House with two rooms or Bing's house is a particular contractible, 2dimensional simplicial complex that is not collapsible. The name was given by R. H. Bing.^{[1]}
The house is made of 2dimensional panels, and has two rooms. The upper room may be entered from the bottom face, while the lower room may be entered from the upper face. There are two small panels attached to the tunnels between the rooms, which make this simplicial complex contractible.
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A Homotopy Problem
Transcription
See also
External links
 Bing's house with two rooms at Info Shako
 A 3D model of Bing's house  the model can be visualized by using anaglyph glasses.
References
 ^ Bing, R. H., Some Aspects of the Topology of 3Manifolds Related to the Poincaré Conjecture, Lectures on Modern Mathematics, Volume 2, 1964