The Open Box Problem

Introduction to unpacking problem The purpose of algebraic research on unpacking problems is to determine the size of the square cut so that the size of the box of a given rectangular card is as large as possible. The problem is simple, the open box is made of cards, the same square is cut off from the four corners, and the sheet is folded into a box. My goal is to find the largest square cut.

There is a popular test that seems to have a lot of psychology graduate undergraduate faculties. A child sitting at the table opens the box labeled "candy" and was surprised to find a pencil. A man wearing a white coat asked him next to his child and when he came in, Jason outside the room would have thought that it was in the box. "The pencil" said the child. The idea is that the ability to project our consciousness out into other 'skin pockets' is not available at birth. It is a byproduct of electrical reaction in our brain. Some people have stronger abilities, others are weaker, but rarely - Babies born each year are said to be absent by one in 300 people. "These are", Steven Pinker talked about how the mind works in his mind.

In a classic experiment, you can give a box of chocolate to a 3 year old child. They opened it, and there was a pencil inside. Then ask about other children in nursery school: "What do you think is in the box: is a pencil or chocolate?" A 3-year-old child told that Nikki has a pencil It was. They do not understand that Nicky may make the same mistake. A 4 - year - old child knows that the diary is misunderstood as a picture of the box. Like scientists, children change the theory as they make erroneous predictions. In the "wrong belief" experiment, just tell the child that there is no difference in the correct answer. Like scientists, children initially oppose anti-evidence. Virginia Slaughter and I visited a 3 year old child in a couple of weeks and gave them examples of false beliefs. Golf balls, originally soap, yellow ducks appear green after blue plastic

Boxed wine is trying to solve quantitative problems. The box is wonderful, people who went to college soon found a plastic bag in the box (slap the bag!) Bags and sleeves prevent oxygen from touching the wine and prevent oxidation. "Open" wine boxes remain untouched for over a month. But the biggest problem is that a bottle of wine is 3 L and 4 standard 750 mL bottles. Many companies are trying to put fine wines in the box, but there are mathematical problems; $ 25 per bottle x 4 bottles per case = $ 100 per bottle of wine. Even if you save a few dollars in packaging, it is still a wine box of $ 90. Because it was too expensive, they did not sell, the box did not look elegant