Hi everyone,
I'm looking for suggestions to find the intersection of two polygons and hatch the result.

The most particular case concerns the hatching of a part of polygon intersected by a straight line.

I know some basic of X-Y plot to draw a polygon...

Perhaps the GPC (general polygon clipping library) wrapper plugin might help. The basics are described in section G.3 of the german handbook.

You also might have a look at the hatch and fill snippet.


GPC.sm (6,8 КиБ) скачан 1154 раз(а).

Otherwise, piece wise from native Smath ... just demo.

Circular Polygon.sm (20,93 КиБ) скачан 664 раз(а).

Hi. Maybe you also can check this discussion: https://en.smath.com/forum/yaf_postst11405_Line-intersections.aspx

Best regards.
Alvaro.

IMHO, I don't see much interest for polygon intersection.
For your interest: Intersection Pentastar.

Maths Polygon Solve Intersection.sm (21,94 КиБ) скачан 644 раз(а).
Maths Polygon Intersection Pentastar.sm (35,97 КиБ) скачан 652 раз(а).

Wrote

For your interest: Intersection Pentastar.

...labels added, superb for publishing.

Maths Polygon Intersection Pentastar.sm (47,19 КиБ) скачан 645 раз(а).

thank you all, I will do some application

Question:

How would you then calculate / determine the length of the clipped line?
Interested for tension and shear lengths in unusual shapes

... refreshed/generalized/augmented [A, P, CG]

2D Plot Setup Critical Polygon Intersection.sm (31,89 КиБ) скачан 723 раз(а).

Wrote

How would you then calculate / determine the length of the clipped line?
Interested for tension and shear lengths in unusual shapes

From the attached Smath document.

Wrote

Question:

How would you then calculate / determine the length of the clipped line?
Interested for tension and shear lengths in unusual shapes

From coords, using Pitagora's theorem

Wrote

... refreshed/generalized/augmented [A, P, CG]

2D Plot Setup Critical Polygon Intersection.sm (31,89 КиБ) скачан 723 раз(а).

Very nice.