Pygmy Date Palm TreeSculptural Patio Palm The Pygmy Date Palm, also known as the Robellini, has a uniquely sculptural look with full fronds and thick trunks. It is a short, stubby palm with green feathery fronds that makes a striking specimen or accent wherever it is placed. This Southeast Asia native grows to a maximum size of 6 12 feet tall and a spread of 6 to 10 feet. The gracefully curving green feathery fronds grow 3 to 4 feet long forming a dense evergreen canopy.