Mondrian Art Puzzle Challenges

The video explores a Mondrian art puzzle where rectangles must have different dimensions, and the score is the difference between the largest and smallest rectangle areas. The goal is to achieve the lowest score while tiling the entire canvas. Examples are provided, and optimal solutions for various square sizes are discussed. The complexity of the problem and unsolved questions are highlighted, with a focus on generalizing solutions for n by n squares.

What is the main challenge in the Mondrian art puzzle?

• Creating art with identical rectangles

• Maximizing the number of rectangles

• Using only square shapes

• Ensuring all rectangles have different dimensions

How is the score calculated in the Mondrian art puzzle?

• Number of rectangles used

• Total perimeter of all rectangles

• Sum of all rectangle areas

• Difference between the largest and smallest rectangle areas

What was the initial score when using a 3x2 and a 2x2 rectangle?

• 8

• 5

• 16

• 20

What is the best possible score for a 6x6 Mondrian art puzzle?

• 3

• 5

• 0

• 8

What is a guaranteed score for any odd square, according to the video?

• The square's area

• The square's perimeter

• The square's edge length

• Half of the square's area

What is an example of a square where the score does not increase?

• 16 by 16

• 17 by 17

• 18 by 18

• 19 by 19

What is the unsolved problem mentioned in the video?

• Finding the largest possible score

• Determining if the score can ever be zero

• Creating art with identical rectangles

• Using only even squares

What is the proposed general solution for an n by n square?

• n squared minus four

• n cubed minus four plus four

• n plus four minus four

• n times n minus four

What is the main challenge in finding a general solution for n by n squares?

• Using only odd squares

• Proving the solution mathematically

• Creating art with identical rectangles

• Ensuring all rectangles have the same dimensions

What is the humorous remark made about finding the general solution?

• Good luck, dream on

• It's a piece of cake

• It's already solved

• It's as easy as pie