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#1 2012-01-28 06:26:49

benice
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[Fractal Spirograph] Fractal Roulette


My Gallery of Math Art: benice equation
 

#2 2012-01-28 07:04:13

anonimnystefy
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Re: [Fractal Spirograph] Fractal Roulette

it reminds me of the mandelbrot set.nice work benice!!!

btw,i have some ideas for you.see if this can be somehow used:Roulette


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#3 2012-01-28 07:04:45

bobbym
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Re: [Fractal Spirograph] Fractal Roulette

It is! Excellent job!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#4 2012-01-28 14:39:44

John E. Franklin
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Re: [Fractal Spirograph] Fractal Roulette

What are the ratios between the circles?  I see the five pointed star.


igloo myrtilles fourmis
 

#5 2012-01-30 08:56:26

benice
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Re: [Fractal Spirograph] Fractal Roulette

Hi anonimnystefy,

Thanks for the link.


Hi bobbym,

You're welcome.


Hi John,

John E. Franklin wrote:

What are the ratios between the circles?

The ratios used in the eight animated GIFs on my blog post are
3, 3, 2, 2, 2, 2, 2.5, and 2.75 respectively.


My Gallery of Math Art: benice equation
 

#6 2012-01-30 10:34:30

bobbym
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Re: [Fractal Spirograph] Fractal Roulette

Hi benice;

You are welcome, keep up the good work.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#7 2012-02-02 07:30:48

benice
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Re: [Fractal Spirograph] Fractal Roulette

Hi All,

A few images of successive zooming in have been added in the original post.


My Gallery of Math Art: benice equation
 

#8 2012-07-03 21:29:55

Mrwhy
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Re: [Fractal Spirograph] Fractal Roulette

Great Stuff!

Can you add a way to halt the drawing so we can see how the wiggles are formed (the "stars" for example.

Did you find the wheel ratios by trial and error?

 

#9 2012-07-23 21:23:07

benice
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Re: [Fractal Spirograph] Fractal Roulette

Mrwhy wrote:

Can you add a way to halt the drawing so we can see how the wiggles are formed.

The animations are animated GIFs (not Flash videos).
Use a GIF animation software to see the static frame images.

Mrwhy wrote:

Did you find the wheel ratios by trial and error?

Yes.


My Gallery of Math Art: benice equation
 

#10 2012-07-24 13:09:38

bobbym
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Re: [Fractal Spirograph] Fractal Roulette

Hi benice;

The one that consists of blue hexagons is a nice one!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#11 2013-04-21 03:18:27

Mrwhy
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Re: [Fractal Spirograph] Fractal Roulette

Please explain what is going on here
The big circle is fixed?
The mid-size circle ROLLS on it without slipping?
OR
Is attached to it at a fixed point - while the big circle rotates

The small circle rolls on the mid-size circle? At what rate?
OR
The small circle is attached fixedly to the mid-size circle (which spins?)
OR
The small circle spins - at what rate?

The pen is attached to a fixed point
ON the small circle
OR
Within the small circle
Or rotates around the circumpherence of the small circle - at what rate?

Many thankswave

 

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