Final answer:
The question is about themes of perception, self-realization, and transformation in a literary work, which is typical of high school English literature studies.
Step-by-step explanation:
The question presented appears to be centered around the theme of perception and self-realization within a literary context, which falls under the subject of English. The query might be related to a character's introspective journey in a novel, short story, or a similar piece of literature typically studied at the High School level. The passages provided hint at characters undergoing some form of transformation or are in contemplation of their existence, which suggests themes and discussions relevant to English literature.
Characters like Hexagaon, who is mentioned in the student's question, seem to engage in deep reflection about themselves and their surroundings. For instance, in the passage, a character is described as living 'intensely, vividly, profoundly, in the idea,' which indicates a focus on internal thoughts rather than the external environment, a common theme in literature. In each excerpt provided, the central figure is grappling with their thoughts, emotions, and experiences in what can be perceived as a transformative process, highlighting the complexities of the characters' psychological states.