Board and Support Mechanics
The game uses a four-by-four grid. When you select a mine count, the board is drawn uniformly from a specific finite support of legal boards. This support is defined by the public constraint that anti-diagonal occupancy alternates at each step. Unlike standard mines games, the draw is not uniform over all unconstrained boards but restricted to this support. Each safe reveal filters the support, reducing the number of compatible boards remaining. Known-certain mines are disabled to prevent redundant reveals.
Payout Formula and Gross Quote
The payout is determined by the following exact formula for each safe reveal:
- Gross Quote = 0.96 × Captured Stake × Initial Support Size / Current Compatible Support Size
The multiplier increases as the compatible support size decreases. For example, with 3 mines, initial support is 24 boards. Revealing cell 0 safely leaves 22 boards and a gross multiplier of 0.96 × 24 / 22 ≈ 1.047. The safe path [0, 1, 2] leaves 18 boards and gives 1.28×. The game caps individual transitions at 1000 times the stake; if a reveal would exceed this cap, the cell is disabled. The current quote is automatically banked when no eligible reveal remains.
Controls, Modes, and Stopping Rules
Controls: The board is four-by-four. Mine count choices are limited to the exact nonempty support configurations available in the source. Actions are manual; there is no auto queue. Sound remains available throughout. Captured stake and mine count are locked during the round.
- Manual Bank: Becomes available only after at least one safe reveal.
- Auto Bank: Triggers automatically when no eligible cell remains.
- Stops: A mine ends the round with zero gross. Manual bank or auto bank also ends the round.
Mathematical Evidence and RTP
The exact gross RTP for Anti Diagonal Alternation is consistently 0.96 (96%) across all tested modes. Simulation measurements support this but are not the mathematical law itself. Below are observed results from 1,000,000 rounds for various mine counts and policies:
| Mines | Policy | Exact Gross RTP | Measured RTP | Gross Multiplier |
|---|---|---|---|---|
| 3 | 0 | 0.96 | 96.065 | 1.047 |
| 3 | 5 | 0.96 | 95.849 | 23.04 |
| 4 | 0 | 0.96 | 96.048 | 1.152 |
| 4 | 5 | 0.96 | 96.535 | 126.72 |
| 5 | 0 | 0.96 | 95.906 | 1.28 |
| 5 | 5 | 0.96 | 96.626 | 422.4 |
Wallet and Persistence
The demo uses a virtual wallet with an initial balance of 1000 coins. Refill: A manual refill is available only when idle and below a balance of 10. This action sets the integer wallet to exactly 1000 and preserves any fractional carry. Persistence: Fractional carry persists across settlement, refill, and reload. Settled balance persists locally, including zero balances. If an unfinished round ends due to a reload, there is no refund or resume. There is no account login or payment flow in this demo.
Privacy and Audience
Storage: The demo uses browser localStorage for settled balance and fractional carry. This does not establish anonymity or exclude other processing. A Google Fonts stylesheet is declared in the template. Audience: This guide targets an 18+ audience policy, which is not a claim about local law or an implemented age gate. The demo does not clinically train behavior or make losses safe.
Frequently asked questions
How is the board drawn in Anti Diagonal Alternation?
The board is drawn uniformly from a specific finite support of legal boards that satisfy the anti-diagonal occupancy alternation rule. It is not drawn from all unconstrained boards. Each safe reveal filters this support.
What happens if I reload during an active round?
An unfinished round ends without refund or resume. The balance persists, but the specific round state is lost. Fractional carry is preserved.
How do I refill my virtual coins?
You can manually refill when idle and your balance is below 10. This sets the balance to exactly 1000 coins, preserving any fractional carry.