In Japan, if you really screw up, just saying you're sorry won't cut it. You might have to grovel. And this is some of the most extreme Japanese grovelling you'll see.
As previously mentioned , prostrating yourself (土下座 or dogeza) is a way to apologise when words alone won't cut it. It's a pose that empowers the person you are saying sorry to and leaves you vulnerable -- your neck is exposed, which when Japanese people carried swords, put you at another's mercy. It has also been used when people met or encountered nobles.
Typically, you get down on the ground and strike this pose:
Japanese apologies are not as extreme -- or acrobatic -- as these. Too bad, because these please-forgive-mes are amazing.
Courtesy of Livedoor, here is a jumping apology:
A sliding sorry:
And the reverse flip:
This is like the Voltron of apologies:
And finally, the pyramid of sorry: