The demo uses virtual coins with no cash value. It does not require an account, login, or KYC process. The results shown are based on the exact mathematical rules of the game as implemented in this demo, not on external platform data.
Purpose of This Guide
This independent guide explains the n52 query and its own original browser demo. It does not identify or certify an outside operator, app or business. Integer Hypotenuse Reels is the game provided here, not an established game offered by a queried external service.
Rules and wallet behavior refer to this demo only. No author biography, licence or business identity is established by these pages.
Original Virtual-Coin Demo
The demo allows users to play Integer Hypotenuse Reels using virtual coins. It is designed to reflect the exact mathematical behavior of the game as defined in the implemented demo rules.
Game Mechanics
- Reels: Two independent uniform reels show hexadecimal symbols 0–9 and A–F (values 10–15). Each reel value is 0–15.
- Integer Calculation: Read n = 16 * first + second + 1, an integer uniformly distributed 1–256.
- Statistic: Number of positive integer pairs x ≤ y with x² + y² = n².
- Reward Score: Subtract the exact minimum statistic over 256 outcomes (which is 0) from the statistic.
- Weights: Before one captured stake, select linear, square, or cube weights of that score.
- Gross Multiplier: 0.96 * weight / its exact 256-outcome mean.
- Stake: One captured stake per round. Default stake is 20 play coins. Options: 10, 20, 50, or 100.
- Payout: At settlement, floor(raw gross return + stored fractional carry) is credited; remainder persists. Zero-return rounds leave fractional carry unchanged.
Controls & Modes
- Stake, mode selectors, refill, and starting another round are locked while a round is active.
- No intermediate collection.
Mathematical Evidence & RTP
The following table presents the exact expected values and simulation measurements for each mode. Simulation measurements are supporting sample observations, not the mathematical payout law.
| Mode | Weight Type | Exact Gross RTP | Expected RTP | Measured RTP (1M rounds) | Std Error % |
|---|---|---|---|---|---|
| 0 | Linear | 24/25 | 96% | 95.86% | 0.13% |
| 1 | Squared | 24/25 | 96% | 96.11% | 0.24% |
| 2 | Cubed | 24/25 | 96% | 96.45% | 0.35% |
Note: The exact sums of weights are 169 (Mode 0), 319 (Mode 1), and 871 (Mode 2). The exact subtracted minimum statistic is 0.
The sums of weights over all 256 equally likely outcomes are 169, 319 and 871; their means are respectively 169/256, 319/256 and 871/256. The gross multiplier is 0.96 × 256 × weight / sum of weights. Gross return includes any returned stake, and 96% is an expected value rather than a guaranteed session return.
Wallet & Persistence Limits
The demo's wallet behavior is strictly defined by local storage and the implemented demo rules.
- Initial Balance: 1000 virtual coins.
- Restoration: Manual idle-only restoration sets the balance to exactly 1000 when eligible (idle) and balance below 10. This is not automatic replenishment or adding coins.
- Fractional Carry: Persists in browser localStorage across settlement, refill, and reload. Refill does not clear it.
- Unfinished Reload: Captured stake remains deducted. The unfinished round ends without refund, payout, continuation, or resume. Controls after reload reset to default stake (20) and first preset.
- Settled Balance: Persists locally, including zero.
Privacy & Data Storage
This guide observes only what is visible in the demo environment.
- Observed Storage: Virtual-coin balance and fractional payout carry are stored in browser localStorage.
- Third-Party Requests: The page loads Google Fonts stylesheets and font files, and includes the Statinside counter script with counter identifier 44.
- Account Flow: None. No account creation or login is required.
- Payment Flow: None. Virtual coins have no cash value.
- Privacy Limits: The absence of account controls does not prove no personal data is processed. This guide does not promise anonymity, encryption, or specific retention policies beyond what is observable.
Audience & Responsible Use
- Audience: This guide and its demo have an 18+ intended audience. This is not a universal legal age or implemented age gate.
- Responsible Gaming: Users can set personal time or virtual-coin limits. This demo does not clinically train behavior or make losses safe. It does not offer self-exclusion tools or account-level blocking.
- Help: Users should find appropriate local qualified help for gambling-related issues.
Frequently asked questions
Does this demo verify an outside real-money game?
No. Integer Hypotenuse Reels is this guide’s original virtual-coin demo. Its mathematical rules do not establish the software, payments or game catalogue of an outside service.
How does the fractional carry work?
Fractional carry persists in browser localStorage across settlement, refill, and reload. When a round settles, the floor(raw gross return + stored fractional carry) is credited. The remainder persists. Zero-return rounds leave fractional carry unchanged.
What happens if I reload the page during a round?
The captured stake remains deducted. The unfinished round ends without refund, payout, continuation, or resume. Controls reset to the default stake (20) and first preset.
