# Logic games. How to collect "Fifteen"?

Developing logic games are not only recreation and entertainment. Puzzles are aimed at the development of logical thinking. There is a huge amount of developing desktop and computer games. Among the well-known and popular can be called a timeless puzzle called "Fifteen".

## The history of the game

At first glance, a simple puzzle has a rich history that begins in the distant thousand eight hundred and seventy-fourth year. Its creator was the American Noah Palmer Chapman. Ordinary postmaster, who lived in a small town in New York, came up with a puzzle consisting of sixteen number-squares. All the squares were necessary to line up four in a row.

In this case, the sum of the numbers in each of them should have been thirty-four. The son of the postmaster Frank Chapman perfected the game and changed its rules. The puzzle quickly became popular around the world, saving it to this day.

## Rules of the game

An exciting and quite complex logical task will be interesting both for children and adults. "Fifteen" - a board game consisting of a square box filled with a set of chips.They are numbered from one to fifteen and are arranged in a box in random order. At the same time there is space for their movement. The task of the whole game is to get a series of numbers by moving the chips. They should line up by numbers in ascending order. At first glance, it is easy and simple. But we 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" 2х2 perfectly help you catch the essence of the game. This version provides a square box in which there are three chips with numbers from one to three. On the playing field they are placed in random order. They should be arranged in a row: 1, 2, 3. In order to solve the puzzle, you should not randomly move chips. It is necessary to logically calculate how to assemble the "Fifteen".

The scheme of the playing field consists of four positions. Three of them are busy with chips. The fourth is empty, it is intended 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 troika. Start the game. For example, in our simple variant in the top row are three and one. And under the triple below, there is a two, to the right of which there is a reserve space for moving. Shift it to an empty space. The triple goes down to the vacant place. Then the unit moves to the left corner. Behind her deuce moves up.

As a result of simple actions, the puzzle is solved. A little complicate the task. In the variant 3х3 how to assemble "Fifteen?The diagram shows the sequence of moves. Now you can go to a more complex variant "Fifteen".

## Fifteen chips puzzle

After mastering the simple version of the game, you can solve a more complex puzzle. The task is somewhat more complicated. Let's try to figure out how to assemble the Fifteen 4x4. This classic version of the game has a box in which there are fifteen chips with numbers from one to fifteen. Also provides backup empty space to move them. The principle of solving the puzzle is the same as in the simple version. All numbers are arranged in random order. It is necessary to build them in ascending order of number.

## Description of the game. The order of moving chips

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

- 1 line - 8, 15, 2, 11;
- 2-line - 4, backup space, 10, 9;
- 3 line - 12, 5, 1, 6;
- 4 line - 3, 14, 7, 13.

To begin with, in the upper part of the box we collect the first row of numbers from one to four. Build it easy. After several moves of the chips, the playing field looks like this:

- 1 line - 1, 2, 3, 11;
- 2-line - 15, 10, backup space, 4;
- 3 line - 5, 8, 6, 9;
- 4 line - 14, 12, 7, 13.

In order to set the four on the right place, move the ten and fifteen clockwise by one position. Then all the digits of the first row are counterclockwise. Move the unit down. And the remaining chips are shifted one position to the left. Now drop the chip at number eleven down. And we build the numbers of the first row in the correct sequence. In a similar way, we restore the second row.

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

- 1 line - 1, 2, 3, 4;
- 2 line - 5, 6, 7, 8;
- 3-i line - backup cell, 14, 10, 11;
- 4 line - 12, 15, 13, 9.

It remains quite a bit to complete the puzzle. Getting to the placement of chips in the third row. To do this, first of all, move the initial numbers of the last two rows into place. The 9 and 13 chips are fixed and no longer move. This position has the following form:

- 1 line - 1, 2, 3, 4;
- 2 line - 5, 6, 7, 8;
- 3-line - 9, backup space, 15, 11;
- 4 line - 13, 14, 12, 10.

On the playing field there are six cells in which five chips are placed. In order to restore the correct order of numbers, it is necessary that the 12 and 15 numbers take their places. This can be achieved by several movements. After that, the right combination of numbers will be achieved.

After losing this logic, you get an idea of how to assemble the “Fifteen.” Game sequence instructions can be used for a wide variety of numeric combinations. The principle of placement and movement of numbers is preserved.

## Analogs of digital "Fifteen"

Logic exciting game based on the movement of chips with numbers that are built in a certain sequence. Based on the principles of this game, no less entertaining puzzles are created, in which numbers are replaced by drawings. The picture is cut into separate fragments. The goal of this logical game is to assemble the original image into a single whole. Unlike digital Fifteen, it always has a solution.

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Logic games. How to collect Fifteen

Logic games. How to collect Fifteen

Logic games. How to collect Fifteen

Logic games. How to collect Fifteen

Logic games. How to collect Fifteen

Logic games. How to collect Fifteen

Logic games. How to collect Fifteen