U.S. patent number 3,663,021 [Application Number 05/078,464] was granted by the patent office on 1972-05-16 for method of playing a binary card game.
Invention is credited to Walt Whippo.
United States Patent |
3,663,021 |
Whippo |
May 16, 1972 |
METHOD OF PLAYING A BINARY CARD GAME
Abstract
A binary game apparatus consisting of a plurality of playing
pieces each of which are identical and each of which has first and
second distinguishing characters which are respectively assigned
the numbers 0 and one comprising the numbers in the binary system
having base 2. The playing pieces may be cards, and each card may
have one white face representing the number 0 and an opposite black
face representing the number 1. When such cards are arranged
adjacent, those displaying upward the character representing the
number 1 have the following values; the one farthest to the right
has the value 1, the next to the left the value 2, the next to the
left the value 4, the next to the left the value 8, and continuing
if desired with each such card representing the binary number one
placed next to the left doubling in value. The cards or other
playing pieces displaying upward the character representing the
number 0 have the value of 0 regardless of their position. The
total value of a row of adjacent playing pieces is determined by
adding together the values so represented by the displayed
characters of each piece, whereby a variety of number games may be
played.
Inventors: |
Whippo; Walt (Cocoa Beach,
FL) |
Family
ID: |
22144189 |
Appl.
No.: |
05/078,464 |
Filed: |
October 6, 1970 |
Current U.S.
Class: |
273/296; 273/274;
434/189 |
Current CPC
Class: |
A63F
1/06 (20130101) |
Current International
Class: |
A63F
1/00 (20060101); A63F 1/06 (20060101); A63f
001/00 (); A63f 001/04 () |
Field of
Search: |
;273/152,152.1,152.2 |
References Cited
[Referenced By]
U.S. Patent Documents
Primary Examiner: Oechsle; Anton O.
Claims
Having thus set forth my invention, what I claim is:
1. A method for utilizing a game apparatus, including a plurality
of identical playing cards, a first face on each of said cards
having first distinguishing means associated therewith representing
the numeral 0 in the binary system of numbers, an opposite second
face on each of said cards having second distinguishing means
associated therewith representing the numeral one in the binary
system of numbers, utilized by sorting so half of the cards display
said first distinguishing means in one direction in a stack and the
other half of said cards display said second distinguishing means
in the same direction in said stack, shuffling said cards,
re-aligning said cards in a stack, placing said stack in the center
of a playing table, a first player taking the top card from said
stack leaving the same face displayed upward and placing said card
on said playing table to the left of said stack as faced by said
first player, a second, third and fourth player sitting around said
table doing likewise in clockwise rotation, repeating the same
steps an additional time, each player beginning with the first
placing a second card on said table to the left of the first card
he placed on said table, removing said stack of remaining cards
from said table by the first player, taking the top card by the
first player from such stack with its face as displayed upward,
turning said card over and laying said card upon one of four cards
arranged in a row from left to right in front of said first player,
the face of the card so laid down having the same distinguishing
means as that displayed upward by the card on which it is laid,
turning said two cards, plus any cards thereunder over to display
upwards the face of the bottom card formerly facing downward on the
table, similarly turning over any card or stack of cards to the
left thereof as faced by said first player to display upwards the
face of such card or cards formerly facing downward on the table,
said first player taking the next card remaining from the top of
the original stack of cards and dealing to a second player to his
left for play in similar manner with respect to the four cards
arranged in a row from left to right in front of said second
player, said second player repeating the steps of said first player
with respect to the playing of said card, said first player taking
the next remaining card from the top of the original stack of cards
and dealing to a third player sitting opposite said first player
and to the left of said second player, said third player repeating
the steps of said first and second players with respect to playing
of his card, said first player taking the next remaining card from
the top of the original stack of cards and dealing to a fourth
player sitting to the right of said first player and opposite said
second player, said fourth player repeating the steps of said
first, second and third players with respect to the playing of his
card, repeating said steps in sequence until all cards have been
played, each player determining the value of four stacks of cards
arranged in front of him from left to right by the distinguishing
means on the faces displayed upward by the top card in each stack,
said first distinguishing means representing the numeral 0 in the
binary system of numbers and said second distinguishing means
representing the numeral one in the binary system of numbers, said
card or stack of cards farthest to the left in front of each player
being assigned the value of 8 if the face displayed upward
represents the numeral 1, four in the position third to the left,
two in the position second to the left, and one in the position
farthest to the right if in each case the card face displayed
upward represents the numeral 1, otherwise 0 if the card face
displayed upward in any position represents the binary numeral 0.
