Independent query guide · virtual-coin demo

6zk Complement Rotation Echo: Demo & Rules

The official website of 6zk.

The official website of 6zk. This independent guide provides a free virtual-coin demo for Complement Rotation Echo. The game uses twelve labelled cyclic rotations of the bitwise complement. For each rotation, the common-prefix length with the original word is squared, summed, and raised to a selected power (raw score, squared score, or cubed score). Twelve independent fair bits are revealed in order, allowing the live gross bank quote to rise or fall based on the conditional expected terminal score.

Play the free demo

Game Mechanics and Scoring

The core mechanic involves twelve independent fair bits revealed sequentially. The live gross bank quote is calculated as:

Live gross bank quote = 0.96 × captured whole stake × conditional expected terminal raw score raised to selected power / unconditional mean for that power.

Exact unconditional means are:

  • Mode 0 (Raw): 34.505859375
  • Mode 1 (Squared): 2683.6201171875
  • Mode 2 (Cubed): 632014.74609375

The quote averages all remaining possible words at each prefix. If the conditional potential drops to zero, the round settles at zero gross. Fractional carry persists across settlement, refill, and reload.

Controls and Modes

The demo supports the following controls and modes:

  • Stake: One whole captured stake; no row shares.
  • Power Selection: Preselect raw-score power one, two, or three.
  • Auto Reveal Cap: Select automatic reveal cap of 4, 8, or 12.
  • Locking: Captured stake, power, and cap are locked during the live round. Sound remains available.
  • Manual Bank: Available immediately while live. No Auto10 queue.
  • Refill: Idle-only manual refill below 10 sets balance to 1000.

Stopping Rules and Auto-Bank

Each semantic reveal follows a 650ms delay. Manual bank settles the current conditional quote. The selected cap (4, 8, or 12) automatically banks the current quote. If zero future potential is reached, it settles zero earlier. No hidden future bit is exposed before its reveal. Actions use no information about hidden bits.

Wallet and Persistence

The demo uses a local virtual wallet. Key wallet facts:

  • Initial Balance: 1000.
  • Refill Threshold: Manual refill sets balance to exactly 1000 when below 10 and idle. This is not automatic replenishment.
  • Fractional Carry: Persists across settlement, refill, and reload.
  • Unfinished Reload: Ends without refund or resume. The captured debit is lost.
  • Settled Balance: Persists locally, including zero.

Mathematical Evidence

Simulation measurements support the mathematical payout law. The exact expected gross return is 96% under supported stopping policies. This is not a guarantee of net profit. Measured RTP varies slightly due to sample size.

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

Identity and Privacy

This demo belongs to this independent guide and does not certify or reproduce any outside product. The identity status is unverified except for individually reviewed primary-source facts. No operator catalogue, affiliation, or licence is established. Storage uses browser localStorage for settled demo balance and fractional carry. This does not establish anonymity. A Google Fonts stylesheet is declared in the template.

Frequently asked questions

What is the exact payout formula?

Live gross bank quote = 0.96 × captured whole stake × conditional expected terminal raw score raised to selected power / unconditional mean for that power. Exact means: [34.505859375, 2683.6201171875, 632014.74609375]. Expected gross under supported stopping policies is 96%.

How does the auto-bank work?

The selected cap (4, 8, or 12) automatically banks the current quote. Zero future potential settles zero earlier. No hidden future bit is exposed before its reveal. Each semantic reveal follows 650ms.

What happens if I reload during a round?

An unfinished reload ends without refund or resume. The captured debit is lost. Fractional carry persists, but the current round's progress is not resumable.

How does the wallet refill work?

Manual refill is available while idle. If the balance is below 10, it sets the balance to exactly 1000. It preserves fractional carry. This is not automatic replenishment.

What are the scoring modes?

Modes are: 0 (Raw score), 1 (Squared score), and 2 (Cubed score). Each mode has its own unconditional mean and is priced separately.

Is the 96% RTP guaranteed?

No. The expected gross under supported stopping policies is 96% before integer rounding. This is not a guarantee of net profit. Simulation measurements show slight variations.

Does the demo have an account login?

No. The demo has no account-login flow. It uses a local virtual wallet stored in browser localStorage.

Can I withdraw virtual coins?

Virtual coins have no cash value. The demo does not support withdrawal or payment flows.

What is the intended audience?

18+ is this guide's own intended audience policy, not a claim about local law or an implemented age gate.

Does the demo use third-party data tracking?

The template declares a Google Fonts stylesheet. Actual browser request capture is pending. This does not establish that other requests or processing are absent.

What is the difference between manual and auto bank?

Manual bank settles the current conditional quote immediately. Auto bank triggers at the selected cap (4, 8, or 12) or earlier if zero potential is reached.

Are the bits revealed fairly?

Yes. Twelve independent fair bits are revealed in order. All unrevealed completions are averaged exactly at each prefix.