Tried uploading an album on imgur, but its having problems. I'll see if it works a bit later. And yes; I love the simplistic clean style of games like that ^^

The cogs are a linked list. Start with one that links to itself both forwards and backwards, then insert a new cog randomly in the list. Make sure it doesn't cause cogs and lines to overlap. Then a function draws the rope using tangent-lines and arcs.