How Matrix Chain Scoring Works
The Matrix Chain demo calculates the minimum scalar multiplication cost for associating three matrices. This process requires four dimensions, each equal to its wheel reading plus 1. The game uses four independently uniform custom wheel readings, each ranging from 0 to 7, to supply the labelled inputs for these dimensions.
This is an independent roulette-family optimization demonstration and does not use a standard European roulette paytable. The optimal solution is calculated automatically by the system; the player does not manually choose an optimization solution. The outcome depends entirely on the generated wheel readings and the mathematical cost associated with them.
Reward Powers and Expected Return
The demo features three reward powers, labeled 1, 2, and 3. Each power uses its own exact mean derived from a 4096-draw distribution. All three powers offer a 96% expected gross return.
One-million-round simulations provide supporting sample observations. Mode 1 shows an expected return of 96.00000000000026% with a measured 96.079765%. Mode 2 shows an expected return of 96.00000000000013% with a measured 95.93633%. Mode 3 also shows an expected return of 96.00000000000013% with a measured 96.33741500000001%. These measured percentages are sample observations and not exact rules.
Stake, Controls and Settlement
Players select one whole stake from the options: 10, 20, 50, or 100. There is no automatic queue, no stop feature, and no cash-out option during a round. Each round captures the entire selected stake. The payout math records every mode, and displayed multipliers represent gross coin returns, not net profit.
Controls for stake, mode, and refill are locked while play is active. However, sound controls remain available.
Wallet Restoration and Idle Behavior
The demo uses a local wallet with an initial balance of 1000 virtual coins. If the balance falls below 10 while idle, the player can manually restore the wallet. This restoration sets the balance to exactly 1000 coins.
Crucially, manual restoration preserves any fractional change that occurred during the session. The restoration is not automatic and does not add the reset amount on top of existing funds; it simply resets the base balance. A saved wallet does not mean a round or all progress resumes automatically upon reloading.
Fractional Carry and Unfinished Reloads
Fractional carry persists through settlement, manual refill, and page reloads. This means that small decimal values from previous calculations are retained in the local state rather than being rounded down to zero immediately.
However, if you reload the page while a round is unfinished, that round ends without any refund or resume capability. The fractional carry from the settled balance remains, but the active round is lost. This is distinct from the idle restoration process, which applies only when the balance is below 10 and the system is idle.
Privacy and Local Storage
The game source uses localStorage to store the settled balance and fractional carry. This local storage does not establish anonymity or exclude other processing methods. There is no demo account flow or demo payment flow observed; the demo operates with virtual coins that have no cash value.
The template declares a Google Fonts stylesheet, but a full-site network capture is pending. Clearing cached files is distinct from removing this site's localStorage. Without network capture evidence, claims about server logging, encryption, or third-party data collection remain unverified.
Frequently asked questions
Is Matrix Chain a standard roulette game?
No. It is an independent roulette-family optimization demonstration. It uses wheel readings from 0 to 7 to determine matrix dimensions, but it does not follow a standard European roulette paytable. The outcome is based on the minimum scalar multiplication cost calculated automatically.
How are the four dimension readings determined?
The four dimension readings are supplied by four independently uniform custom wheel readings. Each reading is an integer between 0 and 7; the corresponding dimension is that reading plus 1. These inputs drive the mathematical calculation of the multiplication cost.
Do I choose the optimization solution?
No. The optimum is calculated automatically by the system. The player's role is to select the stake and mode, and then observe the result of the automated optimization based on the wheel readings.
What are the available stake options?
Players can choose one whole stake from the following values: 10, 20, 50, or 100. There are no partial stakes or variable bet amounts within a round.
Is there an auto-play or stop feature?
No. There is no Auto, Stop, or cash-out feature. Each round captures the whole selected stake, and the player manually starts each round, which then settles automatically.
How is the expected return calculated?
The expected return is based on the exact mean of a 4096-draw distribution for each reward power. All three powers offer a 96% expected gross return. This is a mathematical expectation, not a guarantee for any single session.
What happens if my balance drops below 10?
If the balance is below 10 and the system is idle, you can manually restore the wallet. This action sets the balance to 1000 coins while preserving any fractional change that has accumulated.
Does manual restoration add the reset amount?
No. Manual restoration sets the balance to 1000. It does not add the reset amount on top of existing funds. It simply resets the base balance to the standard initial value.
What happens to fractional carry during settlement?
Fractional carry persists through settlement, manual refill, and reloads. This means small decimal values are retained in the local state to ensure precision across rounds.
What happens to an unfinished round if I reload the page?
An unfinished round ends without refund or resume. The fractional carry from the settled balance remains, but the active round is lost. You will need to start a new round with the restored or current balance.
Does the demo track my personal data?
The game uses localStorage for settled balance and fractional carry. This does not establish anonymity or exclude other processing. The demo has no account or payment flow, but that does not exclude other data processing.
Is this a verified casino operator?
No. The identity status is unverified except for individually reviewed primary-source facts. This is a browser demo with virtual coins that have no cash value. There is no verified package, license, or cashier system associated with this specific demo interface.
