RU2682764C2 - Dice game “ternaris” and device for playing this method (versions) - Google Patents

Abstract

FIELD: games.SUBSTANCE: invention discloses a saloon game method with a random game play. Disclosed game method is realized using a device, which includes several dice (ternary zar) in the form of polyhedrons, on faces and other special points of their surface there are applied symbol images of single-digit numbers corresponding to alphabet of selected position number system. Marking of each ternary dice corresponds to the position (digit order number) of the dropped digit in the numerical record of the outcome of the throw. Device also includes a gaming board in the form of a stylized cloverleaf. Gaming board has a side enclosure around the perimeter, which limits the size of the playing field. Profile of inner wall of this side enclosure has concave-convex shape, which eliminates possibility of controlled throws of ternary dice.EFFECT: disclosed method enables to conduct a fair game in the shortest possible time so that the probability of occurrence of the random outcome is uniformly distributed, and the winner (loser) is determined directly by the sign of the number falling after the throw.1 cl, 11 dwg

Description

The present invention relates to the field of non-production needs of society, namely: to the section "Meeting the vital needs of man", the class of games, sports and mass entertainment, and is intended for use in the field of entertainment and leisure. The dice used to implement the method can be used separately to generate random numbers.

Dice game (“Dice”) refers to the class of games with a random outcome of one or more random moves, for which the probability distribution is known for all possible games. In this way, the winner of the bet is usually identified, in which the loser must fulfill the contractual obligation. If the game is played for money, then all possible outcomes are assigned numerical payments. The game must be fair, as only in this case the conditions of randomness of the final outcome and its independence from the results of previous moves are observed. The main element of the device, which determines the favorable outcome of a random move in the form of a drawn number, is a random discrete natural number generator, which is a classic hexagonal one-color perfect gambling dice.

Dice games ("Dice") are street and salon. The Craps method gained the greatest popularity and distribution among salon games (for a full description see Scarne on Dice by John Scarne, 8th rev. Edition, Wilshire Book Co, us, Dec. 1992. - p. 52-179, - 527 p.). This method consists of a series of sequential steps. The organizer, who may not be among the participants (players), announces the start of the game and its first game. Then, each of the players, the number of which is not limited, announces his choice of a favorable outcome and reinforces it with a bet of special gambling chips, which are installed on the designated places (horses). Players can bet both with each other and with the organizer of the game. After stopping the acceptance of bets, the game organizer offers the player who, with the consent of the others, is instructed to play the game ("shooter"), choose two out of five dice that will be played. Throws the dice “shooter” at the same time in an established manner by hand or by any other method known in the art, throws it onto the playing field so that they stop rolling several times before stopping it. A random total number or a combination of its terms falling on the upper faces of the gambling dice is declared the outcome of the throw and is compared with the announced bets. After that, players for whom the outcome of the throw was favorable are paid prizes in accordance with the established payments. The remaining bets are considered lost. They are either distributed among the winning players in proportion to their bets, or are alienated in favor of the organizer of the game. The party is usually held in two rounds. The game is represented by a block diagram (Fig. 1) and lends itself to algorithmization.

The structure of the device intended for the Craps salon, in addition to the gambling bones, also includes a large rectangular gambling table, the table top of which is marked as a standard “two-sided” playing field. On it are marked the horses for laying out gambling chips, next to which are shown the ratios of bets and payments on them in case of winning. The table is framed by a wall of the side fence, which surrounds it around the perimeter and limits the size of the playing field. Along the table reserved places for players and staff of the organizer of the game.

The disadvantages of this known method include the use of traditional gambling bones. The outcome of the throw is determined by summing the unique natural numbers, which in the form of a certain number of points (from one to six) mark the faces of such gambling bones. The basis of the representation of numbers on the faces of such dice is a unary non-positional number system related to additive number systems. In such number systems, the value of the number does not depend on the place (position) of the digit in the record of the number, but is determined only by the sum of all the numbers included in the record. This property of traditional dice is of fundamental importance for determining the resultant number (outcome) of a throw of several dice: if the appearance of a random discrete number on the upper face of each individual dice has a uniform distribution, then the sum of two randomly dropped numbers takes on a triangular distribution. With an increase in the number of thrown gambling, the probability distribution function of the total number tends to the normal distribution of a random discrete value with a mathematical expectation equal to its average value. For a game with two classic dice, this value is 7, and the probability of its loss is greatest. In the method of playing “Craps” this feature is taken into account, and the game is usually carried out in two rounds, and the second round may contain several cycles.

Closest to the method of playing dice "Craps" and to the claimed method according to the maximum number of similar features is the method "Game board and dace usable therewith); (see US Pat. 4,346,900, publ. Aug. 31.1982, Int. Cl. A63F 3/00; A63F 9/04), which is taken as a prototype. The main difference between this method and the Craps method is that here you can use not only identical traditional hexagonal dice in the form of a cube, but also polyhedra of other species, in particular, tetrahedrons, octahedrons or dodecahedrons. Also, the opposite faces of each gambling bone are painted in a certain color, inherent only to these faces. In addition, the marking of the playing field is made in the form of concentric rings, divided into segments. Each segment serves as a horse for a bet of a certain type and is marked with the corresponding payout coefficients for winnings. The game party is held in one or two rounds, depending on the outcome of the acceleration throw.

The disadvantage of this method is again that the faces of polyhedra of any kind used as dice are also marked with natural numbers of the class of units, and the outcome of the game is determined by the sum of the numbers dropped on the upper faces of the dice. Accordingly, regardless of the type of gambling used, the outcome of the game is not evenly distributed, but corresponds to a triangular distribution of random discrete numbers, and the probability of a winning outcome in the first round equal to the average value of a random discrete value is always not lower than the established losing value. At the same time, the probability of the Point value falling is always much higher than winning or losing. Accordingly, the second round of the party in which the Point value set in the first round is played out is almost inevitable, and the probability of any Point value falling out in this round is always lower than the mathematical expectation of the average value of the random outcome. It follows from this that in the second round, the shooter is always more likely to lose than to win.

