two-coloured strand with the knots library in tikz

Question

I'm trying to draw a single link diagram (like the one here: https://loopspace.mathforge.org/HowDidIDoThat/TeX/Knots/#section.5) using the knots library:

\begin{tikzpicture}
\begin{knot}[
  flip crossing=2
]
\strand (1,0) circle[radius=2cm];
\strand[blue] (-1,0) circle[radius=2cm];
\end{knot}
\end{tikzpicture}

However, I'd like one of my circles to have two colours. The idea is that the link represents the closure of a three-strand braid, and one of the circles in the link comes from two of the strands, so I thought it would be nice to colour it to show that.

Initially, I was thinking of something like this: How to draw a double-color line with tikz . However, when I changed my \strand[blue] to \strand[draw=blue,dash pattern= on 3pt off 5pt,thick,postaction={draw,red,dash pattern= on 3pt off 5pt,dash phase=4pt,thick}](-1,0) circle[radius=2cm];, the crossing gaps no longer show up:

I also tried an alternative approach using a gradient from this question Path following color gradient in TikZ, but, again, the crossing gaps vanished.

I'm assuming the knot library is somehow not applying the gap rule to the postaction / decoration? Is there an appropriate way to draw a two-coloured strand using the knots library?

Answer 1

\documentclass[tikz, border=1cm]{standalone}
\usetikzlibrary{knots}
\begin{document}
\begin{tikzpicture}
\begin{knot}[
flip crossing=2,
clip width=10,
]
\strand[red, thick] (1,0) circle[radius=1.3cm];
\strand[
blue, thick,
only when rendering/.style={dash pattern=on 3pt off 5pt},
preaction={draw, red, thick, dash pattern=on 3pt off 5pt, dash phase=4pt},
](-0.5,0) circle[radius=1.3cm];
\end{knot}
\end{tikzpicture}
\end{document}