All images from Tree Houses: Fairy Tale Castles in the Air. This one is the Honey Sphere Tree House. Buckminster Fuller, who popularized geodesic domes, would love this tree house, owned by Robby Krieger, the guitarist of the Doors. (Tree Houses: Fairy Tale Castles in the Air)
Pattern for a 4 frequency class-II geodesic dome. Only 3 strut lengths required. Also, just 3 unique panels. The blue is an equilateral triangle and the orange and green are isosceles. By Robert Clark.