Cook water with a small pinch of salt for your pasta. When it cooks, add the rigatoni to the water.
Take your heat resistant bowl, put it on top of the pasta pan (while the pasta is cooking). Put the 4 egg yolks and the 2 eggs into the bowl, together with the grated cheese and 2 table spoons of pasta water and start whisking until you get a fluffy mixture. If it is too thick, add some more pasta water, if it's too thin, add more grated cheese.
When you're happy with the mixture of the sauce (or if the egg starts to look like scrambled egg), take the bowl off the heat and put it aside.
Drain the pasta when ready, keep some of the pasta water just in case you'll still need some for the sauce.
Mix the pasta with the sauce, add some pepper.