Original browser game
No external GamGam commercial catalogue, providers, licence or game equivalence is authenticated. Four Quadrants is this site’s original Mines game with at least one hazard in each of four disjoint quadrants. Its mathematics does not establish an external service.
Four disjoint quadrants
Choose 4, 5 or 6 hazards on a 4×4 board. Divide it into four disjoint 2×2 quadrants: top-left, top-right, bottom-left and bottom-right. Each quadrant contains at least one hazard. This rule does not apply to all overlapping 2×2 squares. All 256, 1536 or 4480 legal layouts respectively are equally likely. One layout stays fixed throughout the round.
Exact conditional value
Live value starts at 0.97 times the virtual stake. A safe reveal divides it by that cell’s exact conditional safe probability among the remaining compatible legal layouts. A hazard ends the round with zero return. Reveals change knowledge, not the hidden layout.
A four-hazard example
With 4 hazards there is exactly one hazard in each quadrant. Every cell initially has safe probability 3/4. A safe first choice changes a 20-coin stake’s value to 20×0.97/(3/4), about 25.867 coins. Within that quadrant the next unrevealed cell has safe probability 2/3; another quadrant still has 3/4. Revealing three safe cells in one quadrant proves its fourth cell hazardous.
Collect and unavailable choices
Collect is available after a safe reveal. Proven hazards are unavailable; proven-safe cells have probability 1 and add no value. A choice with next value above 1000 times stake is unavailable. When no eligible uncertain choice remains, the current value is banked automatically. The guard is not a promise that 1000×stake can be reached.
Expected return
Exact expected return is 97% for permitted stopping policies. The initial 3% reduction is applied once; conditional safe-branch compensation preserves expectation. Choosing coordinates or stopping changes risk and variance, not this expectation. A short session is not guaranteed to match it.
Wallet and restoring balance
Settled balance and fractional payout carry persist in localStorage. Reloading during a round ends it without refunding its already deducted stake. Outside a round, refill restores 1000 coins when balance is below the smallest stake; it does not add 1000 or reset fractional carry. Hazard count, stake and refill are locked during play.
Local virtual coins
Local demo coins cannot be exchanged for money, withdrawn or used as evidence of an operator balance. Settings return to the interface defaults on reload; settled wallet and fractional carry persist. The game is not an authentication or external-security test.
Frequently asked questions
Is this an operator website?
This independent GamGam guide supplies its own free Four Quadrants Mines demo. Operator identity, domains, licence, apps, payments, support and commercial game equivalence have not been independently verified. No operator account or commercial link is supplied here.
What is the quadrant rule?
Choose 4, 5 or 6 hazards on a 4×4 board. Divide it into four disjoint 2×2 quadrants: top-left, top-right, bottom-left and bottom-right. Each quadrant contains at least one hazard. This rule does not apply to all overlapping 2×2 squares. All 256, 1536 or 4480 legal layouts respectively are equally likely. One layout stays fixed throughout the round.
How is value calculated?
Live value starts at 0.97 times the virtual stake. A safe reveal divides it by that cell’s exact conditional safe probability among the remaining compatible legal layouts. A hazard ends the round with zero return. Reveals change knowledge, not the hidden layout.
How do reveals change odds?
With 4 hazards there is exactly one hazard in each quadrant. Every cell initially has safe probability 3/4. A safe first choice changes a 20-coin stake’s value to 20×0.97/(3/4), about 25.867 coins. Within that quadrant the next unrevealed cell has safe probability 2/3; another quadrant still has 3/4. Revealing three safe cells in one quadrant proves its fourth cell hazardous.
When can I collect?
Collect is available after a safe reveal. Proven hazards are unavailable; proven-safe cells have probability 1 and add no value. A choice with next value above 1000 times stake is unavailable. When no eligible uncertain choice remains, the current value is banked automatically. The guard is not a promise that 1000×stake can be reached.
Explore the original free Four Quadrants Mines game.
