[0001] This invention relates to a checkerboard, particularly for simultaneous use by more
than two players, for chess, draughts, and the like games.
[0002] Currently, commercially available traditional type checkerboards or chessboards usually
comprise a flat element, including a square defined on the surface thereof. The square
being divided into sixty-four small, alternately coloured squares of equal size.
[0003] A disadvantage of the traditional type of checkerboard, as currently, commercially
available, resides in the fact that, at the most, only two players can simultaneously
participate in a game.
[0004] Resultantly, the number of possible game combinations is very limited, and the playing
of games such as coalition chess, i.e. teams of two players, cannot be played simultaneously.
[0005] Accordingly, it is an object of this invention to provide a checkerboard, particularly
for simultaneous use by more than two players, for chess, draughts, and the like games,
which avails itself of a large number of possible game combinations.
[0006] It is a further object of the invention to provide a checkerboard which permits "team
games
* such as coalition chess, to be played thereon.
[0007] A not unimportant aim of the invention is to provide a checkerboard which, whilst
permitting an increased number of players to participate simultaneously and offering
the possibility of a large number of game combinations, permits a chess game to be
played substantially in conformity with traditional rules.
[0008] This aim, and these and other objects which will become apparent hereinafter, are
achieved by a checkerboard particularly for simultaneous use by more than two players
for chess, draughts, and the like games, characterized in that it comprises a regular
octagon divided into four irregular pentagonal zones, said zones being each further
divided into thirty-two small squares.
[0009] A preferred embodiment of the invention will now be described with reference to the
accompanying illustrative, non limitative drawings, where:
Figure 1 is a plan view of a checkerboard for simultaneous use by more than two players,,
according to the invention;
Figure 2 is a schematic plan view, showing geometrical details of a checkerboard according
to the invention; and
Figure 3 is a schematic detail view of a quadrilateral portion of a checkerboard according
to the invention.
[0010] With reference to the heretofore cited drawing figures the checkerboard forming the
subject matter of this patent comprises a flat element whereon the geometric figure
(Fig.1) described herein below is reproduced, e.g. painted, which is based on an adaptation
of the conventional checkerboard to an octagon.
[0011] Let us consider, therefore, a regular octagon 20 (Fig.2) and draw a perpendicular
21-24 from the midpoint of four alternate sides 31-34 meeting at a common midpoint
100 (the centre of the checkerboard).
[0012] Thus, the octagon 20 will be divided into four identical irregular pentagonal zones
20a-20d .
[0013] By further drawing perpendiculars 25-28 from the midpoint of the remaining four interposed
sides 35-38 to meet at the common midpoint 100 , each of the irregular pentagonal
zones 20a-d will be bisected and the regular octagon 20 will resultantly be divided
into eight identical irregular quadrilaterals 41-48 each bisected irregular pentagonal
zone being divided into two such irregular quadrilaterals or tetragonal half zones.
[0014] Let us take for each side of each of the irregular quadrilaterals (Fig. 3) those
three points 51-53, 54-56, 61-63, 64-66 which share the characteristic of being equidistant
from one another and equidistant from the vertices of the side, thereby dividing each
side into four equal parts.
[0015] By joining the three points on each side 51-56 with the corresponding three points
61-66 on the opposing side, it may be seen that each quadrilateral is divided into
sixteen small quadrilaterals defined within the irregular quadrilateral and being
delimited by its perimeter.
[0016] Two contiguous irregular quadrilaterals which together define one of said irregular
pentagonal zones 20a-d , comprise thirty-two small quadrilaterals similarly to one
half of a traditional chessboard.
[0017] Each irregular pentagonal zone 20a-d is defined by one side 35-38 of the regular
octagon 20 such as the bottom side or base, whilst the two half-sides contiguous thereto
are defined by two segments whose apexes define the chessboard center or common midpoint
100 which may be likened to the centerline of a traditional chessboard.
[0018] The one hundred and twenty-eight small quadrilaterals which make up the whole chessboard
are painted in two alternate colours, in conformity with known practices presently
employed in the manufacture of chessboards, e.g. a pale colour and a dark one.
