Abstract: A roof construction includes multiple hyperbolic paraboloid units joined together at adjacent peripheral edges to form a multi-unit roof span. These units include both horizontally extending edges and sloping edges, and vertical members to support the roof at the ends of only some of the sloping edges. Horizontally disposed and tensioned or compressed members connect ends of sloping edges that are unsupported by vertical members with ends of sloping edges that are supported by vertical members to transmit horizontal forces between the connected ends. This construction can be employed to form a large roof span without using interior vertical support members.