Of these features of such methods of playing, the so-called “casino advantage” arises, which is the reason for the permanent alienation of the established part (percentage) of each payment for each win in favor of the game organizer. The only exceptions are the two types of bets on which the game is fair, and only when winning in the first round. For the other types of bets, the “casino advantage” in “Craps” always exists and can reach 13.89%. The “casino advantage” in “Craps” accepts its minimum value of 1.414% only for the “shooter” at his initial rate after he won a game of two rounds. Statistically, he wins at such a rate on average in 244 cases out of 495 throws if the game is played in two rounds. So often losing a win is one of the reasons why playing Craps is so popular. Nevertheless, the objectively existing “casino advantage” indicates that if two parties have started a dispute that each of them risks losing, then in this dispute there is always room for a third party (organizer of a dispute, game), which always wins regardless of the result dispute resolution. Her income for any outcome is free of risk.

In addition, the disadvantages of the device that is used to organize the game include the fact that it does not provide a way to protect the result of the throw from the players using the so-called controlled throw of gambling dice. A controlled throw is a set of techniques for throwing the gambling dice so that the combination of numbers (faces) collected by the player before the throw does not change its value (configuration) after the gambling falls on the playing field.

The objective of the invention is the organization of such a method of playing dice, which would be devoid of the above disadvantages, made it fair by ensuring an even distribution of random outcomes of rolls of gambling dice, and the gain or loss and its value are uniquely determined by the value and sign (positive or negative) of the number, which falls on the upper faces or on other characteristic points of the surfaces of the gambling bones used to implement this method, and will allow to carry out a batch in one round for uv lichenie game tempo.

In addition, the objective of the invention is to provide a device that implements the claimed method of playing, characterized by a new type of gambling dice - ternary zaras, with which random outcomes of the game are represented by real numbers recorded in a positional number system, and the inclusion of a new form in the gaming table device for circular convenience marking the playing field, which will allow you to use the whole variety of opportunities provided by the claimed method of the game, as well as a new profile form of the inner surface of the side fence, which surrounds the gaming table around the perimeter to limit the size of the playing field, which helps to neutralize the controlled throws of the players.

The problem is solved due to the fact that the method “Game board and dace usable therewith)) in accordance with the invention includes the steps, in the first of which the organizer of the game in the person of the dealer announces its beginning, after which the players announce their bets and form the central bank, depositing the corresponding number of chips in the center of the playing field and / or by placing bets on the Pass or Out line and / or on existing horses, and the player recognized as a point guard (“shooter”) selects from the proposed set of gambling dice (ternary charges) , about quantity and order The new numbers of which the bank's depositors have agreed before the start of the game, which he then throws into the game with his hand or in any other way known in the art, so that ternary zaras hit the inner surface of the side fence wall before they fall onto the playing field a gambling table around the perimeter to limit the size of the playing field, and fell within the playing field so that it was possible to uniquely identify the polyhedral that fell on the upper faces, other special points on the surface The numbers adopted for the materialization of ternary dashes, the outcome of the throw: the magnitude and sign of the resulting number, the combination of the dropped numbers and the color combination of the symbols of these numbers, after which the dealer announces the outcome of the throw, and the boxman duplicates it by typing on the keyboard of the demonstration display, the screen of which is clearly visible in each point of the gambling salon, compares it with the predicted outcomes on which bets were placed, after which the stickman collects the losing bets, and the dealer pays the winnings and announces the start of a new game or rshenii game.

At the same time, in the proposed one-round game with the central bank, preferably two cubic ternary zaras “shooter” wins the bank if the combination of two positive units in the highest and lowest digits of the drawn number falls to the ternary zaras and to the other players - depositors of the bank and the rest winning bets placed on the gambling field outside the central bank, the dealer at the expense of the organizer of the game returns their bets and pays the winnings in the ratio 1: 1, and the party ends.

Also, in the proposed method of playing in one round with the central bank, preferably two cubic ternary zaras “shooter” and other players - depositors of the bank lose the bank if the combination of two negative units in the highest and lower digits of the dropped out number and other losing bets fell on ternary zaras placed outside the bank are alienated to the organizer of the game, and the game ends.

In addition, in the proposed method of playing one round with the central bank, preferably two cubic ternary zaras for all bets made, neither winners nor losers are announced, and the “shooter” gets the right to re-roll if a combination of two zeros in the highest and the lower ranks of the drawn number, and the game can be continued with a new batch if neither the “shooter" nor the other players - depositors of the bank expressed their desire to leave the game with their bet in the central bank, while other players placed Those who have placed their bets outside the central bank may, if they wish, either leave the game without losing a bet or take part in a new game.

At the same time, in the proposed method of playing one round with the central bank, preferably with two cubic ternary zaras, the “shooter” loses his bet in the central bank to other players - bank depositors who distribute it among themselves in proportion to their deposits if a combination of a negative unit falls on ternary zara in the high order and units in the low order of the drawn number, and the game ends.

In addition, in the proposed method of playing one round with the central bank, preferably the “shooter” wins the bank with two cubic ternary zaras and the other players — depositors of the bank — lose their deposits in the bank if a combination of a unit in the senior category and a negative unit has fallen on the ternary zaras in the junior category of the drawn number, and the game ends.

Also in the proposed method of playing one round with the central bank, preferably with two cubic ternary zaras, the “shooter” loses his bet in the central bank in favor of the organizer of the game, if the combination of a negative unit in the highest rank and zero in the lower rank of the dropped out number falls on the ternary zara, the right to throw in and leaves the game, and other players - depositors of the bank get the right to invite a new player to the bank with their bet or continue drawing the remaining part of the bank with a reduced composition and determination share with a new “shooter”, or withdraw their bets from the bank, close it, and ask the dealer to announce the end of the game.

In addition, in the proposed method of playing one round with the central bank, preferably with two cubic ternary zaras, the “shooter” retains his bet, the right to throw and participate in the game, but may leave the game with his bet if a combination of zero in the highest category falls on the ternary zaras and a negative unit in the low order of the drawn number, and other players - depositors of the bank lose their deposits in the bank to the organizer of the game, and the game ends.

