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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10
votes
4answers
673 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 ...
10
votes
3answers
420 views

Non-geometric transformation of Graphics3D primitives

I want to apply non-geometric transformations to polygons etc, the goal is to have a Manipulate objects that behaves like that famous möbius transform video. Since ...
8
votes
1answer
198 views

Antialiasing of horizontal lines

Consider the following graphic: g = Graphics[{Circle[], Table[Line[{{-1, i}, {1, i}}], {i, -1, 1, 0.2}]}, ImageSize -> 150] (You may need to look directly ...
8
votes
1answer
3k 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: ...
6
votes
3answers
389 views

Opacity and overlapping multiple polygons

Let's say I have 100 polygons that are all different but most of them overlap. All I want to do is to draw/plot them in one single graphic with linearly adding gray values; i.e., a point with ...
3
votes
1answer
923 views

How to align rotated tick labels?

How can I align tick labels so the tick label text ends centered under the data point? Of Course it works fine with a rotation of 90 Degrees, but not with 45 or similar angles. I see an example of ...
9
votes
3answers
977 views

Labeling a bar chart, changing how rotated labels are centered

I'm trying to label a bar chart with rotated labels see this simple example: ...
7
votes
4answers
654 views

How to combine ArrayPlots?

Define: fat = ArrayPlot[RandomReal[1, {20, 10}], ColorFunction->"Rainbow"]; skinny = ArrayPlot[RandomReal[1, {20, 1}], ColorFunction->"Rainbow"]; What ...
6
votes
2answers
345 views

Rectangle with rounded edges

Inspired from : Fit an image within a Rectangle [] in Graphics I would like now to fit an image within a Rectangle[] with rounded edges as shown in the example below : Is it possible ?
5
votes
1answer
165 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 ...
3
votes
2answers
268 views

Rules governing Plot line generation

I was looking at the Documentation Center for Round, Ceiling and Floor when I noticed that ...
86
votes
7answers
14k 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 ...
43
votes
3answers
18k views

How to create new “person curve”?

Wolfram|Alpha has a whole collection¹ of parametric curves that create images of famous people. To see them, enter WolframAlpha["person curve"] into a Mathematica ...
54
votes
2answers
42k 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 ...
36
votes
5answers
3k views

How can this image (optical illusion) be created with Mathematica?

I came across this image the other day: and liked the sensation of it pulsing. I was wondering if anyone would know how to create something similar with Mathematica (without the Pink Floyd Dark ...
37
votes
9answers
2k views

Animating mathematica.se logo

As we all know our site's logo was completely generated by Mathematica. I suppose it is quite natural to make the next step -- to generate the animated version of this logo. There's a lot of space for ...
27
votes
2answers
1k views

Mollweide maps in Mathematica

Context In my field of research, many people use the following package: healpix (for Hierarchical Equal Area isoLatitude Pixelization) which has been ported to a few different languages (F90, C,C++, ...
20
votes
2answers
855 views

How to quickly calculate intersections of filled curves?

I am trying to quickly calculate the intersection of polygons with more than 6,000 points. A compiled solution would be preferable. Here is one example of the problem: ...
19
votes
2answers
495 views

Dynamically splitting Disks with Mouseover

I've recently stumbled across this site: Koalas to the Max, and the first thought that came to my mind was "I want to recreate this with Mathematica". As a first step I tried to create a ...
21
votes
4answers
528 views

Implementing a Beeswarm plot in Mathematica

I am looking for a Beeswarm plot implementation in Mathematica. Consider the following data: ...
9
votes
3answers
3k views

How to convert a 2D image into a 3D graphics?

I have an image I would like to make into a .dxf and to do this I need a Graphics3D object. Is there anyway I can do this? Can ...
18
votes
6answers
3k views

Using ListPointPlot3D to simulate 2D plots moving in time

I wrote a 1D solver for the heat equation $u_t=u_{xx}$, and I can animate the solution using normal ListPlot command, where the x-axis is the rod length, and the ...
20
votes
2answers
530 views

Is there a way to have Plot draw points on a function where the function is undefined as circles as in textbooks?

