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I am hoping to recreate the image you see below in tex (the original here was done in Word). After snooping around for some time, I see that this should be done using the Tikz package. However, I don't have any experience with this package and am trying to prepare this for a lecture relatively soon (poor planning on my part). Can anyone help recreate this image? enter image description here

Thank you! Any and all help is much appreciated!

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The shadow stuff is a Word habit. I recommend you to reconsider that habit because it doesn't mean anything plus it gives the idea that these things are floating which is obviously not the case.

\documentclass[tikz]{standalone}
\begin{document}
\begin{tikzpicture}
\draw[thick] (-1,0) -- (1,0) (0,-1) -- (0,1);
\draw[rotate around={45:(-0.5,0.5)},double=red,ultra thin,double distance=0.5pt] (-0.5,0.5) ellipse (0.2 and 0.5) ellipse (0.4 and 0.8);
\draw[rotate around={45:(0.5,-0.5)},double=blue,ultra thin,double distance=0.5pt] (0.5,-0.5) ellipse (0.2 and 0.5) ellipse (0.4 and 0.8);
\end{tikzpicture}
\end{document}

enter image description here

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