Ordered Euclidean Divisions
Two independent readings are uniformly drawn from 0 through 12. Add one to each and apply the Euclidean algorithm to the ordered pair (first+1, second+1), without swapping it. Count every division until the second value becomes zero, including an initial quotient of zero. That count is the score. Each of the 169 ordered pairs has probability 1/169. For readings (0,0), the input is (1,1): one division leaves remainder zero, so the score is 1. For readings (11,12), the ordered input is (12,13): 12=0×13+12, 13=1×12+1, 12=12×1+0. The score is 3, not 2.
Three Tickets and Gross Payouts
The lower ticket covers scores 1 and 2 with hit probability 92/169; the middle covers 3 and 4 with probability 70/169; the upper covers 5 and 6 with probability 7/169. Gross multipliers are respectively 162.24/92, 162.24/70 and 162.24/7, displayed as 1.763478×, 2.317714× and 23.177143×. The chosen ticket is fixed before one captured stake is charged. A matching score pays that stake times its multiplier; a miss pays zero.
RTP and Different Outcome Distributions
Every ticket has exact unrounded expected RTP 96%, because its hit probability multiplied by its gross return multiplier equals 0.96. This is an expectation, not a promise for a single draw or a session. The ticket probabilities are different even though each band covers two distinct score values. Rare upper-ticket hits pay more and have greater outcome variation. No pattern or signal raises the expected return; there is no intermediate collection policy. A 10-coin upper-ticket hit has unrounded gross return 231.771428571… coins. The wallet pays its whole-coin part together with any saved fractional carry; the remainder is retained.
Wallet and Round Boundaries
The fresh wallet starts at 1000 play coins. Settled balance and fractional payout carry persist locally. Whole coins are paid at settlement and the remaining fraction is saved for a later settlement. Reloading an unfinished round ends it without a refund of its charged stake. While idle with fewer than 10 coins, Restore balance sets the wallet to exactly 1000 rather than adding 1000. The saved carry remains. Stake, ticket and restoration controls lock during a round.
Unbiased Browser Sampling
Each reading uses a browser cryptographic unsigned 32-bit value. Rejection sampling discards values above the largest evenly divisible range for 13 outcomes and maps accepted values into equal buckets. The two readings are independent under this model. The wheel displays the observed readings and the resulting score; it is not a physical wheel, operator feed or prediction service.
Frequently asked questions
Is this a verified official Turbo6 operator site?
No. It is an independent query-information guide. No official operator identity, domain, app or licence is established here.
What game is playable here?
Euclid Clock Roulette, an original two-reading demo using the ordered Euclidean division count.
Can coins be withdrawn?
No. They are virtual counters without cash or prize value. There is no payment interface.
Is 96% return guaranteed for every draw?
No. Each ticket has exact unrounded expectation of 96%, while individual draws pay the gross ticket multiplier or zero.
Do both readings charge a stake?
No. One captured stake pays for the complete two-reading round.
Read the original Euclid Clock rules or try the virtual-coin demo.
