Tower spine control

Grasshopper
1

Hi all,
so I have this model which is supposed to be a tower, and I would like to have this profile and control that parametrically with a curve in order to create a spine. My question is, how can I create this profile with grasshopper and how can I control some of the points in order to control a spine?
This is the result I aim for

image
image1022×675 59.1 KB

This is the profile
image
image737×662 9.98 KB

The ideal script is to control this point
image
image1206×1371 147 KB

Thanks in advance!

2

I’m isolating those 4 points with POINT IN CURVES, moving them around then putting the list of points back together.

WAVY
WAVY1813×599 160 KB

WAVY.gh (14.5 KB)