Questions on the construction of 2D and 3D graphics through the direct use of primitives, directives, and functions. Include the graphics3d tag for questions specifically on 3D graphics. This tag is not to be used for basic questions on visualizing functions and lists using the various flavors of ...

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8
votes
3answers
1k views

Increase 3D Graph thickness for 3D printing in Mathematica?

My code: Plot3D[{(2*x*y)/(x^2 + y^2)}, {x, -2, 2}, {y, -2, 2}] Output: And now I can export this to STL by using the export STL command, however, when I try ...
30
votes
4answers
4k views

Creating a 2D meshing algorithm in Mathematica

As what is proving to be a difficult, but entertaining task, I am attempting to adapt a 2D meshing algorithm created for MATLAB and port it to Mathematica. I understand meshing functions already exist ...
57
votes
2answers
43k views

Cutting bagels into linked halves

I recently came across this video: Mathematically correct breakfast, which shows how a bagel can be neatly sliced into two identical linked halves. I'd like to try this with Mathematica. Here's a ...
23
votes
6answers
2k views

Understanding Pie Chart Annulus generation and alternate style using Disk[]

Background I have been working with a set of data for some time now and I recently decided to change the format. The data is a tree-styled listing of hierarchical names and positions. (* Names ...
26
votes
4answers
4k views

How to draw Fractal images of iteration functions on the Riemann sphere?

Prof. McClure, in the work "M. McClure, Newton's method for complex polynomials. A preprint version of a “Mathematical graphics” column from Mathematica in Education and Research, pp. 1–15 (2006)", ...
27
votes
3answers
2k views

How to detect crosses and circles in 60x60 raster images?

I have hand-written 60 pixel times 60 pixel squares. I need to detect whether they are empty, x or circle. TextRecognize function fails. Is there some other function to process this kind of raster ...
20
votes
3answers
885 views

LocatorPane and PlotRange

Consider the following snippet from the documentation on LocatorPane ...
12
votes
4answers
2k views

Plot a 2D vector path onto a surface

In my calculus 3 course, we're studying gradients and have a project that takes a combination of 3D Gaussian radial surfaces and a basic parametric path $r(t) = \{x(t),y(t)\}$ to see how the gradient ...
16
votes
3answers
2k views

How to make Mathematica graphs in Microsoft Word independent from Mathematica?

When I open a .docx file containing Mathematica graphs on a computer without Mathematica software installed, the graphs look corrupted. For example, ...
25
votes
2answers
949 views

Movable text on a curve

Having an arbitrary curve defined as InterpolatingFunction, what is the best way to place a text on this curve? The text generally has two rows, for example: ...
15
votes
3answers
3k views

Create triangular mesh from random list of points

I have a list of points. I would like to take these points and create a mesh of triangles from them, making sure triangles don't overlap. So here's a list of points: ...
22
votes
1answer
756 views

Convert Graphics3D containing BSpline to polygon primitives for export to 3DS?

Graphics3D[] objects created with BSpline functions will not export to 3DS format, which only supports the more basic primitives. Is there any straightforward way ...
21
votes
0answers
336 views

Graphics`Mesh`FindIntersections[ ] fails to detect intersections

Graphics`Mesh`FindIntersections[ ] is an undocumented function for, well, detecting intersections very efficiently. Take a look: ...
12
votes
1answer
745 views

What is the best way to clip a graphic to a region?

What is the best way to clip a graphic to a certain region? Here's a very simple implementation to show what I mean: ...
17
votes
5answers
5k views

How to draw a great circle on a sphere?

I apologize for the text description, but new users are not allowed to post images. I want to draw a circle that cuts through the center of a sphere and has an inclination of 15 degrees with the ...
15
votes
2answers
699 views

Change base font for all graphics objects

How can I change the base font style for all graphics objects, including the ones generated using plotting functions? I would like to change this a single time and have it affect all graphics ...
15
votes
3answers
1k views

Background image in a polygon / CountryData

Is it possible to use a background image in a polygon without rasterizing the polygon? I tried with textures, but they seem to be viable only for simple polygons. I want to put a flag as the ...
14
votes
2answers
532 views

Equidistant points on a polyline

Set of 2D-points connected by a polyline B-spline function: ...
11
votes
9answers
1k views

How to join each of the spheres? Or, how to make a 3D grid?

Graphics3D[{ {RGBColor[#], Sphere[#, 1/50]} & /@ Tuples[Range[0, 1, 1/5], 3] } ] It gives this: Now I want to get this one: How? As simple as ...
9
votes
1answer
3k views

Adding arrows in curves

Let's consider the following case ...
9
votes
2answers
941 views

How To interactively create a Polygon in a Graphic?

Background: suppose I start with the following (working) snippet. Manipulate[Graphics[Line[{{0, 0}, p}], PlotRange -> 2], {{p, {1, 1}}, Locator}] Ideally, I ...
9
votes
4answers
2k views

Export Graphics[] without white edges

I am trying to generate & Export[] Image with the below code, but as shown in the images I get some white border around my rectangle. How could I export an images that stopes right at the edge of ...
13
votes
1answer
243 views

Structure of Graphics (esp. those produced by Plot, ListPlot, etc.)

I'm looking for a description of the structure of Graphics objects, aimed at the advanced Mathematica programmer. The motivation for this question is the ...
13
votes
2answers
1k views

Computing the bounding boxes for Text objects

Regardless of AspectRatio, the Text boxes overlap. ...
11
votes
2answers
1k views

Transfer graphics from Mathematica to Word without loss of quality

I want some high-quality 2D graphics produced by Mathematica in my paper. My step-by-step operation as follows: First I make the plot, for example, ...
12
votes
1answer
11k views

Adding a point to an already existing graphic

This is just a follow-up of this post: Beginner 2D animation with maths equations Part of the code is: ...
13
votes
2answers
472 views

Anti-aliasing with the multiple-object form of Polygon?

