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-Uses only a chip(without the arduino board)
I wanted to get my costs down and made a standalone board using only the chip.http://electricprojects.wordpress.com/2012/05/29/standalone-arduino/
http://www.arduino.cc/en/Main/Standalone
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6 PWM pins needed
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-The LEDs and resistors are soldered onto pre-printed circuit chipboards
If you mean a manufactured PCB, then yes this is possible, but you have to design it and they can be pricey. I like using Adafruit proto boards as they are nicer than regular perf boards. https://www.adafruit.com/products/571