I know that automorphism works by mapping an element over a some ring to another different or same element over the same ring.

How can we graphically understand automorphism?

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    $\begingroup$ I like to think automorphisms as shuffling the elements of my ring, that is, "switching ther names" around, in a way that it still remains the same ring. This is a heuristic of course, I would never write that down in a work. $\endgroup$ – I.Padilla Apr 6 at 2:36
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    $\begingroup$ By far the best book on this is Visual group theory by Nathan Carter. Check that. $\endgroup$ – David G. Stork Apr 6 at 2:38

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