Looking for the common name of this Fillomino variant

[nanatsuki]

Hello,

I'm a solo developer making puzzle games.
Recently, I made a small browser puzzle based on Fillomino-style rules. For now, I'm calling it "Ray Fillomino."
The basic idea is similar to Fillomino: you create regions whose sizes match the given numbers. The difference is that each region can only extend in a straight line vertically or horizontally from its numbered cell.
I'm not sure whether this type of rule already has a commonly used name in the puzzle community, so I'd be very interested to know if anyone recognizes it or knows of a similar existing puzzle.

I've also published a small set of 20 relatively easy puzzles on itch.io that can be played directly in the browser:
https://nanatsuki26.itch.io/ray-fillomino

If you try it, I'd also be very happy to hear any thoughts on how clear the rules are or how the puzzle feels to solve.

[uvo]

Four Winds (Vier Winde). Here is an example puzzle.

[uvo]

Note: This isn't really related to Fillomino at all. A major condition in Fillomino, which isn't present here, is that regions of the same size are not adjacent to each other.

[nanatsuki]

Thanks! Four Winds / Vier Winde was exactly what I was looking for, and thanks as well for pointing out my misunderstanding about Fillomino.
I’ve updated the name and description on the itch.io page accordingly.

I also really appreciate the example puzzle you shared — it was very helpful to see a good Four Winds puzzle in practice.
Inspired by that, I’ve added a few more challenging puzzles to the itch.io version as well.