At the same time, in the proposed one-round game with the central bank, preferably with two cubic ternary zaras, the “shooter” wins the game organizer in the ratio 1: 1, if the combination of one in the highest rank and zero in the lowest rank of the dropped out number falls on the ternary zaras leave the game with his bet and win along with other players - depositors of the bank, for whom there remains the right to withdraw their deposits from the bank, and the game ends.

Also in the proposed method of playing one round with the central bank, preferably with two cubic ternary zaras, the “shooter” retains the right to participate in the game, throw in or exit the game with his bet if the combination of zero in the highest rank and one in the lower rank fell on the ternary zaras of the dropped out number, and other players - depositors of the bank, win the game organizer in terms of their contributions to the bank in the ratio of 1: 1, and the game ends. A one-round game is represented by a block diagram (Fig. 2) and lends itself to algorithmization.

At the same time, in the proposed one-round game with the central bank, it is preferable to play three or more cubic ternary zaras if there are more than three players-depositors of the bank, and then the outcomes of throwing ternary charges determine the winnings or losses of the players similarly to the previous points, taking into account the proportionally increased number of winning , losing or uncertain outcomes, combinations of dropped numbers and / or color combinations of upper faces, other special points on the surface of ternary charges.

In addition, the proposed method of playing can be carried out in two rounds without a central bank, preferably with several cubic ternary zaras, and then the shooter and other participants in the game lose their bets to the organizer of the game on the Pass line when negative units drop out on ternary zaras in all consecutive digits of the drawn number , and the game ends, they defeat the organizer of the game in a 1: 1 ratio when units fall out in all consecutive digits of the drawn number, and the game ends, the "shooter" gets the right to a new booster throw in case of several zeros in all consecutive digits of the dropped number and gets the right to a decisive roll if after the booster roll the dropped number is any combination of negative units, zeros and units in all its ranks, which is declared by the dealer with the Point combination, and the party goes into the second round, in which the bets on the “Pass” line are played to the game organizer when negative units appear in all consecutive digits of the drawn number, and the game ends, and whether the bets on the “Pass” line are won by the organizer of the game in the ratio 1: 1 when positive units are dropped in all consecutive digits of the dropped number, or does the “shooter” get the right to a new decisive throw when several zeros are dropped in all consecutive digits of the dropped number or any combination negative units, zeros and units in the dropped out number, different from the established “Point” combination, and they are won by the organizer of the game in a 1: 1 ratio when the “Point” combination appears.

Moreover, in the proposed method of playing two rounds without a central bank with several cubic ternary zaras for bets made on the “Eliminate” line, it is preferable to accept winning and losing combinations of negative units, zeros and positive units that are opposite in meaning, value and payouts to the combinations established for bets on the Pass line, with the exception of a combination of zeros in all consecutive digits of the drawn number, at which bets on the Out line are recognized as winning in the ratio 1: 1 and "Point" roigryshnymi a roll combination. A game in two rounds is represented by a block diagram (Fig. 3) and lends itself to algorithmization.

This result is also achieved by the fact that the device for implementing the claimed method uses a gaming table with seats adapted to accommodate players and employees of the game organizer, framed around the perimeter by a vertical side fence, the walls of which surround the gaming table around the perimeter and limit the size of the playing field, and has on its surface there is a playing field with multi-colored sectors marked on it, on which the horses are drawn for bets, the “Passes” and “Out” ring zones and the field for the central bank, as well as a marker that is moved to indicate a con with a combination of “Point” when playing in two rounds, despite the fact that the gaming table is made in the form of a stylized trefoil, the profile of the inner surface of the side fence wall that surrounds the gaming table around the perimeter and limit the size the playing field has a concave-convex shape, and the gambling dice of the ternary zar type are made in the form of polyhedrons identical in shape, in which on the faces, other special points of their surfaces, unique numbers are written in the form of numbers, other s oxen, corresponding alphabetical positional number system (MSS) selected for implementation of the method, each conditional Zara labeled label or has an individual color, indicating the position (level), which figures on this dawn occupy in the resulting record number in the received MSS.

The proposed technical solution meets the requirements of the invention of "novelty" and "inventive step", because conducted patent information research did not reveal technical solutions that anticipated the proposed method, a device for its implementation or possessing essential features of the invention.

The essence of the proposed method is to use for the purpose of determining the outcome of a throw of the gambling dice and its numerical representation of the possibility of positional number systems (MSS) - one of the ways to represent a set of numbers using a limited set of characters. To do this, instead of unambiguous natural numbers represented as a set of points that mark faces in traditional dice, it is advisable to use a different set of symbols in the form of numbers, other types of characters representing the alphabet of the accepted MSS, which is determined by the basis of the MSS, and each individual gambling to assign its irreplaceable position (discharge) to the bone so that the symbols of this MSS, printed on the face, other special points on the surface of the polyhedra used to materialize the gambling n, were located in the resulting number in the established order and occupied the places (positions) assigned to them (see Banya E.N., Selivanov V.L. On the features of constructing number systems of different classes. Visnik NTUU "KPI". Informatics, management is enumerated technology: Zb.nauk.pr., No. 48 - K .: Century +, - 2008. - p. 173-178).

It is known that any number in the MSS can be written as

,

,

where i is the number of the category (position) of the digit,

a _i - digit of the i-digit (weight of the i-th familiarity, 0≤a _i ≤p1),

p is the base of the number system,

p ⁱ - weight coefficients of the i-discharge,

m and n are integers denoting the number of the least significant and highest digits of the number, respectively.

, а сокращенно - в виде последовательности цифр

. Цифра, соответствующая единицам, определяется по положению запятой.In a p-ary number system, the number of characters in the alphabet is (p-1), and a _i are the characters (numbers) allowed in this system. The number containing the integer and fractional parts is written in any MSS in the form

, and in abbreviated form as a sequence of numbers

. The number corresponding to units is determined by the position of the comma.

