Making a lamp
Plato, Kepler, and Fuller
The icosahedron is one of the Platonic solids; Plato associated it with the element water. About this, Kepler said, "The large number of faces of the icosahedron … is seen as signifying the wetness of water, since wetness, by definition, is held within the boundaries of other things." ¹
Buckminster Fuller apparently experimented with several different polyhedra before concluding that he could inscribe a map of the world on the faces of an icosahedron to produce the most accurate flat map of the earth in existence. He called his map the Dymaxion Map (also known as the Fuller Projection Map).
The Buckminster Fuller Institute has updated the map with satellite imagery to produce one of the most stunning modern maps in existence. You can view the map at the institute's website: Dymaxion Maps⩘ .
(1) Peter R. Cromwell, Polyhedra. Cambridge Univ. Press, Cambridge, 1997.