Altitude is the third dimension, but I presume you knew that.
"Geography is three dimensional" doesn't correctly communicate the time dimension.
"Geography is three dimensional" doesn't correctly communicate the time dimension.
Also in Rio, how high you live can be a marker depending on which part of town you are. Favelas are on hills, whereas wealthy people in Zona Sul live down the hill closer to the beaches.
You can do the same with geography. It's why generally only specify geographical coordinates with latitude and longitude, altitude is a given from those two, since you're as unlikely to be hovering in the air as you are to be immersed in bedrock.