Lost In Spatial: Puzzle Dimension

This morning's RPS inbox contained a missive from from Doctor Entertainment, founded by Jesper Rudberg and the splendidly named Anders Pistol, who mentioned that their new game, Puzzle Dimension, was available on Steam. To be honest, I kind of ignored it because there's no demo, but I just had a look at the trailer (below), and it's intriguing. Reminds me of an old Amiga puzzler I can't quite recollect the name of... Has anyone picked it up? Any thoughts?