The interesting thing is that they go down for about 1500m to Playa de Taburiente, the plain in the inside of the crater. It's not the only buttress of that type. The most impressive is at Roque de los Muchachos which points out into the caldera for about 800m before suddenly dropping right into it. A very special place ...
You kind of see it on the satellite photo. The Pared is directly to the right of Fuente Nueva.
"After the first glass, you see things as you wish they were. After the second, you see things as they are not. Finally, you see things as they really are, which is the most horrible thing in the world."
--Oscar Wilde on Absinthe