Learn Representing Points and Lines in Python | Introduction to Geometric Modelling

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In geometric modelling, you often need to represent basic geometric objects like points and lines in a way that is both efficient and easy to work with. In Python, the most straightforward way to represent a point in two-dimensional space is as a tuple containing its x and y coordinates. For example, a point at coordinates (2, 3) can be written as (2, 3).

A line segment, which connects two points, can be represented as a pair of such tuples. This means a line from point A to point B is simply the pair (A, B), where each is a tuple of coordinates. This approach leverages Python's built-in data structures and keeps your code clean and readable.

Once you have points and lines represented in this way, you can perform geometric calculations. A common operation is finding the distance between two points. The distance formula in two dimensions is derived from the Pythagorean theorem and is given by sqrt((x2 - x1)^2 + (y2 - y1)^2). Python's math module provides the sqrt function to make this calculation straightforward.


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import math

# Define two points as tuples
point_a = (2, 3)
point_b = (7, 11)

# Define a line as a pair of points
line_ab = (point_a, point_b)

# Calculate the distance between point_a and point_b
def distance(p1, p2):
    dx = p2[0] - p1[0]
    dy = p2[1] - p1[1]
    return math.sqrt(dx * dx + dy * dy)

dist = distance(point_a, point_b)
print("Distance between A and B:", dist)

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