s1, f1, f2....?

can someone explain this to me. I have sorta figured it out a bit through other posts, I know it has something to do with how close to the pure original strain the seeds are, but can someone explain the labeling system to me.

Taken from another members gallery.

haha that first pic is showing how plant alleels work....as for s1 a s1 is a seed created by a plant with itself when hermed an self pollinates.....f1threw f? refers to the generation of seeds from the origainl p1 or parent stock....ibl refers to when you use one of the f generations to back cross with the original p1 to hormongise a specific trait....boxing a strain refers to when you use an original cross with the p1 stock...such as jackcleaner2 which is the jackcleanerxjack the ripper....peace az

"haha that first pic is showing how plant alleels work" Exactly. Which helps to explain why f1 is more stable or reliable regarding traits of interest than f2.

I'm so confused