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# The version of game with inverse numbers.

Open digits on a chess board.
Numbers of mathematical cards.

At the end of this page there is the link on PDF file with images of mathematical cards which is possible to download - to print - to play.

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Proportional groups of inverse numbers on mathematical cards:
1st deck:
12  31  14  51  16  71  18  91  23  42  25  62  27  82  29  43  35  63  37  83  39  54  46  74  48  94  56  75  58  95  67  86  69  87  79  98.
2nd deck: 21  13  41  15  61  17  81  19  32  24  52  26  72  28  92  34  53  36  73  38  93  45  64  47  84  49  65  57  85  59  76  68  96  78  97  89.

Proportional groups of seven-symbol numbers:
1st deck:
12  31  14  51  16  71  23  42  25  62  27  43  35  63  37  54  46  74.
2nd deck: 21  13  41  15  61  17  32  24  52  26  72  34  53  36  73  45  64  47.

 The first deck of numerical cards. First part. Set of seven-symbol numbers with daggers on backs. Second part. The second deck of numerical cards. First part. Set of seven-symbol numbers with daggers on backs. Second part. Game board for chess numerical cards. 72 squares are sufficient for two decks of playing cards in the version of game with inverse numbers. Description of inverse gaming version. Mathematical cards with numbers. The version with inverse numbers within the present mathematical gaming contains two decks of 36 numerical playing cards in each. In aggregate 72 playing cards in two decks possess inverse numbers. For example, in the first deck there is the num 12 and in the second deck there is the num 21 which are inverse numbers. Namely numbers 12 and 21 are inverse each other. Among two-digit numerical signs there are 72 inverse numbers which are listed in the beginning of this page, and which form two proportional groups in two decks. Namely inverse numbers are distributed on proportional groups, and each group forms separate deck of playing cards. Sums of numbers in decks are 1980, and also each deck includes digits of 8 ones, 8 twos, 8 threes, 8 fours, 8 fives, 8 sixes, 8 sevens, 8 eights, 8 nines, that provides equal odds of a prize in the event that each player or gamer plays by own deck. Numbers are put on playing mathematical cards in the direct and turned positions that allows two players to read numerical signs directly opposite each other. Different colors on face sheets and backs of playing cards designate different decks. Daggers on backs designate playing mathematical cards which form sets of "seven-symbol numbers", namely such numbers which include seven symbols of digits, namely consist of ciphers from 1 to 7. Among inverse numbers there are 42 seven-symbol numerical signs, or otherwise to tell 21+21=42 seven-symbol pairs of inverse numbers. But daggers on backs in structure of each deck designate 18 playing cards, and accordingly in sets of seven-symbol numbers there are 18 pairs. Digital pairs 56-65, 57-75, 67-76 are not included in sets, that is necessary for arrangements of playing cards of two sets on squares of a chess board in initial game positions, that is written in detail in rules of gaming. Sets of seven-symbol numbers have sums 726, and also each set includes digits of 6 ones, 6 twos, 6 threes, 6 fours, 4 fives, 4 sixes, 4 sevens, that provides equal odds of a prize in the event that each player or gamer have playing cards of own set. The game board for version of gaming with inverse numbers has 8 horizontals and 9 verticals that forms 72 squares which are sufficient for 72 playing cards of two decks. And also are sufficient for arrangements of two sets of seven-symbol numbers in initial game positions, so that playing cards of each set can occupy two horizontal lines just as white and black chessmen in initial game positions on opposite horizontals of a chess-board. Squares have dark and light colors as a chess-board that allows to see diagonals. Verticals and horizontals have numerical notation which is necessary in some games or puzzles in which gamers compare numbers of playing cards to numerical notations of verticals and horizontals. The design of gaming allows to apply various rules and instructions, but in essence 72 playing mathematical cards with inverse numbers are intended for games in which numerical interactions and mathematical calculations are optimum by means of this design. Namely it is possible to play games in which ranges (amplitudes or diapasons) of playing cards' movements are determined by ciphers or digits of which numbers consist. For example, the playing card with number 74 can move 7 or 4 squares over verticals or horizontals or diagonals. Also other numerical playing cards have own ranges of movements, that provides opportunities of game interaction at using sets with seven-symbol numbers. Namely greatest possible distances of cards' moving on 72 squares of the game board are 7 squares over verticals or 8 squares over horizontals. And consequently I have organized sets of playing cards with seven-symbol numbers which have ranges of moving no more than 7 squares. Besides it is possible to play mathematical games and puzzles in which numbers of playing cards correlate to numerical notations of verticals and horizontals, that also is feasible according to design of 72-square board in ratio with quantity of inverse numbers and playing cards in two decks. A huge variety of mathematical games and puzzles are in total possible. Rules of several games and puzzles in English look on pages of this website, or look PDF files with detailed rules of gaming instructions in Russian.OCH3.PDF This is file where rules of gaming instructions are written in Russian, but in this PDF file there are images for printing playing mathematical cards with inverse numbers which can be tried to play.- I hope that offered version of board game with mathematical cards will be interesting! Combinations of inverse numbers in design of this desktop mathematical game are organized according to rules of numerology and magic squares, according to which the ancient Egyptian cyclic calendar and numerological predictive cards with symbols of the Chinese Book of the Great Mystery are constructed, that is described on pages of this website in section with the name: mantic cards. And also inverse numbers in this mathematical gaming are analogues of numerical signs which designate configurations of human bodies and combinations of symbols Ba Gua in hexagrams of the Chinese canon of changes i-jing, that is described on pages of other website www.labyrinthgallery.64g.ru.

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