Englsh Version.

Overview of research areas.







The purpose of creation of the given site - demonstration of that is made, specifically by the author, on a theme Life/Evolution, the intellectual game invented by J.H.Conway more then 45 years ago.


New Game of Life/Evolution - game rules, examples, theory elements. Play, experiment, write down courses, create the etudes, name the name, give favourite, develop practice, create the game theory! Infinite quantity of the configurations subject to players! Fantastic riches of combinations on a chessboard!


New Game - Life+, chess Evolution, intellectual game for youth and students, working, scientific, pensioners... The chessboard, one - two complete sets of usual draughts is everything that is necessary for the Game!


Chess Life+/Evolution - pair, in the limited space, an active variant of the Game of Life. New Evolution - game rules, examples, theory elements. Play, experiment, write down courses, create the etudes, name the name, give favourite, develop practice, create the game theory!


Except stated, so Life+ in its various variants: colour and volume, helicoid and cyclotrons, chess and billiards on a chessboard is not dull leisure where new and not investigated, without exaggeration, meets continually, induces to expansion of the knowledge in various areas of a science...


Classification of Life+/Evolution by dimension and chromaticity signs, by directions and rules of transformations, in particular, to values of constants of evolution, in the sizes and activity of a game field, its geometry, by quantity of players, activity of game is carried out.


In a material are considered active, with direct algorithm of game on a plane, mainly black-and-white, on the limited inactive field, in rectangular system of co-ordinates, in its pair variants. Restriction of a game field is realised by a rule of reflexion from borders.


Activity of game is realised by a rule of introduction-deducing by players in the course of game of chips on a game field. In a black-and-white, chess variant the prepotent, dominant algorithm of transformations is used, cumulative purposes in new Game of Life+ are given.


Algorithmic modification of the Game of Life. Volume Сhess Life+/Evolution. In material are considered three-dementional, dimensionality L3T, with direct algorithm of the transformations, as monochrome , so black-and-white, in limited inactive volume, in rectangular system of co-ordinates, in mono- and pair variants of the Game.


The Restriction of the playing volume is realized by procedures of the reflection or absorptions on its border. Activity or passivity of the game is realized by possibility of introduction - removing in process of the play chips in playing volume. Such Evolution is defined as volume, three-dementional in chess its variant. Happen to as computer, so desk realization.


Evolution-Life+ expansions on games in colour are offered: on algorithm of averaging of colour of again formed chip; on algorithm of superposition when the figure is represented consisting of three in the basic tones; on nominant algorithm when min and max colours in a generating triad are rejected, and colour of a birth defines the remained.


As the special case of the previous is considered prepotent - dominant algorithm in a black-and-white variant of game when colour of a chip is defined on prevalence of colour in a generating triad. Except colour - volume algorithms are investigated, and the last are given in the formalized kind, and representations of figures are carried out by rules chess and Excel notations.


Billiard systems of evolutin. Pattern movement in the channel is limited in the mirror or wadded image. Algorithm of transformations is orthogonal as providing pattern movement in the channel with certain speed and acceleration.The length of the channel unlike the specified systems is commensurable with its width. Mirror or wadded borders conclude a pattern in an original trap, moving which on a game field with certain speed, in this or that direction it is necessary to deliver lost-free a pattern to a billiard pocket.
Feature of game is that that an actively developing pattern through open gate of a trap can seep in open space if parameters of its motion is selected inexact. Consequence of such infiltration is difficultly operated nuclear reaction of growth of a configuration.


Helicoid and cyclotron systems of evolution. Helicoid systems is a representation in the form of a spiral, of the channel, of the narrow process of evolution limited from three parties. The channel of movement of a pattern is limited in the mirror or wadded image. Algorithm of transformations is mainly orthogonal as providing pattern movement in the channel with certain speed and acceleration.
Helicoid systems are presented by monochrome and the chess type, representing all civilisation or only the head of process, one or several (two) civilisations in their competitive development. A special case of the stated - cyclotrons Shch when pattern development occurs on a circle or an ellipse, on a cylinder surface, on Moebius's surface…


The problem of searching for of the predecessor forward given one-coloured figure Is stated. Offered heuristic and machine, on method Monte-Carlo ways of the decision of this problem. Happen to the concrete results. Stated is reduced to optimum, on shown here criterion to models of the development of the generations. The problem of searching for of the predecessor is put in varicoloured and three-dementional variant of Evolution. Representation of the figures is realized by the rules chess and Excel notation.


Algorithmic modification of the Game of Life. Volume Сhess Life+/Evolution. In material are considered three-dementional, dimensionality L3T, with direct algorithm of the transformations, as monochrome , so black-and-white, in limited inactive volume, in rectangular system of co-ordinates, in mono- and pair variants of the Game.


Evolution expansions on games in colour are offered: on algorithm of averaging of colour of again formed chip; on algorithm of superposition when the figure is represented consisting of three in the basic tones; on nominant algorithm when min and max colours in a generating triad are rejected, and colour of a birth defines the remained.


As the special case of the previous is considered prepotent - dominant algorithm in a black-and-white variant of game when colour of a chip is defined on prevalence of colour in a generating triad. Except colour - volume algorithms are investigated, and the last are given in the formalized kind, and representations of figures are carried out by rules chess and Excel notations.


In Addition - the Computer graphics and Practical applications. Some exhibits of the Game of Life/Evolution: logoes, abstract scenes, design of the works of art...


Here Evolution/Life+, unlike classical Life is a pair, active game on a chessboard! Except stated, so Life+ in its various variants: colour and volume, helicoid and cyclotrons, chess and billiards on a chessboard is not dull leisure where new and not investigated, without exaggeration, meets continually, induces to expansion of the knowledge in various areas of a science...


At the same time, the author concerns with the subject Alternative tourism in Russia, which is defined as by itself organized tourism of the non-standard notable places. One more direction occupation author - colour-geometric prospecting, which presents searching for of the additional expressive facilities of the poetical process. If there are adherents, interested persons - join!




About sources.

The fantastic combinations... game "life", Scientific American, № 4, 1970.
M.Gardner, Matematicheskie dosugi, Mir, 1972.
Magazine Nauka i Zhizn, N8, 1971; N8, 1972, etc...
Internet: visti.net/skl, beluch.ru, michurin.net,.. sites and monography of the author, etc.


Chess Evolution /Lambert, 2012, p. 88/.

Summery List.
Introduction.
Section I. Game rules and the elementary examples.
Section II. The passive beginnings and continuations.
Section III. The active beginnings and continuations.
Section IV. Stable configurations and the terminations.
Section V. Colour collisions and border formations.
Section VI. Other games.
Symbols.
The dictionary of terms.
Appendices.


See else at http://shcheglov.clan.su/index/lection/0-19



Keywords:

John Horton Conway
Game of Life
Life+
Evolution
Predecessor
Helicoid & cyclotron
Billiard & labirinth
Full-color
Two-color & chess
Volume & 3D
Activ game
Azart game
Gennady Shcheglov

Englsh Version.

Overview of research areas. Sources. Keywords.

Material in preparation. See else 'Traler' on website!



Dr. Gennady P. Shcheglov

www.shch08@bk.ru


Рейтинг@Mail.ru