The unusual collaborative scheme was designed by Bath-based WBF, and Barton Willmore provided the private client with advice on how to achieve zero-carbon rating.
The building will also have a sedum-clad roof and will be constructed from sustainable timber and concrete formed from ash waste from power stations. It will also contain a swimming pool and cinema on the lower level which is to be sunk below ground.
The upper levels of living and bedroom accommodation will be screened from the nearby M5 and partially from the A38 by landscaped bunding, hedging and newly planted indigenous trees.
Mark Watson of WBF said: 'The new house will be a highly innovative, striking and a fun building to live in. it will be a milestone in both sustainability and design.'