Scope of this independent guide
Lk31.cc is an independent query-information guide with its own Cycle Cabinet browser simulator. Its name and search queries authenticate no casino operator, official domain, app, licence or commercial affiliation. No outside account, catalogue, financial service or regional availability is established here.
The simulator uses original permutation-cycle rules and free virtual coins. It offers no deposits, withdrawals or cash prizes. Its calculations describe this browser software and cannot test an outside business or commercial game.
Evidence limits for external claims
This guide authenticates no external operator, airport, official domain, licence, support contact, app publisher or commercial safety verdict. A name, aviation-related query, logo or attractive interface cannot establish affiliation. HTTPS encrypts transport to a selected host without certifying its business.
Cycle Cabinet results describe only this browser simulator. They cannot test outside game interfaces, airport services, funds or transactions. No commercial testing history, payout record, regulator endorsement or regional authorisation is established here.
One permutation and disjoint nontrivial cycles
One spin draws a uniformly random permutation of six labelled positions zero through five. Read each position as pointing to its permuted label. Follow these pointers until returning to the starting position to identify a disjoint cycle, then continue from an unvisited position.
Raw score counts cycles of length at least two. Fixed points, which point to themselves, are excluded. Count cycles rather than moved positions or adjacent label matches. One whole captured stake covers the six-position permutation; there are no separate row shares. All 720 permutations are equally likely.
Exact 720-permutation means and whole-stake credit
There are 720 equally likely permutations of six distinct labels. Choose Low, Medium or High before spinning. Positive raw scores receive square-root, identity or square weighting respectively; zero remains zero. These are weights rather than final payout multipliers.
For each mode calculate the exact mean weight over all 720 permutations, including the zero-score identity. Gross virtual credit equals the whole captured stake times 0.96 times its observed weight divided by that mean. Every mode has 96% exact expected gross return. One whole-permutation return is paid, without separately paid rows.
The stake is deducted before settlement, so gross credit is not net profit. Modes change positive credits after separate normalisation but preserve positive-score frequency. Neither a nontrivial cycle nor 96% expectation guarantees a session balance or a 96% winning chance.
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 or airport?
No. It supplies its own simulator and authenticates no outside commercial affiliation.
What does a spin draw?
One uniformly random permutation of six distinct labels zero through five.
What does raw score count?
Disjoint permutation cycles of length at least two, excluding fixed points.
Inspect the home-page Cycle Cabinet simulator using free virtual coins. Leave at your chosen stopping time.
Play the free demo