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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3
votes
2answers
599 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
159 views

How to highlight image edge with spline/bezier when mouse moved over?

It is known that EdgeDetect can find image edges in an image. Suppose the image edges consists of sets of lines. Can the detected edge line near the mouse pointer be highlighted as spline/bezier when ...
36
votes
5answers
2k views

Factorisation diagrams

Here is a way to visualize the factorisation of natural numbers. How do we get this or a similar kind of output using Mathematica? See the list of images generated for number from 1 to 36:
40
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 ...
52
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
1answer
1k 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 ...
20
votes
6answers
1k 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 ...
30
votes
5answers
7k views

Custom arrow shaft

Inspired by Sjoerd C. de Vries' nice answer to this question, and the desire to pimp a Graph I did with Mathematica recently I would like to know if there are ways to customize the arrow's shaft ...
23
votes
2answers
1k views

How can I pack circles of different sizes into a spiral?

Given a list of circles of different areas, I need to arrange them tangentially in order of increasing area and spiraling outward. An example of the type of packing I'm attempting is shown by the ...
31
votes
2answers
2k 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
1answer
898 views

Make a map of squares

I'm trying to use Mathematica to make a map similar to the one here i.e. a US map where each state is represented by a square of a given size, located as close as possible to its true geographical ...
24
votes
3answers
1k 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 ...
24
votes
5answers
1k views

How can I wrap text around a circle?

How can I wrap text around a circle? For example: the text in the sectors of this chord plot. Perhaps one could use FilledCurve[] and then apply a ...
19
votes
3answers
691 views

LocatorPane and PlotRange

Consider the following snippet from the documentation on LocatorPane ...
15
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 ...
22
votes
1answer
3k views

Autorotating 3D plots

These days, I have to produce quite a few 3D surface plots (mostly functions of the type $\rho(\theta,\phi)$ plotted with SphericalPlot3D). To exchange these ...
17
votes
2answers
3k views

How to save plots in grayscale

As sophomoric as this question seems, how should I save plots in grayscale in Mathematica? I generally like eps images for their scalability and I use ghostscript or other third party perl scripts ...
14
votes
4answers
351 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 ...
14
votes
1answer
888 views

Programmatically combine 2D contour plots with 1D projections

I regularly need to plot 2D and 1D data together. I want to be able to show a 2D contour plot with the projections along each of the axes. As it is now, I create the three plots separately and use ...
12
votes
3answers
3k views

How to express ticks in scientific form? [duplicate]

I want to express the ticks in scientific form. I tried two ways as following ...
11
votes
2answers
431 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
2answers
1k 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 ...
19
votes
5answers
998 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 ...
16
votes
2answers
1k 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 ...
15
votes
5answers
3k 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): ...
5
votes
1answer
377 views

Label area on plot

I created the following plot using Mathematica: ...
25
votes
1answer
395 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 ...
13
votes
2answers
458 views

Diagonal Tick Marks

I would like to draw diagonal tick marks around a plot, and simultaneously rotate the tick labels as well. I've mocked up what this would look like: Is there an easy way to do this in Mathematica? ...
9
votes
1answer
938 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 ...
2
votes
1answer
399 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
2answers
321 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 ...
12
votes
1answer
553 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
2answers
332 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
397 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 ...
11
votes
1answer
434 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 ...
11
votes
3answers
3k 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 ...
9
votes
1answer
197 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 ...
8
votes
1answer
5k 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: ...
7
votes
1answer
325 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
470 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 ...
6
votes
1answer
196 views

Is it possible to render Graphics with more than “Byte” bitdepth?

I wonder is it possible to render Graphics in Mathematica with bitdepth higher than "Byte" which is the maximum bitdepth ...
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 ...
5
votes
2answers
217 views

Draw a partial line in Animate

I have a list of points that my line must go through, all at varying distances from one another. I'd like to draw just a piece of this line in an Animate, where the various segments are traversed at ...
16
votes
2answers
776 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 ...
13
votes
1answer
234 views

Why does GridLines option fail with Function?

Bug introduced in 10.0.0 and fixed in 10.0.1 The Plot option GridLines can be specified either as a list of explicit values ...
10
votes
3answers
475 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
254 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 ...
7
votes
6answers
1k views

How to make a resizable chess board?

For some reason I need to create a chess board. I can create a chess board by following command: ...
5
votes
3answers
628 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 ...
5
votes
1answer
232 views

Synchronizing manual rotations for multiple Graphics3D outputs?

Say I make a set of three Graphics3D images, here of three different cones, by evaluating: ...