# Tagged Questions

Questions about functionality that defines or operates on regions (i.e., an open, connected set), including geometric, mesh-based, or data and formula-defined regions.

38 views

### Show multiple RegionPlot3D Plots and with certain points rendered

I have the following problem. I have defined several 3D regions through RegionPlot3D. Now I want to add points. But somehow the points are not displayed correctly, ...
46 views

### RegionPlot with rank constraint

I am trying to plot the feasible region of a rank constrained semidefinite program shown below: The Mathematica code that I am using is the following: ...
89 views

### RegionPlot Failing on my System

I am running Mathematica 10.4.1.0 on a MacBook Pro OSX 10.11.5. I opened the documentation for TransformedRegion, went to this example in Scope, Formula Regions. When I open this particular ...
252 views

### Is it necessary to introduce ImplicitRegion and ParametricRegion in version 10?

In version 10.0, Mathematica introduced a new function about region plotting: ImplicitRegion. But I'm wondered that haven't this function been already existed in the older version? That is, ...
44 views

### TransformedRegion and RegionPlot

I encountered an issue using RegionPlot together with rotated regions. Notice how as long as one drags a slider in this simple ...
36 views

### Inconsistent behavior from RegionMeasure on the RegionIntersection between a Polygon and a Line

Consider a Polygon with lines drawn between two of its vertices, ...
121 views

### Create a filled ListPlot, where the points in the list come from within the regions rather than from the region boundaries

Is it possible to fill, color, under the points in ListPlot where the points define the area and the boundary? Assuming that the number of points are large enough ...
117 views

### Defining a region from combination of data and geometric region

I would like to define a region in (x,y) by combining the region RegionPlot[ ImplicitRegion[ Sqrt[x^2 + y^2] <= 0.99, {{x, 0.01, 0.99}, {y, 0.01, 0.99}}]] ...
195 views

### RegionIntersection puzzle

I am using RegionIntersection[] to intersect two rectangles, phrased as Polygon[]s: ...
83 views

### Selecting and plotting points belonging to a region from a random sample

I'm facing a problem with RandomReal when using ListPlot to plot some constrained points. I found that at every run of MA kernel ...
72 views

### How-to derive conical region in an arbitrary geometry?

Description I have been working with derived geometric regions and ran into a problem when deriving RegionIntersection of a Cone...
57 views

### Disobedient RegionPlot3D

I faced a strange behavior of a RegionPlot3D. I am drawing a piece of a plane bounded by a parabola. This works: ...
81 views

### How to apply DiscretizeGraphics to a tube?

I want to export the numerical solution of the Chan-Lee oscillator as an STL file so that I could print it out. But when I expanded the curve into a tube, ...
119 views

### The unexpected behavior of region calculate

In my this answer,I get some overlapped disk like this placed with red arrow point out But actually that function of diskMake is designed to produce ...
339 views

### Join Two Element Meshes

Let's say I have two element meshes defined as the following: ...
74 views

### Issue formulating RegionPlot3D to visualize RegionIntersection

Description I am looking to visualize gas cloud growth within custom modules. For demonstration purpose, it is assumed gas cloud takes a spherical shape whilst module is defined using a ...
61 views

### RegionPlot error

I'm trying to represent the following table using the command regionplot. The rectangle (0,0), (0.5,0), (0,1),(0.5,1) should be covered, however it is not. Does anyone know what the problem is? Thank ...
113 views

### Find coordinate {x, y, z} where two functions are minimal

I am trying to find a point in a ListPointPlot where the total RegionDistance is minimal AND the total differences of the <...
261 views

58 views

### Why is MeshRegion atomic?

I wanted to make some changes inside a MeshRegion today and found that unlike Graphics objects, it can't be done directly ...
51 views

### Region traced by the endpoints of all vectors given by a parametric expression [closed]

I have the expression of a vector e, with 3 parameters tt1 tt2 and tt3: ...
60 views

### Minimize with Interval restriction

If for instance I have a problem of this sort: ...
108 views

### 1D ImplictRegion can not be plotted with RegionPlot

I am using Mathematica 10.4 In the documantion page of ImplicitRegion, there is an example ...
116 views