Description
BACKGROUND OF THE INVENTION
This invention relates to a binary game apparatus consisting of a
plurality of playing pieces, each being identical with each having
first and second distinguishing characters which are respectively
assigned the numbers 0 and 1 comprising the numbers in the binary
system of numbering have base 2. Playing pieces are placed adjacent
and among those displaying the character representing the number 1,
the first playing piece which is farthest to the right has the
value 1, the second immediately adjacent to left of the first has
the value 2, the third adjacent to the left of the second has the
value 4, the fourth adjacent to the left of the third has the value
8, and continuing if desired to double the value of pieces
displaying the character representing the number one in each
successive adjacent place to the left. Playing pieces displaying
the character representing 0 have the value of 0 regardless of
their position in a row of adjacent playing pieces. The total value
of a row of adjacent pieces is determined by adding together the
values so represented by the displayed characters of each piece.
For convenience, four adjacent playing pieces may be the maximum
needed to play a variety of games based on matching of numbers,
accumulating totals of numbers, or arranging in sequence of
numbers, several games utilizing this invention being described
subsequently in this specification.
Presently known games based on numbers use the number system having
base 10, such as conventional playing cards. This invention
utilizes the binary number system having base 2 in games which may
be played with cards, blocks, chips, or even electronic boards with
positive and negative electrons, as long as each is able to display
representations of 0 and 1 which comprise the numbers in the binary
system. The binary system has become widely known and used during
recent years in electronic data processing equipment. Emphasis has
also been placed on the binary system in modern educational courses
of mathematics, such as the so-called "new math." However, the
binary system is not known to have been incorporated heretofore in
game apparatus or sets for purposes of entertainment and enjoyment
as well as being educational. This invention can be of considerable
value as a teaching aid in helping persons to learn the binary
number system in view of the fact it is entertaining which
stimulates interest which may otherwise be lacking.
Also presently known games based on numbers use playing pieces,
some or all of which are different. This invention uses playing
pieces all of which may be identical, and which preferably are
identical.
SUMMARY OF THE INVENTION
A binary game apparatus which consists of a plurality of identical
playing pieces, each having a first and second distinguishing
character which are respectively assigned the numbers 0 and 1
comprising the numbers in the binary system of numbers having base
2. Playing pieces are placed adjacent, for example four playing
pieces, each displaying one of the two distinguishing characters to
represent either the number 1 or the number 0. The value assigned
to each such displayed character is determined as described above.
In this manner, such playing pieces which comprise this binary game
apparatus maybe used to play a variety of games based on numbers as
will be described in more detail below,even though all of the
playing pieces are identical.
It is an object of this invention to provide a binary game method
utilizing a plurality of playing pieces, said playing pieces each
having a first and second distinguishing character which are
respectively assigned the numbers 0 and 1 which comprise the
numbers in the binary system.
It is an object of this invention to provide a game method
utilizing a plurality of playing pieces which are all
identical.
It is an object of this invention to provide a binary game method
utilizing the binary system of numbers to combine entertainment,
competitive challenge and interest with educational value.
Further objects of this invention will be obvious in light of the
following more detailed description of this invention.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a plan view of one face of a card being a playing piece
in accordance with this invention.
FIG. 2 is a plan view of the opposite face of the card shown in
FIG. 1.
FIG. 3 is an elevation view of a deck representing 52 of the cards
shown in FIGS. 1 and 2, the edges of several of the cards being
shown.
FIG. 4 is a plan view of chips which may be used with the game
apparatus in accordance with this invention.
FIG. 5 is a plan view of a betting board which may be used with the
game apparatus in accordance with this invention.
FIG. 6 is a plan view illustrating the position of players and
cards at one stage of a game described hereinafter being played in
accordance with this invention.
FIG. 7 is a plan view illustrating the position of players and
cards at a later stage of the game referred to and illustrated in
FIG. 6.