A very common feature of graphs of functions used throughout textbooks are simple indications, such as open circles, of the points at which a function is undefined. Is there a way to do this in ...
14
votes
6answers
2k views

Distance between point and line segments

How would you determine the shortest distance between a point and one or more segments? For example, what is the shortest distance between the point and the two segments below? Clearly the point is ...
12
votes
4answers
294 views

Prevent graphics render inside held expression

Assuming each odd line is input I would like the even lines to be the output of the following lines. In the above the Graphics are inside ...
16
votes
2answers
668 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 ...
12
votes
4answers
683 views

Combine absolute and relative (scaled) coordinates

I am using Inset to add an Epilog to a plot. The position of the images (in my case: framed numbers) can be specified as an ...
10
votes
2answers
320 views

How to get and set default font parameters for Plot, ListPlot, LogPlot, etc.?

How can I find the default font parameters (family, size, etc.) for the text that appears in Graphics produced by Plot, ...
20
votes
1answer
427 views

Is there an equivalent of FullGraphics for Graphics3D?

For 2D graphics, there exists the function FullGraphics to turn the stuff Mathematica generates automatically on Graphics (like ...
18
votes
2answers
859 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 ...
16
votes
2answers
872 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 the plot is simply that, by manipulating these controls users can explore how the plot changes as the ...
15
votes
2answers
197 views

Graphics elements do not line up perfectly in exported PDFs

Graphics elements do not always line up perfectly in exported PDFs. Take for example ...
14
votes
2answers
319 views

Equidistant points on a polyline

Set of 2D-points connected by a polyline B-spline function: ...
14
votes
3answers
832 views

On coloring the faces of a surface differently with parameter-dependent colors

Old versions of Mathematica ($VersionNumber < 6) supported a particular syntax of ParametricPlot3D[] that allowed for ...
10
votes
2answers
308 views

How can I prevent ColorFunction from disabling antialiasing in graphics?

When I use ColorFunction, the appearance of my plots is ruined, changing from this which has the normal smooth lines and antialiased fonts, to this in which ...
19
votes
1answer
450 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 ...
17
votes
3answers
1k views

Finding the centroid of a disk in an image

I got about 100 images of the sun and have to find the centre of the star in the images. I have binarized the images and used ComponentMeasurementsto find the ...
8
votes
2answers
318 views

How to create custom Graphics primitive?

How to create custom Graphics primitive? It should have the following properties, resembling properties of built-in geometric figures, like ...
8
votes
4answers
580 views

Showing a rectangular plot on an almost-closed sphere

I am currently teaching some students about the "point at infinity", and how it allows us to treat circles and lines as "the same", etc. I would like to kind of show this happening with a series of ...
19
votes
5answers
989 views

Morphing Graphics, color and location

I would like to make a small animation : 1-We start with a random distribution of gray points : ...
16
votes
2answers
430 views

Ad hoc graphics primitives-like objects

Sphere is one of the three-dimensional graphics primitives available in Mathematica and can be easily used to created very useful images. For instance, in the ...
13
votes
2answers
949 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 ...
12
votes
4answers
2k views

Graphics plot of point using unfilled circle

I'd like to be able to place points on a plot using Graphics[{Point[{a,b}],....}] but have the plot symbol be an unfilled circle. I've looked around but can't find ...
11
votes
5answers
707 views

How to texturize a Disk/Circle/Rectangle?

The documentation for Texture states that "other filled objects" can be texturized: Texture[obj] is a graphics directive ...
11
votes
2answers
688 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 ...
7
votes
2answers
404 views

How to draw line connecting points on circle

Consider the list {1,2,3,4,3,4,2,1}. I want to label these points on circle the way they appear on list(clockwise, counter clock wise doesn't matter). After that I want to connect same points by ...
6
votes
1answer
614 views

Drawing a graph with specified edge lengths

I was wondering if it was possible to ask Mathematica to draw a graph provided some set of vertices: $(v_1, ..., v_N) \in V$ connected by $M$ edges $(e_1, ..., e_M) \in E$, where the length of each ...
4
votes
1answer
386 views

Rasterized image together with vector-graphics axes

Following some of the questions here on Mathematica Stack Exchange, I am trying to export an image that contains a rasterized object and vector-graphics axes. Here is an example: ...
1
vote
1answer
165 views

How to insert a plot into another overlay plot

I want to insert a plot into another overlay plot. Here is my code: ...
15
votes
6answers
1k 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 ...