### RegionPlot with LogScale

I would like to have my RegionPlot with logarithmic scale in x and y. My code looks like ...
97 views

### How to remove parts of a curve?

I have a curve that have some unwanted parts. How can I remove them ? Or how to constraint the curve to a specific region ? Here's a MWE that shows the problem : ...
138 views

### How to assign Element marker at boundary edges

How to assign marker at the boundary edges as 1, 2, 3, 4 respectively and set all of the inside elements of region as 0? for example: Code: ...
48 views

### Simplify Expressions used to define Region

For example, RegionPlot[{x + y > 1, x - y > 1, y - x > 1, -x - y > 1}, {x, -2, 2}, {y, -2, 2}] can be somehow written as: ...
174 views

### Bug in RegionMember?

Bug persisting through 10.4.1 RegionMember (new in V10) appears to have a bug. For some polygons it finds points that are clearly outside to be "members" of the ...
82 views

### Defining a MeshRegion from a list of points and Polygons with duplicate points does not work in 10.4

Bug introduced in 10.4 and persists through 10.4.1 This code produces a MeshRegion in versions 10.0 through 10.3.1, ...
107 views

### Is this a bug in DiscretizeRegion in 10.4?

Bug introduced in 10.4 and persists through 10.4.1 Consider the following implicit region: ...
80 views

### DiscretizeRegion does not include the boundary specified in ImplicitRegion (10.1)

I am trying to do some 3D PDE solving, and I keep running into problems with boundary conditions because my meshed boundaries are not what I expected. For example, the following code ...
70 views

### DiscretizeRegion fails for a triangular region

I define an implicit region like R = ImplicitRegion[ 0 < Sin[u]/Cos[v] < 1 && 0 < Sin[v]/Cos[u] < 1, {{u, 0, 2}, {v, 0, 2}}] But when I ...
163 views

### How to create a surface mesh embedded in 3D?

I am working on a problem where I want to optimize current densities on 2D surfaces embedded in 3D to generate magnetic fields. The current density on a surface can be written as a scalar function ...
55 views

### Confused about the behavior of the properties of Regions

Actually we can get some information in here.But I'm confuse this phenomenon still: test = ConvexHullMesh[RandomReal[1, {7, 2}]] ...
153 views

### How to improve accuracy of NIntegrate over ImplicitRegion

I'm trying to compute the area of a implicit region given as ...
25 views

### Problem with unbounded implicit region over integers

I have a region specified implicitly, and want to find the region bounds, however there are some problems when the region is defined over the integers and it is an unbounded region. This unbounded ...
38 views

### Can I convert a 2D Region embedded in 3D into a 3D region, filling in the shell? [duplicate]

Here's a simple example, where there are built-in functions to describe both objects. {shell, ball} = DiscretizeGraphics /@ {Sphere[], Ball[]} The first of ...
90 views

### What is a robust way to determine if two polygons overlap? Possible bug in RegionIntersection or Area

When trying to determine if two polygon objects overlap, I think the intuitive way to do this would be to use the RegionIntersection function to find the ...
151 views

### How to convert a graph to a mesh region

As we know,the region is very convenient in Mathematica.And we can convert a MeshRegion into graph like this ...
81 views

### How to color the exterior of a region in a RegionPlot?

One can color the interior of a region by ColorFunction. But how to color the exterior of a region of a RegionPlot (I want to ...
162 views

### RegionNearest and neighborhoods

In this previous question we see that RegionNearest isn't quite as 'capable' as Nearest for some things. Similarly, I need to ...
527 views

### Find the volume of Phobos and Deimos

How can we calculate the volume of a 3D object using the new-in-10 computational geometry functions? For simple objects this works: ...
1k views

### Rounding the Corners of a Shape

I was wondering whether there is an option in Mathematica that enables me to smooth the corners of a shape. The example I want to start with is the pentagon. This can be crudely specified as ...
85 views

### How to do a ParametricPlot within a subregion

I currently have the following parametric plot. ParametricPlot[{(b - a) x/b + a x/r, (b - a) y/b + a y/r} /. {a -> 2, b -> 3}, {x, -4, 4}, {y, -4, 4}] ...