Hex Diffusion
A strategy game on a hex grid where probability diffuses across cells like a quantum gas, complete with interference and diffraction.
Overview
Each hex cell is a 7-dimensional qudit (one state per hex neighbor direction, plus center). Players place units that spread quantum probability using fractional Hadamard gates. Walls create barriers via the Grover oracle pattern — probability reflects off them through destructive interference. Combat resolves by measuring contested hexes.
Key Mechanics
| Mechanism | Gate | Game Effect |
|---|---|---|
| Probability diffusion | hadamard(prop, t) | Fractional H^t spreads probability gradually |
| Interference barriers | phase_rotate(preds, π) | Grover oracle — walls reflect probability |
| Focus ability | inverse_hadamard(prop) | Concentrate probability back to specific cells |
| Neighbor entanglement | i_swap(0.5) | Adjacent hexes entangle at shared boundaries |
| Battle resolution | measure_properties() | Combat pulse collapses ownership |
The dimension-7 design maps directly to hex geometry: |0⟩ = center, |1⟩–|6⟩ = six neighbor directions. Interference and diffraction emerge naturally from the quantum mechanics — probability waves bend around corners and reflect off barriers.