The core game is Directed Eccentricity. It features a specific graph-based scoring system and a live gross quote mechanism. Every policy using only revealed information has a 97% expected gross return.
Game Mechanics: Directed Eccentricity
Directed Eccentricity operates on a graph of four vertices (0–3). Twelve fair switches form all directed non-loop edges.
- Scoring: If vertex 0 cannot reach every other vertex, the reward is zero. Otherwise, the reward is vertex 0’s largest shortest directed distance (eccentricity).
- Revelation: Independent fair switches are revealed in row-major edge or matrix order.
- Quote: The live gross quote is 0.97 times the conditional expected terminal reward, divided by its initial expected reward. It may rise or fall. A zero quote ends the round immediately; a positive final quote settles automatically.
- Collection: Manual collection is available after the first reveal. Auto thresholds (1.2, 2, 3, or 5) collect the actual full first-crossing quote. An unreachable threshold waits for the terminal result.
- Deduction: The 3% opening deduction appears only once in the quote.
Stakes, Modes and Controls
The demo supports one active stake at a time: 10, 20, 50, or 100 virtual coins.
Busy settings and refill locks are active during play. Controls for stake, mode, and refill are locked while a round is active. Sound remains available during play, and manual collection is available after the first reveal while the round is active.
Directed Eccentricity — Current gross quote
| S | N / 4096 |
|---|---|
| 0 | 1664 / 4096 |
| 1 | 512 / 4096 |
| 2 | 1536 / 4096 |
| 3 | 384 / 4096 |
E[S] = 4736 / 4096.
| d | Auto × | E[×] |
|---|---|---|
| 1 | 0 | 0.97 |
| 6 | 0 | 0.97 |
| 12 | 0 | 0.97 |
| 12 | 1.2 | 0.97 |
| 12 | 2 | 0.97 |
| 12 | 3 | 0.97 |
| 12 | 5 | 0.97 |
Wallet and Persistence
Initial Balance: 1000 virtual coins.
Restoration: An idle balance below 10 may be manually restored to exactly 1000. This is a manual set, not automatic replenishment. Fractional change is preserved.
Persistence: Fractional carry persists through settlement, manual refill, and reload. The local settled balance, including zero, persists.
Reload: Reloading the page ends an unfinished round without refund or resume. Progress is not resumable across reloads.
Privacy and Storage
The game source uses localStorage for settled balance and fractional carry. This does not establish anonymity or exclude other processing.
Fonts are loaded from files hosted on this site.
Audience and Responsibility
18+ is this guide’s own intended audience policy, not a universal legal age or implemented age gate.
Responsible use includes optional pauses, setting a personal time/virtual-coin limit, and finding appropriate local qualified help. The demo does not clinically train behaviour or make losses safe.
Frequently asked questions
Is 777aa an official casino operator?
The query identity remains unverified. This demo belongs to this independent guide and does not certify or reproduce any outside product. No official link, licence, or verified app is established.
How does the auto-collect work?
Auto thresholds (1.2, 2, 3, or 5) settle the full actual first-crossing quote before later zero events. A zero quote ends the round immediately; a positive final quote settles automatically at the finite trace cap.
Does reloading refund my balance?
No. Reload does not refund an unfinished round. An unfinished round ends without refund or resume.