Divide Surface irregularly using attractors

Hello learned and wonderful people of the grasshopper community, 

I am trying to divide a surface but alter the density of the divisions using an attractor. I've noticed that in most of the literature regarding attractors that a physical property of an object is affected but the distribution of the the objects remains constant. 

I've made a sketch of what i'm trying to achieve the attractor point is quite difficult to see but i'm hoping to place an attractor point below the surface and slightly offset. 

I'm hoping to take this a stage further to offset the surface and then triangulate the points to produce webs and form a truss like structure, then panellise the outer surfaces. I would also preferably like to do this based on a triangular grid, but i am thinking i can use this rectangular arrangement to create the underlying geometry required to triangulate the structure. Does this seem feasible or should i begin with triangles?

Any help would be much appreciated. 

Many thanks 

J-P