Open cards on a chess board.
Numerical playing cards.
All Russian texts of game
rules and instructions look in PDF files.
www.numeralgame.64g.ru/och1.pdf
www.numeralgame.64g.ru/och2.pdf
www.numeralgame.64g.ru/och3.pdf
The resulted rules allow to familiarize with a design of the present
mathematical game, but do not exhaust all variants of playing interactions which
are possible by means of the offered game device.
Rules of numerical game 1st.
Game is based on correlation of numbers on cards with numbers on
the game board.
For realization of game use the game board and the complete set of numerical cards
of the big version.
Two players participate in game.
Preliminary 100 used cards shuffle (mix) and have in a closed pile outside of
the game board, then each player in turn opens one card from a closed pile and
lays on the board.
Cards focus arrows on the opponent and players distinguish own cards by means of
arrows provided that players are
opposite each other on different sides of the board.
Colors of numerical cards has no value in this game and consequently players
distinguish own and another's cards by means of colors.
It is authorized to lay on squares where numbers of cards grow from
mathematical actions with numbers of the board, where numbers of
cards correlate with numerical notations of the board. Namely player chooses any
vertical and horizontal where mathematical addition or
multiplication or division or subtraction - mathematical actions with "vertical number" and "horizontal
number" gives number which the card has, and lays the card on the square
which is in crossing of the chosen vertical and horizontal. And it is
possible to divide vertical number by horizontal or horizontal number by
vertical, and also it is possible to subtract vertical number from horizontal or
horizontal number from vertical.
And also it is possible to lay cards on squares where vertical and
horizontal numbers correspond to tens and units in numbers of cards.
For example, the numerical card with number 24 can be laid on squares which
are marked by daggers on figure 1.
Number 24 contains two tens that corresponds to the second vertical or the
second horizontal, and also number 24 contains four units that corresponds to
the fourth vertical or the fourth horizontal, and consequently this card can be
laid in crossing of second vertical with fourth horizontal, or in crossing of
fourth horizontal with second vertical.
Or actions of multiplication 6х4 =24 and 8x3 =24 allow to put the card with
number 24 in crossings of sixth vertical with fourth horizontal or sixth
horizontal with fourth vertical, and also in crossings of eighth vertical with third horizontal
or eighth horizontal with third vertical.
It is authorized to lay cards on free squares but if according to game rules it
is possible to lay on squares where other earlier laid cards are then players
can do it.
Game is finished when all cards from a closed pile are laid on the board.
That player wins who has more cards on the board provided that cards belong to
players depending on directions of focusing arrows, and count only those cards
which are not covered by others.
Rules of numerical game 12th.
Game is based on covering cards.
For realization of game use the game board and decks of numerical cards of the
small version, but use a reduced decks with numbers from 0 up to 15 which
preliminary have on the board in initial gaming positions
shown on figure 3,
namely cards of one player have on 1-2 horizontals, and cards of the opposite
player on 8-7 horizontals of the board. Players play cards of own decks which
differ by means of colors.
And also cards of players differ by means of colors in next games.
Game consists that players by turns move own cards on the next
squares over verticals or horizontals or diagonals, and at that can beat (cover) cards of the
opponent.
Cards with the
bigger numbers can beat cards with smaller numbers, and also playing cards can beat
each other if numbers have identical ciphers.
For example, the card with number 5 can beat the card with number 15 as both
numbers have cipher 5, but can not beat the card with number 9 because 5 is less
than 9.
Beaten cards remove from the board.
The task of game consists that it is necessary for each player to beat the
opponent's card with number 0.
• It is possible to apply the reduced proportional groups of
numerical cards from the complete
set of the big game version and the appropriate 100-squared game board on which
cards have in initial playing positions shown on figure 4.
In this case, cards with numbers 0 and 1 are test cards which overturn backs and
can be beaten irrespective of numbers to win.
Or the reduced proportional groups of the big version preliminary can be
arranged on the 64-squared board of the small game version in initial
playing positions shown on figure 5.
Figures 4 and 5 show numbers of cards by dark color, and red numbers designate
forces. For example, the playing card with number 21 can beat 16 cards
of the opponent that is a force. Also other numerical cards can beat the certain
quantity of opponent's cards. Total cumulative force is 251 in
proportional group where the test card has number 0 at game on the
100-squared board, and at game on the 64-squared board is 157.
