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The first deck of numerical cards.
First part.
Set of seven-symbolical numbers with daggers on backs.
Second part.
The second deck of numerical cards.
First part.
Set of seven-symbolical numbers with daggers on backs.
Second part.
Game board for numerical
cards.
72 squares are sufficient for two decks of playing cards in
the version of game with inverse numbers.
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The description of this version.
Playing cards with numbers.
The version of game with inverse numbers within the
present mathematical game contains two decks of numerical playing cards.
Each deck has 36 cards and in aggregate 72 cards in two decks possess
inverse numbers. For example, in the first deck there is a playing card
with number 12, and in the second deck there is a playing card with
number 21 which are inverse numbers. That is number 12 and number 21 are
inverse each other.
Among two-digit numbers exists 72 inverse numbers which are listed in the
beginning of this page and which form two proportional groups and are
grouped in two decks. That is inverse numbers are distributed on
proportional groups and each group forms a separate deck of playing
cards.
The sum of numbers in each deck is 1980, and also each deck includes 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
plays by an own deck.
Numbers are put on playing cards in the direct and turned positions that
allows two players to read numbers directly. Different
colors on face sheets and backs of playing cards designate belongings to
different decks that allows players to distinguish playing cards of own
decks.
Daggers on backs designate playing cards which form sets of
"seven-symbolical" numbers, namely such numbers which include seven
symbols, namely consist of ciphers from 1 to 7. Among inverse numbers
there are 42 seven-symbolical numbers, or otherwise to tell 21+21=42
seven-symbolical pairs of inverse numbers, but daggers on backs in
structure of each deck designate 18 playing cards, and accordingly in
sets of seven-symbolical numbers there are 18 pairs. Pairs of numbers 56-65, 57-75, 67-76 are not included in
sets that is necessary for an arrangement of playing cards of two sets
on squares of the board in initial game positions that is written in
detail in rules.
Each set of seven-symbolical numbers have the sum 726, and also each set
includes 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 have playing cards of an own set.
The game board for version of game 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 playing cards with seven-symbolical numbers
in initial game positions so that playing cards of each set occupied two
horizontal lines just as white and black chessmen in initial game
positions occupy opposite horizontals.
Squares of the game board have dark and light colors as a chess-board
that allows to see diagonals. Verticals and horizontals of the game
board have numerical notations which are necessary in some games
in which numbers of playing cards compare to numerical notations of
verticals and horizontals.
The design of game allows to apply various rules and instructions, but
in essence playing cards with inverse numbers are intended for games
which are possible 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 numbers
(by ciphers of which numbers consist). For example, the playing card
with number 74 can move through 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 but provided that if use
playing cards with seven-symbolical numbers. That is the greatest
possible distance of cards' moving on the game board is 7 squares over
verticals or 8 squares over horizontals and consequently I have
organized sets of playing cards with seven-symbolical numbers which have
ranges of moving no more than 7 squares.
Besides it is possible to play mathematical games in which numbers of
playing cards correlate to numerical notations of verticals and
horizontals, that also is feasible according to quantity of verticals
and horizontals of the game board in ratio with quantity of inverse
numbers and quantity of playing cards in two decks. A huge variety of
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 where there are detailed rules
of game instructions in Russian.
Images in the PDF file are open but nevertheless you must to pay 9 euros or equivalent sum by other
currency.
The information on
possible methods of
payment. www.numeralgame.64g.ru/och3.pdf
This is file in Russian where rules of game instructions are written in
Russian, but in this PDF file there are images for printing
playing cards with inverse numbers which can be tried to play.
I hope that offered version of mathematical board game
will be interesting! |
