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Ljapunow Fractal

35pieces
16comments
150solves
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SMor2Ditto

It's a 'Pearler', is another expression like 'Bobby Dazzler'... Hence Perla Dazzlero... Mangling words, I just can't help myself... Sorry I didn't get back to you sooner.... Hugs.... :) :)

JuliaMandelbrot

Roberto Dazzlero... yes, I 've met Bobby myself. Back,then there was no Perla. .... where on earth,did;you come up with that name? .... Ahhhhh, ... Oz! .... :-)))

JuliaMandelbrot

Lol! So they kidnapped poor Ljapunow! ......now, THAT'S a worry!

SMor2Ditto

Right!!!!!!!!!!!!!!!! We will have some lovely discussions, Good Buddy... Oh dear, I thought the ink flow stability in signatures was a Dept of Treasury top secret item.... When I worked there, it was mum's the word.... The would be counterfeiters were totally flummoxed... Until they kidnapped Ljapunow and now everyone knows the secret.... It's a worry.... :) :)

We meet Roberto Dazzlero when we were passing through NM... Nice bloke... He had a charming wife, Perla Dazzlero... Fun couple.... :) :)

JuliaMandelbrot

Ah, so you know Robert Dazzler personally as does Sally! Perhaps, I, too, should call him " Bobby ", lol! I'm glad you like the colors and think it is a fine puzzle. I think fractals have been fun for both of us! You are very welcome, dear Shirley!

JuliaMandelbrot

Do what??....Ahem, I mean, of course this is within my mathematical capabilities. Did you know the computations of the Ljapunow fractal are used to determine the authenticity of a signature? It determines the stability of the flow of ink in the signature. One that is counterfeit does not have the continual flow but displays a measurable discrepancy (chaotic).Quite useful, the Ljapunow fractal! When we finally meet, we'll be able to sit and discuss this at length..........rightttttttt!
I am so glad you think this is a real Robert Dazzler ( I don't know him well enough to use his nickname. I don't think he lives in this Hemisphere). Most welcome, dear one!!

JuliaMandelbrot

Lol, a Mickey ears fractal... I like that, Robyn! It pleases me that you that you think this one is beautiful. I'm really glad you enjoyed it! You are very welcome, my friend... :-)

JuliaMandelbrot

Why, thank you, my enthusiastic friend! I'm glad you liked the color and texture! I can't take credit for putting the Mickey ears in the image. They evolved as the fractal was being made. However, I did think they gave a humorous touch to the final image! Thanks, Kirsten!

shirley68

Jill, I think our Sally has said it all, yes I agree it's a Bobby Dazzler, love the colours too, a very fine puzzle, Thanks Jill.

SMor2Ditto

You do have a degree in higher mathematics, right????? Figuring out how to construct a fractal by mapping the regions of stability and chaotic behavior (measured using the Ljapunov exponent \lambda) in the a?b plane for given periodic sequences is nothing but phenomenal.... And the way you've shifted the iteration sequence.... Wow!!... Good Buddy, you're a genius.... :) :)

And yes, indeedy do... The purple is pretty fantastic, a real Bobby Dazzler.... Thanks Jillia.... :) :)

roerick3

I'm so glad someone else saw the Mickey ears too. But I think your Mickey ears fractal is very beautiful. I don't know how to turn Mickey ears into anything this gorgeous. Thanks for sharing.

RandomWorship

Oh my Jill!! That is SO beautiful!! The colours and textures are AMAZING!! Thanks so much. :)))

And I love your sense of humour. Only YOU would put a set of Mickey ears on a fractal!! Hee, hee.

JuliaMandelbrot

I'm glad you found it to be interesting, KARLS! Thankyou for letting me know

JuliaMandelbrot

Thank you, loveydear. I appreciate your comment,

KARLS

VERY INTERESTING!

loveydear

I like your creation J M!

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