Parametrically generated Chinese lamps

I am not sure if these lamps are called Chinese lamps but they seem Chinese:)
These 3D shapes are created with an order of radially groving arcs. They are slided in an even-odd-order in series. When the lines are cut and the center is lifted the 3D shapes come out from a piece of paper. There are lots of possibilities to be tried by controlling the number of series, number of arcs in one serie, distance between series and the gap between arcs. Also the starting radius can be controlled. Unequal arc lengths brings surprising 3D shapes.

Please see other stuff that I made

I have tried it in RhinoScript and in GH. GH provided two different alternatives. One is to create the arcs in odd and even series the other is creating the arcs and choosing the ones to rotate. Both are added to this message.
My question is while creating the arcs we use an angle and this makes the arcs to be in good order but while the number of series are increasing the length of arcs are decreasing(not angles the lengths). I have tried to fix this problem because ı want the gap between arcs to be the same in every serie. But could not find a way. If someone could help me with this I will be more than happy.

Please also give ideas to improve the definition with extra features.