Game Mechanics: Directed Eccentricity
Directed Eccentricity uses twelve fair switches to form all directed nonloop edges on vertices 0 through 3. The game evaluates reachability and distance:
- If vertex 0 cannot reach every other vertex, the reward is zero.
- Otherwise, the reward is vertex 0’s largest shortest directed distance.
Independent fair switches are revealed in row-major edge or matrix order. 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. A zero quote ends the round immediately; a positive final quote settles automatically.
Payout, Staking and Auto-Collection
Every policy using only revealed information has a 97% expected gross return. The 3% opening deduction appears only once in the quote.
Controls and Modes
- Active Stake: One active stake of 10, 20, 50, or 100.
- Manual Collection: Available after the first reveal.
- Auto-Collect Thresholds: Settings for 1.2, 2, 3, or 5 collect the actual full first-crossing quote. If a threshold is unreachable, the system waits for the terminal result.
Settlement
- A zero quote ends the round immediately.
- A positive final quote settles at the finite trace cap.
- Auto thresholds settle the full actual first-crossing quote before later zero events.
Wallet, Restoration and Persistence
The demo uses a local virtual wallet. Virtual coins have no cash value.
Balance Restoration
An idle balance below 10 may be manually restored to exactly 1,000. This is a manual set operation, not an automatic refill or addition of coins. Fractional carry is preserved during this restoration.
Persistence and Reload
- Fractional Carry: Persists through settlement, manual refill, and reload.
- Settled Balance: Local settled balance, including zero, persists.
- Reload Limit: Reloading the page ends an unfinished round without refund or resume. It does not refund the stake.
Mathematical Evidence and RTP
The table below shows simulation measurements supporting the exact mathematical payout law. Expected RTP is not a promised session result.
| Stop | Auto | Expected RTP | Measured RTP |
|---|---|---|---|
| 1 | 0 | 96.99999999999945% | 96.99737837982656% |
| 6 | 0 | 96.99999999999643% | 96.9413281082189% |
| 12 | 0 | 96.99999999999514% | 96.89723243295018% |
| 12 | 1.2 | 96.99999999999957% | 96.93115621610869% |
| 12 | 2 | 96.99999999999548% | 97.01442940598064% |
| 12 | 3 | 96.99999999999514% | 96.75218335187262% |
| 12 | 5 | 96.99999999999514% | 97.00092281133118% |
Privacy, Storage and Audience
Storage: Game source uses localStorage for settled balance and fractional carry. This does not establish anonymity or exclude other processing. Clearing cached files may leave local storage if not explicitly cleared.
Third Parties: The template declares a Google Fonts stylesheet; actual full-site network capture remains pending.
Audience: The 18+ label indicates this guide's intended audience policy, not a universal legal age or implemented age gate.
Demo Identity and Scope
This demo belongs to this independent guide and does not certify or reproduce any outside product. There is no account login flow, cashier, or verified app package. The demo uses busy settings and refill locks during active play, but sound and specific game choices remain available. No external operator terms, licences, or enforceable guarantees are asserted.
Frequently asked questions
Does reloading the page refund an unfinished round?
No. An unfinished round ends without refund or resume upon reload. Only settled balances persist.
How is the balance restored if it drops below 10?
When idle and below 10, you can manually restore the balance to exactly 1,000. This preserves any fractional carry. It is not an automatic refill.
What is the difference between expected RTP and measured RTP?
Expected RTP is the mathematical value, 97%; values such as 96.99999999999945% reflect floating-point calculation precision. Measured RTP is a simulation observation (e.g., 96.99737837982656%) that supports but does not equal the mathematical law.