Observe: rand = RandomReal[1, {4, 3, 2}]; Graphics @ Polygon @ rand Graphics[Polygon /@ rand] I am losing ...
8
votes
1answer
320 views

Preventing cell height adjustment when rotating 3D graphics

I have a large dataset of scattered x,y,z coordinates. I am trying to use ListPointPlot3D to identify outliers in 3D. This involves generating a plot and then ...
10
votes
4answers
1k views

Coloring Points in a Plot, based on their position in the list

Before I describe the question, I'd like to say that I've seen the excellent answers posted here but have not managed to get them to work for my own data. I have a list of values that I would like to ...
8
votes
2answers
3k views

Formatting Ticks and FrameTicks labels with a function

Is there a convenient way to format tick labels? In this example I would like to use the default Mathematica tick intervals, but simply convert the X axis labels to strings with "s" added. As you ...
3
votes
2answers
1k views

Add coordinate axes to a 3D plot of concentric spheres

I want to add coordinate axis to a figure of nested spheres. I have the command. ...
2
votes
1answer
325 views

Map points on a square onto a Torus

I would like to create a 3D torus plot from a 2D graphic. This 2D original plot is a bit complex, and I haven't a clue how could transform it to a torus. The below code, from this article posted on ...
5
votes
1answer
943 views

How do I reverse the axis in ParametricPlot?

In astronomy, right ascension is usually plotted with positive values that increase from right to left. I have seen discussions of successful and unsuccessful attempts to reverse the order of an axis ...
113
votes
7answers
20k views

How to generate a random snowflake

'Tis the season... And it's about time I posed my first question on Mathematica Stack Exchange. So, here's an holiday quest for you Graphics (and P-Chem?) gurus. What is your best code for generating ...
42
votes
2answers
2k views

Generating stippled (Penrose-style) drawings of surfaces

In The Road to Reality there are plots of surfaces that use a variable density of dots to suggest curvature. You can see some examples here and here. I suppose they've been drawn by Penrose, but ...
42
votes
1answer
2k views

Constructing election cartograms?

I found this pretty neat page showing cartograms for the US elections and I don't really know how to get started doing these graphics in Mathematica. For those who don't know, a cartogram is a map in ...
38
votes
5answers
2k views

Rotating an image along a Möbius strip?

I am trying to make a GIF which will be a rotating Möbius strip, with some text printed along its (one!) side. I am trying to (obviously) do this in Mathematica. After some diligent searching and a ...
24
votes
4answers
1k views

Implementing a Beeswarm plot in Mathematica

I am looking for a Beeswarm plot implementation in Mathematica. Consider the following data: ...
18
votes
2answers
1k views

How can I draw a 3D cross-section of a 3-torus embedded in 4D Euclidean space?

I have a $3$-torus ($\mathbf S^1\times\mathbf S^1\times \mathbf S^1$) embedded in 4D Euclidean space. How can I draw the cross-section of this $3$-torus cut by a 3D Euclidean space in an arbitrary ...
11
votes
7answers
4k views

How to draw a Circle in 3D on a sphere [duplicate]

The Circle function is strictly a 2D Graphics object, so that we cannot directly combine a ...
23
votes
4answers
1k views

How to plot Error Bars in a 3D scatter plot

This is a simple problem which is proving difficult to solve. I want to plot error bars on points in a 3D scatter graph. I plot error bars on points within a 2D scatter by: ...
17
votes
4answers
1k views

Subplots with connector lines

I am looking for advice from people who have more experience in this area on what is the best (simplest, least effort) way to create a graphic like the following: This is a rough mockup made in a ...
21
votes
2answers
2k views

How to translate interactive graphics from Mathematica to standard HTML+SVG?

I have a simple interactive plot in Mathematica, with controls for various parameters. The point of the plot is simply that users can explore how the plot changes as the parameters change by ...
18
votes
5answers
6k views

How do I plot a plane EM wave?

I would like to display an electromagnetic (EM) wave. I have written code that works, but it does not "shade" the area between the graph and the axes. Both the ...
23
votes
2answers
2k views

Generating convex polyhedron from face planes?

Suppose I have lists of normals and points for planes. There's a convex polyhedron whose faces lie on these planes and are bounded by plane intersections. What would be the easiest way to produce an ...
22
votes
2answers
2k views

How can I customize arrowhead shape to match common LaTeX styles?

How do I control the shape of my arrow heads? LaTeX's TikZ package has a wide variety of predefined arrowhead styles, some of which I'd like to try to match for Mathematica figures I'm importing into ...
21
votes
3answers
3k views

How do I add arrowheads to circular arcs?

I have figures containing several arcs showing the extend of angular measures, and would like to indicate the directions in which angles are measured with arrowheads. How do I add an arrowhead at the ...
13
votes
3answers
1k views

Generating hatched filling using Region functionality

Before v.10 came out there were several Q&A on generating hatched filling for Plot, ListPlot etc. In v.10 we have new ...
10
votes
1answer
3k views

Image Processing: Finding Orientation and Position of Symmetry Axes

Background I'm currently toying with Principles of Design by Charlotte Jirousek in order to learn some basics of image processing. As main principals she suggests Balance, Proportion, Rhythm, ...
24
votes
7answers
3k views

Visualize Pascal's triangle and other triangle shaped lists

How can Pascal's triangle be visualised like this in Mathematica? Or more generally, how can a 'triangular' list like {{1},{1, 1}, {1, 2, 1}} be visualized in ...