So, to make this run off four 3,6V batteries, I needed to make some changes. The batteries are in series, supplying 14,4V in total. If the LEDs where solded and switch on as it looks now, they would fry as their working voltage is at 3,2V Therefore, the one 110 pieces long 'strip' was split into four, each consisting of 26 LEDs.

I'll try and illustrate:

14,4V Supply wired to #1 LEDs positive side

Supply+ to +LED

-LED+

-LED+ (26 pieces)

-LED+

-LED+

wire #1LEDs negative side to #2 LEDs positive side

+LED-

+LED- (26 pieces)

+LED-

+LED-

wire #2 LEDs negative side to #3 LEDs positive side

-LED+

-LED+ (26 pieces)

-LED+

-LED+

wire #3 LEDs negative side to #4 LEDs positive side.

Add a second wire to #4 LEDs negative side, and take it to the supply.

+LED-

+LED- (26 pieces)

+LED-

+LED-