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

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6
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3answers
751 views

How to make a 3D plot auto-rotate?

When doing presentation with Mathematica, I often want a 3D plot to rotate automatically, so the 3D feeling is stronger. I don't want to drag the mouse very time. So, I want a general function like ...
6
votes
2answers
542 views

How to get UV mapping of 3D tube

Here is cylinder data: file We can mesh the surface, thanks to lalmei, Belisarius and Simon (link) How to achieve uv mapping from a 3d straight and curved tube? Working code: ...
6
votes
2answers
1k views

How to render a 3D ellipsoid with Graphics3D?

With Graphics3D[Sphere[{0,0,0},1]] I can render a uniform 3D sphere, but how can I render an ellipsoid? I would need to specify the rotation of the ellipsoid and ...
6
votes
1answer
209 views

Eliminate an unexpected mesh line

What is the source of the vertical mesh (ring) in this figure and how does one eliminate it? ...
6
votes
1answer
302 views

How to add texture to a parametric plot?

I need to put some simple textures to some parametric plots. My textures are not complicated, They are like the first example in here. Is there any simple way of doing this? For example, How can I ...
6
votes
2answers
390 views

Don't understand why Mathematica is complaining about my Graph expression; how can I fix it?

The Tube in Arrow problem is fixed in version 10. Note that in version 10 Graph3D must be ...
6
votes
1answer
458 views

Game of Life in 3D

Is there a three-dimensional cellular automaton that in some sense generalizes Conway's Game of Life? If so, how might we use the CellularAutomaton command to ...
6
votes
2answers
3k views

Need 4D plot (3D + color for function) [duplicate]

I have a function f(x,y,z) of three variables and some constants: ...
6
votes
2answers
408 views

Plotting All Possible Points Belonging to a Group Orbit

Given that $$X = \{(x,y,z) \in \mathbb{R}^3 |\, x^2 + y^2 + z^2 - 2(xy + xz + yz) = k\}\,,$$ where $k$ is a constant. Also given that a group $G$ is represented by $$\langle g_1,g_2,g_3|\, g_1^2 = ...
6
votes
1answer
2k views

Rotating 3DPlot into animated gif

I'm trying to make an animated gif of a 3D plot by rotating the plot in its middle, around a vertical axis. I used the tricks gave by F'x and Heike in this thread autorotating 3D plot but I ...
6
votes
2answers
467 views

How to show wireframes on imported Object / Mesh (.obj file)

I've managed to import a Wavefront (.obj) file and store it in a variable like so: ...
6
votes
1answer
221 views

Real-like jet engine flame

I’m trying to make rocket flame and jet engine fire of all kinds that is an 3Graphics object so that it can be used with a 3D rocket project. But I can’t get the basic translucent effect right. ...
6
votes
2answers
364 views

Breaking down a 3D model into patches

I have a 3D model, say the Stanford bunny, which is available in Mathematica examples. Import[ "http://exampledata.wolfram.com/bunny.noff.gz" ] Also ...
6
votes
2answers
555 views

Plot3D constrained to a non-rectangular region

I would like to make a nice 3D graphic of a parabolic bowl, with a cylindrical rim. If I do the following: Plot3D[x^2 + y^2, {x, -3, 3}, {y, -3, 3}] I get a ...
6
votes
1answer
249 views
6
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1answer
205 views

Finding corresponding vertex from 3d to 2d

I have this simple 3d data points: ...
6
votes
2answers
583 views

Slice through Graphics3D

is there any possibility to slice through a Graphics3D object? At the end I would like to have a stack of images slicing , e.g. $n$ times in $z$-direction: $((x,y,z_{0}), (x,y,z_{1}),…,(x,y,z_{n}))$ ...
6
votes
1answer
929 views

Construct a simple mesh or tetrahedral mesh from 3D image surface

I have a 3D Y-Shape hollow tube, not so good surface. Import["http://dl.dropbox.com/u/68983831/tube02.vtk", "Graphics3D"] I tried to use following vertex data ...
6
votes
1answer
193 views

How can I get this Graphics3D to rotate around a particular sphere?

I made this Graphics3D of the Sun with the plotted orbits of a few astronomical objects. ...
6
votes
2answers
187 views

How to make a “flat” plot (or a grid of 2 plots) of 3 variables in Mathematica (sample picture attached)

Is it possible to plot that kind of graph in Mathematica? (picture attached) If yes, it can be used to visualise a simple "balance system" of the form: X = f[e]; ...
6
votes
1answer
464 views

Building a molecule viewer: aesthetic rotations

I am working on building a molecule viewer in Mathematica and am running in to problems with controlling rotation of the molecule (which is rendered as a ...
6
votes
2answers
1k views

Calculating a minimum bounding box for a set of 3-space coordinates / spheres

I have a set of 3-space coordinates for the atoms of a molecule (I could also transform them into spheres with radii corresponding to the atoms they represent). I would like to place this molecule ...
6
votes
1answer
230 views

Does it make sense to ask for the color of a Graphics3D “voxel”?

