Game Mechanics and Mathematical Structure
The core game is named Binary Order. It uses a 3 by 3 matrix A formed by nine fair bits. The outcome depends on the properties of this matrix over the Galois field of two elements. If the matrix is singular, the reward is zero. If the matrix is non-singular, the reward is determined by the least positive integer k such that A to the power k equals the identity matrix. Players can choose to normalize this raw reward by raising it to the power of 1, 2, or 3.
Each mode has an expected gross return of 96%. This figure represents the mathematical expectation over all equally likely complete draws, not a guaranteed win rate for a single session. The game does not feature auto-play, stop limits, or cash-out options. Players select one of four stake buttons: 10, 20, 50, or 100 coins. One whole stake is captured per board at the start of the draw.
Settlement, Payouts, and Rounding
Payouts are calculated based on the normalized reward from the matrix power mode. The displayed multipliers represent the gross coin return, which includes the original stake. The net change is the gross return minus the captured stake. The system handles fractional payouts by persisting the fractional carry through settlement, manual refills, and page reloads.
Mathematical evidence from one million rounds per mode confirms the expected return. For power 1, the measured return is approximately 96.17 percent. For power 2, it is approximately 96.09 percent. For power 3, it is approximately 95.98 percent. These values are sample observations that align closely with the theoretical 96 percent expectation. The system rounds computational artifacts sensibly but retains the fractional carry in the local wallet.
Wallet Behavior and Balance Restoration
The demo operates with a local wallet. The initial balance is set to 1,000 coins. There is no account flow, meaning no login or registration is required. The balance is stored in the browser's local storage. If the idle balance drops below 10 coins, the user can manually restore the balance. This restoration sets the balance to 1,000 coins. The restoration is not automatic and does not add the reset amount to the existing balance; it replaces the current balance.
When the page is reloaded, any unfinished draw is ended without refund or resume. The settled balance, including any fractional carry, persists across reloads. Controls for stake, mode, and refill are locked during active play, but sound controls remain available.
Virtual Coins and Cash Value
The coins used in this demo are virtual. They have no cash value and cannot be exchanged for real money. There is no cashier, payment gateway, or financial service associated with this demo. The absence of a payment flow does not imply that the demo is a real-money gambling site. Users play with virtual assets for entertainment purposes only. The terms of this guide apply specifically to this browser-based simulation.
Audience and Responsible Use
The intended audience for this guide is users aged 18 and older. This is a policy guideline for the content, not a legally enforced age gate. Users are encouraged to practice responsible use by setting voluntary limits on time and virtual coin consumption. The game caps and resets are mechanical features and do not guarantee safe behavior or prevent loss. Users can monitor their own play without external enforcement. Local qualified help is available for those who wish to manage their gaming habits, though specific hotlines are not provided by this demo.
Privacy and Data Storage
The game source uses local storage to save the settled balance and fractional carry. This local storage does not establish anonymity, nor does it exclude other processing by the browser or network. The template declares a Google Fonts stylesheet, but a full network capture to confirm all third-party requests is pending. Clearing cached files in the browser is distinct from removing this site's local storage. Users should be aware that local storage persists until explicitly cleared. No personal data collection is confirmed by the demo itself, but browser-level data retention may apply.
Frequently asked questions
How is the reward calculated in Binary Order?
The reward is based on a 3 by 3 matrix formed by nine bits. If the matrix is singular, the reward is zero. If non-singular, the reward is the smallest positive integer k where the matrix raised to k equals the identity. This raw reward is then raised to power 1, 2, or 3 and normalized by its exact mean, yielding a 96 percent expected gross return.
What happens to my balance if I reload the page?
An unfinished draw ends without refund or resume. However, the settled balance, including any fractional carry, persists in local storage. You can manually restore your balance to 1,000 if it falls below 10 coins while idle.
Are the virtual coins real money?
No. The coins have no cash value and cannot be withdrawn or exchanged. The demo is a self-contained simulation with no payment or account service.
