This house has not been built yet but the computer-generated images are pretty awesome.  Imagine a house that can transform into eight different shapes depending on the season, on meteorological occurences, and even astronomical conditions  The concept of the house was invented by British architects David Grunberg and Daniel Woolfson that they describe as 'a product of an applied mathematical realisation'.

The incredible house is the brainchild of British architects David Grunberg and Daniel Woolfson, who launched the D*Haus company to develop the concept.

The shape-shifting home was first  conceived as part of Mr Grunberg's graduation project, for which he  designed a house that could withstand the extreme sub-Arctic  temperatures in Lap Land, a region infamous for its harsh weather.
The pair's design, which they call D*Dynamic, is based on the work of English author and mathematician Henry Dudeney, a leading puzzle creator.

In 1903 Dudeney invented a way to cut an equilateral triangle into four pieces that could be rearranged into a square, a conundrum he dubbed the 'Haberdasher's Puzzle'.

The D*Dynamic house realises this mathematical curiousity as a solution to living in extreme climates. Sections would fold out on rails so interior partitions could become exterior walls in warm weather.

 The whole building could even rotate to follow the direction of the Sun throughout the day.

There is also a video showing the concept of how these architects see this house changing its shape.