. Такая система называется троичной симметричной ПСС. Для числа - 1 принята его стандартная запись в виде

. Развертка тернарных зар, промаркированных этими символами и цветом каждой зары, представлена на Фиг. 5. Этим выбором не ограничивается возможность использования в тернарных зарах других оснований и алфавитов, если возникнет потребность использовать их для генерации случайных чисел (ГСЧ) в других, игровых или неигровых, устройствах. Цель использования тернарных зар как ГСЧ будет диктовать вид, форму, основание и алфавит ПСС.In the particular case, the use of integers for the game of dice allows you to clearly demonstrate its new properties. To describe the invention, an odd positive integer 3 is preferably selected with the base R pSS, and numbers (alphabet)

. Such a system is called the ternary symmetric MSS. For the number - 1, its standard entry in the form

. A scan of the ternary zar marked with these symbols and the color of each zara is shown in FIG. 5. This choice is not limited to the possibility of using other bases and alphabets in ternary zaras, if there is a need to use them to generate random numbers (RNG) in other, gaming or non-gaming devices. The purpose of using ternary charges as an RNG will dictate the form, shape, base and alphabet of the MSS.

[(«тощая единица») и

(«тучная единица»), и полю символа присвоен белый цвет. Цифре 0 соответствуют символы

(«тощий ноль») и

(«тучный ноль»), и полю символа присвоен красный цвет. Цифре

соответствуют символы

(«тощая минус единица») и

(«тучная минус единица»), и полю символа присвоен черный цвет. Такое удвоение символов делает возможным учесть все 6 возможных вариантов случайного выпадения любой грани единичной кубической тернарной зары и использовать в игре всех 36 размещений с повторениями (комбинаций), которые могу выпасть на верхних гранях, например, двух кубических тернарных зар. Использование в игре трех и более кубических тернарных зар ведет лишь к увеличению значения числа, но не влияет на равномерность распределения вероятности их выпадения. На Фиг. 4 изображены все комбинации, выпадение которых возможно при бросании двух кубических тернарных зар. Эти комбинации нанесены на поверхность игрового поля игорного стола в пределах соответствующих им секторов и являются конами для ставок, выплаты по которым, в случае выигрыша, производятся в соотношении 35:1. На Фиг. 4 также изображена числовая ось и сравнительная таблица значений чисел в троичной симметричной ПСС и десятичной несимметричной ПСС, которые могут выпасть после броска трех тернарных зар.To identify the possibilities that are hidden in the game in a new way, in the device that implements the invention, for clarity of the outcome of the throw, a pair of symbolic markings of faces in the selected symmetric MSS is adopted. The numbers +1 correspond to characters]

[(“Skinny unit”) and

(“Fat unit”), and the symbol field is set to white. The number 0 corresponds to the characters

("Skinny zero") and

("Fat zero"), and the symbol field is assigned a red color. Figure

match characters

("Skinny minus one") and

("Fat minus one"), and the symbol field is assigned a black color. Such a doubling of characters makes it possible to take into account all 6 possible variants of the random loss of any face of a single cubic ternary zara and use in the game all 36 locations with repetitions (combinations) that can appear on the upper faces, for example, two cubic ternary zar. The use of three or more cubic ternary charges in a game only leads to an increase in the number, but does not affect the uniform distribution of the probability of their occurrence. In FIG. 4 shows all combinations, the loss of which is possible when throwing two cubic ternary charges. These combinations are deposited on the surface of the playing field of the gambling table within the sectors corresponding to them and are the cones for bets, payments on which, in case of winning, are made in the ratio of 35: 1. In FIG. 4 also shows the numerical axis and the comparative table of the values of numbers in the ternary symmetric MSS and the decimal asymmetric MSS, which can occur after the throw of three ternary charges.

In order to mark ternary zaras in accordance with the discharge i, which they are given when writing numbers, on the faces and other special points on the surface of the polyhedra that will be used to materialize ternary zar, labels corresponding to the discharge are applied. For example, a hexagonal ternary dawn, on which the drawn number corresponds to the weight of the first digit (3 ⁰ = 1) has no labels. For a hexagonal ternary zara corresponding to the second category (with a weight of 3 ¹ = 3), one mark is applied to its vertices, the third category (with a weight of 3 ² = 9) corresponds to two labels at the vertices, etc. It is possible that each category of the drawn number corresponds to a ternary dawn of a certain color. For example, in the first digit of the number that became the outcome of a specific throw, the number that appears on the red hexagonal dawn is recorded. In the second digit of the same number, the number that appears on the white hexagonal dawn is recorded. In the third category - the number that fell on the black hex dawn. The fourth digit corresponds to the digit on the yellow hexagonal dawn, and the fifth to the digit that fell on the green hexagon dawn.

In addition, in order to assign a unique correspondence of each zara to its category, the sum of a pair of numbers on the opposite sides of each zara is different from one another. For the hexagonal dawn corresponding to the first bit of the resulting number, the sum for all pairs of numbers on opposite faces is zero. Accordingly, the color of this dawn is red. For the hexagonal dawn of the second category, the pairwise sum of the numbers of its opposite faces is -1, 0 and +1. The color of this dawn is white. For the hexagonal dawn of the third category, the pairwise sum of the numbers of its opposite faces is -2 ₁₀ , +1 and +1. The color of this dawn is black. For the hexagonal dawn of the fourth category, the pairwise sum of the numbers of its opposite faces is -1, -1, and +2 ₁₀ . And for the hexagonal dawn of the fifth category, the pairwise sum of the numbers of its opposite faces is -2 ₁₀ , 0 and +2 ₁₀ . The color of this dawn is green.

(«тощая единица») и

(«тучная единица»), и грани присваивается белый цвет. Цифре 0 будут соответствовать символы

(«тощий ноль») и

(«тучный ноль»), и грани присваивается красный цвет. Цифре

будут соответствовать символы

(«тощая минус единица») и

(«тучная минус единица»), и грани присваивается черный цвет.To increase the attractiveness of ternary zar for players, you can use emoticons as numbers symbols (for example, in a ternary symmetric PSS). Then the number +1 will correspond to the characters

("Skinny unit") and

(“Fat unit”), and the face is set to white. Digit 0 will correspond to characters

("Skinny zero") and

("Fat zero"), and the face is assigned a red color. Figure

characters will match

("Skinny minus one") and

("Fat minus one"), and the face is assigned a black color.

