I know that it is possible to write a text along a path.

I want to know is it possible to draw a shape along a path?

I know that this is impossible in most cases. but I think we can draw such shape for simple shapes like rectangle, circle, cube, ...e.g. suppose we have a circle inside a rectangle (distortion sample). by curving the edges of rectangle I want circle deformed proportionately. something like this:

enter image description here

  • This is what nonlinear transformations are good for. – user194703 Apr 2 at 15:27
  • This is a Tikz library? – C.F.G Apr 2 at 15:29
  • A pgf module. There is also curvilinear that allows you to transform something along a path. – user194703 Apr 2 at 15:30
  • 2
    Your profile image, the cat has a mask!! you are very up to date. – C.F.G Apr 2 at 15:32
  • Yes, I had to put it on because so many humans do not seem to understand what social distancing means.... – user194703 Apr 2 at 16:02

Here is one way to achieve something of that sort.

\pgfkeys{/pgf/fpu,/pgf/fpu/output format=fixed}%
\tikzset{declare function={xtransformed(\x,\y)=\pgfkeysvalueof{/tikz/trafos/a}*
\PgfmathsetmacroFPU{\myx}{\pgf@x+xtransformed(\pgf@x/1cm,\pgf@y/1cm)}%\typeout{(\the\pgf@x,\the\pgf@y)|->(\myx pt,\myy pt)}
\pgf@x=\myx pt%
\pgf@y=\myy pt%
\draw (-2,-2) rectangle (2,2);
\draw (0,0) circle [radius=pi/2];
\draw (-2,-2) rectangle (2,2);
\draw (0,0) circle [radius=pi/2];

enter image description here

There is also the curvilinear library, but I think if you want to use it you'd need to split the picture in two halfs.

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