Math Is Fun Forum

shocamefromebay

Member

Registered: 2007-05-30

Posts: 103

one throught eight

here is a puzzle. somwhat like a sudoku, but not exactly. it uses numbers but no math like sodoku and pure logic.

Here's a grid.
                   ____________
                   |                  |
                   |                  |
                   |                  |
__________________________________
|                  |                  |                  |
|                  |                  |                  |
|                  |                  |                  |
|________________________________|
|                  |                  |                  |
|                  |                  |                  |
|                  |                  |                  |
|________________________________|
                   |                  |
                   |                  |
                   |                  |
                   ____________

put the numebrs one through 8 in the boxes
each only once
and no consecutive numbers may be next to each otehr
veritcally horizontally or diagnolly

Last edited by shocamefromebay (2007-06-05 06:20:04)

Devantè

Real Member

Registered: 2006-07-14

Posts: 6,400

Re: one throught eight

2
586
314
7

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: one throught eight

Now I ask a question. How many different possible solutions are there?
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mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: one throught eight

Hmm, good question.
It might be worth trying to show that the middle two need to contain 1 and 8, because that will reduce the degrees of freedom and so make the problem easier to analyse. Slight problem being that I'm not sure if it's true.

Do reflections and rotations count as separate solutions?

---

Why did the vector cross the road?
It wanted to be normal.

shocamefromebay

Member

Registered: 2007-05-30

Posts: 103

Re: one throught eight

hmm i dont no how many solutions there really are. i made this up when i was realy bored and i didnt check to see how many solutions there were. but there are probly a lot. but i dont think taht rotations or reflections count as different solutions

Ma+th=fun

Member

Registered: 2007-05-08

Posts: 41

Re: one throught eight

i think rotations and reflections are answers because they are correct, well only if your rotating/reflecting a correct answer oh yeah what does consecutive mean?

---

I love pi.

shocamefromebay

Member

Registered: 2007-05-30

Posts: 103

Re: one throught eight

consecutive meanse like next to each other
like 1 and 2 are consecutive
2 is consecutive to 1 and 3
89 is consecutive to 88 and 90
and so on and so on