Try this instead - instead of wiring up a bunch of transistors, use a MAX7219 to control them all.
You just need the MAX7219, 10uF cap, 0.1u cap, and a resistor around 10K.
Three pins from the Arduino to send data to the MAX7219 to turn the LEDs on & off.
I even offer a card to make it really easy: http://www.crossroadsfencing.com/BobuinoRev17/
Hello, I'm starting with arduino, I want to connect 3 series of 10 power LEDs, 3.4v and 500ma and dimmear them through bluethooth but I have searched and I do not really find that I need to do that, the most that I could control are just 3 leds using the outputs 9,10,11 of Arduino UNO, is for an aquarium lamp, thanks I hope I can help
High power LEDs like that need current-controlled drivers to keep them from overheating and drawing even more current & then burning up, such as this one
I think sparkfun.com has high current drivers, if not I can design a board that can be Arduino controlled.