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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14
votes
5answers
2k views

How to draw an ellipse arc in 3D?

There is no Circle or Disk object in 3D. I quickly found a way to use Cylinder (thin lines, no faces, very flat): ...
8
votes
5answers
552 views

can the color in MeshStyle be specified by a ColorFunction, such as “SunsetColors” for example. If so, what is the correct syntax?

This is an example given in Help: Plot3D[Sin[x y], {x, 0, 3}, {y, 0, 3}, MeshStyle -> Gray] Could this be changed to something like ...
24
votes
1answer
376 views

Tool to locate bloat in a notebook?

In developing a notebook, I often find I have created a very boated file that takes a long time to save. I would like to slim it down. It is usually the result of graphics and images, but they may be ...
20
votes
1answer
504 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 ...
18
votes
5answers
894 views

How can I replace bi-directional DirectedEdge pairs in a Graph with a single UndirectedEdge?

The Cayley graphs produced by Mathematica 8.0's CayleyGraph function represent actions that are their own inverses in an unconventional way: rather than using a ...
8
votes
2answers
1k 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: ...
2
votes
1answer
255 views

How to insert a plot into another overlay plot

I want to insert a plot into another overlay plot. Here is my code: ...
12
votes
1answer
496 views

Graph stories, 3-d volumes

I saw a lesson plan that had students filling different shaped bottles at a constant rate. The idea was to graph height vs. time to show the students how different shapes would produce different ...
9
votes
1answer
285 views

Dimensions of the results of Text[] within Graphics[]

Is there a way to get the dimensions that the results of a Text[] will occupy within a Graphics[]? Specifically, if I run ...
12
votes
2answers
373 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 ...
10
votes
3answers
2k views

Saving high-quality graphics through commands

Say I make and display a graph in a Mathematica notebook: graph = CompleteGraph[100] If I drag the corner of the graph to increase its size, and then save it to ...
7
votes
1answer
293 views

Crash when displaying / rasterizing graphics with textures at high resolutions

CAUTION/Disclaimer: execution of some of the code below can result in a complete crash of Mathematica or even your system. Save all your work and do not try in a productive situation. For a graphical ...
6
votes
3answers
1k views

Spreading colors in ListDensityPlot

I want to create a two-dimensional plot using data from an external file. This file contains several triplets of numbers. The first two columns indicate the x and y position, while the third one works ...
6
votes
3answers
431 views

How can I completely remove the ListAnimate controls?

I want to use ListAnimate to show an animation but I want to remove the slider and all of the buttons from the top and show the animation panel only. There is an ...
5
votes
1answer
193 views

Why does the order of arguments in Show influence the result?

I am wondering why there is a difference in the results from evaluating the two expressions, which differ only in the order of the arguments given to Show. When I ...
5
votes
3answers
3k views

How can I transpose x and y axis on a Plot?

This question has appeared in various forms online, but I have not yet seen a complete answer, so I am posting it here. More specifically, suppose I have a function ...
16
votes
2answers
662 views

Plot Option Precedence while combining Plots with `Show[]`

I like to build sophisticated plots by combining simpler ones with Show[]. Typically this involves setting non-default Plot-Options with the different ...
10
votes
4answers
753 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
1answer
366 views

Can a LatticeData image be displayed in a space filled fashion

I'd like a FaceCenteredCubic image as in the in LatticeData docs, but space packed, and cropped on all the boundaries, so that it illustrates the geometry of the calculation that leads to the ...
10
votes
3answers
443 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
220 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
4k 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
426 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 ...
5
votes
2answers
404 views

StreamPlot for Bifurcation Diagram

When we do a StreamPlot, I want to show the bifurcation when $a = 0$ transitions to $a >0$, but do not see a better way to do this than the following. ...
3
votes
1answer
1k 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
1k 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
726 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
362 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
179 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 ...
4
votes
1answer
310 views

How can I have an axis label automatically positioned below the X-axis?

I'm attempting to generate some histograms, and I'd like to automatically label the X-axis. However, Histogram[. . ., AxesLabel -> {"X", "Y"}] places the "X" ...
3
votes
2answers
287 views

Rules governing Plot line generation

I was looking at the Documentation Center for Round, Ceiling and Floor when I noticed that ...
43
votes
3answers
19k 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 ...
53
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 ...
37
votes
5answers
4k 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 ...
38
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++, ...
27
votes
5answers
3k views

How to plot Venn diagrams with Mathematica?

How does one plot Venn diagrams with Mathematica? I've searched quite a bit and I've found one source at MathWorld which provides the source code for doing them. But I don't understand this code, can ...
20
votes
2answers
922 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
6answers
971 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 ...
20
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 ...
19
votes
2answers
532 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
615 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 ...
14
votes
7answers
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 ...
22
votes
3answers
1k views

How to change ColorFunction after plotting

Say I have a plot like plot = DensityPlot[Exp[-((x-5)^2+(y-5)^2)/5^2], {x, 0, 10}, {y, 0, 10},PlotRange -> {0,1}] Is there a way to change the ...
20
votes
2answers
569 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 ...
16
votes
2answers
732 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 ...
14
votes
4answers
849 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 ...
12
votes
4answers
312 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 ...
10
votes
2answers
486 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, ...