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Coincidentally the kitchen fitter quote bloke just left, and he said that they can cut everything themselves from rectangular sheet - except for under-mounted sink hole. Presumably that's just a bit too on-show to risk it. So we'll order a big old rectangle with a sink hole and let them do the rest.
Annoyingly they said that our fridge socket isn't up to code - needs to have a remote switch as it's a built-in fridge. Looks like our waste pipe and water pipes are also slightly in the wrong place so will need moving or we'll have to have half-depth drawers in those places.
Constant niggles.
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i think you're probably going about it the right way with the big sheets.
however, i ordered bamboo worktops cut to size from https://www.worktop-express.co.uk/online-bespoke-worktop-tool/ and they all fit together and were installed without any drama (i think i had to plane a little bit off one of the back edges)
any minor gaps on the back edge close to the walls were covered up when i did the backsplash tiling.
That is what we are doing for our island. Order full sheet, cut out rectangle. Keep off cuts for fun project. Getting worktops cut to order is not impossible, but I wouldn't trust myself to measure it, or trust that the walls are straight/square. Can you have your contractor take charge of that?