Triangle Dial is this guide’s original browser demo. Its geometry and prices apply only here. No outside company, affiliation, licence, payment service or gambling permission is established.
Three pockets become sides one through thirteen
Draw three independent uniform pockets 0 through 12, with replacement. Add one to each pocket to obtain three side lengths 1 through 13. Sort these lengths a≤b≤c. If a+b≤c, the result is invalid; both equality and a smaller sum fail.
For a valid triangle compare a²+b² with c². Greater means acute, equal means right and less means obtuse. Choose exactly one category before spinning; a single captured stake covers all three draws. Category labels describe the resulting triangle, not a player classification after seeing it.
Exact ordered-triple category prices
All 2,197 ordered pocket triples are equally likely. Counts are 1,092 invalid,565 acute,18 right and 522 obtuse. Chances are those counts divided by 2,197. Order does not affect classification, but every ordered triple counts separately in the probabilities.
A matching ticket returns gross multiplier 0.96 divided by its exact chance; a different category returns zero. Every ticket has 96% expected gross return, not 96% win chance. The right ticket is rare and has a much larger winning multiplier. Gross return includes the original stake.
Examples use sides after adding one
Pockets 0,0,1 produce sides 1,1,2 and an invalid result because 1+1=2. Pockets 0,0,2 produce sides 1,1,3 and are also invalid. Pockets 2,3,4 produce sides 3,4,5, a right triangle.
Pockets 2,2,2 produce sides 3,3,3, acute. Pockets 1,2,3 produce sides 2,3,4, obtuse because 2²+3²
Free virtual balance and manual restoration
The initial balance is 1,000 free virtual coins, with no monetary value or prizes. Settled balance and fractional payout carry are stored in browser localStorage when available. Whole coins are credited and the remaining fraction is kept for later settlements.
Only while idle and below 10 whole coins can the refill button restore the balance to 1,000. It sets that balance rather than adding 1,000 and preserves fractional carry. Reloading does not automatically refill the wallet.
Separate search topics and an original triangle demo
Queries include “d 6666 apk” and “d 666 solo rpg review”. Those words do not establish a gaming operator, verified app publisher or identified tabletop product. This page supplies no APK, RPG rulebook or official commercial service.
Triangle Dial is this guide’s original browser demo. Its geometry and prices apply only here. No outside company, affiliation, licence, payment service or gambling permission is established.
Frequently asked questions
Do search words establish an operator?
Queries include “d 6666 apk” and “d 666 solo rpg review”. Those words do not establish a gaming operator, verified app publisher or identified tabletop product. This page supplies no APK, RPG rulebook or official commercial service. Triangle Dial is this guide’s original browser demo. Its geometry and prices apply only here. No outside company, affiliation, licence, payment service or gambling permission is established.
How are sides and categories calculated?
Draw three independent uniform pockets 0 through 12, with replacement. Add one to each pocket to obtain three side lengths 1 through 13. Sort these lengths a≤b≤c. If a+b≤c, the result is invalid; both equality and a smaller sum fail. For a valid triangle compare a²+b² with c². Greater means acute, equal means right and less means obtuse. Choose exactly one category before spinning; a single captured stake covers all three draws. Category labels describe the resulting triangle, not a player classification after seeing it.
What are the exact category probabilities?
All 2,197 ordered pocket triples are equally likely. Counts are 1,092 invalid,565 acute,18 right and 522 obtuse. Chances are those counts divided by 2,197. Order does not affect classification, but every ordered triple counts separately in the probabilities. A matching ticket returns gross multiplier 0.96 divided by its exact chance; a different category returns zero. Every ticket has 96% expected gross return, not 96% win chance. The right ticket is rare and has a much larger winning multiplier. Gross return includes the original stake.
Is1,1,2 a valid triangle?
Pockets 0,0,1 produce sides 1,1,2 and an invalid result because 1+1=2. Pockets 0,0,2 produce sides 1,1,3 and are also invalid. Pockets 2,3,4 produce sides 3,4,5, a right triangle. Pockets 2,2,2 produce sides 3,3,3, acute. Pockets 1,2,3 produce sides 2,3,4, obtuse because 2²+3²
Read the triangle rules and try the original free virtual-coin demo. Play the free demo