## Welcome to BrainDen.com - Brain Teasers Forum

 Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account. As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends. Of course, you can also enjoy our collection of amazing optical illusions and cool math games. If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top. If you have a website, we would appreciate a little link to BrainDen. Thanks and enjoy the Den :-)
Guest Message by DevFuse

# Hershey Bar game

8 replies to this topic

### #1 bonanova

bonanova

bonanova

• Moderator
• 6161 posts
• Gender:Male
• Location:New York

Posted 16 October 2012 - 08:14 AM

I unwrap a Hershey bar and notice it is 7 squares wide and 4 squares high. I propose a game. One of us will break a piece of the bar along a vertical line. The other will break a piece along a horizontal line. We alternate moves until one of us has no remaining moves. That player loses the game.

As an example, the first to move might break the bar along the third vertical line, leaving a 3x4 rectangle and a 4x4 square. The second player to move might break the square along the topmost horizontal line, changing it into 4x1and 4x3 rectangles. And so forth.

Someone will ask: can you rotate the pieces? The answer is No. Although it is permissible to eat the Hershey Bar and play the game with pencil and paper.

Here is the puzzle.

You may choose the orientation of your breaks or which of us moves first. Choose wisely and you can force a win.
• 0

Vidi vici veni.

### #2 phil1882

phil1882

Senior Member

• Members
• 564 posts

Posted 16 October 2012 - 11:04 AM

Spoiler for

• 0

### #3 bonanova

bonanova

bonanova

• Moderator
• 6161 posts
• Gender:Male
• Location:New York

Posted 17 October 2012 - 06:10 AM

Spoiler for

Yeah, true.

For instance, if my (first) move was to break on the third vertical line, as described in OP,
what (horizontal) second move would win for you?
• 0

Vidi vici veni.

### #4 Barcallica

Barcallica

• Members
• 151 posts
• Gender:Male
• Location:Room with a View

Posted 17 October 2012 - 06:31 AM

Spoiler for

• 0

### #5 bonanova

bonanova

bonanova

• Moderator
• 6161 posts
• Gender:Male
• Location:New York

Posted 17 October 2012 - 07:44 AM

Spoiler for

OP says:
One of us will break a piece of the bar along a vertical line. The other will break a piece along a horizontal line.
• 0

Vidi vici veni.

### #6 phil1882

phil1882

Senior Member

• Members
• 564 posts

Posted 17 October 2012 - 09:02 AM

For instance, if my (first) move was to break on the third vertical line, as described in OP,
what (horizontal) second move would win for you?

Spoiler for

• 0

### #7 Barcallica

Barcallica

• Members
• 151 posts
• Gender:Male
• Location:Room with a View

Posted 17 October 2012 - 01:40 PM

OP says:
One of us will break a piece of the bar along a vertical line. The other will break a piece along a horizontal line.

Meaning one can slice 18 times at maximum?
• 0

### #8 bonanova

bonanova

bonanova

• Moderator
• 6161 posts
• Gender:Male
• Location:New York

Posted 17 October 2012 - 09:17 PM

Meaning one can slice 18 times at maximum?

Meaning that one player will eventually run out of his H or V moves and lose.

Edit: there is a fixed number of moves, but how they distribute between H and V moves depends on how the game progresses. At some point all the remaining moves will be H moves and the V player loses, or all the remaining moves will be V moves and the H layer loses.
• 0

Vidi vici veni.

### #9 platypust

platypust

Newbie

• Members
• 1 posts

Posted 18 October 2012 - 04:59 AM

If I understood your game correctly...

Spoiler for

• 1

#### 0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users