The Moving Sofa Problem Quiz

What is the main question posed by the moving sofa problem?

• How to design a sofa for maximum comfort

• The largest sofa that can be moved around a corner

• How to move a sofa up a staircase

• The smallest sofa that can fit in a room

Who first introduced the moving sofa problem?

• John Hammersley

• Hallard Croft

• Leo Moser

• Joseph Gerver

What shape did John Hammersley propose as a potential solution to the moving sofa problem?

• A rectangle

• A semicircle

• A square

• A retro telephone handset

What was the area of Hammersley's proposed shape?

• 1 square unit

• 1.57 square units

• 2.2074 square units

• 2.8284 square units

What was unique about Joseph Gerver's proposed solution?

• It was a simple shape

• It was made of 18 separate lines, arcs, and curves

• It was a 3D model

• It was the smallest shape proposed

What was the main challenge in proving Gerver's solution?

• Lack of mathematical interest

• Complexity of the shape

• Insufficient technology

• No universal formula for all shapes

What did Jineon Baek introduce to help solve the moving sofa problem?

• A new type of sofa

• A new mathematical function called Q

• A computer algorithm

• A physical model

What is an ambi-turning sofa?

• A sofa that can turn in one direction

• A sofa that can turn around two corners

• A sofa that is easy to move

• A sofa that is very small

Who proposed a shape that looks like a car for the ambi-turning sofa problem?

• Dan Romik

• Joseph Gerver

• John Conway

• Zhipeng Deng

What is the next challenge after finding the largest ambi-turning sofa?

• Solving the problem in 3D

• Designing a new type of furniture

• Creating a new mathematical theory

• Finding the smallest sofa