- Hi qntmpkt,

Thanks very much for drawing these Cartesian cuvature

numbers to our attention. I find this extremely interesting.

As you suggested, I found the Science News article in Google.

The link is here:

http://www.sciencenews.org/20010421/bob18.asp

> It appears that the "Number Spiral" is the appropriate

Can you describe in a little more detail how you would make

> format for further investigation in resolving the question with

> (perhaps) a plot grouping together 3 of the 4 tangential circles, but

> not necessarily the innermost circle.

a plot on the number spiral that corresponds to the packed

circles?

Best regards,

Rob

----- Original Message -----

From: <qntmpkt@...>

To: <primenumbers@yahoogroups.com>

Sent: Sunday, March 02, 2003 11:51 PM

Subject: [PrimeNumbers] Number Spiral

> Re: the numbers generated using the number spiral strategy, at

> http://www.numberspiral.com ...the terms in each series having the

> 2, - Hello,

The relationship between the Spiral and the Apollonian Circles

is amazing and intimate!

I've written something up on it here

http://www.imathination.net/APPVeins.htm

Regards,

-Dick

--- In primenumbers@yahoogroups.com, "Rob Sacks" <editor@r...> wrote:

> Hi qntmpkt,

>

> Thanks very much for drawing these Cartesian cuvature

> numbers to our attention. I find this extremely interesting.

> As you suggested, I found the Science News article in Google.

> The link is here:

>

> http://www.sciencenews.org/20010421/bob18.asp

>

> > It appears that the "Number Spiral" is the appropriate

> > format for further investigation in resolving the question with

> > (perhaps) a plot grouping together 3 of the 4 tangential circles,

but

> > not necessarily the innermost circle.

>

> Can you describe in a little more detail how you would make

> a plot on the number spiral that corresponds to the packed

> circles?

>

> Best regards,

>

> Rob

>

> ----- Original Message -----

> From: <qntmpkt@y...>

> To: <primenumbers@yahoogroups.com>

> Sent: Sunday, March 02, 2003 11:51 PM

> Subject: [PrimeNumbers] Number Spiral

>

>

> > Re: the numbers generated using the number spiral strategy, at

> > http://www.numberspiral.com ...the terms in each series having

the

> > 2,