Project Daedalus was a study from the British planetary society in 1973 to design a plausible interstellar unmanned spacecraft. The design had to use current or near-future technology and reach its destination within a human lifespan (50-60 years), however the probe was to be unmanned.
The target then choosen was Barnards star at 6 lightyears because it was then believed that it had at least one large planet, until this day this planet has not been found while we know at least 300 other so called exo-planets. The closest star we know today that has planets is Epsilon Eridani, at 10.5 lightyears away a sure target for future exploration.
The original plan called for an orbital assembly of the spaceship, but at an whopping 55000 tons this is quite an starship, for example you would need almost 2000 Spaceshuttle launches to lift al the materials and fuel from earth, to make matters worse, the main component of the fuel would be Helium-3, something of wich we have very little on Earth. The moon has more and there is even more to be found in the atmosphere of Jupiter.
The two stages will be build in orbit around the moon, an small amount of helium-3 will be used to launch the first and the second stage towards Jupiter where an extensive mining-operation in the atmosphere of Jupiter will provide for the necessary 50.000 tons of helium-3 for the trip towards Epsilon Eridani.
About the picture:
Ooohh shudder, it has been done with Bryce, yup, Bryce is cheap and in the right hands you can still make stunning pieces of art with it.
The model in this picture has been modelled completely within Bryce, usually downloaded models don't fit right in the scene so i am better of making those myself, wich also adds to your own flavour.