In Zimbabwe, Africa, you will find the magnificent Victoria Falls,at a height of 128m. The location is known as the “Devil’s Swimming Pool”. During the months of September and December, people can swim as close as possible to the edge of the falls without falling over. These falls are becoming well known amongst the “radical tourist” industry, when more and more people search for the ultimate experience.

more photos on the Snopes message board
Thanks George.
In related stupidity on the edge of a waterfall, today we visited the Fantasy Island waterfall in Kauai, Hawaii:

Tradition holds that Hawaiians once dove these Falls as evidence of their manhood. Many died. And many have died from jumping and accidental falls since.
Over a one week period a few years ago, three 22-year-olds leapt. None died. All were badly injured. All evacuated by helicopter.