Scope of this independent guide
Jolyph.info is an independent query-information guide with its own Radial Area browser simulator. A name, query or matching domain establishes no gaming operator, official app, licence, catalogue or commercial affiliation. This guide supplies no commercial account, deposit, withdrawal or cash prize.
The geometric simulator has original rules and free virtual coins. Its results do not test an outside platform, certify a business or reproduce a commercial game.
Evidence limits for external claims
This guide authenticates no external operator, official domain, licence, testing seal, commercial support contact or safety verdict. A name, logo, search result or attractive page cannot establish affiliation. HTTPS encrypts transport to the selected host without certifying its business.
Radial Area calculations concern only this simulator. Playing it cannot test an outside platform, app or transaction. No external payment limits, fees, processing times or regional availability are established here. A geometric result does not support a claim that a separate platform is likely legitimate or safe.
Five radii and an ordered closed contour
One spin draws five independent integer radii, each uniformly chosen from zero through three. In order, multiply them by the fixed vectors(1,0),(1,1),(0,1),(-1,0),(0,-1) to produce five points. Keep that point order and close the contour from its last point to its first.
Raw score is the absolute value of the sum of x_i times y_next minus y_i times x_next over all five edges, including the closing edge. This is doubled shoelace area, not area itself. A zero score returns zero. One whole captured stake covers the complete contour, without separately paid rows.
Exact 1,024-sequence means and whole-stake credit
Five independent four-way radii give 1,024 equally likely ordered radius sequences. Choose Low, Medium or High before spinning. Positive raw scores receive square-root, identity or square weighting respectively; zero remains zero. Since raw score is2A for area A, the weights are square root of2A,2A and4A squared. These weights are not final multipliers.
For each mode calculate its exact mean weight over all 1,024 sequences, including zero scores. Gross credit equals the captured whole stake times0.96 times the observed weight divided by that mean. Each mode has 96% exact expected gross virtual return, with one whole-contour return.
The stake was deducted before settlement; gross credit is not net profit. Modes change positive credits after separate normalisation while preserving positive-score frequency. The 96% expectation guarantees neither a session balance nor a 96% chance of winning.
Local storage and third-party requests
Browser localStorage keeps the settled virtual balance and fractional-credit carry. Pages request Google Fonts and a Statinside analytics script. Hosting, CDN and third-party requests may expose IP address, browser, device, path and request details. No anonymity, particular retention period, cookie lifetime or complete processing profile is established.
This guide has no registration or identity-document form. That does not mean browsing produces no personal data or that records cannot be linked to someone. Cache clearing alone may leave localStorage intact. Removing site data can erase the wallet without deleting requests or records already held elsewhere. Free refill changes local game state; it is not a data-deletion tool.
Frequently asked questions
Does this guide represent a casino operator?
No. It supplies its own geometric simulator and authenticates no external commercial affiliation.
What are the random inputs?
Five independent integer radii, each uniformly chosen from zero through three.
Which vectors are scaled?
In order:(1,0),(1,1),(0,1),(-1,0),(0,-1). Keep the resulting point order.
Inspect the home-page Radial Area simulator using free virtual coins. Leave at your chosen stopping time.
Play the free demo