Unions, Differences, etc.

SharkD shared this idea 2 months ago

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I think it would be great if GeoGebra could create unions, intersections and differences of various shapes, such as curves, polygons, etc.

Thanks.

I like this idea

Comments (5)

Simona Riva ● 2 months ago

Every GeoGebra object has an algebraic representation, so I think that a general command is not applicable, because of the possible reciprocal positions of an object with respect to another. You can group objects in lists, if you need union.

About intersection and difference, in some selected cases there already are commands:

https://wiki.geogebra.org/e... (see 3D options,too)

https://wiki.geogebra.org/e...

I think that - if you don't know it - you might like IntersectPath ;)

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SharkD ● 2 months ago

Are there examples online? The wiki is very terse/minimalistic.

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Simona Riva ● 2 months ago

: ) it needs to be like this - KISS - We can't add an example for every single user need...

I guess that you should search in our materials platform, there are millions of resources there

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SharkD ● 2 months ago

Okay, it looks like some of the commands you listed work very well for polygons. But I wish they worked for other curves (especially arcs and sectors) as well. Also, most of these commands only generate points. I can intersect two ellipses, for instance. But only the points are plotted, not the region formed by the intersection/difference. This was kind of the point of my original idea post.

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rami ● 2 months ago

Inequalities:

Only for coloring combinations (∧ and ∨) of conics, lines (equations) and functions (and using in combination with ClosestPointRegion(), PointIn(), IsInRegion(), {Vertex()} but not Area, Border, Locus...)

(maybe better than nothing)

Sample tested with GGB 5.0.541 and GGB 6.0.535

Files: Inequalities03....

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