, т.е. равно среднему арифметическому всех принимаемых значений. Увеличение количества используемых тернарных зар, которые принимают участие в игре, на значение величины М_х=0 не влияет, поскольку математическое ожидание линейно.Due to the use of ternary charges and a symmetric PSS in the inventive method for detecting the outcome of a throw in a game, a fair game is realized simply because the mathematical expectation of a random variable for each of the ternary charges is

, i.e. equal to the arithmetic mean of all accepted values. The increase in the number of used ternary charges that take part in the game does not affect the value of M _x = 0, since the mathematical expectation is linear.

The use of a symmetric PSS in the known method for recording the numerical result of a throw of gambling dice and the use of a new type of gambling dice - ternary dots, on faces, other special points on the surface of polyhedra accepted for their materialization, on which numbers written down by numbers appear on the playing field after they stop , with other symbols that directly and unambiguously determine the value of the corresponding category of the dropped number together with its sign, a fair game is achieved, directly of revealed the winner party, and its value is determined by the winning payout ratio adopted. In addition, the inventive method allows to increase the pace of the game, because statistically, the game does not exceed three parties, which are held in one round.

в выбранной ПСС принять первое слагаемое равным нулю. В этом случае шестигранная тернарная зара, соответствующая первому разряду целого числа, займет в дробной части числа место первого разряда после запятой, соответствующая второму разряду - займет второе место, и так плоть до пятого разряда после запятой. В результате, после каждого броска тернарных зар будет генерироваться пятиразрядное троичное число из требуемого диапазона. Полученные случайные числа с помощью стандартных способов перевода, при необходимости, переводятся в любую другую ПСС с любым другим основанием.The use of ternary charges for generating random numbers is based on the fact that the numbers that appear on them after a stop meet two basic requirements for a random number generator (RNG). The first is that the distribution of random numbers must be uniform, and it is satisfied in the considered case initially. The second requirement is that the generated numbers must be in the range {0,1}. It is not difficult to fulfill this requirement if the number in the record

in the selected MSS take the first term equal to zero. In this case, the hexagonal ternary dawn corresponding to the first digit of the integer will take the place of the first digit after the decimal point in the fractional part of the number, the second digit will take the second place, and so the flesh to the fifth digit after the decimal point. As a result, after each throw of ternary charges, a five-digit ternary number from the required range will be generated. The resulting random numbers using standard translation methods, if necessary, are transferred to any other MSS with any other reason.

The use of other types of polyhedra for materialization of ternary zar, for example, dodecahedrons or stellate cuboctahedrons, and the use of the 12-decimal PSS, expand the range of random numbers generated by ternary zaras. In addition, the use of real numbers with an integer or non-integer base, as well as complex numbers, to select the base of the MSS allows you to generate random numbers from a predetermined set.

Mentioned dice - ternary zaras are made of homogeneous solid material according to generally accepted technology. The gaming table is made of wood or other material suitable for the manufacture of furniture. The surface of the countertop and the side fence wall that surrounds the gaming table around the perimeter to limit the size of the playing field is covered with a woven or non-woven material, usually used for coating gambling tables and billiards.

The device of the present invention can be implemented both in the form of physical components, and as a computer game installed on a computer, tablet, smartphone or other computing devices. In this form, players can play through a private or public network (for example, the Internet) against each other locally or remotely without a computer playing for one of the parties. In alternative embodiments, the computer may play on one or more sides.

In order to provide conditions for various computer implementations of the main aspects of the present invention, the following is a brief general description of a suitable computing environment in which various aspects of the present invention can be implemented. A computing system environment is one example of a suitable computing environment, but is not intended to impose any limitation on the scope of use or functionality of the present invention. The computing environment may contain any one or a combination of the following components, and may contain additional components, or some of the illustrated components, which may be absent. Various embodiments of the present invention are contemplated that may work with a variety of computing systems, environments or configurations, both general purpose and special purpose. Examples of computing systems, environments or configurations that may be suitable for use with various embodiments of the present invention include, but are not limited to, personal computers, laptop computers, computer servers, computer laptops, handheld devices, microprocessor systems, multiprocessor systems, TV set-top boxes and devices, programmable consumer electronics, cell phones, personal digital assistants (PDAs), tablets, smartphones, touch screen devices properties, smart TV, Internet-connected appliances, Internet security support systems, Internet-connected game systems, Internet-connected watches, Internet-connected cars (or transport devices), network personal computers, minicomputers, universal computers, embedded systems , virtual systems, distributed computing environments, streaming environments, mobile environments, and the like.

Embodiments of the present invention may be implemented as computer-executable instructions, such as program code or program modules, being executed by a computer, a virtual computer, or a computing device. The program code or modules may include programs, objects, components, data elements and structures, procedures, routines, functions, and the like. They are used to perform or implement specific tasks or functions. Embodiments of the present invention may also be implemented in distributed computing environments. In such environments, tasks are performed by remote data processing devices connected via a communication network or other data transmission medium if the data, program codes or modules are located on both local and remote storage and transfer devices of computer data, including memory, such as, but not exclusively, hard drives, solid state drives (SSDs), flash drives, USB drives, optical drives, and online storage (such as a cloud for storage).

In any embodiment, a computer system includes multiple client devices that communicate with one or more server devices via or over a network, although in some cases the servers may not be used. In various embodiments, the interworking network may include the Internet, an intranet, a wide area network (WAN), or a local area network (LAN). It should be noted that many of the methods of the present invention are operational within the same computing device.

The client device uses any type of processor-based platform that is connected to the network and that interacts with one or more application programs. Each client device contains computer-readable media in the form of volatile and / or non-volatile memory, such as read-only memory (ROM) and random access memory (RAM) associated with the processor. The processor executes instructions of computer-executable programs stored in memory. Examples of such processors include, but are not limited to, microprocessors, ASICs, and the like.

