How do i plot equal size of circle in square(100*100 m^2) without overlapping?

I have a square with L=100 and W=100, as well as a circle with a fixed diameter.

Without overlapping, i have to fill this square with the circle.

(All circles must be the same size and fit within the given square range.)

Answer 1

[Image Analyst]

Click on the "circle packing" tag on the right. This has been asked many times and there are several solutions with slight variations. Write back if you still need help.

[Manisha Kumari]

Hi,

Thanks for your reply.

actually I saw the circular packing tag, but all of the solutions are about unequal circles. I need to draw an equal-sized circle within a square range.

[Image Analyst]

So if they're using varying size radii, you just use a constant radius. Not sure why that would be a major hurdle.

[Manisha Kumari]

Hi,

I need to fit 100 circles of the same radius inside a 100*100 m2 square area without overlapping them. The circle packing tag does not provide me with the correct solution. Could you please assist me with this?

Thank you.

Answer 2

[Jan]

This is an extremly challeging task. See

• https://en.wikipedia.org/wiki/Circle_packing
• https://en.wikipedia.org/wiki/Circle_packing_in_a_square

Is this a homework for pupils or a PhD?

[Manisha Kumari]

Thanks for your reply

It's for M.Tech research work.

[Image Analyst]

@Manisha Kumari, OK, I assume since circle packing is nothing "new to the world" and you don't need to invent it as the main part of your thesis, that you can borrow existing circle packing code. So did you follow my suggestion to click on the tag? If not, why not?