import math
import sys 

class geometry:

    def __init__(self):
        self.name = ''

    def curvature( self, list ):
        if ( len( list ) < 3 ):
            #Too few points
            sys.exit( 0 ) 
            return -1
        else:
            x1 = list[0][0]
            y1 = list[0][1]
            x2 = list[1][0]
            y2 = list[1][1]
            x3 = list[2][0]
            y3 = list[2][1]
    
            num = 2*((x2-x1)*(y3-y2)-(y2-y1)*(x3-x2));
            den = math.sqrt( (math.pow((x2-x1),2) + math.pow((y2-y1),2)) * (math.pow((x3-x2),2)+math.pow((y3-y2),2 ))* (math.pow((x1-x3),2)+math.pow((y1-y3),2) ) );

            if ( den == 0 ):
                return 0

            return num/den

Curvature of point set

math, python

Python