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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