Part I: Linkages b: Pantographs

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Part I Linkagesb Pantographs Pop-ups
Joseph ORourke Smith College
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Outline

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

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Trams
http//hutnyak.com/Trolley/trolleyphotos.html
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Construction Trucks
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Collapsible drying rack
http//cottonridge.safeshopper.com/377/554.htm?527
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Hoberman sphere
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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.ht
  ml

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Pantographs
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Thomas Jeffersons Pantograph
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(No Transcript)
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How a Pantograph Works
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Pantograph vectors
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Pantograph Analysis

• Commutativity of vector addition
• Scalar multiplication, distribution
• pantograph.cdy

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Pop-up Books Cards
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(No Transcript)
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Hung Hsin-Fu, Paper Artist
http//en.3dpaper.com.tw/
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Pop-up Linkages

• Pantograph
• Parallel Double-slit
• Layered Double-slits
• Angled V-folds
• Rotations

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Geometry of wing-tip rotation
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(another view)
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(No Transcript)