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## #1 2012-01-27 07:26:49

benice
Member
Registered: 2010-06-10
Posts: 114
Website

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## #2 2012-01-27 08:04:13

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,018

### 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

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #3 2012-01-27 08:04:45

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### Re: [Fractal Spirograph] Fractal Roulette

It is! Excellent job!

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #4 2012-01-27 15:39:44

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

### Re: [Fractal Spirograph] Fractal Roulette

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

igloo myrtilles fourmis

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## #5 2012-01-29 09:56:26

benice
Member
Registered: 2010-06-10
Posts: 114
Website

### Re: [Fractal Spirograph] Fractal Roulette

Hi anonimnystefy,

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.

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## #6 2012-01-29 11:34:30

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### 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.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #7 2012-02-01 08:30:48

benice
Member
Registered: 2010-06-10
Posts: 114
Website

### Re: [Fractal Spirograph] Fractal Roulette

Hi All,

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

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## #8 2012-07-02 23:29:55

Mrwhy
Member
Registered: 2012-07-02
Posts: 52

### 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?

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## #9 2012-07-22 23:23:07

benice
Member
Registered: 2010-06-10
Posts: 114
Website

### 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.

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## #10 2012-07-23 15:09:38

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,380

### 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.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #11 2013-04-20 05:18:27

Mrwhy
Member
Registered: 2012-07-02
Posts: 52

### 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 thanks

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