Rotation Class Rules: Six Symbols and Cyclic Symmetry

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.

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.

Check periodic circles and their raw scores

The circle 000000 is unchanged by all five nonidentity shifts and scores five. The circle 012012 is unchanged only by shift three and scores one. The circle 010101 is unchanged by shifts two and four and scores two. A circle with no qualifying nonidentity shift scores zero.

All six comparisons must hold for each qualifying shift. A visually similar rotation with even one different position does not qualify. Mirroring the circle is a different operation and cannot add points. The identity operation always preserves a circle but is deliberately excluded from the score.

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.

Captured rounds and the persisted wallet

A new browser wallet starts with 1,000 free virtual coins. Settled balance and fractional-credit carry persist in localStorage. Reload does not replenish settled funds. Fractional returns accumulate before whole coins are credited rather than being discarded after each spin.

A spin captures one total stake and one mode for its entire six-symbol circle. Settings and refill lock during settlement and an active automatic queue. Auto runs at most ten rounds; Stop prevents future rounds while an already active round settles. Optional free refill is available only while idle with balance below ten. It sets balance to 1,000 and preserves fractional carry. Coins cannot be bought, transferred, redeemed or withdrawn.

Adult use and a chosen stopping time

The site rule limits this guide and simulator to adults aged 18 or older. That rule establishes no regional gambling age or commercial service eligibility. Choose a stopping time outside the game and leave when it arrives.

Free virtual losses do not need recovery; refill can remain unused. If play displaces other activities or causes distress, pause and seek qualified local support. No diagnostic threshold, treatment promise or authenticated local helpline is supplied here.

Pause without recovering virtual losses

Stop cancels future automatic rounds; an already active spin settles under its captured settings. Closing the page ends participation. A result creates no obligation to recover the starting virtual balance or continue playing.

A different weighting mode changes positive credits but not the chance of a positive raw score. Raising stake scales debit and possible credit without improving expected return per coin. Previous circles do not make a later symmetry due to appear. Keep the stopping time independent of the last result.