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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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #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.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #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.

Imagine for a moment that even an earthworm may possess a love of self and a love of others.

## #5 2012-01-30 08:56:26

benice
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### 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.

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.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #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.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #11 2013-04-21 03:18:27

Mrwhy
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### Re: [Fractal Spirograph] Fractal Roulette

#### benice wrote:

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