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Problem Title: Snowboard Course

     
  Year: 2011      
  Student Level: Undergraduate      
  Source: MCM      
  Commentary: Yes (1)      
  Student Papers: Yes (4)      
     
  Problem  
 

Determine the shape of a snowboard course (currently known as a "halfpipe") to maximize the production of "vertical air" by a skilled snowboarder.

"Vertical air" is the maximum vertical distance above the edge of the halfpipe.

Tailor the shape to optimize other possible requirements, such as maximum twist in the air.

What tradeoffs may be required to develop a "practical" course?

 
         
  Commentary      
 

Judges' Commentary: The Outstanding Snowboard Course Papers

Kelly Black
Dept. of Mathematics
Clarkson University

     
         
  Student Papers      
 

Team 9159: Higher in the Air: Design of Snowboard Course

Peking University, China

 
         
 

Team 9582: A half-blood half-pipe, a perfect performance

Tsinghua University, China

 
         
 

Team 11199: Designing the Optimal Snowboard Half-Pipe

University of Western Ontario, Canada

 
         
 

Team 12149: Designing a Halfpipe for Advanced Snurfers

Eastern Oregon University, OR