My algebra is very rusty so I used the measurements of pin placement from an image I found that showed the relationship from pin to pin in the rack formation. I know that from one pin to the next closest pin measures 12 inches and from the head pin to the 5 pin it measures 18 inches. I am not sure of the conversion to metric but I tried to use x and y coordinates to make each grouping of 3 pins from over head an equilateral triangle.
Any way, below is a picture of the results.
