The term zome comes from combining the words dome and Zonohedron, there are a number of different definitions but the consensus of opinion seems to refer predominantly to a specific set of Polyhedra derived by zonohedrified Prisms and Antiprisms. Below is an illustration of a square Antiprism and its Zonohedron.
Some characteristics that zome buildings share are:
They have pointed tops and round bases like an onion or minaret.
All the struts are the same length.
They tend to be made up of diamond shaped panels, (but not always).
They are highly symmetric, vertical and horizontal symmetry on even faced zomes.
Zomes can be made by the zonohedrification of prisms or antiprisms with any number of sides, usually the top group of diamond panels correlates with the number of sides on the prism.