xy:
What is the value of the pot you're using?
Are you using the exact relay that I specified in the article? or did you buy one somewhere else?
I'll get back with you shortly to try and troubleshoot what is happening. It's a fairly simple circuit...don't worry, we'll get it figured out.
edit:
Just noticed something. From the looks of the transistor, you have it in backwards. Make sure that it's the Emitter that is going to the ground line and the Collector that's going to the realy Pin1.
In your pix, it looks like you have the transistor turned so that the exact opposite is happening which would explain why turning the pot NEVER activates the realy.
For this type of transistor, the Base is pretty much always the middle pin. The Emitter and Collector are the left and right pins. Double check and make sure.