Questions tagged [intersection]
Questions on finding intersections of geometric objects: lines, planes, regions etc. with possible aid of ContourPlot, Interval, InfinitePlane and others.
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How to find the intersection of sets A and B?
Given the set A={x|-5<x^3<5} and the set B={-3,-1,0,2,3}, how to find the intersection of sets A and B?
I tried the ...
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How to draw the boundary line of intersecting region of a ContourPlot3D and a Graphics3D?
I have mathematical expressions of a cylinder (oriented along the x-axis) and a parabola. And I can easily plot both the surfaces using ContourPlot3D as shown below.
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Strategy to speed up two polygons (or region) intersection
Basically, I want to compare the overlap between two polygons (or regions).
First, I have a reference particle ring that can form a simple polygon, but this type of ring is very thin and long, and its ...
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Conic sections: intersection of a plane and a cone. How can I change the equation of the plane to get conic sections automatically?
I tried to draw intersection of a plane and a cone.
Hyperbola
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Plot a surface between three intersecting curves using 3D data sets
I would like to plot a surface between the intersecting points of three 3-dimensional curves. The curves are created using ListLinePlot3D, from the following lists:
List1:
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How can I determine coordinates of vertex of parabola as intersection of a plane and a cone?
I want to determine the point I as vertex of the parabola that is the intersection of the plane plane = InfinitePlane[{{0, myy, 0}, {0, myy, -1}, {1, myy, -3}}]; ...
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How can I draw the intersection of a cone and a plane?
I have a cone and a plane myQ = x - 4 y + z + 4 == 0;. How can I draw the intersection of the cone and the plane myQ?
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Trying to surround the area produced by intersecting surfaces with a boundary line
With MMA 12, I have a cone & sphere in 3D, that intersect. The area where they intersect I've managed to color (yellow), but I would like to surround that area with a more prominent line of a ...
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Efficiently fill an ellipse with a k-many random ellipses
So, I can create a circle filled with circles of the same radius that gives this example picture:
with this code:
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Finding intersection points graphically
"Code used in Mathematica version 13.3.1 on a Microsoft Windows (64-bit) (July 24, 2023) system"
I used @cvgmt's code to find the intersection points from a parametric plot graphically:
<...
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Finding intersection points from ParametricPlot
"Mathematica version 13.3.1 for Microsoft Windows (64-bit) (July 24, 2023)"
I have the following Mathematica code:
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Finding intersection of two curves using mesh functions
I have the following code which finds intersection of two curves using mesh functions:
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Parametrization of intersections
How may we find (at least one real) intersection parametrizations $ x(t),y(t),z(t)$ between two implicit surfaces?
p=9;
ContourPlot3D[{x^2-y-(z-1)^2==1,(x+1)^2+2Sin[3y]-3z==4},{x,-p,p},{y,-p,p},{z,-p,...
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Speeding up RegionIntersection of multiple sets of rectangles
There is a set of disjoint rectangles shadow that change position over time.
I want to find their intersection with another set of small rectangles ...
