The game
of chess which was being played in the ancient India as well as in the
present times, is one of the board games has its origin linked genetically
to secret magical and religious rituals in those times. In this paper,
I would like to put forth possible cosmological and architectural approaches
to the game of chess or the game of ashtapada.
A cosmos
by definition presuppose an ordered universe. Cosmology is the study
of the law and intelligence inherent in this ordered universe. There
is an inner as well as an outer way of studying cosmology. The outer
embraces sensible observation and the inner is expression of cosmological
laws within one’s own structure. The goal of spiritual disciplines is
to unite the inner and outer, the greater and smaller into an inseparable
integrity. The language of the archetype laws, which unite the inner
and outer cosmos, is that of pattern and in particular number pattern.
The game of chess is associated with the number pattern and thus to
cosmology. It has always been the inquisitiveness of a human mind to
probe into the mysterious world around him and its influence on himself.
This led to the discovery of the several fields of knowledge. One such
field is the predictive science, which includes astrology, futurology,
Numerology etc. this probing tendency is reflected on all human activities
and day-to-day life style including the recreational activities, which
perhaps led to invention of several games and sports. Chess is one such
board game, which may be related to the planetary movements and their
influence on human being.
Hindus
strongly believe that the nine planets influence all objects of the
material world. Each of these planets is associated with a unique number
and the mystic power, and the unique number is represented by a symbol.
These geometrical patterns are obtained from a matrix array of the basic
nine numbers. This square matrix array known as the Vedic square is
the basis of a whole mathematical system, which contained a numerical
model of the universe.
A note
on chess and board games with special reference to the museums of South
India Dice and square board found at Sannthi, a Buddhist site belonging
to 1st - 2nd cent. AD
Game boards, pieces, and dices mural paintings preserved in Sri Jayachamarajendra
art gallery, Mysore, early 18th century.
Chess collection from Salar Jung Museum, Hyderabad (collection ranges
from 14th - 19th century and belongs to different regions)
The
Probable root of chess
Chess was
genetically linked to magical and religious rituals, which have been
known in India from ancient times. Chess and other board games were
derived from, and the moves of the pieces are being closely related
to the movements of the celestial bodies and their numerical symbolism.
By joining those cells that show the same number certain geometrical
diagrams are obtained which "represent to ourselves our real life
relationships and experiences". These diagrams are linked to board
games in so far as every move of a piece results in similar geometrical
patterns. At the same time the interrelationship between these patterns
is, also helpful in deciding the "compatibility" between different
persons.
The interpretation
of the board game represented in the Barhut relief
Here the
sculpture depicts four men squatting in pairs on opposite sides of a
board of 6x6 squares. Besides this, we find a board consisting of 6
squares engraved with dissimilar patterns, a little away from the main
board, apart from a single rectangular piece lying close to the board.
The topography
of the board suggests that it is scratched on the ground without any
cross-cut squares and the players distributed on the opposite sides
of the board in pairs and are playing with some play materials (pawns)
depicted as dots on the board. Since the board consists of even number
of square grids, the game ought to have been played with a dice and
the players move their individual pawns and try to checkmate the pawns
of the opposite player. Probably, the four players sitting in pairs
on opposite sides of the board might have started the game from the
four corners of the board, each player moving his pawns towards his
opponent on the opposite side. The two players on each side possibly
played as partners in the game. We may also observe the six pieces board
might have served as a “score board” with each pair of players marking
their score on one of the two pieces on a definite side and the total
score of the partners marked on the rest of the two squares, adjoining
them. The single piece, in rectangular shape might have served as a
dice with four sides, marked with the numbers of points related to each
movement of the pawn. The movements might have been horizontal, vertical
or diagonal ear-marked for each pawn, and the exit being a checkmate.
(Conquering)
Deciphering
the Games invented by the Raja of Mysore
Tricks,
Puzzles and Number patterns have tested the intellect of the mathematicians
for thousands of years. Mathematics owes many interesting problems to
the game of chess.
The strange
move of the knight in chess makes the operations particularly fascinating.
Knight is allowed to occupy any unoccupied space on the board, which
is two column and one row or two rows and one column away from the cell
he is in, regardless of whether or not the intervening cells are occupied.
The attempt
to cover all the squares of the Chess board with a knight’s move, without
going over the same square a second time, is, perhaps, is as old as
the invention of game itself.
Leonard
Euler (1701-1783), a great mathematician, had worked out on the knight’s
tour and developed several solutions to this problem some of which are
closed solutions to the re-entry problem and some are open solutions.
Krishna
Raja Wodeyar III, (1794-1868) the Maharaja of Mysore, viewed this horse
movement on a square board in a different perspective. His main intention
was to develop acrostics (chitra kavyas) through horse movement (aswagati).
He did not choose always movements, which corresponds to tours covering
all the cells. His ingenuity lies in the fact that he chose such movements
which depict a schematic designs or geometrical shapes and in all such
movements one gets a closed solution to the re-entry provided the uncovered
cells are ignored.
The Raja
of Mysore has invented many ingenious combinations of the movements
of horse. Indeed it would be curious to see a collection of knight’s
tours in the form of mural paintings at Jayachamaraja Art gallery, Mysore
and Krishnaraja Wodeyar is pre-eminent for such discoveries. His attachment
to the board games and horse games was so great that he combined both
with great ingenuity and skill and developed several interesting games,
which apparently depicts animate and inanimate forms of choice.