Divide Surface (Closed Curve) into Equal area into 3x3 Grid

[Changjin_Kweon]

Closed Crv.3dm (28.6 KB)

Hello,
I have identified a specific piece of land for research purposes and would like to divide it into a 3x3 grid of equal areas. However, the shape of the land is irregular, making it difficult to achieve equal areas manually.

I attempted to use Galapagos for this task, but it didn’t work as expected. If anyone could assist me in achieving this or guide me through the process, I would greatly appreciate it.

Thank you!

[laurent_delrieu]

Hello
welcome to this forum. Your question is quite clear but did you already search in the examples given here ? There are many examples.
For example you can search using google and these keywords

You will see that there are an infinity of solutions.
When you say 3x3 grid I think you can first divide the horizontal in 3 equal parts, then divide each part vertical in 3.

[Changjin_Kweon]

Hello,
thank you for reply,
I checked all the informations above.
And I tried but I am having difficulty on implying on 3x3 grid.

[11159 (Masaki)]

Divide surface into two equal areas

Hi @janis.goldmanis, You can use the evolutionary solver Galapagos that comes with Grasshopper to attack these kind of tasks. Be warned though, there might not always be a situation where the areas of both cross sections are exactly equal. [Screenshot 2020-04-04 at 13.27.38] I this case it optimises the fitness value to be as close as possible to 0.0. I also invite you to study this carefully, especially part 3. galapagos.gh (13.1 KB)

[laurent_delrieu]

Hello
or you didn’t really search or what you are after is not clear. Here what I did reusing an example given on the forum

Divide into 115 pieces and 6 different sizes

Yes it is possible there are many strategies. Division with lines using Galapagos for example or making some some division in one axis then in one other … and many mores surely. Search on old forum … Here a solution but there are many other. In the simple way it divided the surface just with one axis, so it slices it. The you can resubdivide it. [image] The idea is to first mesure the surface of slices with equal distribution. The use these surfaces to calculale the good interval for cons…

BUT if you want just 4 lines (2 parallel), I think it is impossible.

This link could also be interesting

Is there a way to divide land plots equally in grasshopper?

Keeping the boundary is simply a matter of adding another goal for this: plot_area2.gh (18.0 KB) [image] Solving a problem like this with Galapagos is a bit like throwing darts at a board, it might solve it to within 5% or so if you wait a few minutes (and as you scale the number of plots this will get much worse), instead of just following the gradient and getting a solution to within 0.0001% in a few milliseconds. Evolutionary solvers are fantastic for some types of problem, where there ar…