The intro to the show provides close-ups of the main characters, who are mostly female, and focuses particularly on the breasts and buttocks of the girls. They are all clothed appropriately, but it is an obvious nod to the sexuality of their bodies.
In one episode, a character asks one of the mental models to open up her middle so they can view the damage on a weapon system inside of the ship. The mental model (in the form of a young girl) raises her shirt to reveal her stomach, and the ship opens accordingly.
After being defeated by the protagonist (a male captain), one of the antagonists (female) determines the reason she lost was because she didn't have a captain. It later becomes a plot point that she fantasizes about having a captain, and she pursues the protagonist who defeated her, wanting to claim him for herself. While blushing, she states that he could use her more effectively than she can, which implies the possibility of a physical relationship between herself and a captain.
Although the ratio of female-to-male characters might lead to the conclusion that this is a "harem" show, the characters in the show never have more than a suggestively romantic relationship, and are normally friendly and/or professional with one another. One of the mental models describes the purpose of the models' assuming female forms as merely logical; she explains that humanity has always addressed ships as female, and the mental models took on a female form to accommodate this familiarity.
There is no nudity in any scene.