I need a web site, where there are links with the names of openings and they and their variations are illustrated graphically rather than as a chess notation like here
move by move.
Does this exist ?
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Chess.com is a great website to train and learn openings. I believe that the answer to your question is this website: https://www.chess.com/openings/
You may find detailed images like this helpful, too. I have a few more examples on https://named-openings-galore.com/.