Client devices can additionally include machine-readable media integrated with processors and adopted for filtering storage of program code, modules and instructions, which, when the processor starts up, prompts it to execute the program and perform the steps described in this application. Computer-readable information can be stored on any of the available media that can be accessed using a computer or computing device, and include both volatile and non-volatile media, removable and non-removable media. Computer-readable information may further include information residing on a computer and / or in data transmission media. Computer storage media includes storage media for information such as computer-readable instructions, data, data structures, or program code or modules. Examples of computer-readable media include, but are not limited to, any electronic, optical, magnetic, or other storage device or data device, diskette, hard disk, CD-ROM, DVD, magnetic disk, memory chip, ROM, RAM, EEPROM, flash - memory or memory of another technology, ASIC, configured processor, CD-ROM, DVD or other storage device on optical disks, magnetic tapes, magnetic tape, magnetic disk drive or other magnetic storage devices, or any other medium from which a computer processor can read instructions or which can store the necessary information. A data medium includes media that can transmit or carry instructions to a computer, including, but not limited to, a router, private or public networks, wired networks, direct wired connection, wireless networks, and other wireless means (such as acoustic, radio frequency, infrared or the like) or another transmission device or channel. These may include computer readable instructions, data structures, program modules or other data in a modulated data signal, such as a carrier wave or other signal transmission mechanism. The specified transmission may be wired, wireless or combined. Combinations of any of the above methods should also be included within the scope of computer-readable media. The instructions may contain code in any of the computer programming languages, including, for example, C, C ++, C #, Visual Basic, Java, and the like.

Components of a general-purpose client or computing device may further include a system bus that connects various components of the system, including memory and processor. A system bus can be any of several types of bus structures, including, but not limited to, a memory bus or memory controller, a peripheral bus, and a local bus used in any of a variety of bus architectures. Such architectures include, but are not limited to, industry standard architectures (ISA) - bus, microchannel architecture bus (MCA), extended ISA bus (EISA), video electronics standard association bus (VESA), and peripheral intra-system bus (PCI) bus.

Computing and client devices can also include a basic output / input system (BIOS), which contains basic routines that help transfer information between elements inside a computer, for example, during startup. BIOS is usually stored in ROM. In contrast, RAM typically contains data or program code or modules that are available or already in use by the processor, including, but not limited to, the operating system, application programs, and data.

Client devices can also include many other internal and external components, such as a monitor or display, keyboard, mouse, trackball, pointing device, touch pad, microphone, joystick, satellite dish, scanner, drive, CD or DVD or other input or output devices. These and other devices are usually connected to the processor via a user input interface connected to the system bus, but can also be connected using other interface and bus structures, such as a parallel port, serial port, game port, or universal serial bus (USB). A monitor or other type of display device is typically connected to the system bus via a video interface. In addition to the monitor, client devices can also include other peripheral I / O devices, such as speakers and a printer, which can be connected through a peripheral output interface.

Client devices can run on any operating system capable of supporting applications of the type described herein. Client devices can also support a browser or browser-enabled application. Examples of client devices include, but are not limited to, personal computers, laptop computers, personal digital assistants, computer laptops, handheld devices, cell phones, mobile phones, smartphones, pagers, digital tablets, Internet devices, and other processor devices. Users can interact with each other, as well as with other systems, networks and devices, over the network using the appropriate client devices.

The invention is illustrated by drawings, on which:

in FIG. 1 is a block diagram of a dice game “Craps” (“Dice”);

in FIG. 2 is a block diagram of a dice game with two hexagonal ternary zaras in one round, in which a comparative notation of numbers in a ternary symmetric MSS and in an asymmetric decimal MSS is used;

in FIG. 3 is a block diagram of a dice game with two hexagonal ternary zaras in two rounds, in which the notation of numbers in a ternary symmetric MSS is applied;

in FIG. 4 is a diagram for comparing numbers recorded in a ternary symmetric MSS, in a ternary asymmetric MSS, with numbers recorded in an asymmetric decimal MSS for two and three ternary charges, as well as all 36 character combinations that can occur when two hexagonal ternary rolls rolled after a throw charge;

in FIG. 5-a), - b), - c), - d), - e) - sweeps of hexagonal ternary charges of the 1st, 2nd, 3rd, 4th and 5th digits, respectively, which determine the digits the resulting number and place of characters in it, as well as the appearance of the hexagonal ternary dawn of the 1st category;

in FIG. 6-a), -b), -c), -g), -e) - sweeps of multi-colored hexagonal ternary zar of the 1st (the color of the zara - red), the 2nd (the color of the zara - white), the 3rd ( the color of the zara is black), the 4th (color of the zara is yellow) and the 5th (color of the zara is green), respectively, for which the color of the zara determines the place of the symbol in the resulting number, and in FIG. 6th), -g), -3), -i) and -k) - sweeps of multi-colored hexagonal ternary corresponding orders, on the faces of which the symbols of the alphabet of ternary symmetric MSS are applied in the form of emoticons of different colors and states;

in FIG. 7-a), -b), -c), -g), -e) - scan of multi-colored hexagonal ternary zar of the 1st (the color of the zara is red), the 2nd (the color of the zara is white), the 3rd ( the color of the zara is black), the 4th (color of the zara is yellow) and the 5th (color of the zara is green), respectively, for which the color of the zara determines the place of the Arabic numeral in the resulting number recorded in the ternary symmetric MSS;

in FIG. 8 - unfolding ternary zara in the form of a regular dodecahedron of the 1st and 2nd order and its general appearance;

in FIG. 10 is a general view of the ternary zara in the form of a star-shaped regular cuboctahedron of the first order;

форма профиля внутренней поверхности стенки бокового ограждения, которая опоясывает игорный стол по периметру и ограничивает размеры игрового поля. Цифрами обозначены: 1 - приемник банкнот; 2 - игорный стол с иговым полем; 3 - поле центрального банка; 4 - коны, маркированные в десятичной ПСС; 5 - коны, маркированные в троичной симметричной ПСС; 6 - линия «Проходит»; 7 - линия «Выбывает»; 8 - маркер; 9 - коны символьных комбинаций исходов; 10 - ящик для хранения и выдачи игровых фишек.in FIG. 11 is a general view of a gaming table with a markup intended for playing with two hexagonal ternary zaras, and is also shown in section

the profile shape of the inner surface of the wall of the side fence, which surrounds the gaming table around the perimeter and limits the size of the playing field. The numbers indicate: 1 - banknote receiver; 2 - gambling table with a gambling field; 3 - field of the central bank; 4 - horses marked in decimal PSS; 5 - horses marked in ternary symmetric MSS; 6 - line “Passes”; 7 - line “Retire”; 8 - marker; 9 - the cones of symbolic combinations of outcomes; 10 - a box for storing and issuing game chips.

