Topological Board Game

Topological Board Game is an abstract-strategy board game and an experimental strategy sandbox where board games become laboratories for mathematics, physics, biology, topology, and complex systems.
Instead of limiting board games to ordinary square grids, Topological Board Game explores what happens when the board itself changes. Play with spaces, lattices, dimensions, boundaries, and topology-inspired structures that reshape movement, locality, capture, influence, and strategy.
The game includes familiar board-game foundations such as Chess, Go, Reversi, and Jump-style(Chinese checkers) movement, but expands them into unusual geometric and mathematical spaces. Boards may behave like open spaces, wrapped spaces, reflected spaces, higher-dimensional grids, or topology-inspired playgrounds.
Life mode explores biological systems as playable strategy games. Instead of treating pieces as static game objects, Life modes model living systems and evolving populations. Depending on the selected mode, cells, organisms, genes, resources, signals, or ecosystems interact according to biological principles rather than traditional board-game rules. Each board, lattice, boundary, topology, and dimension changes how life develops, allowing players to explore how geometry and topology influence biological systems.
Labs mode goes further by treating the board as a space for physical and mathematical manipulation. Pieces may act like particles, operators, excitations, domains, fields, worldlines, or topological objects. Instead of forcing every mode to follow traditional board-game rules, Labs modes are designed around the physical or mathematical relations of the problem itself.