This is exactly the method the article describes as the most common method (though the article uses the more specific “standard normal” rather than the more gen

This is exactly the method the article describes as the most common method (though the article uses the more specific “standard normal” rather than the more general “gaussian” when describing the distribution), and notes generalizes efficiently to higher dimensions unlike accept/reject, but, as the article notes, the accept/reject method is more efficient for n=3.