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Part I: Linkages b: Pantographs & Pop-ups PowerPoint Presentation
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Part I: Linkages b: Pantographs & Pop-ups

Part I: Linkages b: Pantographs & Pop-ups

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Part I: Linkages b: Pantographs & Pop-ups

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  1. Part I: Linkagesb: Pantographs & Pop-ups Joseph O’Rourke Smith College

  2. Outline • Pantographs • In the world • As a tool • Pop-ups • Pantograph related motions • Rotations

  3. Trams http://hutnyak.com/Trolley/trolleyphotos.html

  4. Construction Trucks

  5. Collapsible drying rack http://cottonridge.safeshopper.com/377/554.htm?527

  6. Hoberman sphere

  7. The Pantograph http://www.shout.net/~mathman/html/roxana.html • Applets etc: • http://www15.addr.com/~dscher/rotator.html • http://www.ies.co.jp/math/java/geo/panta/panta.html

  8. Pantographs

  9. Thomas Jefferson’s Pantograph

  10. How a Pantograph Works

  11. Pantograph vectors

  12. Pantograph: Analysis • Commutativity of vector addition • Scalar multiplication, distribution • [pantograph.cdy]

  13. Pop-up Books & Cards

  14. Hung Hsin-Fu, Paper Artist http://en.3dpaper.com.tw/

  15. Pop-up Linkages • Pantograph • Parallel Double-slit • Layered Double-slits • Angled V-folds • Rotations

  16. Geometry of wing-tip rotation

  17. (another view)