For questions specific to the Graphics3D command and related 3D graphics functionality.

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226
votes
5answers
109k views

How do I draw a pair of buttocks?

I'm trying to develop a function which 3D plot would have a buttocks like shape. Several days of searching the web and a dozen my of own attempts to solve the issue have brought nothing but two ...
129
votes
1answer
24k views

Mathematica Minecraft

Some time ago I asked myself: with all these great graphics and interactive capabilities of Mathematica, what kinds of 3D games can be implemented in it? And the answer which came to mind is ...
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 ...
50
votes
4answers
6k views

How to make a 3D globe?

There are many ways to create a 3D Earth that is rotatable (see here, here, related here), but most of them have some drawbacks. These issues mainly stem from either ...
47
votes
1answer
2k views

Implementing a first person view of 3D objects in a scene

I've created the following scene with a Chinese-style building surrounded by trees, and a horse and a rabbit grazing on the grass in Mathematica (don't ask me why there's a bust of Beethoven in ...
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 ...
44
votes
2answers
3k views

How to show solid bodies using volumetric rendering?

Note: This question was asked when Mathematica 8 was latest release. Version 9 has built-in support for volume rendering through Image3D. There's an example on ...
42
votes
4answers
2k views

Create a torus with a hexagonal mesh for 3D-printing

I am new to Mathematica, and I'm looking for a way to create patterns on the surface of 3D objects. One thing I have not been able to do is to create a hexagonal mesh on a torus. What I would like to ...
39
votes
2answers
1k views

My donut has holes in it!

More than one hole, I mean… I’m trying to export from Mathematica into the X3D format, with the longer term goal of generating 3D figures for PDF inclusion. But I'm stuck at the first step: ...
37
votes
2answers
1k views

Möbius transformations revealed

Möbius Transformations Revealed is a short video that vividly illustrates the simplicity of Möbius transformations when viewed as rigid motions of the Riemann sphere. It was one of the winners in the ...
35
votes
6answers
2k views

How to plot contours in the faces of a cube

I'm trying to plot contours of a function f[x,y,z] on the faces of a cube as the example below, which represents the domain of this function. Is there a way to do ...
35
votes
2answers
2k views

Sketch-type graphics with transparency and dashed hidden lines?

I'd like to create transparent graphs like the following from P1095, Calculus 6th Ed, by James Stewart. Can Mathematica accomplish this? By "transparent," I mean the ability to see the interior, ...
35
votes
2answers
2k views

An efficient circular arc primitive for Graphics3D

As many people have noted, the 2D graphics primitive Circle doesn't work in a Graphics3D environment (even in v10.0-v10.2, where ...
30
votes
3answers
811 views

Mathematica and POV-Ray workflow (Q&A)

A couple of years ago, Alexey Popkov asked this question: Which ray tracing software is compatible with Graphics3D? It is my opinion, for various reasons, that out of the many ray tracing programs ...
29
votes
2answers
1k views

How to create blurred Graphics3D objects?

Initially I was interested in renderring a 3D analog of a blurred disk like this ...
28
votes
2answers
7k views

3D heatmap density plot

I have a set of data that looks like {{x1, y1, z1}, {x2, y2, z2}, ...} so it describes points in 3D space. I want to make a heatmap out of this data. So that points ...
28
votes
2answers
433 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 ...
28
votes
1answer
349 views

Random polyhedra walk

I would like to recreate ssch's random polyhedra random walk, which he posted in the chat. For convenience here it is again: Since it's been one and a half year since then I've certainly had time ...
24
votes
3answers
1k views

“Covering up” text in Graphics

Consider the following code: ...
24
votes
2answers
4k views

What are the possible ways of visualizing a 4D function in Mathematica?

I have a function $F$ that maps the xyz space to a set of reals, more clearly: $c = F[x,y,z]$ Where $c$,$x$,$y$ and $z$ are reals. What are the possible ways of visualizing this 3d function in ...
24
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 ...
23
votes
4answers
3k views

Can 2D and 3D plots be combined so that the 2D plot is the bottom surface of the 3D plot boundary?

I have a ListlinePlot function, that I would like to combine with both a Graphics3D plot and a ...
23
votes
3answers
2k views

How to extrude a 3D image from a binary 2D image

I'm trying to extrude a nice 3D form from the 2D binary image below using the code posted, but I haven't had any luck in figuring out the error that's keeping ...
23
votes
1answer
587 views

On drilling holes with minimal redundancy (and with colors!)

The old Mathematica package Graphics`Shapes` featured the function PerforatePolygons[], which drilled a hole in any ...
22
votes
2answers
1k views

Trying to Visualize a Collatz - The Collatz conjecture

So I'm new in this and learning--- and I happen to have this collatz collatz[x_, y_] := If[x == 3*y || x == 2*y + 1 || y == 3*x || y == 2*x + 2, 2, 0] So i want ...
22
votes
3answers
1k views

RegionPlot3D in cylindrical or spherical coordinates?

