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One loop. Endless knots.

This mark re-ties itself into a brand-new knot on every beat — and it will never draw the same one twice.

It looks knotted, but it never really is

However tangled it gets, the line is always the unknot: one continuous loop with no true knot in it. That's guaranteed by math, not luck — the crossings follow a height with exactly one high point and one low point (bridge number 1), and the only knot that can have is the trivial one. Tug it and it always falls open into a plain circle.

Why it never repeats

Each knot is built from 28 independent random numbers (7 harmonics × 4 values each). Even if we counted only ~20 visibly different settings per number, that already gives

20²⁸ ≈ 3 × 10³⁶ distinct knots

One new knot every second, and you'd need on the order of 10²⁹ years to exhaust them — more than a billion-billion times the age of the universe. And since those numbers are truly continuous, it never exactly repeats.

Sources & further reading

• The unknot — Wikipedia
• Bridge number — Wikipedia
• Cantarella, Chapman, Mastin — “Knot probabilities in random diagrams” (2016)
• Even-Zohar, Hass, Linial, Nowik — “Invariants of random knots” (Petaluma model)
• Koseleff & Pecker — “Chebyshev knots” (2011)
• Lissajous knots — Wikipedia