5 problems

A knot has a Lissajous projection if its projection to the $x$-$y$ plane arises from a second-order Lissajous parametrization, with coordinates of the form … for integer frequencie…

A second-order Lissajous knot is a knot $K$ represented parametrically by … … where $n_1,n_2,n_3,n_4$ are integer frequencies, $\phi_1,\phi_2,\phi_3,\phi_4$ are real phase shifts,…

A Turks head knot is, for example, the closure of the 3-string braid … A Lissajous knot is a knot represented by the standard Lissajous parametrization associated with billiard kno…

A knot is strongly positive amphichiral if it is equivalent to its mirror image by an orientation-preserving involution reversing the knot orientation, and a Lissajous knot admits…

Lissajous–Fourier knot conjecture. Any knot in $\mathbb{R}^3$ is isotopic to a Fourier knot of type $(1,1,2)$.