After lots of research and faulse starts we eventually get a concrete polishing machine that is delicate enough to appear to work. Other machines with diamond discs are way too powerful and grind about 1mm per pass off the concrete - these would be great for a rough old slab but our pristine polished floor needs something more delicate. The machine is a large orbital sander uses diamondpaper (like sand paper but much more expensive).
After about £50 worth of sheets we realise it is much more effective to use a 9" angle grinder. On an 80sqm floor! The job takes ages and is painfully horrible (vibration and dust).
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Spent the 3 days it took to do this job cursing the supposed experts at Lazenby contracts and the manufacturers of the concrete curing compound Sika Pro Seal W.