Independent query guide · virtual-coin demo

Terms and Mechanics: Complement Rotation Echo

The official website of 6zk. This page outlines the rules, wallet behavior and storage facts for the Complement Rotation Echo demo, an independent simulation by this guide. No external operator identity, licence or verified service is established by this page. The game uses twelve labelled cyclic rotations of the bitwise complement, revealing bits in order to calculate a score based on common-prefix length.
Play the free demo

Game Mechanics and Scoring

The game reveals twelve independent fair bits in sequence. For each of the twelve labelled cyclic rotations of the bitwise complement, the common-prefix length with the original word is squared and summed to produce a raw score. Players select one of three score powers:

  • Power 1: Raw score
  • Power 2: Squared score
  • Power 3: Cubed score

The live gross bank quote is calculated as: 0.96 × captured whole stake × conditional expected terminal raw score (raised to the selected power) / unconditional mean for that power. The quote can rise or fall as bits are revealed. If the conditional potential drops to zero, the round settles at zero gross.

Exact Unconditional Means

Score PowerExact Mean
1 (Raw)34.505859375
2 (Squared)2683.6201171875
3 (Cubed)632014.74609375

Controls, Modes and Stopping Rules

Players preselect a score power and an automatic reveal cap of 4, 8 or 12 phases. The captured stake, power and cap are locked until settlement. Sound remains available during play.

  • Manual Bank: Available immediately while live. Settles the current conditional quote.
  • Auto-Bank: Automatically banks the current quote when the selected cap is reached. If zero future potential is reached earlier, it banks immediately.
  • Settlement: Each semantic reveal follows a 650ms interval. No hidden future bits are exposed before their reveal.

Wallet and Persistence

The demo uses a virtual wallet with specific persistence rules:

  • Initial Balance: 1000 virtual coins.
  • Refill Rule: When idle and the balance is below 10, a manual refill sets the balance to exactly 1000. This is a manual set, not an automatic replenishment or addition.
  • Fractional Carry: Fractional values persist across settlement, refill and reload.
  • Reload Behavior: Reloading an unfinished trace ends the round without refund or resume. Settled balances persist locally, including zero.

Mathematical Evidence and RTP

The expected gross return under supported stopping policies is exactly 96%. This is an exact expected value, not a guarantee of net profit for any session. Simulation measurements support this but are not the law itself.

Measured RTP Samples

ModeAuto CapRoundsExact RTPMeasured RTP
041,000,0000.9695.96231570432197
081,000,0000.9695.9775930230864
0121,000,0000.9696.05569175897872
141,000,0000.9695.95700824974527
181,000,0000.9696.0677483816839
1122,000,0000.9695.55584502764736
241,000,0000.9695.9809557379735
282,000,0000.9695.81438388526658
21222,000,0000.9696.00171069171095

Storage and Privacy Facts

Based on observed source behavior:

  • Storage: The demo uses browser localStorage for settled demo balance and fractional carry. This does not establish anonymity or exclude other processing.
  • Third Parties: The template declares a Google Fonts stylesheet. Actual browser request capture is pending; this is not a claim that other requests or processing are absent.
  • Account/Payment: There is no demo account flow and no demo payment flow. Virtual coins have no cash value.

Audience and Responsible Use

The intended audience for this guide is 18+. This is a policy for the guide, not a claim about local law or an implemented age gate. The demo does not clinically train behavior or make losses safe. There are no account-level blocking, timer or self-exclusion tools in this interface.

Frequently asked questions

How is the final payout calculated?

The live gross bank quote is 0.96 × captured whole stake × conditional expected terminal raw score raised to the selected power, divided by the unconditional mean for that power. The quote can rise or fall. Zero conditional potential settles to zero.

What happens if I reload during a round?

Reloading an unfinished trace ends the round without refund or resume. The captured debit is lost. Settled balances persist locally.

How does the manual refill work?

When the balance is below 10 and the user is idle, a manual refill sets the balance to exactly 1000. Fractional carry is preserved during this process.