Logic games. How to collect "Fifteen"?

2024 Author: Sierra Becker | [email protected]. Last modified: 2024-02-26 03:46

Developing logic games are not only recreation and entertainment. Puzzles are aimed at the development of logical thinking. There are a huge number of educational board and computer games. Among the well-known and popular is the ageless puzzle game called "Fifteen".

History of the game

A seemingly simple puzzle has a rich history that dates back to the distant year 1874. Its creator was the American Noah Palmer Chapman. An ordinary postmaster who lived in a small town in the state of New York came up with a puzzle consisting of sixteen square numbers. All the squares had to be lined up four in a row.

In this case, the sum of the numbers in each of them should have been equal to thirty-four. The postmaster's son Frank Chapman improved the game and changed its rules. The puzzle quickly gained popularity around the world, retaining it to this day.

Game Rules

A fascinating and rather difficult logical task will be of interest to both children and adults. "Fifteen" is a board game consisting of a square box filled with a set of chips.

They are numbered from one to fifteen and placed in a box in random order. This leaves room for them to move. The task of the whole game is to get a consecutive series of numbers by moving the chips. They must line up in ascending order. At first glance, this is easy and simple. But one should not rush to conclusions. This task is not as simple as it seems at first glance. In some cases, it has no solution.

Simple version of the puzzle

To acquire skills, let's start with the simplest option. "Fifteen" 2x2 will perfectly help to capture the essence of the game. This version features a square box containing three tokens numbered one through three. On the playing field they are placed in random order. They should be ordered, lining up in a row: 1, 2, 3. In order to solve the puzzle, you should not randomly move the chips. It is necessary to logically calculate how to collect "Fifteen".

The playing field scheme consists of four positions. Three of them are occupied by chips. The fourth is empty, it is designed to move. At the end of the game, the top positions are occupied by the numbers 1 and 2. In the bottom row is a triple. We start the game. Let's say in our simple version in the top row there are three and one. And under the three below is a deuce, to the right ofwhich spare space to move. Let's move it to an empty space. The trio moves down to the vacant seat. Next, the unit moves to the left corner. After her, the deuce moves up.

As a result of simple actions, the puzzle is solved. We complicate the task a little. In the 3x3 version, how to collect Fifteen?

The diagram shows the sequence of moves. Now you can move on to a more complex version of "Fifteen".

Puzzle consisting of fifteen pieces

After mastering the simple version of the game, you can solve a more difficult puzzle. Let's complicate the task a bit. Let's try to figure out how to assemble "Fifteen" 4x4. This classic version of the game has a box containing fifteen pieces numbered one through fifteen. There is also a spare empty space for them to move. The principle of solving the puzzle is the same as in the simple version. All numbers are in random order. You need to arrange them in ascending order of number.

Description of the game. Chip movement order

Let's try to imagine how to collect "Fifteen". The scheme of the logical puzzle consists in the sequential movement of chips. Assume that the numbers on the playing field are arranged in the following order:

• 1st line - 8, 15, 2, 11;
• 2nd line - 4, spare space, 10, 9;
• 3rd line - 12, 5, 1, 6;
• 4th line - 3, 14, 7, 13.

First, at the top of the box, collect the first row of numbers from one to four. line it upnot difficult. After several moves of the chips, the playing field looks like this:

• 1st line - 1, 2, 3, 11;
• 2nd line - 15, 10, reserve seat, 4;
• 3rd line - 5, 8, 6, 9;
• 4th line - 14, 12, 7, 13.

In order to set the four in place, move the ten and fifteen clockwise by one position. Then all the numbers of the first row counterclockwise. Move the unit down. And the rest of the chips are shifted one position to the left. Now we lower the chip at number eleven down. And we line up the numbers of the first row in the correct sequence. Restore the second row in a similar way.

To do this, all the main movements occur in the third row. After restoring the correct sequence of the second row, the playing field will look like this:

• 1st line - 1, 2, 3, 4;
• 2nd line - 5, 6, 7, 8;
• 3rd line - reserve box, 14, 10, 11;
• 4th line - 12, 15, 13, 9.

It's not long before the puzzle is completely solved. We proceed to the arrangement of chips in the third row. To do this, first of all, move the initial numbers of the last two rows to their places. Chips 9 and 13 are fixed and no longer moved. This position looks like this:

• 1st line - 1, 2, 3, 4;
• 2nd line - 5, 6, 7, 8;
• 3rd line - 9, spare space, 15, 11;
• 4th line - 13, 14, 12, 10.

There are six cells on the playing field, in which five chips are placed. In order to restore the correctorder of numbers, it is necessary that the numbers 12 and 15 take their places. This can be achieved with several moves. After that, the correct combination of numbers will be reached.

After playing this logic diagram, you will get an idea of how to assemble "Fifteen". The game sequence instruction can be used for a wide variety of digital combinations. The principle of placing and moving numbers is preserved.

Analogues of digital "Fifteen"

Entertaining logic game based on moving pieces with numbers, which are arranged in a certain sequence. Based on the principles of this game, no less entertaining puzzles have been created in which numbers are replaced by pictures. The picture is cut into separate fragments. The purpose of such a logic game is to assemble the original image into a single whole. Unlike the digital Fifteen, she always has a solution.