Talk:Cinquefoil knot

completing

could its equation be given, as it is done for the trefoil ? https://en.wikipedia.org/wiki/Trefoil_knot

also, there could be a page about the quatrefoil knot.

Or maybe all these could be gathered as a general (m,n)-torus page ? equation ( (2+cos(nt)).cos(mt), (2+cos(nt)).sin(mt), sin(nt) )

-- Preceding unsigned comment added by Fabrice.Neyret (talk o contribs) 09:14, 11 November 2023 (UTC)[reply]

A "quatrefoil knot" would be a link, not a knot... AnonMoos (talk) 23:22, 11 November 2023 (UTC)[reply]

A how is this not a knot ? -> https://images1.sw-cdn.net/product/picture/710x528_213116_285720_1687484118_1_0.jpg -- Preceding unsigned comment added by Fabrice.Neyret (talk o contribs) 09:17, 12 November 2023 (UTC)[reply]

That's a non-alternating knot with 8 crossings, while a true intermediate between the trefoil and cinquefoil knots would have four alternating crossings. There's only one knot with four crossings, and that's the Figure-eight knot which cannot be presented in a form with four crossings and four-fold visual symmetry (though it can be presented in a form with two-fold symmetry). The only thing with four crossings and four-fold visual symmetry is the Solomon's knot (actually a link). AnonMoos (talk) 02:13, 13 November 2023 (UTC)[reply]