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Only two or three “theoretically efficient” structures are known, including Xanadome. Unlike most structures, Xanadomes satisfy the conditions of theorems of structural efficiency stated by James Clark-Maxwell and by Michell, meaning that no other structure performing the same task may be lighter. The other well-known examples are the bicycle wheel (see London Eye) and the guyed mast. Nearly all other structures, including all those utilising beams, are heavier than theoretically necessary.

Xanadomes are not just another shape of structure. They are special in their inherent efficiency.

Efficient structures utilise every part of their material at its full strength capacity but this is only possible when their components are axially loaded as pure struts or pure ties. Beams have high stresses at their outer faces but internally the stresses are lower and consequently the material is not fully utilised, making them inefficient.

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