LED lamp parameterized including source code

I wanted to create a cool designed LED-stripe lamp with three arms, 1.5m high for the living room to impress my wife what may be done with a 3D printer (20 cm bed size).
The lighted arms should start in the base (where the power supply is plugged in), turning around like a bow. To get a hight of up to 1.5m, I had to cut the arms into several pieces, each a maximum length of 20cm. Each piece had the width to take at least one LED stripe. To let the light shine through, the topping of each piece