RegionPlot3D is awesome. Unfortunately, it appears to work only for Cartesian coordinates. While there are ways to draw surfaces in spherical or cylindrical coordinates, I can't find a way to draw ...
22
votes
1answer
613 views

Unintended edge extensions in 3D Cube rendering

Bug introduced in 7.0.1 or earlier -- persists through 10.0.1 or later I have arranged a certain configuration of cubes in 3D using the following code: ...
21
votes
2answers
2k views

How to build a bvh (a motion capture file format) player in Mathematica?

How to build a bvh player that can be used to visualize human motions in Mathematica? Any idea or sample code would be appreciated. ...
20
votes
4answers
2k views

Visualization of Bivariate Distributions

I know it is perfectly possible to show the bivariate probability distributions in MMA. But my question is can we show each dimension of distribution in 2D dimension while we are showing the 3D plot? ...
20
votes
3answers
955 views

How to make a 3D topographic globe?

I've made some attempt with this dataset of elevation. But I have some trouble with ListSurfacePlot3D, which can not show the globe correctly: And I've checked that the data is out of problem, ...
20
votes
2answers
685 views

How to get shadows in Graphics3D?

It was a shock to me when I found that in Graphics3D a surface is always transparent to the light sources: ...
20
votes
1answer
387 views

What is PointForm?

I stumbled across a function called PointForm but the only documentation I can find is the pop-up line offered by autocomplete, which contains the same information ...
19
votes
3answers
1k views

How to plot a figure like this

I saw a beautiful figure illustrating the optical lattice clock, and would like to make a similar one. This is the figure (taken from here) Is it possible to make a similar one using Mathematica? ...
19
votes
3answers
2k views

How to make hollow polyhedra?

I found a version of the Mathematica spikey in 3D printable format (STL) at the Shapeways site that was hollow. Here it is when viewed in MeshLab: You can see there's a bit cut out of the end, and ...
18
votes
5answers
536 views

Plot a partition of the sphere given vertices of polygons

I saw in this question that Mathematica can draw spherical triangles. I guess something similar can be done to plot a spherical polygon. I am interested in something similar: I have a set of ...
18
votes
5answers
4k 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): ...
18
votes
3answers
917 views

How to get the real PlotRange using AbsoluteOptions?

The problem in general involves the unreliable behaviour of AbsoluteOptions when option values are implicitly specified (e.g. ...
18
votes
1answer
627 views

3D bubble textures in Bread (and other solids)

Bread has a bubbly texture that I would like to be able to recreate using Mathematica. Here are some examples of bubble textures: Bread Swiss cheese Foam Note that most of the ...
18
votes
0answers
545 views

How to improve these WASD + mouse look 3D controls?

Insipred by this question and the corresponding answer I've written a code for full-screen exploration of 3D scenes using standard WASD and mouse look controls. Here it is. ...
17
votes
3answers
2k views

How to calculate volume of convex hull and volume of a 3D object

I have a set of random 3D data points. How can I calculate the volume of the convex hull?
17
votes
1answer
551 views

Is it possible to produce anaglyphs with Mathematica?

I'd like to prepare some presentations in Mathematica to help students visualize functions of two variables (it's a usual calculus course). I thought it would be both cool and useful to have the ...
17
votes
2answers
1k views

Which ray-tracing software is compatible with Graphics3D?

I am interested in working alternative to Mathematica's FrontEnd for rendering Graphics3D produced by Mathematica. The requrements are: An ability to import ...
16
votes
3answers
884 views

3D view of a route shown on a map

You should have already seen such a thing, specially in documentaries about ancient life: the movement of a tribe is shown on an ancient map along a route with a dashed arrow. I want to do the same ...
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 ...
16
votes
0answers
201 views

Bug(?) in version 10: Tooltip and ListPointPlot3D

Bug introduced in 10.0.0, persists through 10.1 The coordinates of a point in a three dimensional graph can be shown in a tooltip: ...
15
votes
5answers
4k views

How to draw a great circle on a sphere?

I apologize for the text description, but new users are not allowed to post images. I want to draw a circle that cuts through the center of a sphere and has an inclination of 15 degrees with the ...
15
votes
4answers
1k views

Mathematica for teaching orthographic projection

Edit: All the four answers to this question are great, and if you're interested, you should take a look at all the answers. Nevertheless, belisarius' code was accepted since it was closest to what I ...
15
votes
3answers
1k views

How to plot a 3D surface with a simple black and white style?

Mathematica has great plotting capabilities. However, sometimes what is needed is a very basic black and white plot without textures, lighting, glow and other complex features. So, here is my ...
15
votes
3answers
1k views

How to get rid of the perspective effect in a 3D graphics

I have plotted a figure of MoS2 crytal structure. But the actual output looks like the spheres are not in the correct position due to the perspective effect. I obtained the correct position figure ...
15
votes
2answers
884 views

How do I generate the Mathematica Version 2 Spikey in Mathematica?

As we all know, Mathematica changes its logo design with every new version, while still maintaining the dodecahedral/icosahedral motif. I have been able, through much digging around, to finally ...