In a game of Pacman a specific algorithm is used to control the movement of the ghosts who are chasing (running towards) Pacman. For this challenge we will assume that ghosts can walk through walls (as ghosts do!). So we…

Bouncing algorithms are often used in arcade games such as Pong or Breakout. To understand how to implement a bouncing algorithm, it is essential to understand how the computer controls the trajectory of a sprite (e.g. ball) on the screen.…

Have you ever noticed when playing a team sport video game such as a (football, basketball, rugby game, etc.) the computer often finds out who the closest player to the ball is so that you can run to the ball…

In this challenge we will use a Python script (using Python Turtle) to generate a random background for a 2D video game. To create a mountain range skyline we will use two different approaches: Using a polynomial function Using a…

The aim of this challenge is to demonstrate how the oblique projection formulas are used to convert 3D coordinates (x,y,z) into 2D coordinates (x,y). The oblique projection formulas are essential to understand how 3D models are displayed on a 2D…

In this challenge we will use Python Turtle to create and draw a layer cake. The code provided at the bottom of this blog post is using a few computing concepts such as: A list to store the parameters of…

The infinite quarter series is a series where each term is a quarter of the previous one: We can visually represent this series by dividing a canvas (or price of paper) into 4 quadrants and colouring in one quadrant (bottom…

A few hundred years ago people enjoyed betting on coins tossed on to a wooden floor … would they cross a line or not? A French mathematician called Georges-Louis Leclerc, Comte de Buffon (1707-1788) started thinking about this and worked…

In geometry, the golden angle is the smaller of the two angles created by sectioning the circumference of a circle according to the golden ratio. Golden Angle ≈ 137.5° The golden angle plays a significant role in the theory of…

In this challenge we will write several procedures to graph different mathematical equations on screen using Python Turtle. We will focus on: Linear equations: y = ax + b Quadratic equations: y = ax2 + bx + c Trigonometric functions:…