Well. This topic is surely interesting. Now, I wonder what Cirno's Intelligence is. ( What about engineering intelligence? )
While not really official, I'd say cirno's intelligence is the Spatial one. Through fan art, I've seen her creating complex ice structures very easily, and that would only be possible through the mind of an Architect. Spatial cogitation and mental imagery are components of this kind of intelligence, and most likely she can do that in canon as well.
On a serious note, there are some characters who seem pretty hard to classify. I'm wondering where Okuu and Orin fall. And Yoshika too.
I'd say Okuu is Logical-Mathematical intelligence, since she
supposedly knows how Nuclear Fusion works.
I have no idea about Orin, and while I don't know about yoshika neither... I could say she has very poor Bodily-Kinesthetic intelligence (Stiff limbs and no flexibility at all. Would not do a good athlete).
Rumia would have poor spatial intelligence since she has trouble to localize herself in the space (Bumping into trees and all).
(On a side note, I'd say that I fit mostly under logical and spatial intelligence)
If those are your most developed intelligences, I'd say you have a very scientific mind, since those are the two that involves logical thinking.
As for mine:
[High Level]-Linguistic Intelligence: I'm very good on it. I enjoy reading a lot, though I prefer active reading. I'm also very good at learning new languages and wordplay.
-Intra-Personal Intelligence: I'm a very introspective person and no one understands more about me than myself. I could even be able to spend a whole week only introspecting.
[Medium Level]-Logical-Mathematical Intelligence: Although mathematics or physics aren't my Forte, I'm still quite good at it.
-Existential Intelligence: I naturally don't philosophically think about life, existence or death that much. (Perhaps because I don't have enough life experience). But sometimes I come with really deep thoughts.
-Interpersonal Intelligence: I used to be bad at it, but now I'm getting much, much better. This comes to show how one can improve a certain intelligence over the years.
[Low Leve]-Bodily-Kinesthetic Intelligence: I suck at it. I'm not good on sports, I get tired really, really easily and have little strength. (sometimes I have trouble even to open a bottle of soda). But I'm going to try and overcome this weakness through the Gym.
-Spatial Intelligence: No sense of direction at all. I get lost easily and have trouble to picture a map on my head. I'd probably take forever to exit a maze, and I'm also bad with directions and would most likely have trouble to learn how to drive. (I can see myself crashing everywhere) Btw, I failed even to learn how to ride a bicycle, lol.
[?? Level]-Musical Intelligence: While I'm good at interpretating music, I never tried to compose any myself.
-Naturalist Intelligence: Dunno, never dealt with flowers. Maybe I'm good, or maybe I suck.
That's it, I'm not an absolute genius to excel on every single intelligence. Nobody is perfect. (Maybe except for my boyfriend that says I'm perfect).