Scope of this independent guide
AcePilots.net is an independent query-information guide with its own Rotation Class browser simulator. Its name and aviation-related queries establish no connection to an airline, pilot organisation, casino or commercial service. No external operator account, licence, catalogue, payment route or regional availability is authenticated here.
The simulator has original cyclic-pattern rules and free virtual coins. Its results do not test aviation skills, reproduce a commercial game or certify a business. This guide offers no deposit, withdrawal, cash prize or external account recovery.
Evidence limits for external claims
No external commercial operator, airline, licence or testing certificate is authenticated by this guide. A name, logo, search result or attractive page cannot establish affiliation. HTTPS encrypts transport to the selected host without certifying the business behind it.
Rotation Class calculations concern only this simulator. They cannot validate an outside game, app, transaction or aviation claim. This guide supplies no account of direct commercial testing, external commissions, certified industry approval or independently verified regional service availability.
One circle and five nonidentity shifts
One spin draws six independent symbols, each uniformly chosen from zero, one and two, and places them around one circle. The raw score counts nonidentity cyclic shifts that leave all six positions unchanged. Test shifts one through five; exclude identity shift zero. Reflections are not tested.
A shift qualifies only if every shifted symbol equals the original symbol at the corresponding position. This counts symmetry-preserving shifts, not the number of distinct rotations or matching adjacent pairs. The whole six-symbol circle uses one captured stake. There are no separately staked or paid rows.
Exact 729-circle means and whole-stake credit
There are 729 equally likely ordered circles, since each of six independent symbols has three possible values. Choose Low, Medium or High before spinning. Positive raw scores receive square-root, identity or square weighting respectively; zero remains zero. These weights are not final payout multipliers.
For each mode compute its exact mean weight over all 729 circles, including zero scores. Gross credit is the captured whole stake times0.96 times the observed weight divided by that mean. Each mode therefore has 96% exact expected gross virtual return. There is one whole-circle return, not three separate row returns.
The stake was deducted before settlement, so gross credit is not net profit. Weighting changes positive payout sizes after separate normalisation but preserves the positive-score frequency. The 96% expectation neither guarantees a session balance nor means a 96% probability of winning.
Frequently asked questions
Does this guide represent an airline or casino operator?
No. This independent guide supplies its own browser simulator and establishes no external commercial affiliation.
How many symbols does a spin draw?
Six independent symbols, each uniformly chosen from zero, one and two, arranged around one circle.
What does the raw score count?
Nonidentity cyclic shifts one through five that leave all six positions unchanged. Identity and reflections are excluded.
What is the score of 000000?
Five: every nonidentity cyclic shift preserves all six positions.
Why does 012012 score one?
Only shift three preserves every position. Identity shift zero is excluded.
Inspect the home-page circle simulator using free virtual coins. Leave at your chosen stopping time.
Play the free demo