Virtual Coins and Wallet Behavior
The demo uses a virtual wallet with an initial balance of 1000 play coins. These coins do not represent real money and cannot be withdrawn. The balance is stored in your browser's local storage.
Fractional Carry: When a round settles, any fractional part of the payout that is not credited to your integer balance persists in local storage. This carry is retained across refills and page reloads, carrying the fractional remainder forward while the site’s localStorage remains available.
Restoration: You can manually restore your balance to exactly 1000 coins when the balance drops below 10 and the game is idle. This action sets the balance to 1000; it does not add to an existing balance or trigger automatic replenishment.
Round Persistence and Reload Policy
If you reload the page while a round is active (spinning), the following rules apply:
- The captured stake remains deducted from your balance.
- The round ends without refund, payout, or continuation.
- The round is not resumable; you must start a new round.
Upon reloading, controls reset to default: the stake returns to 20 and the first preset mode is selected. Only settled balances persist locally.
Game Mechanics: Divisor Ledger Reels
Reels: Two independent uniform reels show hexadecimal symbols 0–9 and A–F (values 10–15). Each reel value is 0–15.
Calculation: Read n = 16 * first + second + 1, an integer uniformly distributed 1–256. The statistic is the sum of τ(k) for k=1 to n. The reward score is n's statistic minus 1 (the exact minimum over 256 outcomes).
Modes: Before capturing a stake, select linear, squared, or cubed weights of the score. The gross multiplier is 0.96 * weight / exact 256-outcome mean.
| Mode | Weight Type | Exact Weight Denominator | Exact Gross RTP |
|---|---|---|---|
| 0 | Linear | 171,654 | 24/25 |
| 1 | Squared | 163,555,984 | 24/25 |
| 2 | Cubed | 177,623,231,202 | 24/25 |
τ(k) counts the positive divisors of k. The listed denominators are sums of weights over 256 outcomes; each exact mean is its sum divided by 256. Raw gross return is the captured stake times the multiplier, and the credited integer amount also includes previous fractional carry.
Controls and Stakes
Stakes: Selectable stakes are 10, 20, 50, or 100 play coins. The default is 20.
Locking: Settings, restoration, and starting another round are locked while a round is active. There is no intermediate collection; the entire reel share is settled at once.
Privacy and Storage
This demo stores the virtual-coin balance and fractional payout carry in browser local storage. Clearing cached files may leave local storage intact if not explicitly cleared. The page template loads Google Fonts stylesheets and font files. No account login is implemented; that absence does not establish the absence of personal-data processing.
Audience and Responsibility
This guide and its virtual-coin demo have an 18+ intended audience. This is not a universal legal age or an implemented age gate. Responsible use includes setting personal time or virtual-coin limits. The demo does not guarantee clinical behavior training or safe losses.
Frequently asked questions
Can I withdraw my virtual coins?
No. The coins in this demo are virtual, have no cash value, and cannot be withdrawn or exchanged for real money.
What happens if I refresh the page during a spin?
The captured stake remains deducted. The round ends without refund or payout. You must start a new round; the previous one does not resume.
How do I restore my balance?
When your balance is below 10 and you are idle, you can manually restore it. This sets your balance to exactly 1000 coins; it does not add to your current balance.