And cumulative force is 254 in other proportional group where the test card has
number 1 at game on the 100-squares board, and at game on the 64-squared board
is 158. This fact specifies approximate equality of forces in the shown initial
positions that matters if distance of moving is any quantity of squares
over verticals or horizontals or diagonals as a chess queen. And if cards have
distance of moving on next squares as a chess king then it is possible to have
cards in initial positions casually.
Rules of numerical game 14th.
Game is based on formation of numerical combinations.
Two players participate in game.
For realization of game use the game board and decks of numerical cards of the
small version, but use cards with quaternary numbers. Namely choose cards with points on backs and other cards do not
use.
Each player plays by own deck.
Cards with number 0 of first and second players have on royal squares on which have
kings in chess game, and overturn by backs upwards before the beginning of game.
Then shuffle others and display cards of the first player on 1-2 horizontals,
and cards of the second player on 8-7 horizontals on opposite halves of the
board in the casual order and faces upwards.
Or for preliminary arrangements of numerical cards it is possible to use initial
playing positions which are shown on figure 8.
Game consists that players by turns move own cards on the next
squares over verticals or horizontals or diagonals. If numerical combinations are formed during moving then players remove from
the board all cards of the opponent from these combinations .
Combinations are formed by sequences of ciphers 0-1-2, 1-2-3, 0-1-2-3, and also
are formed by unions of identical ciphers 0-0-0, 1-1-1, 2-2-2, 3-3-3 (or more identical ciphers). That is combinations are as minimum three cards located in
vertical or horizontal or diagonal row if in numbers of cards there are
ciphers which form the listed sequences and unions. For example, row of
numerical cards with numbers 31-20-33 form the sequence of ciphers
1-2-3 and are a combination.
If several combinations are formed on verticals and
horizontals and diagonals as a result of moving then remove from the board all
opponent's cards which are available in all formed combinations.
The task of game consists that it is necessary for each player to impose any own
card on the overturned test card of the opponent. That is on
each other cards are not imposed during game, as a basic rule is formation of numerical
combinations, but it is necessary to impose open cards on the overturned test
cards. Provided that test cards can move the same as others, and can not impose on other cards.
Rules of numerical game 21st.
Game is based on different ranges (diapasons) of card moving.
Two players participate in game.
For realization of game use sets of playing cards with seven-symbolical numbers
from two decks of the third version and the appropriate playing board. Namely choose
numerical cards with daggers on backs.
The version of game with inverse numbers is the third version.
Each player plays by cards of own deck which preliminary have on the game board
in initial playing positions shown on figure 10.
Or it is possible to apply other variants of initial positions.
Cards with numbers 12 and 13 overturn by backs upwards and use as test cards.
Game consists that players by turns move own cards over squares of the board
according to ranges which are specified by numbers. For example, the card with
number 65 can be moved on distance of 6 squares or on distance of 5
squares over verticals or horizontals or diagonals as this numerical card has ciphers
6 and 5.
Moving is possible over squares on which there are other cards.
If as a result of moving your card is imposed on any card of the opponent then you
remove this card of the opponent from the board and exclude from game.
Values of numbers at imposing do not take into consideration. Namely numbers specify ranges of card moving and do not determine imposing.
The task of game consists that it is necessary for each player to impose any own
card on the turned test card of the opponent provided that test cards can move
on next squares over verticals or horizontals or diagonals, but can not be
imposed on other cards.
• It is possible to play variant of this game in which moving of cards atop of other cards is not authorized. That is in this case it is necessary to move cards over squares on which there are no other cards, and it is possible to impose on other cards on those squares on which moving stops.
Rules of the listed games represent only some opportunities
according to which numbers can be used as playing objects, and show the most
obvious games which can be played by means of the offered numerical device. The
listed games are similar to the chess, but the
manual in PDF files describes rules of many various games which are not similar to
the chess but also give equal odds of a prize and give a playing information
which is open.
And also the manual describes various puzzles which are possible by
means of numerical cards on a playing board.
In total the manual contains descriptions of 50 games and puzzles, and each game has some variants.
The manual is written in Russian.