Daily Triplets

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Test triplets of digits, see which fit, and work out today's secret rule.

Every day: One numbered secret rule about three-digit triplets a day, the same for everyone, to find by testing and then write as an equation. New puzzle: Once a day.

Play Daily Triplets on dailytriplets.com

Daily Triplets

Daily Triplets #128: the triplet 1 2 3 marked as fitting today's rule, three empty digit boxes with a Test button and an I know the rule button

Daily Triplets hides a mathematical rule each day and shows you one triplet of digits that fits it. You test as many other triplets as you like, each marked as fitting or not, then write the rule as an equation. It is a daily take on Wason's 2-4-6 task.

About Daily Triplets

Daily Triplets is based on a classic psychology experiment, Wason's 2-4-6 task, in which people are shown a sequence that fits a rule and have to discover the rule by proposing more examples. Here the examples are three digits from 0 to 9, and each day has a new secret rule.

The board starts with one triplet that fits today's rule, such as 1 2 3. You enter any three digits and press Test: a tick means the rule accepts them, a cross means it does not. There is no limit on tests, and the list of results can be sorted to spot the pattern.

When you think you have it, press I know the rule and write it as an equation in the three digits. The game checks your answer against all 1,000 possible triplets, so any equivalent way of writing it counts, and if it is wrong it shows a triplet where your rule and the real one disagree. You have three attempts.

The trap the original experiment is known for is only testing examples you expect to fit. Testing triplets you expect to fail is what tells you where the rule's edges are. Puzzles are numbered, a calendar lets you play earlier days, and a streak tracks your daily run.

How to play Daily Triplets

  1. Read the triplet that fits today's rule.
  2. Enter three digits and press Test to see if they fit (tick) or not (cross).
  3. Keep testing until you can describe the rule.
  4. Press I know the rule and write it as an equation in the three digits.
  5. You have three attempts; a wrong one shows a counterexample.

Tips

  • Test triplets you expect to be rejected: they tell you more than ones you expect to fit.
  • Change one digit at a time to see which position matters.
  • Try zeros, repeated digits and descending orders early, since many rules break on them.

Questions

What is the 2-4-6 task?

A psychology experiment by Peter Wason in which people guess a rule from the example 2, 4, 6 by proposing more sequences. Daily Triplets is inspired by it.

How many tests can I make?

As many as you like. Only your answers at the rule are limited, to three.

Can I play earlier puzzles?

Yes, a calendar opens past days.

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