Seven math curves

Why be content with seven when you can have eleven or more ?

As it looks you like playing around with that kind of curves and also have the time doing so, her some additional ideas.

Stay with simple sum and used weighted distances. Something like two "focal" points 2a+3b=const when a and b are the distances from the "focals".

Or use more than one focal point. What about a curve, where the sum of the distances from three points is constant.

Regards

WE

Werner Exinger написал(а): And here is the (IMHO less interesting) animation showing the distances:

Animation

Video Link : 7022

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

> 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.