Say I generate some Graphics3D object, e.g.: Graphics3D[{Red, Sphere[{0, 0, 0}, 1], Blue, Sphere[{1, 0, 0}, 1]}] Does it make sense to ask for the color of a ...
6
votes
1answer
298 views

ListContourPlot3D doesn't use all points

Edited thanks to @Kuba: In the following example, ListContourPlot3D accepts an array of points spaced at intervals 0.1 apart throughout the volume, but seems to choose an arbitrary number of points ...
6
votes
0answers
113 views

BoundaryMeshRegion::buncl error in V 10.1, that works ok in V 10.0.2

This code works ok in V 10.0.2 (from a post I was looking at here) I noticed what seems to be a regression bug. This code works in version 10.0.2 on windows 7 ...
6
votes
0answers
124 views

Mathematica and POV-Ray workflow: ListContourPlot3D

I have the following function describing a molecular electronic Orbital. ...
6
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0answers
294 views

Performance tuning - Explicitly set Mathematica use Nvidia GPU for rendering

I feel hesitated to ask this question, but I cannot figure out a way to increase the performance. The problem is about running this featured example on a computer with both Intel HD GPU and Nvidia ...
5
votes
3answers
736 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
2answers
456 views

How can I define a 3d-body through different views? [closed]

In one of the maths blogs I follow I stumbled upon the following question: The bottom, side, and front views of an object are shown below: How would the object look in three dimensions? My ...
5
votes
2answers
669 views

What is the default ColorFunction for 3D plots?

This should be a really simple question, but it isn't in the documentation for some perverse reason. I like the default ColorFunction that Mathematica uses for ...
5
votes
3answers
287 views

How can i construct a 3D surface pass through a curve defined by formula and some other controllable points?

For example, If a have a curve defined by x^2+y^2=1 and z=0, and some isolated points having z coordinates, Can I construct a 3D surface passed through? It's better if I can change the surface shape ...
5
votes
3answers
430 views

How to measure cross sectional area of Tube

I have modified my question to a simple version. I have vertex clusters, polygons and a list of center points. Attached pts and polygons of 3d tube are: ...
5
votes
2answers
1k views

Plot 2D Vector function in 3D

I want to plot a 2D vector function such as $F(x,y) = (a(x,y),\,b(x,y))$ in a 3D graph so that the vectors are embedded in the xy plane. I tried to do the following: First I defined a piecewise ...
5
votes
4answers
1k views

How can I fill a curve in ParametricPlot3D?

I'd like to fill a curve in a ParametricPlot3D in the same way as I might with ListPointPlot3D; i.e., ...
5
votes
1answer
283 views

How should a beginner figure out the context to use an expert answer provided on this forum?

J.M.'s answer to Extruding along a path related to custom cross-sections appears to answer a question I have been puzzling over for some time. I am interested in producing a tube with the stadium or ...
5
votes
2answers
403 views

Generating stripes on a polygon

I want to create a Graphics3D polygon that has stripes on it. My code is ...
5
votes
2answers
598 views

Finding concave hull for separated small clusters

Data : data3D = Import[file, "VertexData"]; Graphics3D[Point[data3D]] How to find concave polygon for separated small clusters.
5
votes
1answer
258 views
5
votes
2answers
259 views

Is it possible to assign different colors to parts of an .obj file?

There are four different cubes in an .obj file. After loaded into Mathematica, is it possible to assign four random colors to the cubes? ...
5
votes
1answer
245 views

Synchronizing manual rotations for multiple Graphics3D outputs?

Say I make a set of three Graphics3D images, here of three different cones, by evaluating: ...
5
votes
1answer
239 views

Embedding StreamPlot in Graphics3D

I am trying to visualise the action of the infinitesimal generator of a Lie group on the solution of a 2-ODE system drawn in the 3D space (t,y1,y2): t is time and y1,y2 are the two dependent ...
5
votes
1answer
803 views

Plotting a 2D shape along a 3D parametric function curve

Say I have a 3D curve that is parametrically defined. How would I be able to plot shapes like figure 8s whose centers are aligned along the 3D curve? Say the curve was: ...
5
votes
2answers
525 views

three-dimensional graphic objects that are not simple cuboids

I am trying to draw some graphics with Mathematica. The objects I want to draw are just a little bit more complex than a cuboid -- the difference being that the top and bottom faces are of different ...
5
votes
1answer
597 views

Drawing a torus not bounding a solid torus

I am trying to make a "pretty" picture of a torus in $\mathbb{R}^3$ which does not bound a solid torus. The standard way of constructing such a thing is to first take a non-trivial torus knot: ...
5
votes
2answers
295 views

How to draw a box with holes using Mathematica

How to draw these two(especially the second one) graphs using Mathematica? The curve is not important.The point is how to dig some holes in a cube. BTW, These two shapes are Homotopy.
5
votes
3answers
286 views

Switching among view points in a Manipulate expression

Edit: Some additional viewpoints were included to make it easier to test. Here's code for an alternative function, the graph of which is a bit less symmetric. Feel free to use either code set: ...
5
votes
1answer
163 views

Drawing a quadrangular surface

Is there a way to draw a quadrangular surface in Mathematica so that it shows the bilinear term (not two triangles)? The quadrangular polygon is given by the expression $$\phi = \sum_i^4 N_i U_i$$ ...
5
votes
1answer
237 views

How can we get this infinite prism lattice to look more like `PolyhedronData[{“Prism”, 3}]`?

This is D$_3$h prism with order 12 (8 currently, needs 4 more edges) and rotational symmetry D$_3$ with order 6. A d=11 version is shown here. Using this code: ...
5
votes
1answer
240 views

Integration of Two Manipulatable Cylinders

Introduction I created the following code to simulate the many possible interactions between a cylindrical protein crystal and a x-ray beam during serial femtosecond crystallography. ...