MHB Parameterisation of quadric surfaces of order 2

  • Thread starter Thread starter bugatti79
  • Start date Start date
  • Tags Tags
    Surfaces
AI Thread Summary
The discussion focuses on seeking online resources for parameterizing quadric surfaces of order 2, specifically referencing a cone as an example. Participants inquire about standard techniques for deriving parametric equations for various quadratic surfaces. There is a mention of existing resources, such as Wolfram MathWorld, but the initial poster expresses difficulty finding useful information through a general search. The conversation highlights a need for clarity on what is meant by parameterization in this context. Overall, the thread emphasizes the search for effective methods and resources in understanding quadric surface parameterization.
bugatti79
Messages
786
Reaction score
4
Hi Folks,

1) Can anyone provide some online sources on how to parameterize quadric surfaces of order 2 as shown in this link

Algebraic Surface -- from Wolfram MathWorld

Is there a standard technique?

I did a google search with no useful info.

Thanks
 
Mathematics news on Phys.org
bugatti79 said:
1) Can anyone provide some online sources on how to parameterize quadric surfaces of order 2 as shown in this link
What do you mean by parametrization?
 
Evgeny.Makarov said:
What do you mean by parametrization?

As an example, in the above link, specifically a cone, there are parametric equations given
Cone -- from Wolfram MathWorld

Is there a technique to derive all other types of quadratic surfaces?
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

Similar threads

Replies
1
Views
4K
Replies
17
Views
3K
Replies
1
Views
1K
Replies
11
Views
2K
Replies
2
Views
3K
Replies
40
Views
17K
Back
Top