In an open kitchen the island is simultaneously a worktop, a dining table and the visual centrepiece, so its design needs more thought than a standard counter: edge profile, built-up visual thickness, socket and sink cut-outs, joint placement, and whether waterjet inlay is feasible. Here is each element.

Granite or engineered quartz are the first choices: heat resistant, hard wearing and acid safe. Marble works if you want dramatic veining, but accept sealing and etching risk. Sintered stone suits those wanting maximum heat and stain resistance with large panels and few joints.
Countertops are usually 20 mm thick; a built-up edge or mitred 45 degree edge creates a visual thickness of 40 to 60 mm, looking substantial without a proportional increase in weight or cost. Ensure the built-up joint is sanded smooth and the veining aligns as closely as possible.
Place socket cut-outs on the side or concealed beneath the top rather than in the centre, where they break the veining. Sink cut-outs need enough margin, generally not less than 50 mm, and waterproofing at the opening. All cut-outs should be factory-made to drawing, never cut on site.
If the island is longer than a slab, a joint is unavoidable; keep it away from the sink and on the least visible side. Marble can be vein-matched so the joint reads naturally. For waterjet inlay, such as a floor medallion pattern extended onto the top, fix the design early and have the factory cut it.
Granite or quartz for heat, stain and low maintenance; marble for dramatic veining with care; sintered stone for maximum heat resistance.
Plan it away from the sink and out of the main sightline. Marble can be vein-matched to disguise it; quartz joints can be polished to a hairline.
Not with correct installation. The build-up is bonded with dedicated adhesive and sanded; with a flat substrate and no sustained impact it lasts as long as the top.