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V
24-Ruby IV
ValeryOchkov24-Ruby IV
24-Ruby IV
January 6, 2018
Question

Firecrackers 2018 or 4-d order curve and 14 points

  • January 6, 2018
  • 2 replies
  • 13377 views

I ran firecrackers for my granddaughter on New Year's night. That's what we saw in the sky: a 4-d order curve passes through 14 points!

2018-3.gifQ

Questions:

1. What case is more fine, interesting?

2. Why sometimes one point is out of the curve? Is it my error or an error of the numeric math of Mathcad 15?

3. Can you create better program of curve plotting?

 

Help me with the 5-th and more order curves! 

2 replies

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
January 6, 2018
@ValeryOchkov wrote:

 

2. Why sometimes one point is out of the curve? Is it my error or an error of the numeric math of Mathcad 15?

 

Sorry! I have find an error - 14 not 13 in one place of the sheet! It was my mistype!

2018-4.gif

 

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
January 7, 2018

 

Predator (Wrench)

2018-4-1a.png

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
January 7, 2018

Elk

2018-4-9.png

W
Werner_E25-Diamond I
25-Diamond I
January 7, 2018

OMG, looks like you really miss your personal private groups where you used to put that kind of collections, right? Man Wink

 

> 3. Can you create better program of curve plotting?

Not me, but "uni" already did. I would suggest that you use the implicitplot2d() routine by Viacheslav N. Mezentsev which was posted in the forum here quite a few times in the good old days. His routine is much speedier and the results usually are a lot better!

 

> Help me with the 5-th and more order curves! 

Any specific reason you are interested in that? Basically the same method but not more interesting, I guess?

 

Keep in mind that even very small displacements of the initial points may have a big impact on the shape of the curve:

 

Unable to play video. Please try again later.
(view in My Videos)
 

 

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
January 7, 2018

Thanks, Werner for the Viacheslav N. Mezentsev method!

I will use it!

W
Werner_E25-Diamond I
25-Diamond I
January 7, 2018

Yes, I gave it a try and as you can see by the screenshots, Viacheslavs method really is lightning fast.

The 10th order curve took just a few seconds to draw - while of course the order is not very important when it comes to implicitplot2d(). Its rather the preparing and solving of the system which takes up a little more time.

Looks like embedding videos does not work for me. Maybe a similar problem with the Mathcad codec as we had in Jive?

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