Hi Jez - your surfaces aren't being actually divided there, that's just how Rhino's default display works since it was originally designed as a wireframe display.
Those additional dividing lines are drawn by Rhino across a surface so that there would be a way to visualize the surface with wires displaying only.
You can turn them off by selecting the objects in Rhino and going to properties > Isocurve density and uncheck "Show surface isocurve". That should stop those additional wires from being displayed in Rhino.
- Michael
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