regarding Integer co-ordinates within a circle got a nice link :
http://mathworld.wolfram.com/GausssCircleProblem.html
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@DaveA: thanks for pointing it out.
For a origin-centre circle x**2 + y**2 = r**2, I assumed r to be integer,
however it was r**2 which was integer. A mistake on my part.
On Mon, Nov 16, 2009 at 6:41 AM, Dave Angel wrote:
> spir wrote:
>
>> Le Sun, 15 Nov 2009 09:11:16 +0530,
>> Shashwat Anand
spir wrote:
Le Sun, 15 Nov 2009 09:11:16 +0530,
Shashwat Anand s'exprima ainsi:
No, I'm trying to find all integer co-ordinates which lies on a circle.
Say for a circle of radius 5 the co-ordinates are [(5, 0), (0, 5), (-5, 0),
(0, -5), (3, 4), (4,3), (3, -4), (4, -3), (-3,
4), (-4
Le Sun, 15 Nov 2009 09:11:16 +0530,
Shashwat Anand s'exprima ainsi:
> > No, I'm trying to find all integer co-ordinates which lies on a circle.
> Say for a circle of radius 5 the co-ordinates are [(5, 0), (0, 5), (-5, 0),
> (0, -5), (3, 4), (4,3), (3, -4), (4, -3), (-3,
> 4), (-4, 3), (-3, -4),
Shashwat Anand wrote:
> How to find all possible integer co-ordinates lying on a circle of
given radius 'r'.
> If given the upper bound of 'r', I want to calculate all given
co-ordinates lying for 0 <= r <= n
>
> Let's say the upper bound of radius is 5
> All possible results are:
> radius 'r'
Shashwat Anand wrote:
Your "all possible results" isn't even close to all the points that match
the 0<= r <= 5. And I don't know how either spec justifies the set logic
you quoted.
So I have to start over. I think you're trying to find all integer
co-ordinates which lie on or within
>
> Your "all possible results" isn't even close to all the points that match
> the 0<= r <= 5. And I don't know how either spec justifies the set logic
> you quoted.
>
> So I have to start over. I think you're trying to find all integer
> co-ordinates which lie on or within a circle of given ra
Shashwat Anand wrote:
How to find all possible integer co-ordinates lying on a circle of given
radius 'r'.
If given the upper bound of 'r', I want to calculate all given co-ordinates
lying for 0 <= r <= n
Let's say the upper bound of radius is 5
All possible results are:
radius 'r' - (x, y)
0
How to find all possible integer co-ordinates lying on a circle of given
radius 'r'.
If given the upper bound of 'r', I want to calculate all given co-ordinates
lying for 0 <= r <= n
Let's say the upper bound of radius is 5
All possible results are:
radius 'r' - (x, y)
0 - (0, 0)
1 - (1, 0), (0, 1