The_Liquid_Laser said:
The paddles are 1 dimensional and technically the ball is 0 dimensional. (A point is zero dimensional.) Two dimensional objects have an interior. Their borders are one dimensional. That is what makes something a two dimensional object. It has to have an interior. Also, the controller on Pong is one dimensional. You can only move up or down. That is why I'm saying Pong is a 1D game. It has nothing to do with what happens on screen. We call Mario 64 a 3D game, but it is still on a 2D screen. I'm saying Pong is 1D, because the graphics and controls are 1D. The graphics of Mario 64 are 3D, and it uses an analogue stick. That is why we call it 3D. Pong uses 1D graphics and 1D controls.
One dimension is like the x-axis. You could move left-right only or maybe up-down only. Moving in all 4 directions is 2D.
Actually, I misspoke. A dot has no dimension. It is 0D. In any math class, your teacher has to make the dot big enough for you to see, so it technically has a height and width. But your math teacher is still going to tell you it has no dimension, because they are talking about the concept of a shape and not the literal height and width.
No, I am being perfectly honest. The biggest mistake I've made is that I misjudged how much (or little) people understand geometry. A square has an interior, and so does a rectangle. That is why the objects in Pong are not 2D. The controls are clearly not 2D either. Gaming started out as purely 1D in the sense that the graphics and controls were purely in 1D. Here is a quick geometry lesson. Go ask any mathematician and you may be shocked that they tell you the exact same thing. 0 Dimensional - a point (a dot) So if you look at Pong, Generation 1, it is limited by 1D graphics and controls. It is just two line segments (1D) hitting a dot (0D), and you can only move up or down (1D). This is very similar to how the NES is limited by 2D graphics and controls. There isn't much 1D or 3D in NES games. It as pure 2D as you can get. (Some late games had parallax scrolling. That's about it.) The SNES is also considered a 2D system, but it is starting to push the envelope into 3D: crude games like Star Fox, character models like Donkey Kong, and tons and tons of parallax scrolling. It's trying to push into 3D, but it's still very limited to fundamentally 2D graphics and controls. The Atari 2600 is very much like this with respect to 1D. It really is trying to push into 2D, probably even more than the SNES is pushing into 3D, but so many games are limited to line segments and dots, 1 dimensional graphics. There are also plenty of games where you can only move left or right, 1 dimensional controls. It's trying hard to be 2D, but there are still lots of 1D limitations on the games. Graphics are not really 2D until you have an interior though. One big reason that Dragon Quest became popular was because of the art of Akira Toriyama, who also created Dragon Ball. The NES was the first system where his art could have been relevant. NES characters had an interior and that allowed him to make all of those Dragon Quest creatures that are still used today. His art would have been wasted on a system like the Atari 2600 where the characters do not have an interior, and he would most have had to work with something like stick figures or other crude shapes. Graphically, an interior is a very important distinction. |
"Actually, I misspoke. A dot has no dimension. It is 0D. In any math class, your teacher has to make the dot big enough for you to see, so it technically has a height and width."
Uhhhhhhhh...
A dot has dimensions. It doesn't just "technically" have length and width, it actually does have length and width. If something has length and width it is two dimensional.
A point does not have any size or dimensions, but a point is not the same as a dot. A dot is a tangible symbol that represents a point.
The ball in pong is not a point. It's not even supposed to represent a point. A point is a location in space, not something that bounces around on paddles.
Like the dot your teacher draws, the ball in pong has length and width. It is two dimensional. If it was zero dimensional, we could not see it. If you could somehow "hit" an object with 0 dimensions then that's some kind of witchcraft.
Likewise, the paddles are not line segments. A line segment is a series of points. Theoretically, a line segment would have no width, but we cannot actually draw something with zero width. The thing that we do draw (which confusingly is also called a line segment) has width.
The paddles in pong again aren't even an attempt to represent something with zero width. Those babies are thicc. They clearly do not have zero width.
They are made of four line segments. There is an interior space between the line segments. The fact that the interior is the same color as the sides does not mean there is no interior. They are rectangles. They have two sets of parallel sides that are equal in length, and four right angles.
The ball and the paddles all have length and width. That is evident based on the fact that we can see them. I can measure the area of all three. They all take up a definite amount of space on the plane. They are all two dimensionals.
I would indeed absolutely be shocked if a mathematician told me differently.
This post is purely a courtesy for your benefit. I'm not actually going to start arguing over whether something that we can clearly see takes up two dimensional space on a plane is actually zero dimensional.
Last edited by JWeinCom - on 07 October 2020