[0019] Four vertices of the octagon are occupied by a dark square. The octagon sides which
are adjacent, in a counterclockwise direction, to each dark corner square are defined
by bottom sides of the chessboard and identify one zone, e.g. a red, green, white,
and black zone each.
[0020] The non-bottom sides 31-34, lying substantially at 135
0 to their respective bottom sides 35-38 , are divided in half by their apothems 21-24
and are to be regarded as belonging to the zones identified by the two bottom sides
contiguous thereto.
[0021] Thus, each zone is delimited by one bottom side, two half-sides contiguous thereto,
and the respective apothems of each of the contiguous sides, the two apothems converging
toward the chessboard center. Advantageously, the zones are separated by a border
of varying colours, e.g. of the same colour as the corresponding zone, such as red,
green, white, and black.
[0022] The individual small quadrilaterals may be identified with coordinate numerals and
characters. One character would identify each row of quadrilaterals extending from
one bottom side, whilst one numeral would identify a row of quadrilaterals which extend
from one of the half-sides of each zone.
[0023] In order to univocally identify the one hundred and twenty-eight small squares which
make up the chessboard, it would be possible to adopt eight characters and sixteen
numerals, for example.
[0024] With the chessboard according to this invention, chess games may be played in conformity
with the traditional rules, as suitably modified to accommodate the changed geometric
characteristics of the chessboard.
[0025] It should be noted that the possibility of accommodating four players at one chessboard
affords a wide range of possible game combinations, which are not allowed by the traditional
chessboard.
[0026] It should be remarked, however, that it would be quite unadvisable to provide chessboards
for more than four players, because chess playing requires a high degree of concentration
by the players and does not lend itself to accommodate too many persons at one time.
[0027] Besides the traditional game of chess, it would be possible to play herein games
of coalition chess, such as are not feasible with a chessboard for three, wherein
the players meet in teams of two players each as defined, e.g. by drawing lots, at
the start of the game.
[0028] A variation of the game envisages that the teams may be alternated in the course
of the same game, in conformity with either preset conventions or ones which are established
each time according to the players' own preferences and choices.
[0029] Considering that each player would be eliminated from playing by the time his/her
king is taken, a hypothetical game may be taken into consideration where the teams
defined at the start of the game by drawing lots are left unaltered until the first
player is eliminated. Thereupon, the teams may be changed at any time simply through
an agreement between two players, which agreement may then be withdrawn, even unilaterally,
to enter a different agreement or no agreement at all.
[0030] In this case, the three players would carry on the game by playing against one another.
[0031] It would be possible to make new alliances and then break them at any time, until
a second player is eliminated from the game.
[0032] From that time on, the game would continue in conformity with the standard rules
of chess playing between the remaining two players.
1. A checkerboard particularly for simultaneous use by more than two players for chess,
draughts, and the like games, characterized in that it comprises a regular octagon
(20) divided into four irregular pentagonal zones (20a-d), each of said irregular
pentagonal zones (20a-d) being further divided into thirty-two small quadrilaterals.
2. A checkerboard according to Claim 1, characterized in that said irregular pentagonal
zones (20a-d) are each delimited by a bottom side (35-38), coinciding with one of
the octagon sides, two half-sides contiguous thereto, and the perpendiculars (21-24)
to each of the half-sides drawn through the midpoint of the respective side (31-34)
and converging toward a common midpoint (100) lying at the center of the regular octagon
(20).
3. A checkerboard according to Claim 1 or 2, characterized in that said irregular
pentagonal zones (20a-d) are each comprised of two tetragonal half-zones (41-48) divided
symmetrically by a perpendicular (25-28) extending from said bottom side (35-38) through
the center thereof.
4. A checkerboard according to Claim 1, characterized in that each irregular pentagonal
zone (20a-d) is divided into two half zones (41-45), each of said half-zones comprising
sixteen small quadrilaterals defined by subdividing each side of the half-zone into
four equal parts defining three subdivision points (61-66) and joining three of said
subdivision points (51-53, 54-56), with three corresponding points (61-63, 64-66)
on the opposite side of said half-zone.
5. A checkerboard according to Claim 1, 2, 3 or 4, characterized in that each irregular
pentagonal zone is bordered along the perimeter thereof by a coloured strip for identifying
and setting out said irregular pentagonal zone.