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) scaricato 1893 volta(e).

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

Circular Polygon.sm (20,93 KiB) scaricato 1238 volta(e).

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) scaricato 1167 volta(e).
Maths Polygon Intersection Pentastar.sm (35,97 KiB) scaricato 1176 volta(e).

Wrote

For your interest: Intersection Pentastar.

...labels added, superb for publishing.

Maths Polygon Intersection Pentastar.sm (47,19 KiB) scaricato 1166 volta(e).

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) scaricato 1295 volta(e).

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) scaricato 1295 volta(e).

Very nice.