Some hidden structure in BKL.

The way spacetime behaves as one approaches a spacelike singularity is reinvestigated. We find a simple twistorial presentation that includes and simplifies the classic work of Belinskii, Khalatnikov and Lifshitz as well as the more recent results of Damour, Henneaux and Nicolai. We speculate on the application of our technique to the E10 programme of M-theory. [ABSTRACT FROM AUTHOR]