I took 264 deaths, the most in any room of the game, to do it. Vermillion follows the blue but he maintains a particular distance from the blue one. Hence, go to the right edge of floor and turn upside down, then jump to the left edge of 1st moving tile, such that the Vermillion don't leaves the floor. Then move to the right edge of the 1st moving tile, such that tile is exactly at its lowest position and Vermillion jumps on it. Now both, you and Vermillion, are standing on the same tile i.e. the 1st one. Now jump or rather fall on left edge of 2nd moving tile and timely move to its right edge so that Vermillion falls on the 2nd tile. Do the same to reach the third tile and the floor on right side of room.
This method is very easy to perform compared to the flip method which took my 231 lives and still didn't succeed.