Making Quadrant Lines Hidden or Invisible:

Hello:

I have been searching on the Net via Google for information on how to hide or make invisible the lines in a defined quadrant. My animation\ movie is working fine but from a visual, design point of view, having visible, colored lines of any color makes the appearance look awful.
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Is it possible to hide lines while retaining their function**?

Thank-you for any help in advance.

Matty