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
239 views

Graphics in Notebook Different from Graphics Expression?

Consider the expression TreeForm[a+b^2+c^3+d] which displays as This is a nice Graphics object, as I can prove by typing ...
4
votes
1answer
583 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" ...
2
votes
1answer
269 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 ...
46
votes
5answers
5k 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
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:
48
votes
6answers
5k 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 ...
38
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 ...
28
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 ...
32
votes
5answers
10k 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

Drawing pairs (planar graph, circle packing)

Circle packing theorem states: For every connected simple planar graph G there is a circle packing in the plane whose intersection graph is (isomorphic to) G. How to use Mathematica to draw examples ...
47
votes
1answer
2k views

How to construct a treemap using non-rectangles?

I've written the standard version of a tree map (a graphic that shows nested data) and I'm looking to improve on this layout by switching to different types of polygons or perhaps circles. Can anyone ...
34
votes
2answers
2k views

Animating a Voronoi Diagram

edit: Excellent answers have been provided and I made an animation which is suitable for my use, however, all the examples rely on bitmap/rasterized data; is there a vector based approach? I would ...
29
votes
1answer
1k 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 ...
28
votes
2answers
451 views

Chart illustrating options that affect Graphics/Graphics3D objects

In Mathematica there is a seemingly never-ending list of parameters that affect the appearance of Graphics and Graphics3D ...
24
votes
4answers
1k views

How to draw cylinders inside a cube

I want to create the following graphic (ignore the unit vectors). What I do is the following (not the most elegent and smart way I guess:-)!): 1) Use the code below to generate randomly distributed ...
24
votes
6answers
4k 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 ...
18
votes
3answers
853 views

2D Visualization of links and knots

I am trying to draw a picture using Mathematica of three loops linking together in 3D as follows. ...
16
votes
3answers
4k 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 ...
34
votes
7answers
3k views

How to draw a spring?

I am new to Mathematica and have recently been exploring graphical animations. So I was experimenting with simple concepts in periodic motion and hence wondered how can I draw a simple spring? Is ...
22
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: ...
21
votes
1answer
3k views

Vectorizing an image like “Trace Bitmap” in Inkscape

Lately, we had a nice question about artistic image vectorization which got very nice answers. As Szabolcs pointed out himself Since "true" vectorization performed by various specialized software ...
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 ...
24
votes
2answers
827 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 ...
17
votes
2answers
5k 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 ...
22
votes
6answers
2k views

Drawing a square root spiral

Here is a start. I'm looking for a nice way to draw it. ...
15
votes
1answer
1k 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
806 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 ...
12
votes
3answers
5k 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
0answers
486 views

How to export .mtl files for 3D textured objects

I would really like to deploy my textured 3D graphics in the web with sketchfab in my blog. Unfortunately, Mathematica only exports the shape of the 3d graphics, i.e. the .obj file, but omits the ...
11
votes
2answers
545 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 ...
13
votes
2answers
632 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? ...
11
votes
1answer
252 views

How can I make FilledCurve smoother?

In How can I generate and randomly assign color to annular sectors? J.M. showed an interesting way to create a sector graphic using FilledCurve. Unfortunately it ...
10
votes
1answer
1k 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 ...
8
votes
5answers
944 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 ...
7
votes
3answers
934 views

Hovering mouse cursor over a plot to display a “corresponding” point in another plot

(Apologies for not having gotten around to responding to and accepting answers on my other recent questions—as a meticulous and thorough type, I'd like to take my time to fully comprehend and ...
5
votes
1answer
503 views

Label area on plot

I created the following plot using Mathematica: ...
25
votes
1answer
421 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 ...
16
votes
2answers
567 views

Rasterize: Resolution option not working properly

Something about Rasterize which doesn't seem to work as intended. Recipe: Make some simple vector graphics: ...
12
votes
1answer
168 views

Plotting an additional axis with ticks

When preparing non-standard graphs, it is common that one needs an "extra" axis, parallel but displaced from a traditional axis. This might happen in many cases: When you want to plot two curves ...
12
votes
1answer
229 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 ...
12
votes
4answers
4k 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 ...
6
votes
1answer
982 views

ImageSize as absolute (metric) value

I have wondered more and more often lately how the size of an image is handled when displayed or exported. The documentation implies that the via ImageSize the ...
3
votes
1answer
573 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
0answers
106 views

ListContourPlot and ListContourPlot3D use better interpolation for arrays of values than for lists of tuples (i.e. {{x,y,z,f[x,y,z]}..}

From reading the documentation, it seems that ListContourPlot3D should work equally well on an array versus a list of tuples, ?ListContourPlot3D ...
13
votes
3answers
829 views

PDF exports of ArrayPlot's are fuzzy (OS X)

This is now fixed in version 10.3. The problem is present up to version 10.2 only. [The following problem occurs on OS X; I don't know if it also occurs with other OS's.] If I produce a ...
13
votes
1answer
620 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 ...
12
votes
2answers
423 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 ...
11
votes
7answers
2k 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: ...