Game Board and Scoring Mechanics
The game operates on a directed graph with four vertices, labeled zero through three. The board consists of twelve fair switches that form all possible directed edges that do not loop back to their starting vertex. These switches are independent and are revealed in row-major order, either as a list of edges or as a matrix layout.
The core scoring function determines your return based on connectivity. If vertex zero cannot reach every other vertex in the graph, the round rewards zero. If vertex zero does reach every vertex, the reward is the largest shortest directed distance from vertex zero to any other vertex. This distance is measured in the number of hops required to traverse the edges.
Expected Return and Quote Calculation
The live gross quote represents the expected return relative to the initial stake. It is calculated as 0.97 times the conditional expected terminal reward, divided by the initial expected reward. This means the game has a built-in 3% opening deduction that appears only once in the quote calculation. Every policy that uses only the information revealed during the round maintains a 97% expected gross return.
The quote can rise or fall as switches are revealed. A zero quote ends the round immediately. A positive final quote settles automatically at the end of the trace cap. The displayed multipliers represent gross coin returns, not net profit.
Controls, Auto-Collection and Modes
Players can select one active stake from the options 10, 20, 50, or 100. During active play, the stake, mode and refill settings are locked, though sound remains available. Manual collection is available after at least one reveal has occurred.
Auto-collection thresholds are set to off, 1.2, 2, 3, or 5. When an auto-threshold is reached, the system settles the actual full first-crossing quote. If a threshold is unreachable before the terminal result, the round waits for the final outcome. A zero quote still ends the round immediately even if an auto-collection threshold has been set.
Wallet, Restoration and Reload Rules
The demo uses a local virtual wallet with an initial balance of 1000. Fractional carry persists through settlement, manual refill and reload. If the idle balance drops below 10, it may be manually restored to 1,000, with the fractional change preserved. This restoration is not automatic and does not add the reset amount to an existing balance; it sets the balance to the fixed amount.
Reloading the page does not refund an unfinished round, nor does it resume progress. An unfinished round ends without refund. The settled balance, including zeros, persists locally. The wallet is purely virtual with no cash value and no cashier interface.
Mathematical Evidence and Simulation
Mathematical evidence records the modes, rounds, expected return, measured return and final carry. For example, in a simulation of 1,000,000 rounds with stop at 1 and auto at 0, the expected return is approximately 97%, while the measured return is approximately 96.997%. Final carry values vary by mode, ranging from roughly 0.24 to 0.88 in tested configurations.
These figures represent sample observations from specific strategies and settings. The expected return is a mathematical expectation, not a guarantee for a single session. Wide numerical tables are omitted here; the key takeaway is that the 97% expected gross return holds across policies using only revealed information.
Site Facts and Identity Context
The 777aa demo is an unverified original browser game. It uses localStorage for the settled balance and fractional carry, but this does not establish anonymity or exclude other processing. The template declares a Google Fonts stylesheet, though a full network capture is pending. There is no demo account flow or payment flow. The intended audience policy is 18+, which is a guide recommendation rather than an implemented legal age gate.
Frequently asked questions
What is the exact scoring rule for Directed Eccentricity?
The game uses a directed graph with four vertices and twelve switches. If vertex zero cannot reach every vertex, the reward is zero. If it can reach every vertex, the reward is the largest shortest directed distance from vertex zero to any other vertex.
How is the gross quote calculated?
The live gross quote is 0.97 times the conditional expected terminal reward divided by the initial expected reward. The 3% opening deduction appears only once. The quote may rise or fall as switches are revealed.
When does the round end?
The round ends immediately if the quote reaches zero. It also ends automatically when the final positive quote is reached at the finite trace cap. Manual collection is available after the first reveal.
What are the auto-collection thresholds?
Auto-collection can be set to off, 1.2, 2, 3, or 5. These thresholds settle the actual full first-crossing quote. If a threshold is unreachable, the round waits for the terminal result.
How does the wallet restore work?
If the idle balance drops below 10, it can be manually restored to 1,000. The fractional change is preserved. Restoration is not automatic and does not add to the current balance; it sets it to 1,000.
Does reloading the page refund an unfinished round?
No. An unfinished round ends without refund or resume when the page is reloaded. The settled balance persists, but the active round is lost.
What stakes are available?
Players can choose one active stake from 10, 20, 50, or 100. These settings are locked during active play.
Is the expected return guaranteed?
No. The 97% expected gross return is a mathematical expectation over many rounds. Measured simulation percentages are sample observations and may vary.
Does the demo use a cash wallet?
No. The demo uses virtual coins with no cash value. There is no cashier, no payment flow, and no account login required.
What data is stored locally?
The game source uses localStorage for the settled balance and fractional carry. This does not prove anonymity or exclude other processing like server logging.
Is the site identity verified?
The identity is unverified except for individually reviewed primary-source facts. The 777aa demo is a browser game, not necessarily linked to a verified gaming operator.
What is the audience policy?
The intended audience policy is 18+, which serves as a guide recommendation. It is not a universal legal age or an implemented age gate.
