What is the graph of an n-D hyperplane with 10 axis?

  • Thread starter Mokae
  • Start date
  • Tags
    Plane
In summary, the conversation discusses the possibility of graphing an n-D hyperplane, with the example being given of a 2D graph of xOy and a 3D graph of xOyz. It is mentioned that it is not possible to graph in higher dimensions without suppressing one of the dimensions. The conversation then shifts to discussing the concept of a graph and the requirement of having a function or formula. The speaker also mentions that they are not currently considering dimensions. The conversation ends with a question about Japan.
  • #1
Mokae
20
0
In a 2d graphic, I have xOy, in 3d I have xOyz (origin O)

But how can I figure out a graph of abcdefg..Oxyz - an n-D hyperplane ?

Please consider a simple case of 10d, I have 10 different axis. What else can I go on with ?

Thanks
 
Mathematics news on Phys.org
  • #2
Hi Mokae! :smile:
Mokae said:
But how can I figure out a graph of abcdefg..Oxyz - an n-D hyperplane

You can't! :redface:

Even for four dimensions, it's not possible (unless you "suppress" one of the dimensions, to give a projection into 3-dimensional space).
 
  • #3
Mokae said:
In a 2d graphic, I have xOy, in 3d I have xOyz (origin O)

But how can I figure out a graph of abcdefg..Oxyz - an n-D hyperplane ?

Please consider a simple case of 10d, I have 10 different axis. What else can I go on with ?

Thanks
What do you mean by "a graph of abcdefg..Oxyz"? To have a graph, in any dimension, you have to have a function or formula. What function do you want to graph?
 
  • #4
tiny-tim said:
Hi Mokae! :smile:


You can't! :redface:

Even for four dimensions, it's not possible (unless you "suppress" one of the dimensions, to give a projection into 3-dimensional space).

Actually I do nothing with dimentions at present.
Have never thought I will have an opinion to deal with any either
Original purpose of the project seems to change into something different. Never bother to ask by the way.

How is Japan ?
 

FAQ: What is the graph of an n-D hyperplane with 10 axis?

What is an n-D hyperplane?

An n-D hyperplane is a geometric object in n-dimensional space that is defined as a flat surface or subspace that extends infinitely in all directions except for one. In other words, it is a flat n-dimensional surface that divides n-dimensional space into two halves.

How many axes does a hyperplane with 10 dimensions have?

A hyperplane with 10 dimensions has 10 axes, as the number of axes in a hyperplane corresponds to the number of dimensions in the space it is defined in.

How is a hyperplane with 10 dimensions represented graphically?

In order to graphically represent a hyperplane with 10 dimensions, it is necessary to use a 10-dimensional coordinate system. This can be challenging to visualize, so it is often represented as a 2D or 3D projection of the hyperplane onto a lower-dimensional space.

What is the purpose of studying n-D hyperplanes?

Studying n-D hyperplanes is important in many areas of science and mathematics, as they have applications in fields such as geometry, linear algebra, and machine learning. They also help us better understand and visualize higher-dimensional spaces and their properties.

Can a hyperplane with 10 dimensions be visualized in our 3D world?

No, a hyperplane with 10 dimensions cannot be directly visualized in our 3D world. However, as mentioned earlier, it can be represented as a 2D or 3D projection, which can help us gain some understanding of its properties in our familiar 3D space.

Similar threads

I The number of intersection graphs of ##n## convex sets in the plane
Replies
2
Views
915
I Chiral symmetries in E[SUP]^n[/SUP]
Replies
1
Views
1K
B Reprise: Calculate the distance between two points without using a coordinate system
Replies
1
Views
1K
Can Numbers Only be Graphed Using the Z Axis and What are They Called?
Replies
1
Views
3K
I Find an explicit formula for this n-sum problem
Replies
7
Views
2K
I Can this method be used to prove the Collatz Conjecture?
Replies
3
Views
2K
MHB Angle of refraction, Refractive Indices, and D Vectors
Replies
1
Views
2K
Projection of a point from one plane onto another
Replies
7
Views
3K
I Did I figure-out z-translation of 2D-coordinates correctly?
Replies
4
Views
617
MHB Are These Statistics Practice Answers Correct?
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top