The game uses nine fair bits to form a 3x3 matrix. Returns are determined by the properties of the matrix inverse over the finite field GF(2). Below is the exact mathematical structure and wallet behavior observed in this demo.
Scoring and Modes
The core mechanic involves nine fair bits forming a 3 by 3 matrix A. The scoring is deterministic based on linear algebra over GF(2):
- Singular Matrix: If the matrix is singular, the reward is zero.
- Non-Singular Matrix: If the matrix is non-singular, the reward counts the number of nonzero entries in the unique inverse of A over GF(2).
The raw reward is raised to a power (1, 2, or 3) and normalized by its exact mean over all equally likely complete draws. This normalization results in an expected gross return of 96% in each mode.
| Mode (Power) | Expected RTP | Measured RTP (Sample) |
|---|---|---|
| Power 1 | 96.00% | 96.22% |
| Power 2 | 96.00% | 95.83% |
| Power 3 | 96.00% | 96.25% |
Note: Measured RTP values are supporting sample observations from 1,000,000 rounds and do not guarantee session results.
Controls and Stakes
The demo offers four stake options: 10, 20, 50, and 100 virtual coins.
- One whole stake is captured per board draw.
- No Auto Play: There is no automatic queue.
- No Stop/Cash-out: Players cannot stop early or cash out; the draw must complete.
- Controls: Stake, mode, and refill buttons are locked during active play. Sound controls remain available.
Wallet and Persistence
The demo uses a local virtual wallet. The following rules apply to balance management:
- Initial Balance: 1,000 coins.
- Restoration: If the idle balance drops below 10, a manual restore button sets the balance to exactly 1,000. This is a manual set, not an automatic replenishment or deposit.
- Fractional Carry: Fractional payout changes persist through settlement, manual refill, and reload.
- Unfinished Rounds: If the page is reloaded during an unfinished draw, the round ends without refund or resume.
- Settlement: The local settled balance, including zero, persists in the browser.
Data and Privacy
The game stores its wallet locally; the page also declares external resources:
- Storage: The game source uses localStorage for settled balance and fractional carry. This does not establish anonymity or exclude other processing.
- Third Parties: The template declares a Google Fonts stylesheet; actual full-site network capture remains pending.
- Account/Payment: There is no account login flow or payment flow in this demo.
Responsible Use
18+ Audience: This guide targets an 18+ audience policy. It is not a universal legal age or an implemented age gate.
- Virtual Coins: Coins have no cash value and cannot be withdrawn.
- Behavior: The demo does not clinically train behavior or make losses safe.
- Tools: There are no account-level blocking, timer, or self-exclusion tools in this demo interface.
Mathematical Evidence
The exact payout law is defined by the source-bound mathematical evidence. The expected RTP is 96% for all modes. The table below shows the observed data from 1,000,000 rounds:
| Power | Rounds | Final Carry | Wallet Paid RTP |
|---|---|---|---|
| 1 | 1,000,000 | 0.0444 | 96.21851% |
| 2 | 1,000,000 | 0.9333 | 95.82647% |
| 3 | 1,000,000 | 0.7316 | 96.24641% |
Fractional carry values shown here are rounded observations from the simulation sample.
Frequently asked questions
How is the reward calculated in Inverse Hamming?
The reward is based on a 3x3 matrix formed by nine fair bits. If the matrix is singular, the reward is zero. If non-singular, the reward is the count of nonzero entries in the unique inverse over GF(2), raised to a power (1, 2, or 3) and normalized by the exact mean.
What happens to my balance if I reload the page?
If you reload during an unfinished draw, the round ends without a refund or resume. Settled balances and fractional carry persist in localStorage.
Can I restore my balance automatically?
No. If your idle balance drops below 10, you must manually click the restore button to set the balance to exactly 1,000. There is no automatic replenishment.
The public HTML also declares a Statinside script (https://statinside.com/counter.js) and a Statinside noscript pixel. These declarations are not a complete network capture or evidence of retention policies.
