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"I forged a concept which is relatively simple and possibly unique in theology, and that is, the irrational is the primordial stratum of the universe."
- Philip K. Dick

Tesseract House  
  A house built in the shape of a four-dimensional figure.  

Quintus Teal, California architect, liked to push the envelope. In this case, the envelope was the comfortably three-dimensional floor plan of the average house.

Under Teal's impassioned heckling the tesseract house was built in days rather than weeks, and its cross shapped second story came jutting out at the four corners of the world...

[Then, after driving up with clients to look at the finished house - after a small California earthquake...]

Teal turned from their faces to the house. Gone was the crazy tower with its jutting second-story rooms. No trace remained of the seven rooms above ground floor level. Nothing remained by the single room that rested on the foundation...

"Let's go on up..." He touched another button; a mate, in deeper colors, to the fairy bridge that had let them up from below offered them access to the next floor. They climbed it... and found themselves in the master bedroom. Its shades were drawn, as had been those on the level below, but the mellow lighting came on automatically. Teal at once activated the switch which controlled still another flight of stairs, and they hurried up into the top-floor study.

...They climbed a fourth flight of stairs, but when the cover at the top lifted to let them reach the level above, they found themselves, not on the roof, but standing in the ground-floor room where they had entered the house.

From -And He Built A Crooked House, by Robert Heinlein.
Published by Street and Smith in 1940
Additional resources -

From the original publication of this story, here is the scene in which the residents look out the window... to see themselves looking out the window.

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Additional resources:
  More Ideas and Technology from -And He Built A Crooked House
  More Ideas and Technology by Robert Heinlein
  Tech news articles related to -And He Built A Crooked House
  Tech news articles related to works by Robert Heinlein

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