It's important to remember i don't expect a perfect circle. Perhaps my terminology is weak, i mean a ring of circles

http://andreas.rayon.no/temp/circleOfCircles.png

- A

Ron Wheeler wrote:
These circles will overlap each other.

If this is not what you want, then Charles is right. It is not possible to do what Andreas seems to be describing.

Perhaps Andreas should draw a picture by hand of what he actually wants this to look like.

Ron

Ron Wheeler wrote:
From what is said, is it true that you want to take a large circle, divide it up into a random number of pie shaped slices and then use the outer edges of the pies as diameters of smaller circles so that when the smaller circles are drawn, they form a circle of circles.

If so you need to decide how to break 360 degrees up into a number of angles. Start at the 0 point (wherever you want the start to be) and find the intersection a line drawn from the center of the circle to the edge and then do the same for the next radius. The 2 points form the diameter of the first small circle. The small circle's radius is half the distance between the points and the centre of the small circle is at the midpoint between these 2 points. Do this for each pair of radius lines and you will have a circle of circles.

Ron


Andreas R wrote:
To reiterate, there can be *any* number of circles of *any* size. The aim is to create a circular chain of circles where the overall diameter is a result of the circumference of the chain.

Alias™ wrote:
And does the number of circles vary? Will it always be the same number?

On 17/09/06, Andreas R <[EMAIL PROTECTED]> wrote:

The circles can be any size.

Alias™ wrote:
> Ok, are the circles all the same size, or do they have the same length?
>
> Alias
>
> On 17/09/06, Andreas R <[EMAIL PROTECTED]> wrote:
>>
>> smart people, help a less smart one out:
>>
>> I'm faced with a problem similar to the seven circles theorem
>> (http://mathworld.wolfram.com/SevenCirclesTheorem.html) in that i need >> to arrange x number of circles along a circular path, making sure they >> all touch their two neighbors. In this way, the path's radius is NOT
>> given, but is rather made up from the sum of all the circles'
diametres.
>>
>> I've boiled the problem down to this: I have a line of x length with y >> number of segments of nonuniform length. I know the final length of the
>> line because i know the length of each individual segment.
>>
>> Now, i need to "bend" this line so that the end of the final segment >> touches on the beginning of the first one. As such, each segment must
be
>> given an angle somehow based on the overall amount of segments and
their
>> individual lengths.
>>
>> Beyond this, i'm stumped. I've been pouring over mathworld and google
>> looking for such bendyness, and i've come up empty handed.
>>
>> Anyone have suggestions, possible solutions?
>>
>> Thanks,
>>
>> - A
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