FIG. 8 is a plan view of one face of a card being a modification of
a playing piece in accordance with this invention.
FIG. 9 is a plan view of the opposite face of the card shown in
FIG. 8.
DESCRIPTION OF PREFERRED EMBODIMENTS
Referring to the drawings in detail, a playing piece 1 consists of
a card 2 having first and second distinguishing characters
consisting respectively of a white face 3 on one side and a black
face 4 on the opposite side of the card 2.
52 of such cards 2, all being identical, may be used to make up a
deck 5 comprising a game apparatus in accordance with this
invention.
This invention utilizes the binary system which is comprised of
only two numbers, the number 0 and the number 1. White face 3
represents the number 0 and black face 4 represents the number 1.
In the binary system, the number 1 when arranged in a row of
numbers has varying values. If the number farthest to the right in
a row of numbers is one it has the value of 1. The number next to
the left if one has the value of 2. The number then next to the
left if one has the value of 4. The number then next to the left if
one has the value of 8. The number then next to the left if one has
the value 16, and continuing in like manner to double the number 1
next to the left of the immediately preceding number regardless of
whether such immediately preceding number is 0 or 1. The number 0
in the binary system has the value of 0 regardless of where it
appears in a row of numbers. The total value of a row of numbers 0
and 1 in the binary system is determined by adding together the
values of each depending on their position in such row as
described. Thus, a binary number 0000 has a total value of 0; 0001
a value of 1; 0010 a value of 2; 0011 a value of 3; 0100 a value of
4; 0101 a value of 5; 0110 a value of 6; 0111 a value of 7; 1000 a
value of 8; 1001 a value of 9; 1010 a value of 10; 1011 a value of
11; 1100 a value of 12; 1101 a value of 13; 1110 a value of 14;
1111 a value of 15; and so on in like manner.
For purposes of games in accordance with this invention it is
sufficient to limit the numbers in a row to 4, from which values
ranging from 0 to 15 may be obtained. Four cards 2 placed in a row
from left to right all having white face 3 displayed upward
representing a row of four 0's would have a value of 0. Four cards
2 in such a row having the farthest card to the right displaying
black face 4 upward with the other three displaying white face 3
upward would have a value of 1. If the card second to the right
displays black face 4 upward with the other three displaying white
faces 3, the total value of the row of four cards would be 2. If
the two cards farthest to the right display their black faces 4
upward with the other two cards displaying white faces 3, the total
value of the row of four cards would be 3. It will be obvious from
examining the examples of binary numbers given above ranging in
value from 0 to 15 that cards with displayed faces representing the
numbers 0 and 1 can be arranged in like manner to represent such
different values, the white faces 3 displayed upward substituting
for the number 0 and the black faces 4 displayed upward
substituting for the number 1.
A variety of games can be played with a deck 5 of 52 of such cards
2, and four examples will be described below.
The first may be designated "Binary I." It is a relatively simple
game to introduce players to the binary system for familiarization.
Up to four players can play with one deck of 52 cards 2, all cards
being identical. Each player is dealt 13 cards 2. Each player
arranges them in his hand so six white faces 3 and seven black
faces 4 are displayed toward him. Each player then shuffles the
cards in his hand and makes an ante of chips 6 or other items of
some predetermined value into a central stake or pot. Then each
player aligns the cards in his hand as shuffled into a deck, and
takes the top four cards from such deck laying them on the playing
surface in a row from left to right in front of him. Each player
thus has a row of four cards before him with displayed faces
representing a binary number. The player whose cards represent a
binary number having the highest value wins the stake or pot. For
example, if one player's row of four cards display upward all black
faces 4, the total value would be 15 or the highest possible and he
would win the pot if the other players all had at least one white
face 3 showing in their rows of four cards. The laid out cards are
then picked up by each player in the same order as laid down and
placed at the bottom of the deck in each one's hands respectively.
The players then can continue with a second round as described for
the first, and so on without having to stop and re-shuffle the
cards.
When the cards have been picked up after the third round, the 13th
card becomes the first card of the next series of four cards to be
laid out. Thus, a new sequence of cards will be presented for play
in each round until thirteen rounds have been played. At that time
the cards may be re-shuffled. There is no strategy in this game
designated as "Binary I," since its basic purpose is to familiarize
players with the use of binary cards or other playing pieces and
the binary number system.
