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ChrisGifford
Posts: 38
Joined: February 6th, 2016, 10:27 pm

### Re: How long does it take to solve a jigsaw?

Are there any constraints on which logistic and mathematical systems and/or theories can be used in the response?

Paul
Topic Author
Posts: 10093
Joined: July 20th, 2001, 3:28 pm

### Re: How long does it take to solve a jigsaw?

Of course not!

ChrisGifford
Posts: 38
Joined: February 6th, 2016, 10:27 pm

### Re: How long does it take to solve a jigsaw?

One interpretation of the challenge posed by the question is to find an appropriate Lyapunov function.

ChrisGifford
Posts: 38
Joined: February 6th, 2016, 10:27 pm

### Re: How long does it take to solve a jigsaw?

This tread has transformed my shopping experience; I was looking at jigsaw puzzles on sale today and constructing models for them.

n-nomial models for the fair price of jigsaw puzzles.

Posts: 23951
Joined: September 20th, 2002, 8:30 pm

### Re: How long does it take to solve a jigsaw?

This tread has transformed my shopping experience; I was looking at jigsaw puzzles on sale today and constructing models for them.

n-nomial models for the fair price of jigsaw puzzles.
Is the pricing function positive or negative in the number of non-negligible PCA modes for the shapes or color patterns of the pieces?

ChrisGifford
Posts: 38
Joined: February 6th, 2016, 10:27 pm

### Re: How long does it take to solve a jigsaw?

What do you mean by PCA?

Posts: 23951
Joined: September 20th, 2002, 8:30 pm

### Re: How long does it take to solve a jigsaw?

PCA == Principal component analysis. If one models the pieces as being linear combinations of orthogonal vectors, the eigenvalues corresponding to the different modes will follow some distribution. A mostly-monotonous image (e.g., blue sky above a field of snow) might have high eigenvalues for a few modes and low values for the rest, hinting that the puzzle has relatively few kinds of pieces which poses a challenge to puzzle solvers. And an extremely detailed image might have a near-uniform set of eigenvalues across a very large number of modes, hinting that the puzzle may have relatively little piece-to-piece structure or clustering of similar pieces which poses a challenge to puzzle solvers.

Do puzzle buyers pay more for "hard puzzles" versus "easy puzzles" of a given piece count? And are there algorithmic indicators for difficulty?

ChrisGifford
Posts: 38
Joined: February 6th, 2016, 10:27 pm

### Re: How long does it take to solve a jigsaw?

ナノブロック

How do you want me to cite you - as 'Traden4Alpha', 'Anonomous" or something else'?

outrun
Posts: 4573
Joined: April 29th, 2016, 1:40 pm

### Re: How long does it take to solve a jigsaw?

http://boingboing.net/2017/01/27/this-j ... -bord.html
(Check out the video)

Posts: 23951
Joined: September 20th, 2002, 8:30 pm

### Re: How long does it take to solve a jigsaw?

ナノブロック

How do you want me to cite you - as 'Traden4Alpha', 'Anonomous" or something else'?

Posts: 23951
Joined: September 20th, 2002, 8:30 pm

### Re: How long does it take to solve a jigsaw?

http://boingboing.net/2017/01/27/this-j ... -bord.html
(Check out the video)
Amazing! It's a fractal variant on all those puzzles that can be assembled into any of a number of overall shapes.

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