6

A word that describes something impossible or near impossible to do but fun to try. One example I can think of is trying to lick one's elbow. A contortionist can do it but not everyone else. We sure give it a try despite knowing we can't do it.

  • Does it have to be fun to try? Sometimes there are painful things that people attempt to achieve like find 'happiness' :D I am thinking of the term 'sisyphus-ical' to describe the act of doing something impossibly frustrating, or just futile but it doesn't really indicate the level of fun involved. – Michael Lai May 26 '16 at 6:00
2

Perhaps the word is not specific enough, but I'd simply suggest challenging.

Something challenging is demanding, so perhaps it doesn't quite stretch to being "near impossible", however a challenge suggests something which is "fun to try". I suppose it depends whether you are looking for an obscure or common word. HTH

  • Yes, a "fun challenge" is what I'd say. – Max Williams May 26 '16 at 11:37
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    Please explain why challenging is the word you'd suggest. – Matt E. Эллен May 26 '16 at 12:04
  • oh, did I get downvoted for not explaining my suggestion? – Gonja May 26 '16 at 12:16
  • Welcome to English Language & Usage. This answer was flagged as low-quality because of its length and content. As Matt suggested, please try to elaborate on why you think challenging works. Otherwise, your answer could be deleted by voting. – user140086 May 26 '16 at 13:45
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    I've provided some clarification - hope that's more suitable - apologies, I'm new to the forum, I was just trying to help! – Gonja May 26 '16 at 14:06
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You can use Conundrum or Enigma to refer to difficult but interesting problems.

As per google-

conundrum- confusing and difficult problem or question.

a question asked for amusement, typically one with a pun in its answer; a riddle.

-2

Your endeavors are futile. Such a word simply does not exist.

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