A second game is designated "Binary II," This game has somewhat the
characteristics of roulette, and likewise requires no strategy. A
betting board 7 is used having 16 spaces numbered 0 through 15
consecutively. This game may be played by two, three or four
players with one deck 5 of 52 cards 2. Each player is dealt 13
cards, and each player sorts them to show six white faces 3 and
seven black faces 4 facing him. One player is designated as the
dealer for the first bet. Each player places his bet on one or more
numbers on the betting board 7, but the amount of the bet is
established by the dealer. Each player then shuffles the cards 2 in
his hand, aligns them into a deck or stack, and cuts them. The
faces of the top cards exposed and displayed upward in each
player's deck laid on the playing surface are read clockwise
beginning with the dealer. The binary number represented by the
respective black and white faces so exposed and read is the winning
number. The player betting on that number wins and becomes the
dealer for the next bet. If there is more than one player betting
on the winning number, they would share as co-winners and decide by
lot who is to be dealer for the next play. For each succeeding
play, each player re-shuffles his hand of cards 2, aligns them in a
deck or stack, and cuts his deck of cards, thereby producing a new
binary number as the winning number. There is no need to re-deal
cards. If only two players are playing, the betting should be
limited to the numbers 0 through 3 since two players cannot produce
a binary number higher than three. Similarly, the highest binary
number which three players can produce is seven. Four players can
produce binary numbers as high as 15 in this game designated as
"Binary II".
A third game is designated "Binary III." This game has somewhat the
characteristics of stud poker. Thirteen cards 2 are dealt to each
of two to four players from a deck of 52 cards. Each player
arranges his hand so six white faces 3 and seven black faces 4 are
facing him with the cards held in his hand. Each player shuffles
his cards, and chips 6 or other items of predetermined value are
anted into a central stake or pot. Each player aligns his cards
into a stack or deck, cuts his hand, and lays out the top card with
its face showing as it faced the player when held in his hand. Each
player makes another bet and antes chips or other items into the
stake or pot. Players may raise the bet, call, or drop out of the
round of play. Each remaining player again shuffles the cards in
his hand, aligns them into a stack or deck, makes a cut, and lays
the top card on the playing table to the left of the first card
laid out. The players then make a third bet, ante, raise, call or
drop, make another shuffle of cards in their hands, align them into
a deck, cut and lay out the third card from the top of each one's
deck to the left of the second card laid out. This process is
repeated a fourth time until four cards are laid out in front of
each player remaining in the game. The binary numbers represented
by the faces of the four cards in front of each player are
determined and the player with the highest number takes the stake
or pot. Skill and judgment is involved in this game based on the
layouts of cards displayed which determines whether a player should
stay in the game, raise the ante or drop out of the game. An
example of reasoning a player might use is as follows. After laying
out two white faces 3 representing two 0's while another player
shows two black faces 4 representing two 1's, a player might find
the trend going against him and decide to drop or fold. However, if
he stays and gets to three white faces 3 or 0's while the other
player shows three blacks, his thinking might change. His hand now
has only three white faces 3 remaining while having seven black
faces 4. The other player's hand now has six white faces 3 and only
four black faces 4 for possible play. The probability is high that
the first player will cut to a black face 4 for the left-most
digit, and the probability is slightly lower that the opposing
player will cut to a white face 3 for his left-most digit. Should
that happen, the first player would win with a score of 8 compared
to the opposing player's score of 7.
A fourth game is designated "Binary IV." This is an example of a
more advanced and challenging game that may be played with playing
pieces in accordance with this invention. It is not similar to any
other game because it is based on the unique properties of the
binary system. It may be played by four players per deck of 52
cards, playing as two pairs of partners. It can also be played as
single, double, triple and quadruple solitaire as described later.
