Explore an Amazing Maze in 3D Space!

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Discussion Overview

The discussion centers around a personal project involving a maze exploration program that operates in a multi-dimensional space, specifically allowing navigation through up to 8 dimensions while being visualized in a 3D environment. Participants are seeking clarification on how higher dimensions are represented and navigated within the constraints of 3D space.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant describes their program that allows exploration of a maze in up to 8 dimensions, visualized in 3D space.
  • Another participant questions how navigation through 4 to 8 dimensions is managed in a 3D world, suggesting that turning right multiple times would lead back to the starting point.
  • A participant clarifies that the program displays only 3 of the available dimensions at a time and allows users to swap which dimensions are visible.
  • Some participants assert that it is impossible to have more than three dimensions in a 3D space, emphasizing the meaning of "3D."
  • Others respond that the maze is abstracted to fit within the constraints of our world, contrasting it with traditional 2D mazes.
  • There is a mention of a video that explains the concept of viewing a 3D hyperplane aligned to three spatial dimensions of the maze, which is projected onto a 2D screen.

Areas of Agreement / Disagreement

Participants express disagreement regarding the feasibility of representing more than three dimensions in a 3D space. Some participants maintain that the program's abstraction allows for this representation, while others challenge the validity of such an approach.

Contextual Notes

There are unresolved questions about the mathematical and conceptual implications of navigating higher dimensions within a 3D framework, as well as the limitations of visual representation in this context.

AtlasSniperma
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Hey everybody,

So I just finished the first version of a personal project I've been working on. This is a simple program that enables you to explore a maze that consists of more than 2 dimensions(to a maximum of 8) in 3d space.

It's a simple creature that I'm not sure anyone would really be interested in playing, but if you are you can check it out at the following address.
http://www.indiedb.com/games/am4zing

Commentary and/or feedback is appreciated,
Thanks.
 
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Cool! How do you handle 4 to 8 dimensions in a 3D world?

Like, if you turn right 4 times do you not end up back where you started?
 
DaveC426913 said:
Cool! How do you handle 4 to 8 dimensions in a 3D world?

Like, if you turn right 4 times do you not end up back where you started?

Sadly no. That is in fact the original way it was attempted, but the program just wouldn't work. Instead it displays only 3 of the available dimensions at a time, and allows you to swap out what ones are visible at any given moment.
 
AtlasSniperma said:
This is a simple program that enables you to explore a maze that consists of more than 2 dimensions(to a maximum of 8) in 3d space.
You can't have more than three dimensions in 3D space. That "D" in 3D stands for "dimensions."
 
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Mark44 said:
You can't have more than three dimensions in 3D space. That "D" in 3D stands for "dimensions."
-_- I realize that. The maze is abstracted to fit in our world. I meant as opposed to moving in a 2d maze like those in a newspaper and most maze programs.
 
AtlasSniperma said:
-_- I realize that. The maze is abstracted to fit in our world. I meant as opposed to moving in a 2d maze like those in a newspaper and most maze programs.
So how can you have up to 8 dimensions in 3D space?
 
Mark44 said:
So how can you have up to 8 dimensions in 3D space?
See reply to 'DaveC426913' :D

AtlasSniperma said:
Sadly no. That is in fact the original way it was attempted, but the program just wouldn't work. Instead it displays only 3 of the available dimensions at a time, and allows you to swap out what ones are visible at any given moment.
 
Mark44 said:
So how can you have up to 8 dimensions in 3D space?
There is a video explaining the concept.
Your view is always limited to a 3D hyperplane aligned to three spatial dimensions of the maze, which is then projected on the 2D screen. You can choose the view.
 
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