The implementation of the game of dice "Ternaris" by the claimed method in one round, the block diagram of which is shown in FIG. 2, we consider for the case in which two hexagonal ternary zaras are used. The players and the game organizer or his representatives gather around the gaming table 2, which is schematically shown in FIG. 11. After the dealer’s announcement of the start of the game, the players who have agreed to form a central bank (central players), declare their deposits and put out the required number of chips, of which the declared rate is accumulated on a round field 3 in the center of the gaming table. The rest of the players who are not participating in the formation of the central bank at this time place bets on a favorable number recorded in the ternary symmetric PSS or decimal PSS indicated by cones 4 and 5 on the gambling field on the rolls corresponding to the lines “Passes” 6 or “Out »7, on the color of the face, on their color combination, or on one of 36 specific combinations of the top faces of the ternary zar, which can be the outcome of throw 9. At the same time, the central players agree which of them will be the first“ shooter ”, ie . the player who starts the first installment of the game and throws in ternary zaras. Those central players who have not received the priority “shooter” have the right to make additional bets on any con of their choice.

;

;

;

; 00₃; 01₃;

; 10₃; 11₃. Эти девять комбинаций соответствуют девяти целым числам, записанным в привычной десятичной ПСС и нанесенных в виде отдельных конов на игровое поле, а именно: -4₁₀; -3₁₀; -2₁₀; -1₁₀; 0₁₀; +1₁₀; +2₁₀; +3₁₀; +4₁₀. Исход броска определяет дальнейшие действия «стрелка», дилера и игроков.After the dealer announced “Bets have been placed,” the stickman offers the “arrow” to select a pair of ternary zar from a kit containing five hexagonal ternary zar. The shooter selects a pair he likes and throws it into the game with his hand or in any other way known in the art, so that before it hits the table it hits the vertical wall of the side fence that surrounds the gaming table around the perimeter, so that other players were convinced that the throw was not carried out as controlled. After stopping the thrown ternary charges rolled on the surface of the gaming table on their upper faces, taking into account the order, the following nine ternary numbers may appear in the form of a combination of numbers:

;

;

;

; 00 ₃ ; 01 ₃ ;

; 10 ₃ ; 11 ₃ . These nine combinations correspond to nine integers written in the usual decimal PSS and plotted as separate cones on the playing field, namely: -4 ₁₀ ; -3 ₁₀ ; -2 ₁₀ ; -1 ₁₀ ; 0 ₁₀ ; +1 ₁₀ ; +2 ₁₀ ; +3 ₁₀ ; +4 ₁₀ . The outcome of the throw determines the further actions of the shooter, the dealer and the players.

(-4₁₀) свидетельствует о том, что «стрелок» проиграл банк и все ставки, отличные от этого исхода, т.е ставки всех игроков, включая и центральных, организатору игры. При этом исходе, однако, в выигрыше остаются игроки, поставившие ставки на линию «Выбывает» в отношении 1:1. Партия и игра оканчиваются.Number falling out

(-4 ₁₀ ) indicates that the shooter lost the pot and all bets other than this outcome, that is, bets of all players, including the central ones, to the organizer of the game. With this outcome, however, the winners remain the players who have placed bets on the “Retire” line in the ratio 1: 1. Party and game end.

The loss of the number 11 ₃ (+4 ₁₀ ) indicates that the "shooter" and the rest, including and the central players, won the bank in the ratio of 1: 1 from the organizer of the game, and have the right to distribute the prize paid to them by the organizer of the game in proportion to their contributions to the bank. In the same respect, those players who have made bets on the Pass line win. The party ends, the game continues.

(-3₁₀) свидетельствует о том, что стрелок проиграл свой вклад в банк организатору игры, потерял право вбрасывания и должен покинуть игру после этой партии. Остальные центральные игроки могут или продолжить игру и выбрать из своего состава нового «стрелка», или изъять свои вклады из банка и покинуть игру, тем самым завершив ее. Теряют свои ставки и те игроки, которые поставили на линию «Проходит». Те же игроки, которые сделали ставки на линию «Выбывает», могут оставить свои ставки на линии, перенести их на другие коны или свободно выйти из игры. Партия и игра оканчивается.Number falling out

(-3 ₁₀ ) indicates that the shooter lost his contribution to the bank to the organizer of the game, lost the right to face-off and must leave the game after this game. The remaining central players can either continue the game and choose a new “shooter” from their composition, or withdraw their deposits from the bank and leave the game, thereby completing it. Those players who bet on the line “Passes” also lose their bets. Those players who have made bets on the “Retire” line can leave their bets on the line, transfer them to other horses or freely leave the game. Party and game ends.

(-2₁₀) свидетельствует о том, что стрелок проиграл свою ставку остальным центральным игрокам, которые разделят ее пропорционально своим вкладам в банк, и должен покинуть игру. Проигрывают также игроки, сделавшие ставки на линию «Проходит», но выигрывают игроки, сделавшие ставки на линию «Выбывает». Партия и игра оканчивается.Number falling out

(-2 ₁₀ ) indicates that the shooter lost his bet to the other central players, who will divide it in proportion to their contributions to the bank, and must leave the game. Players who bet on the Pass line also lose, but players who bet on the Retire line win. Party and game ends.

