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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9
votes
4answers
1k 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 ...
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 ...
18
votes
5answers
4k 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 ...
17
votes
3answers
4k views

how to make graphic timelines in mathematica

Hi does anyone know how to make timelines with mathematica? http://images.nationmaster.com/images/motw/atlas_middle_east/turkey_timeline.jpg something like that would be great! thanks
22
votes
1answer
660 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
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 ...
17
votes
2answers
2k 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 ...
19
votes
5answers
1k 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 ...
14
votes
2answers
447 views

Equidistant points on a polyline

Set of 2D-points connected by a polyline B-spline function: ...
13
votes
3answers
2k views

Finding a Concave Hull

I have a 3d clustered data: Is there any other way to get concavehull of 3D data points?
9
votes
2answers
762 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 ...
13
votes
2answers
1k views

Computing the bounding boxes for Text objects

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

How to align coordinate systems of Inset and enclosing Graphics?

Suppose we have some plot with AspectRatio not being Automatic: ...
11
votes
4answers
680 views

Why do some CountryData flags render at low resolution?

This question is related to data analysis introduced here Why do some flag images from the CountryData dataset render at very low resolution both in Front End and ...
5
votes
2answers
737 views

ListContourPlot interpolation screws up on concave set of data

I want to create ListContourPlots for sets of Data (from a physics simulation) given as Triplets {x, y, f(x, y)}. Certain parameter regions in the x-y-plane are ...
10
votes
0answers
189 views

More Ticks::ticks errors in AbsoluteOptions in v10

Bug introduced in 7.0 or earlier and persisting through 10.1 or later While the specific bug affecting Plot described in AbsoluteOptions prints error messages in ...
9
votes
3answers
592 views

How to ensure that Polygon[list] plots a simple polygon?

Consider the following code which plots a triangle. p = {{0, 0}, {.2, 0}, {0, .2}}; {Cyan, Polygon[Dynamic[p]]} // Graphics Then adding (for example) ...
9
votes
1answer
667 views

Antialiasing option behaves weird (polygon edges visible in ContourPlot)

When I set the Antialiasing option in Style, I get the followings: ...
7
votes
2answers
1k views

How to insert guide-lines in graphics without specifying range?

Is it possible to insert guide lines in Graphics - for example a horizontal line through y=0 coordinate without specifying the range of the line? Originally I assumed Infinity might do the trick: ...
6
votes
3answers
745 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 ...
6
votes
2answers
2k 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 ...
5
votes
1answer
771 views

Bresenham's line algorithm

Bresenham's line algorithm is producing discretized line for given two points for purpose of plotting for example. Like that: I have to stress that I'm interested in positions, not a plot. ...
14
votes
1answer
287 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 ...
5
votes
3answers
863 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 ...
2
votes
2answers
256 views

Set the same color scale across multiple ListContourPlots?

This is probably straightforward - but how would I set the same color scale across multiple ListContourPlots? if I have values from 10 to 25 on one ListContourPlot and values from 40 to 100 on ...
8
votes
3answers
233 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
488 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
226 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 ...
79
votes
6answers
7k views

Generating visually pleasing circle packs

EDIT: (my conclusion and thank you note) I want to thank you all guys for this unexpected intellectual and artistic journey. Hope you had fun and enjoyed it the same as I did. I would like to ...
51
votes
3answers
24k views

How to create a 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 ...
42
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 ...
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:
31
votes
3answers
700 views

How can we make publication-quality PlotMarkers without version 10?

Suppose that for certain reasons we are not yet using Mathematica version 10, or we have a version with buggy PlotMarkers. It is well known that the default markers ...
54
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 ...
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 ...
38
votes
5answers
4k 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 ...
31
votes
5answers
9k 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 ...
25
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 ...
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 ...
45
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 ...
32
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 ...
28
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
429 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 ...
23
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 ...
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 ...
21
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: ...
24
votes
2answers
768 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 ...
19
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 ...
17
votes
2answers
4k 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 ...
20
votes
4answers
2k views

Drawing a square root spiral

Here is a start, i'm looking for a nice way. ...