LEADER 03491nam 22007212 450 001 9910781991603321 005 20151005020624.0 010 $a1-107-21769-5 010 $a1-139-23486-2 010 $a1-283-29846-5 010 $a1-139-12295-9 010 $a9786613298461 010 $a0-511-97502-3 010 $a1-139-11721-1 010 $a1-139-12787-X 010 $a1-139-11285-6 010 $a1-139-11504-9 035 $a(CKB)2550000000055734 035 $a(EBL)775112 035 $a(OCoLC)769341819 035 $a(SSID)ssj0000537670 035 $a(PQKBManifestationID)11358354 035 $a(PQKBTitleCode)TC0000537670 035 $a(PQKBWorkID)10554376 035 $a(PQKB)10641263 035 $a(UkCbUP)CR9780511975028 035 $a(MiAaPQ)EBC775112 035 $a(Au-PeEL)EBL775112 035 $a(CaPaEBR)ebr10502780 035 $a(CaONFJC)MIL329846 035 $a(PPN)261372181 035 $a(EXLCZ)992550000000055734 100 $a20101011d2011|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHow to fold it $ethe mathematics of linkages, origami, and polyhedra /$fJoseph O'Rourke$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2011. 215 $a1 online resource (xii, 177 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-14547-3 311 $a0-521-76735-0 327 $aMachine generated contents note: Part I. Linkages: 1. Robot arms; 2. Straight-line linkages and the pantograph; 3. Protein folding and pop-up cards; Part II. Origami: 4. Flat vertex folds; 5. Fold and one-cut; 6. The shopping bag theorem; Part III. Polyhedra: 7. Durer's problem: edge unfolding; 8. Unfolding orthogonal polyhedra; 9. Folding polygons to convex polyhedra; 10. Further reading; 11. Glossary; 12. Answers to exercises; 13. Permissions and acknowledgments. 330 $aWhat do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? With the help of 200 colour figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's website, http://www.howtofoldit.org, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out. 606 $aLiaison theory (Mathematics) 606 $aOrigami$xMathematics 606 $aPolyhedra 606 $aProtein folding 615 0$aLiaison theory (Mathematics) 615 0$aOrigami$xMathematics. 615 0$aPolyhedra. 615 0$aProtein folding. 676 $a516.3/5 686 $aMAT000000$2bisacsh 700 $aO'Rourke$b Joseph$0622259 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910781991603321 996 $aHow to fold it$93785346 997 $aUNINA