Knotilus

About Knotilus

Knotilus is a browser puzzle built on the Fibonacci idea: a sequence where each number is the sum of the previous two, such as 1, 44, 45, 89. Each day the game gives you a pool of numbers, and on any day between four and ten such sequences can be made from them.

You enter sequences by tapping four numbers in increasing order; the game accepts the sequence once the fourth number is chosen if it really is Fibonacci-like. The real goal is to find the three sequences that solve the puzzle: one number, the knot, appears in all three, and every other number of the nine remaining is used exactly once. Uncovering all possible sequences first is a valid route, and earns a completionist note when you share.

You can pick a level and a mode before playing, including a hard mode, and lock icons give hints that reveal one of the solution sequences. A timer, streaks and statistics are kept in your browser, there is an archive of earlier days, and the game compares your result with benchmarks from other players.

It suits players who like arithmetic logic more than speed: the sums are easy, but spotting which three sequences tie together takes careful elimination.

How to play Knotilus

1. Open Knotilus, choose a level and mode, and start today's puzzle.
2. Tap four numbers in increasing order where each is the sum of the two before it.
3. Keep entering sequences to uncover the possibilities.
4. Find the three sequences that share one knot number and use the other nine numbers once each.
5. Use a lock hint if stuck to reveal one of the solution sequences.

Tips

• Start from the largest numbers: the last term must equal the sum of the two before it.
• The knot appears in all three solution sequences, so look for a number that fits several sequences.
• Once two solution sequences are fixed, the leftover numbers usually point straight to the third.

Questions