How to find a concentric irregular polygon

Hi everyone,

How can I find a new set of points which compose a concentric polygon, inside the original one (in the picture), with a given distance from it?

Answer 1

[Image Analyst]

I'd just find the centroid of the shape, then run around the perimeter finding the distance to the centroid. Then use normal trig functions to shorten that distance and get new (x,y) coordinates.