irrational MÖBIUS
The torus knot T(3,7), c=14 — outside the KnotInfo range, but a well-known mathematical object. Drawn as a Möbius loop — three modules of square tube, the profile arriving back with a quarter turn: one edge, one surface. On the computed centerline the untwisted frame also closes nearest to a quarter turn (holonomy +111°). As the knot of the curve x³ = y⁷, T(3,7) carries its own Rogers–Ramanujan-type identity — a sum over six variables equal to an infinite product with period 10 — one of the family conjectured by Huang, Jiang and Oblomkov for every torus knot and proved by Huang, Lau and Ono (2026).
Dimensions: 330 × 316 × 334 cm · Weight approx. 450 kg
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See its Seifert surface in 3D →An orientable surface whose boundary is this knot. Built from the braid word: one disc per strand, one half-twisted band per letter. That its boundary is this very knot — and not its mirror, and not the unknot — was checked against the record: determinant, signature and Alexander polynomial.