Essay
Polygrid Chess
Why Hexagonal Chess Exists — and Why Chess Needs It
Bobby Fischer looked at what chess had become and said it was dead.
He wasn't being dramatic. He was stating an observation. Chess, the game he had devoted his life to mastering, had transformed into something unrecognisable — a contest of who had memorised more opening books, who had studied more grandmaster games, whose engine-prepared lines ran deeper. The player who had seen the most positions before they occurred was the player who won. Creativity had been replaced by recall. Discovery had been replaced by preparation.
Fischer's answer was Chess960 (Fischer Random) — shuffle the back rank so the opening can't be memorised. A brilliant fix, but only for the first ten moves. After that, theory resumes. The engine lines reassert themselves. The memorisation problem is merely postponed.
The deeper problem is that the geometry of the standard 8x8 board has been exhaustively studied. Every structure, every endgame, every pawn formation has a name, a theory, and a known best response. The room for genuine discovery — for looking at a position and thinking "I have never seen this before, I must solve it now" — has shrunk to nearly nothing.
What Glinski Understood
In 1936, Władysław Gliński designed a hexagonal chess variant. Not as a curiosity. Not as a gimmick. As a serious answer to a question that standard chess could not answer: what happens when the geometry itself forces you to think from first principles?
A hexagonal board — a regular hexagon made of hexagons, six cells to a side — changes everything. The relationships between pieces are different. The diagonals run in three directions instead of two. Bishops have three colours to work with, not two. A rook's file is no longer a straight line in the Euclidean sense. There is no castling because the geometry doesn't permit it — the king must fend for itself.
The effect is immediate and total: no opening book exists for hexagonal chess. No grandmaster has analysed these positions. No engine has been trained on millions of hex-grid games. Every single position a player encounters is genuinely new. Not new-to-you — new, full stop.
You cannot prepare for it. You cannot memorise your way out of it. You have to look at the board and play chess.
The Joy of Not Knowing
This is the thing that standard chess has lost and that hexagonal chess restores: the joy of facing a position you have never seen and working it out in real time.
In standard chess, a player who has studied the Najdorf Variation for three weeks will beat a player who has not, regardless of natural talent. The game rewards preparation more than it rewards thinking. But preparation is labour, not creativity. It is the opposite of the thing that makes games worth playing: the moment of genuine discovery, the thrill of outsmarting someone through reasoning that happens in the moment, not through a line you memorised last Tuesday.
Hexagonal chess does not allow you to coast on preparation. It forces you to reason, to calculate, to imagine — because there is no pre-existing answer to the question the board is asking you. You must generate the answer yourself.
Three Bishops, Nine Pawns, No Castling
The specifics matter. Each player has one king, one queen, three bishops, two knights, two rooks, and nine pawns. The bishops move along diagonals — but now there are three diagonal axes, so a bishop covers more of the board than on a square grid. Knights move to the closest cells the queen cannot reach, as always, but on a hex grid their movement pattern is different, and the geometry creates new tactical motifs.
There is no castling because the king's path to safety runs differently on a hex board. The king must navigate a geometry that does not have corners in the same way. The pawn structure — nine pawns instead of eight — opens three central files instead of two, changing the entire character of the centre game.
These are not arbitrary changes. They are the natural consequence of taking chess seriously and asking: what if the board had not been settled in the 15th century? What if we allowed ourselves to question the geometry itself?
The Bigger Picture
This is not an argument against standard chess. Standard chess is a beautiful game with centuries of depth. But it is an argument that the depth has been fully mined. The frontier has moved from "what can I discover?" to "what can I recall?" That is a loss.
Glinski's hexagonal chess is one answer. It reopens the frontier. It makes the game new again. Not by adding random elements or simplifying the rules, but by changing the substrate on which the game is played — and letting human creativity do the rest.
This is what play should be: not a test of how much you have studied, but a space where you must think, adapt, and create. Hexagonal chess restores that space.