# Questions tagged [geometry]

Questions on the application of Mathematica to geometric problems. You might also consider adding the [graphics] tag, if appropriate.

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### Volume of solids of revolution through two equations [duplicate]

I would like to get the area formed by two equations and the volume of the solid formed by this area around the Y axis. Solve[x^2==6x-2x^2,x] {{x->0},{x->2}} <...
270 views

### Finding Vertices of a Polygonal Region

I am trying to get a vertex list for a polygonal region made from the RegionDifference of two Polygons, and I am unsure of how ...
399 views

### Find normal vector of path

I created a path: ...
335 views

### How to Export to/Import from GeoGebra?

I'd like convert geometric figures between Mathematica and GeoGebra. Does anyone know how to do that?
53 views

### Surface area of an Ellipsoid [duplicate]

How do I compute the Surface area of an Ellipsoid? I tried this piece of code but the result is wrong ...
85 views

### Need help understanding weird RegionUnion behavior

I'm trying to understand some weird behaviors of RegionUnion in a small piece of code. In particular, RegionUnion is not ...
248 views

### How to extract data points from two graphics and find the intersections between them?

I am working on a mathematical problem called "Buffon's Needle". Here is the setup I made: ...
416 views

### Constructing graph of points in 3D with edges weighted by distance

I have a set of data in $\mathbf{R}^3$ for which I want to construct a $k$-nearest-neighbors graph whose edges are weighted by the distance of each point to its neighbors. Is there a way to do this ...
97 views

### Intersection of ellipsoids with planes sometimes not working!

I am trying to find the intersection of an ellipsoid and a plane and I am getting strange results.... Sometimes it works and some others it does not. ...
62 views

### barycentric cordinates on 2d triangle [duplicate]

( I am 100% new to mathematica and I don't really understand if I am doing this correctly. I have some most code except the calculation of the color. I will do that once I know I am doing this ...
565 views

### Barycentric coordinates

I am 100% new to mathematica and I don't really understand if I am doing this correctly. I have some most code except the calculation of the color. I will do that once I know I am doing this correctly....
187 views

### Collision between a point and a square

Suppose we have a point of time laws: xP[t_] := 0.40 + 0.51 t; yP[t_] := 0.41 + 0.42 t; and a square with side: L := 2.01 ...
151 views

### Determination of radius based on data points

I have some data points: ...
702 views

### Finding the volume enclosed by two surfaces of revolution

I've come this far as to combine both functions in a graph: f = Plot[4 - x^2, {x, -10, 10}] g = Plot[-1 + 4 x, {x, -10, 10}] Show[g, f, PlotRange -> All] ...
176 views

### RegionMeasure is not accurate

I am using Mathematica 11.1.1.0, on a Mac. I have a list of 51 non-intersecting balls of radius 1. The total volume is easily computed exactly, $51\times 4\pi/3 \approx 213.6283004441$. Now suppose ...
785 views

### Plotting two circle and finding intersection point

I would like to generate two circle graphic below For the beginning step, I make first circle with center 0,0 and diameter of 100 mm following program below But, I feel confused when I will make ...
674 views

### Surface area of ellipsoid

I think this is a bug Area @ Ellipsoid[{0, 0, 0}, {1, 2, 3}] returns Infinity in Mathematica 11. Is there a way I can compute ...
556 views

### Minkowski sum with 2D and 3D geometries

I have searched for this but the only questions I've found are this, and a more closely related one. How can I compute and plot the Minkowski sum of geometric entities in both 2D and 3D? There are ...
226 views

### How to convert the Parallelogram into a Polygon

Suppose I have Parallelogram like Parallelogram[{1, 2}, {{3, 4}, {6, 3}}] I can convert it into a ...
110 views

### Is it possible to symbolically solve minimisation problem for N-dimensional vector?

I'm interested in the problem of finding the points that represents the distance between 2 lines in N-dimensional space (N >= 3). Assuming that line 1 has 2 points $A_1$ and $X_1$, and line 2 has 2 ...
130 views

### How can I find properties of conic section (center, vertices, foci, etc.)?

Is there a built-in function that can compute properties of conic section from its equation? For example, provided the equation $\ (x-3)^2/25+(y-4)^2/16=1$ is it possible to find its center, foci, ...
91 views

### Reflecting the trace of a polynomial about a vertical line [closed]

I am doing this question and up to $b$ and $c$ and I am wondering how I can reflect the graph, I managed to do part $a$. I know the equation for part $b$ is ...
139 views

### Calculating the area of a closed shape produced by ListLinePlot

I have the following data that are produced from experimental observations: ...
376 views

### How can I offset a curve from the given data points?

I am new to Mathematica programming. I have a question related to my work with this software. I have the data points below: ...
148 views

### How can I get one octant of a ball? [duplicate]

I tried to get a 1/8 of a filled sphere using the built-in function Ball. Someone has already asked a similar question years ago It seems like Mathematica still ...
353 views

### Geometry computations add-on for Mathematica?

I came across the problem of calculating the circumcenters of triangles symbolically within another algorithm (as well as possibly doing other similar geometry computations). I was hoping Mathematica ...
184 views

### Measure eccentricity of a polygon

I am trying to compute the eccentricity of a polygon in Mathematica. I see that I can do something similar with ComponentMeasurements, but I am not sure how to get ...
118 views

### What does the alignment error returned from FindGeometricTransform measure?

FindGeometricTransform returns "the alignment error together with the transformation function." How is the alignment error computed? I ask because if you iterate <...
2k views

### Inverted version of Sierpinski triangle

In Michael Trott's The Mathematic Guidebook for Graphics, Section 1.5.1, he first does this: ...
158 views

### use of GeoDistance on WGS84 spheroid

The reference WGS84 describes the Earth as oblate spheroid with semi-minor axis (radius to poles) of 6356.752 km and semi-major axis (radius to equator) of 6378.137 km. I am considering the distance ...
158 views

### Counting number of spheres that contain a point

I have created this set of spheres in Mathematica. The code I used to produced this is as follows: ...
85 views

### How to determine position of the end of circle with certain distance from datum (0,0) [closed]

I plotting my data points in mathematica below in my opinion, I can determine point A use circle equation r^2=x^2+y^2 because the datum (0,0) of "small circle" is fix coordinate. But for "big circle" ...