peternielsen112 / mathematical-transformations

A python repository containing math scripts.

Mathematical Transformations in Python

Contents

• Overview
• Requirements
• Multiple Point Transformations
  • Dilation
• Single Point Transformations
  • Reflection
  • Rotations
  • Translations
• About the Creator

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Overview

This repository contains four programs: dilations.py, reflections.py, rotations-singlepoint.py, and translations-singlepoint.py. Each one is meant to reproduce a form of transformation within algebraic geometry. Two of the programs enable transformations applying to a three-point shape - a triangle - and the other two enable transformations applying to a single point. None of these programs show a coordinate plane. I am currently working on turning these functions into a Python module for ease of access.

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Requirements

These four programs require Python 3.7 or higher. No modules are required for the use of these programs.

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Multiple Point Translations

The program dilations.py is used for three points (often in the form of a triangular shape).

Dilation

The program dilations.py is run from the command line using python3 dilations.py. You will be prompted for a scale factor of the dilation (which should be nonnegative). You will also be prompted for the x and y values of three points. The program will return the dilation of those points with the given scale factor.

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Single Point Transformations

The three programs reflections.py, rotations-singlepoint.py, and translations-singlepoint.py are used for one point.

Reflection

The program reflections.py is run from the command line using python3 reflections.py. You will be prompted for the axis of reflection - x or y - and the coordinates of the point. The program will return the reflected point's coordinates.

Rotation

The program rotations-singlepoint.py is run from the command line using python3 rotations-singlepoint.py. You will be prompted for the degree value of the rotation: 90, 180, or 270 (the angle of 360 would be the original point). Then you will be asked to input the x- and y-coordinates of the point. The rotation will then occur at the angle specified around the origin.

Translation

The program translations-singlepoint.py is run from the command line using python3 translations-singlepoint.py. You will be prompted to enter the current coordinates of the point and then the direction of change for x (left/right) and the number of units right or left. Then you will be prompted to enter the direction of change for y (up or down) and the number of units up or down. The program will return the coordinates of the point after the specified translation.

About the Creator

I create programs in a variety of languages, from Python to JavaScript to CSS and more. I'm on GitHub: @peternielsen112 and also Replit.com by the same username. Please email any problems or suggestions to me at [email protected].

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