Division of a rectangle starting from a defined point inside the rectangle

Hi everyone, I'm trying to divide a rectangle into n equal parts but starting from a defined point inside the rectangle. I have been able to divide it into n parts but now I want to do the same thing but starting from a point inside the rectangle. Thanks for your help.

[Walter Roberson]

Are the equal parts required to be rectangular themselves? Are they required to be convex? Are they required to be identical?

When you say that it starts at a defined point, does that mean that the point just has to be on an edge of one of the pieces, or that it has to be one of the vertices?

[Omar Shadeed]

The equal parts have to be identical in the area with no other restrictions. That defined point has to be one of the vertices yeah

[Walter Roberson]

Do you need this as a theoretical division (continuous coordinates) or as an approximate division of a raster rectangle (each whole pixel belonging to one of the pieces, as equal as practical taking into account that the area might not be exactly divisible by n) ?

The raster version is perhaps easier to implement.

Ah, I just thought of a way for continuous coordinate: make the designated point the vertex around which you create "wedges" of the rectangle, each 1/n'th of the area. This would require a bit of care for the case where the wedge has to include a corner... I think it just might be possible that in some cases the wedge has to include two corners.

[Omar Shadeed]

I want it as an approximate division of a raster rectangle. The main thing is that these areas have to be equal to each other.

[Walter Roberson]

Do diagonal connections count as being part of the same piece, or does it have to be 4-connection (left/right/top/bottom) ?

[Omar Shadeed]

It has to be 4 connection

[Image Analyst]

Like I said below, why can't you use linspace()?

Answer 1

[Image Analyst]

Sounds like you can use linspace().