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

benice
Member
Registered: 2010-06-10
Posts: 112
Website

[Fractal Spirograph] Fractal Roulette

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,658

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

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,672

Re: [Fractal Spirograph] Fractal Roulette

It is! Excellent job!


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,576

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: 112
Website

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.

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,672

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 agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

benice
Member
Registered: 2010-06-10
Posts: 112
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: 112
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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,672

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 agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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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 thankswave

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