Post Index

Chronological Order

1. Ready to launch: an introduction
2. Sine on the Dotted Line: using sine and cosine to move at an angle
3. They’ve got atan, You Want atan2: using inverse tangent to turn towards a location
4. Teaching The World To Wrap: using modular arithmetric to make the world wrap around
5. The Mean Streak: visualising the calculation of the mean.
6. What Goes Up Must Come Down: implementation falling and jumping through acceleration.
7. Integrated Knowledge: changing acceleration to speed and speed to distance — an example of integration
8. Looking Too Hard for Patterns: a post about finding spurious patterns
9. Catch My Drift: a post about implementing asteroids-style drifting
10. Where Am I Headed?: converting between cartesian and polar coordinates
11. The Bus That Couldn’t Slow Down: implementing braking using fixed or proportional slow-down
12. Burning Rubber: rotating positions using polar coordinates
13. Theory: Vectors
14. Driving – Like A Bus: Adding friction based on location, and that differs sideways to forwards.
15. Theory: Lines
16. Checkpoint!: Adding checkpoints to the racing scenario by looking at the intersection of two lines
17. First We Take Manhattan: How to measure distance on a grid
18. Finding Your Way Around: Pathfinding on a grid with obstacles
19. Drawing in a Straight Line: Deciding which pixels to fill when drawing a line
20. Robotic Outlaws: Shooting on a grid
21. Lines of Sight: Calculating visibility on a grid
22. Approaching the Third Dimension: Raycasting
23. Another Brick In The Wall: Texture Mapping
24. Doomed: Trigonometry in an early first-person shooter game
25. Shooting Rocks: Collision Detection between a point and a circle
26. Laser Cutter: Don’t Miss A Thing; collision detection between a line and a circle
27. First In Line: taking only the first item that a line collides with.
28. Image Rotation: how to rotate an image.
29. Pooled Knowledge: how to detect if two circles are touching each other.
30. Bouncing Off The Walls: one way to bounce a ball off a wall, using angles.
31. Rack ‘Em Up: how to use maths to figure out the starting placements for pool balls.
32. Bouncing Off The Walls, More Productively: a different way to bounce balls off walls, using the dot product.
33. Making Your Balls Bounce: implementing collision resolution between two moving balls.
34. Fruit Flies Like A Banana: Projectile Motion.
35. Take Aim: working out where a projectile will land before it’s fired.
36. Flight Music: generating an individually-tailored sound for each thrown projectile.