I got this question assigned to me for math HW, but I still can't figure it out. I might just be wasting my time because so far this looks impossible. Furthermore, I'm happy to hear what you guys think.
Here's the question:
"Mark receives a piece of paper with the figure shown below. He is told to place a number from 1-8 in each of the boxes inside the shape. He is also told to not put two numbers that go together in boxes next to or diagonal to each other. (. 2 and 3 or 2 and 1 can't go in boxes next to or diagonal to each other.) Where should Mark place each of his numbers?"
The figure is two rectangles shaped like a cross like the Switzerland flag but with a line from top to bottom in between the vertical rectangle. You should end up with 8 squares/boxes/rectangles. Sorry if this explanation is a little hard to understand, but I can't paste images here. Thanks again!
@CHESSY0912 said in #1:
> I got this question assigned to me for math HW, but I still can't figure it out. I might just be wasting my time because so far this looks impossible. Furthermore, I'm happy to hear what you guys think.
> Here's the question:
> "Mark receives a piece of paper with the figure shown below. He is told to place a number from 1-8 in each of the boxes inside the shape. He is also told to not put two numbers that go together in boxes next to or diagonal to each other. (. 2 and 3 or 2 and 1 can't go in boxes next to or diagonal to each other.) Where should Mark place each of his numbers?"
>
> The figure is two rectangles shaped like a cross like the Switzerland flag but with a line from top to bottom in between the vertical rectangle. You should end up with 8 squares/boxes/rectangles. Sorry if this explanation is a little hard to understand, but I can't paste images here. Thanks again!
if you get a PDF of that question in the textbook then just take a screenshot and send it..it doesn't make sense if we don't know what the figure is.
@CHESSY0912 said in #1:
Sorry if this explanation is a little hard to understand, but I can't paste images here. Thanks again!
there's a tool now in forums that lets you post images...
@CHESSY0912 said in #1:
> I got this question assigned to me for math HW, but I still can't figure it out. I might just be wasting my time because so far this looks impossible. Furthermore, I'm happy to hear what you guys think.
> Here's the question:
> "Mark receives a piece of paper with the figure shown below. He is told to place a number from 1-8 in each of the boxes inside the shape. He is also told to not put two numbers that go together in boxes next to or diagonal to each other. (. 2 and 3 or 2 and 1 can't go in boxes next to or diagonal to each other.) Where should Mark place each of his numbers?"
>
> The figure is two rectangles shaped like a cross like the Switzerland flag but with a line from top to bottom in between the vertical rectangle. You should end up with 8 squares/boxes/rectangles. Sorry if this explanation is a little hard to understand, but I can't paste images here. Thanks again!
The two central rectangles touch the most number of other rectangles, so it makes sense to put the two end numbers (1 and 8) in those two central rectangles. There might be multiple solutions, but I think this works:
(From left to right): In the top two rectangles, put 3 and 5. In the middle four rectangles, put 7, 1, 8, and 2. Finally, in the bottom two rectangles, put 4 and 6.
That's the figure
@NeuralGnat said in #4:
> > I got this question assigned to me for math HW, but I still can't figure it out. I might just be wasting my time because so far this looks impossible. Furthermore, I'm happy to hear what you guys think.
> > Here's the question:
> > "Mark receives a piece of paper with the figure shown below. He is told to place a number from 1-8 in each of the boxes inside the shape. He is also told to not put two numbers that go together in boxes next to or diagonal to each other. (. 2 and 3 or 2 and 1 can't go in boxes next to or diagonal to each other.) Where should Mark place each of his numbers?"
> >
> > The figure is two rectangles shaped like a cross like the Switzerland flag but with a line from top to bottom in between the vertical rectangle. You should end up with 8 squares/boxes/rectangles. Sorry if this explanation is a little hard to understand, but I can't paste images here. Thanks again!
>
> The two central rectangles touch the most number of other rectangles, so it makes sense to put the two end numbers (1 and 8) in those two central rectangles. There might be multiple solutions, but I think this works:
> (From left to right): In the top two rectangles, put 3 and 5. In the middle four rectangles, put 7, 1, 8, and 2. Finally, in the bottom two rectangles, put 4 and 6.
Thank you so much!
@CHESSY0912 said in #5:
> 
Top box 3 and 5.
Middle - 7, 8, 1, 2
Bottom - 4, 6
#8
7, 1, 8, 2
There are exactly 4 solutions, that are left/ricgt and top down mirror images.
The 2 central cells have 6 neighbors horizontally, vertically and along the 2 diagonals.
Hence only 8 and 1 are possible.
Thus for the same reason 2 must be next to 8 and 7 must be next to 1.
That leaves 3-5 and 4-6 for the top and bottom cells.
The 4 solutions are:
. 3 5 . ... . 5 3 .
7 1 8 2 ... 2 8 1 7
. 4 6 . ... . 6 4 .
. 4 6 . ... . 6 4 .
7 1 8 2 ... 2 8 1 7
. 3 5 . ... . 5 3 .