A fascinating trivia piece from the Brazilian book "A descoberta dos números: uma aventura matemática" (The discovery of numbers: a mathematical adventure), by mathematician Marcelo Viana, helps us put this scale into a cosmic perspective.
Numbers That Defy the Universe
In Chess, it is estimated that there are "only" 1040 (the number 1 followed by 40 zeros) possible positions on the board. That is an enormous amount, without a doubt.
Yet, when we move to the Go board, the simple rules of surrounding territories generate an unbelievable combinatorial explosion: the number of possible positions is greater than 10170 (the number 1 followed by 170 zeros).
To give you an idea of what this actually means:
• 1040: Estimated possible positions in Chess.
• 1080: Estimated number of atoms in the entire known universe.
• 10170: Possible positions in Go.
The Game Design and A.I. Nightmare
In other words, there are drastically more possible configurations in a single game of Go than there are grains of sand on Earth, stars in the sky, or atoms scattered across the entire observable cosmos.
For anyone who studies or works with game design, this brutal difference explains why computers took so long to defeat human masters at Go. While "brute force" calculation managed to beat world Chess champion Garry Kasparov back in 1997 (with Deep Blue), a purely mathematical approach was physically impossible for Go. No machine could ever compute 10170 paths.
It required the development of deep neural networks and artificial intelligence based on intuition and continuous learning (like DeepMind's AlphaGo) to finally break through the barrier of this infinite tangle of nodes and branches in 2016.
Go proves that, sometimes, the most minimalist rules yield the most vast and unpredictable systems that the human mind—and the universe itself—can fathom.
#GoGamers
Reference:
VIANA, Marcelo. A descoberta dos números: Uma aventura matemática. Rio de Janeiro: Tinta da China, 2025.
Reference:
VIANA, Marcelo. A descoberta dos números: Uma aventura matemática. Rio de Janeiro: Tinta da China, 2025.
