Independent query guide · virtual-coin demo

Terms of the Independent Demo

The official website of z63.

The official website of z63. This page sets out the terms for the independent browser demo of Inverse Tape. The demo belongs to this guide and does not certify or reproduce any outside product. No operator identity, licence, payment service, or verified app is established by this query.

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The game uses eight independent uniform symbols from the set {A, a, B, b}. Adjacent inverse pairs (A/a and B/b) cancel using a stack-based reduction. Equal adjacent letters do not cancel. The score is the final reduced length. One whole captured stake covers the complete configuration.

Game Rules and Modes

Each round generates a word of length eight from the four symbols. The reduction process uses a stack: when the top of the stack forms an inverse pair with the incoming symbol, both are removed; otherwise, the symbol is pushed. The score is the length of the remaining stack.

  • Mode 1 (Linear): Score equals the raw reduced length.
  • Mode 2 (Squared): Score equals the raw reduced length squared.
  • Mode 3 (Cubed): Score equals the raw reduced length cubed.

Each mode is separately normalized over all 65,536 equally likely words to a 96% expected gross return. The power applied does not alter which words score zero. For example, a word with ordered symbols [0,0,0,0,0,0,0,0] or [3,3,3,3,3,3,3,3] yields a raw score of 8, while [0,1,2,3,0,1,2,3] yields 0.

Payout and Mathematics

The gross payout is calculated as: Gross = 0.96 × captured whole stake × raw^(selected mode + 1) / mean[selected mode].

Mode (Power)Exact Mean
14.7080078125
226.3173828125
3161.53125

The expected gross return is 96%. This is not a guaranteed net profit for any session. Simulation measurements (e.g., 96.04% for Mode 1 over 1,000,000 rounds) are supporting sample observations, not the mathematical payout law.

Controls and Auto Play

Auto10: Queues at most ten captured draws. Stop: Cancels future draws while the current one settles. No early bank is available.

Settings (stake, mode) and refill are locked until settlement and the queue finish. With normal motion the animation settles after about 480ms; reduced-motion mode settles on its first animation frame. Sound remains available throughout. Reload ends an unfinished draw without refund or resume.

Wallet and Persistence

The demo uses a local virtual wallet. Initial balance: 1,000 coins. Restoration: Manual idle-only restoration sets the balance to exactly 1,000 when idle and the balance is below 10. This is not automatic replenishment. Fractional carry: Persists across settlement, refill and reload. Settled balance: Persists locally, including zero. Busy controls: Stake, mode and refill are locked while active and through any auto queue.

Privacy and Storage

Storage: Source uses browser localStorage for settled demo balance and fractional carry. This does not establish anonymity or exclude other processing. Clearing cached files may leave local storage.

Third Parties: The template declares a Google Fonts stylesheet. Actual browser request capture is pending. Account/Payment: Demo account flow is none. Demo payment flow is none. Virtual coins have no cash value.

18+ Audience and Responsible Use

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

Responsible Use: Describes optional pauses, a personal time/virtual-coin limit and finding appropriate local qualified help. Does not claim the demo clinically trains behaviour or makes losses safe. No account-level blocking, timer or self-exclusion tools are implemented.

Frequently asked questions

Does this demo represent an official casino operator?

No. This is an independent guide demo. The queried name does not establish an official company, account address, app or service. No operator catalogue, affiliation, licence or payment method is confirmed.

How does the wallet restoration work?

Restoration is manual and idle-only. It sets the balance to exactly 1,000 when idle and the balance is below 10. It preserves fractional carry. It is not an automatic replenishment or a cash withdrawal.

What happens if I reload during a draw?

Reload ends an unfinished draw without refund or resume. The balance persists, but the unfinished round is lost. Fractional carry is preserved.