No authenticated commercial catalogue
Kirkira is the query label of this independent guide. No external gaming business, catalogue, providers, licence, app, payment service or commercial equivalence is authenticated. Ring Neighbours is this site’s original constrained Mines game; its mathematics does not verify an outside service.
Paired hazards along a closed perimeter ring
Choose 3, 4 or 5 hazards on a 4×4 board. Read the twelve perimeter cells as a closed ring in clockwise order; for each perimeter hazard exactly one of its two adjacent ring cells must also be a hazard. Ring corners join consecutive boundary cells. Interior hazards have no extra constraint. Non-hazard perimeter cells have no neighbour requirement. There are 52/115/216 equally likely legal layouts respectively, fixed through a round.
Initial and updated safe probabilities
At 3 hazards, each perimeter cell is safe in 44 of 52 legal layouts and each interior cell in 37 of 52. A safe perimeter reveal from stake20 returns live value20×0.97/(44/52), about22.927coins; an interior reveal gives about27.265coins. These are starting values, not guaranteed results. Later compatible-layout probabilities can rise or fall.
Exact conditional value
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.
Collect and eligible choices
Collect is available after a safe reveal. Proven hazards are unavailable; proven-safe cells have probability 1 and add no value. A choice with next value above 1000 times stake is unavailable. When no eligible uncertain choice remains, the current value is banked automatically. The guard is not a promise that 1000×stake can be reached.
Persisted wallet and manual refill
Settled balance and fractional payout carry persist in localStorage. Reloading during a round ends it without refunding its already deducted stake. Outside a round, refill restores 1000 coins when balance is below the smallest stake; it does not add 1000 or reset fractional carry. Hazard count, stake and refill are locked during play.
Frequently asked questions
Is this an operator website?
This independent Kirkira guide supplies its own free Ring Neighbours Mines demo. Operator identity, domains, licence, apps, payments, support and commercial game equivalence have not been independently verified. No operator account or commercial link is supplied here.
What is the perimeter neighbour rule?
Choose 3, 4 or 5 hazards on a 4×4 board. Read the twelve perimeter cells as a closed ring in clockwise order; for each perimeter hazard exactly one of its two adjacent ring cells must also be a hazard. Ring corners join consecutive boundary cells. Interior hazards have no extra constraint. Non-hazard perimeter cells have no neighbour requirement. There are 52/115/216 equally likely legal layouts respectively, fixed through a round.
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.
How do odds change after a reveal?
At 3 hazards, each perimeter cell is safe in 44 of 52 legal layouts and each interior cell in 37 of 52. A safe perimeter reveal from stake20 returns live value20×0.97/(44/52), about22.927coins; an interior reveal gives about27.265coins. These are starting values, not guaranteed results. Later compatible-layout probabilities can rise or fall.
Explore the original free Ring Neighbours Mines demo.
