I don't know your strategy for doing puzzles, but I find all the corners first and then start putting the border together before I start working on the inside. Look at that box again. Would you be able to determine the dimensions (in puzzle pieces) of this puzzle by knowing the total number of pieces?
That was my first question:
A) If you know the total number of puzzle pieces, could you think of the all the possible dimensions (in puzzle pieces) of the puzzle?
Answer:
This puzzle will either be a 1x35 or 5x7.
Then came the next question:
B) Estimate the actual dimensions (in puzzle pieces) given the picture on the box?
Answer:
I'm going to go with 5x7 because five and seven are the only factors of 35 that would reasonably make the rectangular picture on the front of the box. The puzzle should be 5 pieces high and 7 pieces across from left to right.
With a box of 35 pieces, these questions aren't too ridiculously challenging. However, I know there are crazier puzzles out there in the world; puzzle with 500, 750, 1000 pieces, etc. That's where I called on Twitter to help out. Like a champ, the #MTBoS came through and hopefully will continue to come through with #puzzlemath.
Below are some of the tweets I received followed by additional math questions I'm curious about.
@mr_stadel Very curious what you plan to do with these. https://t.co/ninXsgrbB5 #puzzlemath
— Michael Fenton (@mjfenton) November 12, 2014
@mr_stadel followed @mjfenton s lead: https://t.co/tERRXkePwF #puzzlemath
— J.J. Martinez (@MrMartinezRUSD) November 12, 2014
@mr_stadel Puzzle number three - much simpler #puzzlemath pic.twitter.com/CmAfV3EBFx
— Cathy Campbell (@ccampbel14) November 12, 2014
@mr_stadel Batman puzzle #puzzlemath pic.twitter.com/JsZyfwaq3r
— Cathy Campbell (@ccampbel14) November 12, 2014
@mr_stadel First of three puzzles for you #puzzlemath pic.twitter.com/ngPYVmJ5XW
— Cathy Campbell (@ccampbel14) November 12, 2014
@mr_stadel @MrOrr_geek #puzzlemath pic.twitter.com/yzmYbQq56F
— Shelley Carranza (@stcarranza) November 12, 2014
@mr_stadel #puzzlemath Four in One. pic.twitter.com/FwMxq7tT7tAdditional Questions:
— Nat Banting (@NatBanting) November 12, 2014
C) If you think you know the dimensions, could you determine:
- The number of corner pieces
- The number of border (non-corner) pieces
- The number of inside pieces
If so, could you write a rule for any of these?
- A corner piece
- A border (non-corner piece)
- An inside piece
- The exact center (if possible) piece
Please add to the collection of puzzles and questions by tweeting with the hashtag #puzzlemath.
Puzzlemath,
1050
How could we figure out which puzzle would be easier to complete: a 30-piece puzzle or a 47-piece puzzle? My thought is that the 47-piece puzzle must be 1 x 47 where as the 30-piece puzzle could be a variety of dimensions. 1 x 30 would be easier but 5 x 6 would be harder. Could make for an interesting conversation.
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