Topoboardgame

Topological Board Game

Same Core Rules. Different Spaces. New Strategy.

TopologicalBoardgame is an interactive platform for classic and physics-inspired board games on changing spaces.

For players, it transforms familiar rules into new strategic worlds: easy to enter, surprising to play, and deep enough to challenge serious competitors.

For researchers, it becomes a visual and playable laboratory for studying how information, locality, symmetry, competition, and physical behavior change when the underlying space changes.

A move is never just a move here. It is a test of the space itself.

Topological Board Game

Topological Board Game is a free experimental strategy board game and scientific play platform. It combines abstract board games, topology, mathematics, physics, biology-inspired Life systems, cellular automata, and Topoboard Labs across different lattices, dimensions, boundaries, and topological spaces.

Topological Board Game 是免費的實驗性策略棋盤遊戲與科學遊玩平台，結合抽象棋類、拓撲、數學、物理、生物啟發的 Life 系統、細胞自動機與 Topoboard Labs，讓玩家在不同晶格、維度、邊界條件與拓撲空間中探索規則如何改變。

Topological Board Game 是免费的实验性策略棋盘游戏与科学游玩平台，结合抽象棋类、拓扑、数学、物理、生物启发的 Life 系统、细胞自动机与 Topoboard Labs，让玩家在不同晶格、维度、边界条件与拓扑空间中探索规则如何改变。

You-Xun Zhang youxunzhangjim@gmail.com

2D Games embedded in 2D space 2D Chess Chess with selectable boundaries 2D Go Go with selectable topological boundaries 2D Reversi Reversi with selectable boundaries 2D Jump Step moves and chain jumps on standard/topological boards 2D Hex Connect opposite sides on a hexagonal rhombus

3D Games embedded in 3D space 3D Chess Chess on interactive topological boards 3D Go Go on rotatable lattice boards 3D Reversi Reversi on rotatable lattice boards 3D Jump Chain jumps through volumes, shells, and wrapped spaces 3D Hex Connect opposite zones through a three-dimensional grid

4D Games embedded in 4D space 4D Go Go on 4D slice boards 4D Reversi Reversi on 4D slice boards 4D Jump Projected higher-dimensional chain-jump races 4D Hex Connect opposite zones through a four-dimensional grid

2+1D Games embedded in 2+1D spacetime 2+1D ChessChess-like movement with Time schedule and optional Age 2+1D GoPlace stones with Time schedule, Go-only Time period, optional Age, and optional noise 2+1D ReversiFlip lines with Time schedule, optional Age, and optional noise 2+1D JumpChain-jump races with Time schedule and target timing 2+1D HexConnection play with an explicit time schedule

3+1D Games embedded in 3+1D spacetime 3+1D ChessVolume chess timing with Time schedule and optional Age 3+1D GoPlace stones through layers with Time schedule, Go-only Time period, optional Age, and optional noise 3+1D Reversi3D line flipping with Time schedule and optional Age 3+1D JumpVolume jumps with Time schedule and explicit target zones 3+1D HexVolumetric connection play with an explicit time schedule

Strategy & Systems Labs Choose a playable lab world to explore new rules, hidden structures, and strategic patterns. Open Info to learn what the system represents, how it changes the game, and what you can observe through play.

Start here Simple / Research Interface Enter the playable Labs workspace first. Use Simple for common players, or switch to Research at the top for scientific controls. Experiment Builder Configure models, topology, seeds, observables, batch runs, and reproducible exports. Phase / Regime Scan Generate cautious finite-size regime maps from existing Labs models and observables. Topology Comparison Run the same local rule across different spaces and compare topology-sensitive observables. Validation & Reproducibility Audit seeds, hashes, replay metadata, topology invariants, benchmark scope, and warnings. Publication & Dataset Export Package reviewable bundles with README, data dictionary, methods, citation, checksums, and provenance.

Life & Evolution Worlds Choose the neighborhood rule first; choose geometry inside the Life page.

Pick one of three Life rule families below, then choose the board space, lattice, noise, age, species, and challenge settings inside the Life interface.

Info

One-player sandbox, two-player competition, and research modes for cellular automata, ecology, topology, complex systems, and AI experiments.

Moore Neighborhood Mode Von Neumann Neighborhood Mode Lattice Nearest-Neighbor Mode