What Do You Know About The Carpenter's Problem?

10 Questions | Total Attempts: 102

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What Do You Know About The Carpenter

In the carpenter's problem, you are to provide answers on the likelihood of a simple polygon being moved to a point where all vertices are convex when the length of the edges is properly established. The problem became popular following attempts by mathematicians to solve it in the 21st century. How conversant are you with geometry problems? Do not be found wanting!


Questions and Answers
  • 1. 
    Who was credited to formulate a combinatorial proof in the terminology of robot arm motion planning?
    • A. 

      Ileana Strianu

    • B. 

      John Pardon

    • C. 

      Henry Euler

    • D. 

      Jude Pythagoras

  • 2. 
    In which year did Strianu and Whiteley provide an application for the problem?
    • A. 

      2013

    • B. 

      2014

    • C. 

      2015

    • D. 

      2017

  • 3. 
    Which part of the shape is most concerned in the solution by Strianu and Whiteley?
    • A. 

      Edges

    • B. 

      Vertex

    • C. 

      Segment

    • D. 

      Angle

  • 4. 
    In this problem, what change has an effect on the Jordan curve?
    • A. 

      It is made concave

    • B. 

      It is made convex

    • C. 

      It is curved

    • D. 

      It is straightened

  • 5. 
    Who is popularly known to generalize carpenter's problem?
    • A. 

      John Chase

    • B. 

      Isaac Newton

    • C. 

      Alexander Fleming

    • D. 

      John Pardon

  • 6. 
    Which year saw the content generalization of this problem?
    • A. 

      2010

    • B. 

      2009

    • C. 

      2002

    • D. 

      2007

  • 7. 
    Which is the term for the continuous transformation of a closed curve in the plane and eventually convexifying it?
    • A. 

      Curve shortening flow

    • B. 

      Flow convexing

    • C. 

      Convexing

    • D. 

      Concave flow

  • 8. 
    How many sides should be observable in an ideal trapezium?
    • A. 

      3 sides

    • B. 

      10 sides

    • C. 

      8 sides

    • D. 

      6 sides

  • 9. 
    Which year saw the permanent solution to carpenter's problem provided by Italian mathematicians? 
    • A. 

      2013

    • B. 

      2012

    • C. 

      2007

    • D. 

      2003

  • 10. 
    Which of these mathematicians was not involved in providing a solution to the problem in 2003?
    • A. 

      Dufresne 

    • B. 

      Domaine

    • C. 

      Connelly 

    • D. 

      Rote