The classical 1884 fiction [Flatland][1] contains a dialog between the square and the sphere, where the former tries to convince the latter that if Spaceland exists, then there must also be a space of four dimensions and a being living there made of multiple spheres in one.

In the short story [And he built a crooked house][2] by Robert A. Heinlein, an architect builds a 3-dimensional house made of 8 cubic rooms arranged according to the template of the faces of a tesseract. During the visit of the house, an earthquake actually folds the rooms and the protagonists  end up trapped in what is now the surface of an hypercube.


  [1]: https://en.wikipedia.org/wiki/Flatland
  [2]: https://en.wikipedia.org/wiki/%22%E2%80%94And_He_Built_a_Crooked_House%E2%80%94%22