Game Mechanics and Scoring
The game generates a 3 by 3 matrix A from nine fair bits. The core scoring condition checks if the matrix is idempotent under multiplication over the field GF(2). Specifically, the reward is one when A squared equals A over GF(2), otherwise it is zero. The zero matrix is included in the valid outcomes.
There is no auto-play, stop, or cash-out feature. One whole stake is captured per board when the draw starts. The available stake buttons are 10, 20, 50, and 100.
Payout Modes and Expected Return
The raw reward (1 or 0) is raised to a power of 1, 2, or 3. Each mode is separately 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 | 96.00000000000006% | 96.0345335174488% |
| Power 2 | 96.00000000000006% | 95.9862289657244% |
| Power 3 | 96.00000000000006% | 95.64470731055003% |
Displayed multipliers represent gross coin returns, not net profit. Simulation measurements are supporting sample observations and do not guarantee session results.
Wallet and Balance Management
The demo begins with an initial balance of 1000 virtual coins. Fractional payout changes persist through settlement, manual refill, and reload.
- Restoration: If the idle balance falls below 10, you can manually restore it. This action sets the balance to exactly 1000. It is not an automatic replenishment or an addition of coins.
- Unfinished Rounds: If you reload the page during an active draw, the unfinished round ends without refund or resume. Only settled balances persist.
- Controls: Stake, mode, and refill buttons are locked during active play. Sound remains available.
Storage and Privacy
The game source uses localStorage for the settled balance and fractional carry. This does not establish anonymity or prove that no other personal data are processed. The absence of account controls in the demo does not imply a lack of data processing elsewhere.
The template declares a Google Fonts stylesheet, indicating a third-party request, though a full network capture is not provided here. Clearing cached files may leave local storage data if not explicitly cleared.
Audience and Responsibility
This guide targets an 18+ audience policy, which is not a universal legal age or an implemented age gate. Responsible use is encouraged. You can choose your own time or virtual-coin limits and follow them manually; the interface does not enforce them. Finding appropriate local qualified help is recommended for responsible gaming.
The demo does not clinically train behavior or make losses safe. There are no account-level blocking or self-exclusion tools implemented in this specific demo interface.
Identity and Evidence
The queried identity remains unverified except for individually reviewed primary-source facts. No external operator catalogue, license, or verified app is established by this demo. The demo belongs to this independent guide and does not certify any outside product. The exact eligibility threshold for wallet restoration is a balance below 10.
Frequently asked questions
What is the exact condition for a winning reward in Idempotent Stamp?
A reward is paid when the generated 3 by 3 matrix A satisfies the condition that A squared equals A over GF(2). The zero matrix is included as a valid winning state.
How does the wallet restoration work?
If your idle balance drops below 10, you can manually click to restore it. This action sets your balance to exactly 1000. It is a manual set, not an automatic refill.
What happens if I reload the page during a game?
An unfinished round ends without a refund or resume. Only the settled balance, including any fractional carry, persists locally. You cannot recover the unfinished draw.
