Base physics work was heavily focused on linear algebra calculations and defining movement around these physics

• Although didn't make it into the game, changing the direction was a well-developed component​

  • Beyond working with just gravity being down, gravity could point in any direction​

    • Movement vectors had to be based on the orthogonal to the direction of gravity​

    • Terminal velocity had to be derived from the current velocity using dot products and projection

• Conservation of momentum and friction​​

  • In the second semester, we added moving platforms to the game​

    • To ensure the player stayed at speed with the platform, had to set the default player velocity equal to the surface it was on​

    • Friction meant that the player would slow down to the default velocity, not necessarily a zero vector

• For better feeling motion, when the player is on the ground their movement is based on the ground normal instead of direction of gravity​​

  • Main difficulty was ensuring that physics calculations were done in the correct order such that the player would not bounce off the incline​

• An additional feature I worked on that never made it in was wall jumping, which used ray tracing and surface normals​

The main idea of the game was that you would need to change you state in order to solve puzzles (light, normal, or heavy)

• Each state interacts with the environment differently​

  • Light state is propelled out of water, launching the player into the air, and has a floaty jump​

  • Normal state sinks in water, but in some fans can be lifted out, and behaves as a middle ground in movement

  • Heavy state sinks in water and can move through wind, but has a small jump

• Most of my work in these states was to derive piecewise components for liquids, wind tunnels, and movement that felt natural and well-behaved between any state​​​