# 4D Pong, continued

Well ok, here’s what I have so far. It’s clearly a work in progress, and it’s already really clear that trying to play Pong in four dimensions is hard.

Try it for yourself, by clicking on the image below:

## 6 thoughts on “4D Pong, continued”

1. Sharon says:

Well, I tried, but I don’t know what I’m looking at, and I don’t know how to tell when I’ve actually hit the puck vs. it just bouncing off a wall. I don’t think I get the shape of the hyperspace. How should I think about it?

BTW, are you left-handed? Just wondering based on the choice of control keys. I have a much easier time using my right hand for the left-right/up-down.

The hypercube exists in four dimensions — x,y,z,w. Since it’s a hypercube, it has eight hyperfaces, each of which is a cube. Every time the puck hits and bounces off a hyperface, that hyperface lights up (you see its edges glow).

Six of the hyperfaces are in the positive and negative x, y, and z dimensions. When the puck hits one of these hyperfaces, that hyperface glows white. Essentially, these six hyperfaces are the walls that the puck can bounce off on its way from one end of the playing field to the other.

The two hyperfaces in the positive and negative w dimension are special. They are the near (red) and far (blue) hyperfaces. You are hitting the puck from the red toward the blue, and your opponent is hitting the puck from the blue toward the red. Your job is to move your red paddle in x,y,z to block the opponent’s shot.

3. Interesting how – once I concentrate on playing it – it feels like a traditional pong game. My brain tries screens out the hyperfaces not directly relevant to the goal of hitting the puck back.

4. Sharon says:

That explanation is very helpful. I’m starting to get a better mental model of this. (Higher-dimensional geometries are not something I’ve spent much time thinking about). I was also looking at the pictures on this Wikipedia page: http://en.wikipedia.org/wiki/Tesseract. Which of the faces in your 4d hypercube are solid and which can the puck pass through? (I hope that question makes sense.)