The game uses a unique affine plane structure where twelve fair bits form four three-bit vectors. The reward is one if the four vectors are distinct and XOR to zero, otherwise zero. This is not a standard zero-sum triple count. Every policy using only revealed information has a 97% expected gross return. The live gross quote is 0.97 times the conditional expected terminal reward, divided by its initial expected reward. It may rise or fall. A zero quote ends the round immediately; a positive final quote settles automatically. Manual collection is available after the first reveal; auto 1.2, 2, 3 or 5 collects the actual full first-crossing quote, and an unreachable threshold waits for the terminal result. The 3% opening deduction appears only once in the quote. One active stake, 10/20/50/100, busy settings and refill locks; idle balance below 10 may be restored to 1,000 with fractional change preserved. Reload does not refund an unfinished round.
Game Mechanics and Rules
The core mechanic involves twelve fair bits forming four three-bit vectors. A reward is granted only if these four vectors are distinct and their XOR sum is zero. This structure defines an affine plane, distinguishing it from simpler triple-count models. Bits reveal in order from least significant to most significant. Consecutive groups of three form four vectors using binary weights 1, 2 and 4 within each group.
The live gross quote is calculated as 0.97 times the conditional expected terminal reward, divided by its initial expected reward. This quote may rise or fall during the round. If the quote hits zero, the round ends immediately. If the round concludes with a positive final quote, it settles automatically. Manual collection becomes available after the first reveal.
Payout Structure and Settlement
The terminal success count is 336 of 4,096 equally likely twelve-bit words (21/256). The opening gross quote is 0.97. Every stopping policy based only on revealed information has 97% expected gross return before whole-coin credit rounding. This is an expectation, not a promise for a session.
| Stopping rule | Exact expected return | Observed in 1,000,000 rounds |
|---|---|---|
| Manual bit 1 | 97.000% | 97.000% |
| Manual bit 6 | 97.000% | 97.030% |
| Manual bit 12 | 97.000% | 96.963% |
| Auto 1.2 | 97.000% | 96.848% |
| Auto 2 | 97.000% | 97.128% |
| Auto 3 | 97.000% | 97.586% |
| Auto 5 | 97.000% | 96.909% |
Each row is a separate fresh simulation of this current game file. Sample differences are normal; displayed quotes use four decimal places, while settlement uses the unrounded value and saved carry.
Stopping Rules and Auto-Cashout
Manual collection is only available after at least one reveal. Auto thresholds set to 1.2, 2, 3, or 5 settle the full actual first crossing quote before later zero events. If a threshold is unreachable, the system waits for the terminal result. A zero quote ends the round immediately, while a positive final quote settles at the twelfth reveal.
Wallet and Persistence
The demo uses a local settled balance including zero. Fractional carry persists through settlement, manual refill, and reload. However, an unfinished round ends without refund or resume upon reload. The idle balance below 10 may be restored to 1,000 with fractional change preserved. This is a manual idle-only restoration that SETS the balance to exactly 1000; it does not add coins or provide automatic replenishment.
Privacy and Data Storage
Game source uses localStorage for settled balance and fractional carry; this does not establish anonymity or exclude other processing. The absence of account or payment controls in the demo does not prove that no personal data are processed. This site loads a Google Fonts stylesheet and font files, and its builder includes Statinside44 measurement requests. These external providers receive network requests; local wallet storage does not imply anonymous or exclusively local processing.
Responsible Use and Audience
This guide has an intended 18+ audience policy and no implemented age gate. You may choose pauses and a personal time or virtual-coin limit. The interface has no enforced timer, account block or self-exclusion feature. The demo is not a clinical tool, and its stopping controls do not guarantee profits or make losses safe.
Frequently asked questions
What is the expected return for Affine Plane Witness?
Every policy using only revealed information has a 97% expected gross return. Simulation measurements are supporting sample observations, not the mathematical payout law or a promised return. Keep exact expected values distinct from measured estimates and display-rounded multipliers.
How does the auto-cashout work?
Auto thresholds of 1.2, 2, 3, or 5 collect the actual full first-crossing quote. If a threshold is unreachable, the round waits for the terminal result. Manual collection is available after the first reveal.
What happens to my balance if I reload the page?
Reload does not refund an unfinished round. An unfinished round ends without refund or resume. However, settled balance including zero persists, and fractional carry persists through reload.
