Plot marks filled and drawn, but not the path

Question

Is it possible to have it so that the plot marks would be filled and drawn, but the actual path wouldn't be drawn?

Here is example where it is otherwise the way I'd like, except those dots' should be filled with white:

\input tikz
\usetikzlibrary{shapes.geometric,plotmarks,scopes}
\tikzpicture[bend right, out=60, in=120, max distance=1.5cm]
  \foreach \x in {1,...,8} {
    \coordinate (n\x) at (\x,0);
  }
  \draw (n1) to (n3) to (n5) to (n7) to (n1);
  \draw (n8) to (n6) to (n4) to (n2) to (n8);
  \path plot[fill=white,draw=black,mark=*]
    coordinates{(1,0) (2,0) (3,0) (4,0) (5,0) (6,0) (7,0) (8,0)};
\endtikzpicture

And here the dots are the way I would like, but the path is (of course) drawn:

\input tikz
\usetikzlibrary{shapes.geometric,plotmarks,scopes}
\tikzpicture[bend right, out=60, in=120, max distance=1.5cm]
  \foreach \x in {1,...,8} {
    \coordinate (n\x) at (\x,0);
  }
  \draw (n1) to (n3) to (n5) to (n7) to (n1);
  \draw (n8) to (n6) to (n4) to (n2) to (n8);
  \filldraw[fill=white,draw=black] plot[mark=*]
    coordinates{(1,0) (2,0) (3,0) (4,0) (5,0) (6,0) (7,0) (8,0)};
\endtikzpicture

Is there a way to combine the two so that the dots look like in the latter, and the paths like in the former?

Answer 1

You have to supply the fill only to the markers. You can do that using mark options={fill=white}:

\documentclass{article}
\usepackage{pgfplots}
\usetikzlibrary{shapes.geometric,plotmarks,scopes}

\begin{document}

\begin{tikzpicture}[bend right, out=60, in=120, max distance=1.5cm]
  \foreach \x in {1,...,8} {
    \coordinate (n\x) at (\x,0);
  }
  \draw (n1) to (n3) to (n5) to (n7) to (n1);
  \draw (n8) to (n6) to (n4) to (n2) to (n8);
  \path plot[mark=*, mark options={fill=white}]
    coordinates{(1,0) (2,0) (3,0) (4,0) (5,0) (6,0) (7,0) (8,0)};
\end{tikzpicture}

\end{document}