Some assembly is required for the LED's. I took my round piece of wood that I was using to mount the LEDS on and I started to glue the LED's in the desired places. The circuit from LEDCalc suggested I used 5x 2 LED's and 1 single LED in parallel. This ties in well with the arc reactor so I had the single LED in the middle and the pairs arranged around the edges.
As you can see from picture I made two rings of wire around the edges, the outer wire is 9V and the inner wire is 0V. This ring has the added advantage of providing an secondary route for the power should something go dramatically wrong in construction.
The power wires are passed through the back plate through a small hole, this will allow me to power the LED's when they are encased in the plastic.