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 KiB) downloaded 1501 time(s).

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

Circular Polygon.sm (20.93 KiB) downloaded 918 time(s).

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 KiB) downloaded 871 time(s).
Maths Polygon Intersection Pentastar.sm (35.97 KiB) downloaded 887 time(s).

Wrote

For your interest: Intersection Pentastar.

...labels added, superb for publishing.

Maths Polygon Intersection Pentastar.sm (47.19 KiB) downloaded 890 time(s).

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 KiB) downloaded 996 time(s).

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 KiB) downloaded 996 time(s).

Very nice.