Independent guide and original demo
This independent S667 query guide supplies its own free Loop Circuit Mines demo. The query can refer to technical products; an established casino business is not authenticated here. No operator identity, domains, licence, apps, payments, support or commercial game equivalence have been verified. No operator account or commercial link is supplied.
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A matching brand, professional design, search result or HTTPS connection does not verify ownership, authorisation or safety. Match any claim against an independent regulator register, including entity, current status, scope and listed domains. No operator licence or service is endorsed here.
No verified commercial catalogue
No external S667 commercial catalogue, providers, casino identity or game equivalence is authenticated. Loop Circuit is this guide’s original connected unicyclic Mines game. Its mathematics does not establish an outside business, licence, hardware endorsement or game fairness.
Connected hazards with exactly one cycle
Choose 4, 5 or 6 hazards on a 4×4 board. Shared horizontal or vertical edges connect all hazards into one graph with exactly one independent cycle. There are respectively 9, 48 or 144 equally likely legal layouts, and one stays fixed throughout the round. At 4 hazards the only legal shapes are the nine filled 2×2 squares.
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Frequently asked questions
Is this an operator website?
This independent S667 query guide supplies its own free Loop Circuit Mines demo. The query can refer to technical products; an established casino business is not authenticated here. No operator identity, domains, licence, apps, payments, support or commercial game equivalence have been verified. No operator account or commercial link is supplied.
What is the single-cycle rule?
Choose 4, 5 or 6 hazards on a 4×4 board. Shared horizontal or vertical edges connect all hazards into one graph with exactly one independent cycle. There are respectively 9, 48 or 144 equally likely legal layouts, and one stays fixed throughout the round. At 4 hazards the only legal shapes are the nine filled 2×2 squares.
How is value calculated?
Live value starts at 0.97 times the virtual stake. A safe reveal divides it by that cell’s exact conditional safe probability among the remaining compatible legal layouts. A hazard ends the round with zero return. Reveals change knowledge, not the hidden layout.
Do first-cell coordinates affect odds?
With 4 hazards, a corner is initially safe in 8 of 9 layouts, an edge cell away from a corner in 7 of 9, and a central cell in 5 of 9. From a 20-coin stake, a safe corner gives 20×0.97/(8/9)=21.825 coins; a safe centre gives 34.92 coins. Observations update compatible layouts, so later probabilities can rise or fall. Initial odds are coordinate-specific rather than uniformly 12/16.
Explore the original free Loop Circuit Mines demo.
