Cool Math Games

It tells about various mathematical, logical, verbal and other entertaining games that are popular. The author in a fascinating form describes their rules, history, theory, gives many interesting tasks, examples, puzzles. The book will help readers to develop logical, combinatorial and mathematical abilities, will be useful to students of folk universities of natural sciences.
Cool Math Games
Bulls and cows
This logical, combinatorial game, invented relatively recently, in the 70's, has gained huge popularity in many countries. Its most popular version is produced as a set called "Mastermind" (mastermind, literal translation - "outstanding mind"). But let's start our story with "bulls and cows".There are two playing. Each of them is thinking of a four-digit number with different numbers, which should be guessed by the partner (the first place can be 0). The move is that the guesser calls a certain number, also a four-digit number with different digits. If the conceived and named numbers have common figures, standing in the same places, this situation is called "bull" (hereinafter referred to as "b"). If there are common digits, but they stand in different places, it is a "cow". (denoted by "K").In response to the course of the partner puzzle compares its number with the named and reports the total number of "bulls" and "cows". For example, if conceived 5239, and named 2735, the answer is "1 bull 2 cows" (16 2k). Number 3 is in both numbers and stands at the same places (16), the numbers 2 and 5 are common, but stand at different places (2k), the numbers 7 and 9 are not common.Making a move and receiving an answer, the guesser extracts some information about the conceived number and finally determines it. The game ends at the moment when the next move he receives the answer 46, that is, the conceived number is found. The winner is the one who can guess the opponent's number faster.
Sea battle
Not every reader had to play "bulls and cows" or "guess the word", but a person who has never fought in a "sea battle" in his life, probably will not find. Despite the external simplicity, this popular game and its various modifications contain many subtleties.Classic sea battle. Let's start with the most popular version of the sea battle, popular in many countries. Each of the two players draws on a plaid sheet of paper two boards of 10 * 10. On the first of them, he places his ships, and the second unravels the location of enemy ships. The flotilla consists of ten ships: one battleship (ship 4*1), two cruisers (3*1), three destroyers (2*1) and four boats (1*1). Ships can occupy any field of the board, but they should not touch each other neither sides nor corners.After placement of the fleet players start to shoot at the enemy territory one by one, i.e. to name the board fields - a3, b7, and9, etc. (Horizons of the board will be denoted by numbers from 1 to 10, and verticals by Russian letters from a to k - see figure. 6 и 7). After each shot the player gets the following information from his partner: "hit" if the shot came across the field with the ship; "killed" if it is the last field of the ship (on other fields occupied by him, the hit occurred earlier); and finally, "past" if the field is empty. In the first two cases, the player makes another shot, and so before the first miss, after which the turn turn is passed to the partner. The first to sink all ten enemy ships wins.Thus, in this test game a set of rectangles located on the board serves as a cipher, and the test itself - the hits on it. Usually a shot in a sea battle is marked with a dot, and when you hit a ship a dot turns into a cross (the sunken ship itself is surrounded by a rectangle). Of course, the dots are also placed on those fields, which are already known that they can not be part of any of the ships (lying slope from the "broken" fields or surround the sunken ship).
Cool Math Games
Cheap Essay WriterIntegral Calculator
The present chapter, as well as the following ones, is devoted to games, which mandatory attributes are board and figures (checkers, chips). There are hundreds of games with participation of a board and figures, about all and you will not tell. Our book covers the most popular games, as well as their various modifications. We are talking about chess games, a checkers, games such as "tic-tac-toe", the game Go. Some of them are very common, and many people are seriously fond of them, other games are entertaining or mathematical character.Chess gamesMost games on the boards have a long history, the literature devoted to them is truly endless. Tens of thousands of titles are only chess publications.

Rich literature and on checkers, Randzu, Go. The theory of various games on square and rectangular boards takes a significant place in serious works on mathematics. More simple games are described in numerous books on entertaining mathematics, and also in the literature on the theory of games, the theory of graphs, combinatorial.This chapter is devoted to chess games, and the next one to checker games. As many of the considered modifications noticeably differ from chess and a checkers in which we are used to play, it is necessary to specify what we mean by chess and a checkers games. Both in chess and checkers need a board and pieces. In checker games these figures are called chips, dice or simply checkers. They do not differ in appearance and moves, and have only different colors (usually white and black). Checkers are allowed to turn into ladies, towers or other figures, but the principal difference between the moves of new and old figures do not.
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As for chess, the set of pieces is much wider, each has its own characteristic features, they both look different and walk differently. In chess, the battle is fought on the whole board, and in checkers, as a rule, on the fields of the same color. However, in the Randzu and Go dice are filled in all the fields of the board. These checker games are a few away from traditional checkers and live an independent life. Therefore, in the book they occupy two separate chapters.Draughts games have more ancient history and wider assortment, than chess. However, the author of the book, being a chess master, could not afford to put checkers ahead of chess! First, as you can see, there is a chapter dedicated to chess games, and only after it - checkerboard.There are many chess books, manuals, textbooks, which set out the rules of the game, questions of strategy and tactics. The same applies to traditional a checkers - both Russian and soklet. We assume that these games, so popular in our country, are familiar to the reader, and focus on unusual and less known variants of games.