cycling 4 LEDs at varrying speeds

Wow!! Is a moderator seriously insulting me?
Unless this is your way of trying to teach me something, I would expect more from a moderator.

here it is in easy to understand terms:

start with 4 LEDs set in output pins 2-5.

start by chasing each other one after the other at the rate of XX cycles per minute (cpm).
the chasing increases at the rate of XX cycles per second (cps) until it reaches XX cpm
once that cpm is met then it decreases speed by XX cps until XX cpm are met.
It does this over and over and over and over again.

That's the goal I'm trying to achieve here.

Is it simple to do?

If boiling eggs for 3,4,5 minutes is supposed to mean something explain it to me...