Find a triangulation of the projective plane which uses the fewest possible simplices. Solution I AM GIVING YOU A RESPONSE FROM THE NET . SUPPOSE WE HAVE A COVERING MAP FROM ONE SPACE TO ANOTHER .IN PARTICULAR SINCE THE MAP [X , Y ] ..TO...[2X , 2Y ] IS A COVERING MAP FROM THE FLAT TORUS TO ITSELF , WE HAVE .. 4F[T^2] = F[T^2] WHICH PROVIDES AN ALTERNATE PROOF THAT ..F[T^2] = 0 IF YOU WANT MORE IN DETAIL PLEASE TRY POSTING THE QUESTION IN COMPUTER SCIENCE BOARD...