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There is no 6V in the system. That is why his resistor was getting hot at 12V. I use a 6V battery pack or a 9V battery. 12V is too much for this resistor.

I would go for 2x 18650 batteries. Rechargeable and they last a long time. If you look on dx or banggood you can find the batteries and a battery holder for them.

I use a hobby grade 6V battery from my RC cars.

4.2V fully charged. 3.7V under load. 3V at end of charge. But drops rapidly after approx 3.5V.

How many W are the leds in total?

I have no idea. I designed them around 10 years ago.

I ordered three sets of these. No, not because they're bad, because I'm an idiot. I cut the resistor off the first set I got thinking, "Oh yeah, it'll be fine Jason, just splice it right into the 12v line of the PEEK fan"... *POW* all six LEDs blew in a quick little spark.

(ORDER #2)
"Alright, we're gonna do it right this time Jason" *acquire 5v voltage regulator from radioshack, cut resistor off again (LIKE AN IDIOT)* "OOH, pretty lights! They work this time! Hey... weren't there just 6 lights on... why are there only three on? Now two... and one.."

(ORDER #3)
"Do NOT remove the resistor Jason!" *wires LEDs with resistor to 5v voltage regulator* "SUCCESS!!"

I'm glad you got them working.

For those of you that left a couple of the 5volt wires from the axt power supply you can just wire them to that and switch and walla you have stable 5volts and no battries needed.