Cryptic Stuff

[not_for_sale]

While it was done some years ago I see, I thought I would try a cryptic crossword-like thread for fun and to try and boost a little more interest here. I made up the below question for anyone interested in such a challenge. I thought the first person to get it correct might come up with the next question. A clue though - if you copy one from a newspaper or magazine etc., the answer can often be found on the internet. I can explain the answer for anyone who asks. 🙂

The prisoner at the cave would not stand for the electrically charged droplets of water.

(12 letters)

[the_great_she_elephant]

Thanks.

Clue:  Not a puzzle, just the more unusual statement of a mathematical principal.

1 word 7 letters.

[countessalmirena]

Paradox?

[the_great_she_elephant]

No, sorry Countess. 

Clue: think triangles

[countessalmirena]

Polygon…? As in, it’s no puzzle where the Polly has gone?

[the_great_she_elephant]

No sorry. 

Clue:  - - -o - - -

[domino-710]

Theorem.??

[the_great_she_elephant]

You have it, Domino.

 unusual = indicator of anagram

the more = anagram of theorem

theorem = a statement of a mathematical principle. 

[domino-710]

Thank you She-Ele.

Here's trying.

Clue :

Enter the single son of the Franks, insinuate yourself.

10 letters.

[twyngwyn]

I think we need a hint, dom

[countessalmirena]

My mind is firmly in Merovingian territory... If this isn't about Merovech or Charles Martel or Charlemagne, I definitely need a domino hint.