(-1₁₀) свидетельствует о том, что центральные игроки проиграли свои вклады в центральном банке организатору игры, и должны покинуть игру. Проиграли и те игроки, которые сделали ставки на линии «Выбывает». «Стрелок», как и игроки, сделавшие ставки на линии «Проходит», в этом случае не теряет свою ставку в банке и могут или изъять их и завершить игру, или продолжить игру с организатором игры на тех же условиях, что и с центральными игроками, если организатор игры на это согласен, или предложить игрокам, желающим продолжить игру, сформировать новый банк. Партия оканчивается, но игра может быть продолжена.Number falling out

(-1 ₁₀ ) indicates that the central players lost their deposits in the central bank to the organizer of the game, and must leave the game. The players who made bets on the "Retire" line also lost. The shooter, like the players who made bets on the Pass line, in this case does not lose his bet in the bank and can either withdraw them and end the game, or continue the game with the organizer of the game on the same conditions as with the central players if the game organizer agrees to this, or invite players who wish to continue the game to form a new bank. The game ends, but the game can continue.

The loss of the number 00 ₃ (0 ₁₀ ) indicates that the "shooter" just gets the right to re-roll. The party does not end, the game continues.

The fall of the number 01 ₃ (+1 ₁₀ ) indicates that the “shooter” won for the remaining central players their contributions to the bank in the ratio 1: 1 from the organizer of the game and reserved the right to either continue the game, or end the game and leave it with his contribution to the bank, if the other central players or one of them decided not to continue the game. The same right is obtained for players who have made bets on the line “Passes”. But those players who bet on the “Retire” line win.

(+2₁₀) свидетельствует о том, что «стрелок» выиграл банк у остальных центральных игроков, оставил за собой право участвовать в новой партии игры, или может выйти из игры со своим выигрышем и завершить игру. Выигрывают и те игроки, которые сделали ставки на лини «Проходит». А игроки, ставившие на линию «Выбывает», проигрывают свои ставки. Партия оканчивается, игра может быть продолжена.Number falling out

(+2 ₁₀ ) indicates that the shooter won the bank over the remaining central players, reserved the right to participate in a new game game, or may leave the game with his win and end the game. Those players who have made bets on the line “Passes” also win. And the players who bet on the Retire line lose their bets. The game ends, the game can be continued.

The loss of the number 10 ₃ (+3 ₁₀ ) indicates that the “shooter” won his bet in the central bank from the organizer of the game in a 1: 1 ratio and can either continue the game on the same terms or leave the game with a win and his bet in the central bank and the game will end. Those players who have made bets on the line “Passes” also win. Players who participated in the formation of the central bank, as well as those who bet on the Retire line, do not lose their bets, they can withdraw them if the game ends, move or change if the game continues with a new game.

Players who did not participate in the formation of the central bank and did not place bets on the Pass or Out line, lose their bets or receive payments on them when they have favorable color or combination outcomes in accordance with the payout coefficients on the gambling table on places of the designation of the horses, and in accordance with the rules of the game, which are proposed by the organizer of the game.

The game organizer or its employees are constantly watching the game. After each throw of the “shooter”, the outcome is loudly announced, and its result is duplicated by typing on the keyboard demonstration displays located in the room so that the result is clearly visible to all those present. The stickman collects the lost bets, and the boxman gives the dealer the appropriate number of tokens, which he puts on top of the winning bets.

(-4₁₀). Признак «Пойнт» может принимать численные значения

(-3₁₀);

(-2₁₀);

(-1₁₀); 01 (+1₁₀);

(+2₁₀); 10 (+3₁₀).A variant of the game by the claimed method in two hexagonal ternary zaras in two rounds is possible, the block diagram of which is shown in FIG. 3. In this case, the game is played without forming a central bank and against the organizer of the game. The absolute winning outcome for the “shooter” is the loss of the number 11 ₃ (+4 ₁₀ ), the absolute losing outcome for him is the loss of the number

(-4 ₁₀ ). The sign "Point" can take numerical values

(-3 ₁₀ );

(-2 ₁₀ );

(-1 ₁₀ ); 01 (+1 ₁₀ );

(+2 ₁₀ ); 10 (+3 ₁₀ ).

The proposed method of playing dice can be implemented in other forms and using PSS with a different base and its corresponding alphabet, the numbers of which are applied to the faces, other special points on the surface of polytopes of selected types and shapes. However, such a choice should not distort the essence of the claimed method of playing dice, and ternary zaras should be made so that the number that determines the outcome of their throw can be unambiguously interpreted in the selected MSS.

The embodiments of the invention and the proposed examples have been selected and described in order to best illustrate the principles of the invention and its practical application, in order to thus enable an ordinary person skilled in the art to make the best use of the invention in various embodiments and with various modifications, suitable for a specific application. However, the described specific embodiments of the present invention should not be construed as exhaustive.

There are several more options that will be apparent to those skilled in the art.

Claims (1)

A device for playing dice, containing a perimeter-encircled walls of the side fence restricting the size of the playing field, a gambling table in the shape of a three-petal flower in plan, as shown in FIG. 11, including places for accommodating players and employees of the game organizer, a playing field with it with multi-colored game sectors and cones intended for setting chips, from the face values of which the value of announced bets is collected, the “Passes” and “Out” ring zones and the field for the central bank, as well as game chips and a marker which is moved to indicate to Kona combination "Point", characterized in that the profile of the inner surface of the side wall of the enclosure that surrounds the perimeter of the gaming table and limits the dimensions of the playing field, a concave shape of FIG. 11 (AA cross section), and gambling dice of the ternary zar type, which serve as a physical random number generator that determines the outcome of the game, are made in the form of identical polyhedra, in which, depending on the type of polyhedron, on each face, or on each vertex, or on Each of the points of intersection of their edges is marked with unique numbers in the form of numbers, other characters that make up the alphabet of the adopted symmetric positional number system on the basis of it, and each ternary zara is marked with a symbol or color - identifier a speaker that determines the position that numbers at this ternary dawn occupy in the record of the resulting number in the adopted positional number system.

Images