purines (H 309). The Purine Carboxylic Acids and Related Derivatives (H 367). Nitro-, Nitroso-, and Arylazopurines (H 401). Purine-N -Oxides (H 409). The Reduced Purines (H 427). Enlarged Purine-Containing Structures (New). The Spectra of Purines (H 507). Systematic 410 0$aChemistry of heterocyclic compounds ;$vv. 54. 606 $aPurines 606 $aHeterocyclic compounds 608 $aElectronic books. 615 0$aPurines. 615 0$aHeterocyclic compounds. 676 $a547.596 676 $a547/.59/05 676 $a547/.596 700 $aLister$b John Henry$0958395 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910144285103321 996 $aThe purines$92171454 997 $aUNINA LEADER 05340nam 2200649Ia 450 001 9910778080703321 005 20230721021817.0 010 $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(WSP)00007023 035 $a(Au-PeEL)EBL1193451 035 $a(CaPaEBR)ebr10688032 035 $a(CaONFJC)MIL498376 035 $a(OCoLC)820944619 035 $a(MiAaPQ)EBC1193451 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 615 0$aOrigami. 615 0$aPolyhedra$xModels. 676 $a516/.156 700 $aHaga$b Kazuo$f1934-$01561184 701 $aFonacier$b Josefina$01561185 701 $aIsoda$b Masami$01561186 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910778080703321 996 $aOrigamics$93827699 997 $aUNINA