I have some images of the honda 5 link.. For now I can repost the design targets as marketed by Honda; I only wish I could give the definitive engineering reasoning behind it though.
5-Link Double Wishbone Rear Suspension
Development Objectives
Tokyo, July 2, 1997 --- Suspensions are designed to ensure vehicle stability under any circumstance associated with accelerating, cornering and braking. To properly assume this role and thus avoid any undesirable movement, suspension design needs to be sophisticated. As an uncontested leader in front wheel drive technology, Honda has acquired extensive know how in driving stability. We have been able to determine that further improvements in front wheel drive basic performance required special attention toward the rear suspension.
Carrying less weight than the front wheels and having no role in power transmission, rear wheel movement needs to be much better controlled using a sophisticated rear suspension. Rear body movement also plays an important role in driving comfort. For these two reasons we have developed, using the Γ-method analysis, a new 5-link double wishbone rear suspension specially packaged to meet passenger car requirements.
The 5 links would look VERY cumbersome and ugly at the rear an F1 car though, especially with all the coca cola rears we are seeing today. I think the 4-link suspension would be a better fit.