Hi and welcome,

Iso is right about the iso. There are two or three good free bits of software able to re-project a map into a different map projection. I cant remember what they are now tho but it has come up a few times.

A sphere onto cube is not too bad to do the math yourself but it does give a fair bit of distortion. Iso less then progressively less as you go to a more curved space. Have a search around for projections and also wikipedia has some good info on them all too.