I wonder how to connect 200 LEDs divided into 3 groups with PWM control, to the Star Map without fiber optics.
The first group connect 30 LEDs 10mm;
The second group connect 70 LEDs 5mm;
The third group connect 100 LEDs 3mm;
Would you like to fade these LEDs using the Arduino.
Do not know much about electronics.
You probably want to drive the LEDs with a higher voltage (say: 12V to 50V) so you can put a bunch of LEDs in series. Try this online calculator:
http://led.linear1.org/led.wiz/
Then you can use an NPN transistor that can handle the voltage and current to switch the array on and off via a PWM pin.