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Takumi Nishijou's place of living, "The base", is a shipping container supposedly placed on the roof of his father's company building, KURENAI Conference Hall, in Shinsen, Shibuya. Takumi started living there approximately a year and a half before ChäoS;HEAd takes place, spending a big chunk of his everyday life in there. During the events of ChäoS;HEAd, he leaves it more often because of the New Gen murders and the girls he encounters and starts interacting with.
Takumi has at least three Seira figures lining up on his shelf in his base and owns various anime figures referencing other characters from real-life franchises, such as Arcueid Brunestud, Rin Tohsaka, Saber, and Rider from the Nasuverse franchise. Some other anime figures seem to somewhat resemble or at least be inspired by other characters, like Ichigo Momomiya from the Tokyo Mew Mew franchise and Yotsuba Koiwai from the Yotsuba&! franchise[1]. One of the figures also references the character Ignis from Jingai Makyō, another visual novel developed by Nitroplus, one of the developers behind the ChäoS;HEAd games.
Despite that practically every location shown in ChäoS;HEAd exists in real life, the specific building Takumi's container is on top of interestingly does not.
This could suggest that it either has been realbooted or that it only has been built in the world of the wider Science Adventure Series.