KKnotilus icon

Knotilus

knotil.us

Use ten numbers to build three rising four-number sequences, each term after the second being the sum of the prior two, with one knot number in all three.

Play Knotilus ↗
New puzzle
DailyReset time not published
Category
Math & Logic
Price
FreeNo account needed
Plays on
Web browserIn the browser, nothing to install
Site
knotil.us
Link checked
Nov 5, 2026

What Knotilus is

Ten numbers, three chains and one shared value make up Knotilus, an addition puzzle built on Fibonacci-style runs. From the day's pool you must form three increasing chains of four, where each term from the third on equals the two before it added together. The chains overlap in exactly one number, the knot, and every other number appears once.

How a round works

Tap four numbers to enter a run; it joins your list once the fourth goes in. Several valid runs hide in any puzzle (the rules put it at four to ten), but only one trio uses every number with the knot as the lone overlap. Pick three runs from your list to submit; the clock stops once the right three are chosen, and any valid runs you missed are then shown. Tapping a lock at the top left gives away one run of the answer. Easy mode adds visual guides that Hard takes away, and a level setting picks the size of the number pool. A sample board teaches the knot logic first, and an archive calendar holds earlier days.

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