The deck 5 of 52 cards 2 is first sorted so half the cards display
white faces 3 upward and half display black faces 4 upward. The
deck is then shuffled and put in the center of the table. The
rotation of play is clockwise. The first player designated A takes
the top card from the deck and places it on the playing table to
the left of the deck as he faces it with the same face showing as
when taken from the deck. The other players designated B, C and D
do the same. This process is repeated once more, so player A will
have two cards in front of him to the left of the deck and in line
with Player B who is to Player A's left. Player B will likewise
have two cards similarly displayed and in line with Player C to the
left of Player B, and so on with respect to Players C and D around
the table as illustrated in FIG. 6. The deck is now removed from
the center of the table by Player A who will serve as dealer for
future cards from the deck. Players A and C sitting opposite face a
common row of four cards from left to right representing a binary
number, but the value of the number to A being read from left to
right is obviously different than the value of the number to C
sitting opposite A when C reads the cards from left to right.
Similarly players B and D sitting opposite face a second common row
of four cards as illustrated in FIG. 7. Players A and C are
partners; players B and D are partners. Player A as dealer takes
the top card off the deck. If for example it has a white face 3
displayed, he pairs it with any card showing a white face 3 in the
row of four cards from left to right in front of him, by placing it
white face 3 down or white to white. Player A will then turn that
column or stack of cards upside down, so the face that was toward
the table will now be on top. He does the same with all cards or
stacks of cards to the left of the one he paired. If a card
displaying a black face 4 had been taken from the deck it would
have been paired with a black face shown on one of the four cards
in the left to right row in front of Player A. If no pair can be
made, the card drawn from the deck is discarded and not put back
into the deck. Player B then is dealt a card from the top of the
deck and makes his pairing play in like manner, and so on with
Players C and D. The pairing and inverting move will change the
value of the binary numbers, sometimes drastically, so the choice
of column or stack to be paired must be made thoughtfully when
there is a choice.
When all cards in the deck have been played, the resulting binary
numbers represented by the white and black faces shown on the top
cards in the row of four stacks of cards from left to right in
front of each player are read as they appear to each player. The
partners add their values together and the highest score determines
the winning team.
The highest value a four digit binary number can have is 15,
represented by all black faces 4. After the initial binary numbers
have been set up, each player will try to pair the remainder of the
13 cards he will receive so as to achieve the binary number value
of 15 and preserve it. It is important to remember what is on the
bottom faces in order to properly make each pairing choice. What is
on the bottom is not necessarily the opposite of what is on the top
once the pairing play beings. It is also important to remember that
what affects value the least for one partner may affect value the
most for his partner sitting opposite. If it is necessary to accept
one or two cards which will result in displaying white faces 3 in
the final one or two rounds of play, it is best to try to keep them
in inside columns or stacks in order to achieve the best total
value for both partners. A solitaire variation of "Binary IV" may
be played as follows by one, two, three or four players using one
deck 5 of 52 cards 2. Each player has a total of 13 cards 2
allotted to him in the deck. As in the partner's game described
above, the deck is sorted into half white faces 3 and half black
faces 4 facing upwardly in the deck which is then shuffled and
placed in the center of the table. Each player in turn takes the
top card and lays it in front of him building his binary number
from right to left until it is four digits long. The deck remains
in the center of the table and each player draws from the top in
turn to make his pairing and inverting plays in the same manner as
described in the partnership version of "Binary IV." At the end of
the pairing and inverting plays, the player with the highest score
wins. If only one player plays this solitaire version, he either
makes the highest score of 15 or he does not.
These foregoing detailed examples of games that may be played with
the binary game cards or other playing pieces or apparatus in
accordance with this invention illustrate the invention's utility
and types of games that may be played. It is obvious that many
other variations and adaptions may be made.
The playing pieces may be cards 2 as used herein for purposes of
illustration. However, the playing pieces may also consist of
blocks, chips and even electronic boards capable of displaying
positive and negative electrons, or electronic pulse circuits
capable of displaying or otherwise indicating two separate
distinguishing characters representing the numbers 0 and 1 which
comprise the binary system of numbers.
An additional modification is shown in FIGS. 8 and 9, wherein cards
2a bear the distinguishing character "0" on one face and the
distinguishing character "1" on the opposite face. The character
"0" is substituted for the color white to represent the binary
number 0 and the character "1" is substituted for the color black
to represent the binary number 1.
The particular forms of the invention described herein and
illustrated in the accompanying drawings are preferred embodiments,
and various changes in the size, shape, materials and arrangement
of parts may be made without departing from the scope of the
invention or the attached claim.
* * * * *