Cut your LED strips to your desired length and configuration. Out light is comprised of 3 20-LED sections of each color temperature strip. Be sure to preserve solder pads on each end of the strip.
If using the super dense 144/m strip, you may have a "waste pixel" between sections in order to get as much available solder pad as possible.
Strip and tin four different colored stranded wires. Tin the pads of the DotStar strip.
Solder every other wire on alternating sides of the LED strip to help avoid shorts.
Carefully trim the wires to length so that they make tidy junctions to the next strip. Remember to keep all the data arrows flowing in the same direction!
Your LED circuit will now look something like this. Test it with your solderless breadboard circuit before proceeding.