Find most curved part of a curve

Dear Rhinos,

Hope all is fine by your side. I would like to ask if there is any way to find the most curved part of a curve by using vector (angle maybe?) or other like in the picture below, so I can split into two kind of curves ? Any suggestion ? Thank you very much

I hope this comes handy (15.9 KB)

Otherwise you could integrate a custom py script

def find_inflection_points(curve):
    """Find the inflection points of a curve."""
    # Parameterize the curve
    curve.Domain = Rhino.Geometry.Interval(0, 1)
    # Initialize the list of inflection points and their curvatures
    inflection_points = []
    curvatures = []
    # Sample the curve at a number of points
    num_samples = 1000
    for i in range(num_samples):
        t = i / num_samples
        # Calculate the curvature vector at the current point
        curvature = curve.CurvatureAt(t)
        if curvature is None:
        # If this is the first sample, save the sign of the curvature and continue
        if i == 0:
            previous_curvature_sign = curvature.Z > 0
        # Determine the sign of the current curvature
        current_curvature_sign = curvature.Z > 0
        # If the sign of the curvature has changed, add the previous point to the list of inflection points
        if current_curvature_sign != previous_curvature_sign:
            inflection_points.append(curve.PointAt((i - 1) / num_samples))
        # Update the sign of the curvature
        previous_curvature_sign = current_curvature_sign
    return inflection_points, curvatures

inflection_points, curvatures = find_inflection_points(curve)
  if inflection_points.Count >0 :
    # Find the inflection point with the most variance
    max_variance_index = curvatures.index(max(curvatures))
    max_variance_point = inflection_points[max_variance_index]
    # Add a dot at the inflection point with the most variance
    dot = Rhino.Geometry.TextDot("Max Variance Inflection Point", max_variance_point)

Hi. many thanks for your alternative about “Derivatives”. Something I missed. However, how can we adjust the minima/maxima ? Because it seems be a little bit far away. Or it depends of the curve ?