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A question was posted and answered several years ago about the "Hyperbolic diameter of Amsler's surface". The answer points to a relevant paper and summarizes its results. But that summary of results makes brief, strong claims -- claims that are arguably too strong.

I have read the cited paper, and I would like to post a comment that gives further details about its results. I started to "add a comment" to the existing answer -- but comments are apparently limited in length. So I started to type in a new answer -- but I was warned that answers should answer the question, not talk about previous answers.

What should I do?

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    $\begingroup$ I would write a new answer and indicate that it is meant as a comment on another answer. $\endgroup$ May 11, 2016 at 3:20
  • $\begingroup$ Somewhat related: This is a comment, not an answer! $\endgroup$ May 11, 2016 at 3:30
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    $\begingroup$ Depends on the nature of your "comment", you can start your answer with a line stating this is a "comment" or "supplement" of the other answer with a very short paragraph summarizing what it is before presenting your own arguments. $\endgroup$ May 11, 2016 at 5:03
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    $\begingroup$ Comments are limited in length, but (continued) $\endgroup$ May 11, 2016 at 5:30
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    $\begingroup$ (continued) you can always start one, and (continued) $\endgroup$ May 11, 2016 at 5:30
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    $\begingroup$ (continued) when you run out of room, continue it in another. Mind you, I think the other suggestion of writing a new answer is better, I just thought I'd mention this option. $\endgroup$ May 11, 2016 at 5:31
  • $\begingroup$ One aspect (perhaps an advantage) of posting one or more Comments on the Answer is motivating (if necessary) the supplementary reasoning, and inviting a brief response. $\endgroup$
    – hardmath
    May 21, 2016 at 19:23

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