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Seven math curves

ValeryOchkov
24-Ruby IV

Seven math curves

83 REPLIES 83

3. black * blue = const (ovals Cassin)

Animation

Video Link : 7032

Video Link : 7033

Two branches of the curve^ one for Black^Blue and others for Blue^Black:

Video Link : 7184

2. |black-bleu|=const: hyperbola

Animation

Video Link : 7031

1. black+blue=const: Ellipse - animation

Video Link : 7029

You demanded

> a • b • c = const

and as it was quite easy to change the sheet with the constant sum to provide a constant product, so here it is.

Werner_E
25-Diamond I
(To:Werner_E)

And here is the (IMHO less interesting) animation showing the distances:

Werner Exinger написал(а):

And here is the (IMHO less interesting) animation showing the distances:

Animation

Video Link : 7022

As already written I prefer the original avi files and not those streaming crap.

Werner_E
25-Diamond I
(To:Werner_E)

Hmm, the forum seems to dislike the word c*r*a*p !?

Werner Exinger написал(а):

Hmm, the forum seems to dislike the word c*r*a*p !?

Use please one good Russian word "Scheiße".

Use please one good Russian word "Scheiße".

Russian?? Its German 😉

And I know why I dislike that streaming annoyance - most of the time I click on of those animations, I get this error:

I feel confirmed.

Werner Exinger написал(а):

Use please one good Russian word "Scheiße".

Russian?? Its German 😉

And I know why I dislike that streaming annoyance - most of the time I click on of those animations, I get this error:

I feel confirmed.

I do refresh!

And second.

This word (шайзе) now is a russian word too. Like бутерброд or фриштик or парикмахерская etc

> бутерброд or фриштик or парикмахерская

Google translate was not of much help here, but I guess I recognize "Butterbrot", Frühstück" and "Perückenmacher", right?

Werner Exinger написал(а):

> бутерброд or фриштик or парикмахерская

Google translate was not of much help here, but I guess I recognize "Butterbrot", Frühstück" and "Perückenmacher", right?

Right!

But парикмахерская is Friseurgeschäft

We say "ein Butterbrot mit wurst, mit butter, mit kaese" etc.

Werner Exinger написал(а):

You demanded

> a • b • c = const

and as it was quite easy to change the sheet with the constant sum to provide a constant product, so here it is.

Animation

Video Link : 7020

Mathematica has only 4 curves - see please Wolfram Demonstrations Project

Mathcad - seven!

There are so many other possibilities and ways to define that kind of curves, but there may be a sense and deeper reason why Wolfram is limiting itself to the four basic operations and is not using other functions like exp or ln.

Werner Exinger написал(а):

There are so many other possibilities and ways to define that kind of curves, but there may be a sense and deeper reason why Wolfram is limiting itself to the four basic operations and is not using other functions like exp or ln.

But perhaps Wolfram does not have the great imagination as we have

One more curve

mod

Video Link : 7309

The journal Cloud of Science with the article in attach.

Seven computational curves or Apollonian bicycle

Valery F. Ochkov, Alvaro Diaz Falconi

(Some words in it about W. Exinger)

Pouvons nous representer en Mathcad l'ensemble des Julia z --> carre(z) + 0,25 ?

Can we graph in Mathcad the set of Julia z---> z^2 +0.25 ?

Like in : Dimensions / episode 7, min 7:42 ?

Best regards, Liv.

Werner_E
25-Diamond I
(To:Liv)

> Can we graph in Mathcad the set of Julia z---> z^2 +0.25 ?

Sure!

If you search the forum or the net you should find some nice examples how to create pictures of Julia- and Mandelbrot sets.

Here are just examples for 2 different approaches:

http://www.adeptscience.co.uk/products/mathsim/mathcad/fractals-in-mathcad.html   (see at the end for a link to the Julia worksheet)

http://ocw.nctu.edu.tw/upload/classbfs120905452520455.pdf

Maybe worth opening a new question/thread if you already tried and experienced difficulties.

Liv
7-Bedrock
7-Bedrock
(To:Werner_E)

Right ! Should have looked for !

Great hint & docs. I'll study them.

Not tried, yet. Much more trivial tasks in Mathcad for the moment.

Many thanks, Liv.

(thanks to Samir Khan 689, too, for that Mcd worksheet)

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