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

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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: ...
10
votes
4answers
1k views

Filling between two 3D surfaces

I know it is possible to create a filling in between two curves on a 2D plot, but is it possible to do the same in 3D? My attempt like this: ...
6
votes
2answers
681 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
266 views

Synchronizing manual rotations for multiple Graphics3D outputs?

Say I make a set of three Graphics3D images, here of three different cones, by evaluating: ...
3
votes
2answers
1k views

How to Plot Prism in Graphics3D

I want to create an image of a rectangular prism, but there is no built-in primitive for it. One method to display a prism is shown in whubers's answer to Mathematica for teaching orthographic ...
5
votes
1answer
287 views
2
votes
2answers
206 views

random discrete data 3D plot

I get the random discrete data as follows ...
2
votes
1answer
318 views

About Slicing through Graphics3D

Recently I have seen a code in mathematica about Slicing through Graphics3D in Slice through Graphics3D. My questions is: Is it possible to fill out these spheres? I have problem with generating ...
1
vote
1answer
153 views

plotting 3d points: z-axis is squashed

I am plotting 3D points and it occurs to me that Mathematica doesn't have an easy way to specify my points to be plotted in a uniformly scaled cartesian space. For example I plotted ...
1
vote
1answer
741 views

Import Excel sheet into 3D array?

I have an excel spreadsheet that I would like to plot in a 3D graph using mathematica. The X and Y values are the location of the cell, and the Z value is the number of the scale. How can I import ...
27
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 ...
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 ...
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 ...
18
votes
3answers
977 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? ...
8
votes
2answers
615 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: ...
18
votes
0answers
539 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. ...
11
votes
4answers
1k views

How to draw a higher-genus surface

NB: By higher-genus surface, I mean a closed orientable surface of genus at least 2. This question has come up before on math.SE, and even MathOverflow, but most posters suggested using either ...
15
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 ...
9
votes
1answer
409 views

Moving polygon on path curve to create 3D shape

How can I move some polygon list = {{0, 0}, {0, 15}, {7, 13}, {2, 13}, {2, 5}, {5, 5}, {5, 3}, {2,3}, {2, 0}}; Graphics[{Black, Polygon[list]}] so it follow some ...
7
votes
3answers
940 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 ...
7
votes
1answer
334 views

Histogram3D frame ticks with bin text labels rendered in x-y plane?

Is it possible in Histogram3D to substitute frame ticks text labels and have the layout in x-y plane? Starting with a ...
22
votes
1answer
599 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: ...
10
votes
1answer
2k views

Construct 3D image from multiple 2D images

My goal: How to (1) construct 3D image for visualization. (2) how to write 3D array or image into binary raw file. Is there a way to accomplish this in Mathematica? Alternative_Answer for: ...
6
votes
2answers
421 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
989 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 ...
5
votes
2answers
270 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
490 views
3
votes
2answers
259 views

How do I display the plane of best fit in 3D?

I'm trying to display the plane of best fit in the same 3D-box. Currently, I have the following code which spits out a plot of the points in 3D. I want to have a plane of best fit, can Mathematica do ...
11
votes
3answers
644 views

How to properly project a Graphics object consisting of line primitives

My problem starts from attempts at depicting overlapping lines of different thickness, i.e. ...
11
votes
3answers
1k views

How can I visualize 6 square matrices as a cube?

I have six square matrices of the same dimensions in a list, for example: ...
8
votes
3answers
531 views

How can I find the vertexes of a Polygon?

I made a polygon with the following vertexes : ...
6
votes
3answers
318 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
1answer
269 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
3answers
932 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: ...
4
votes
3answers
2k views

Smooth 4D (3D + color) plot from discrete points

I have a file containing isosurface $\{x,y,z,F\}$ data (around 9000 points). My goal is to generate a smooth (NOT a discrete set of points!) colored surface using ...
11
votes
2answers
883 views

Why is ListDensityPlot unable to plot datasets with extreme ranges

Consider the following dataset: data = Flatten[ Table[{x 10^-9, y 10^-9, x^2 + y^2},{x, -100, 100, 10}, {y, -100,100, 10}] , 1]; If I try to ...
7
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 ...
7
votes
3answers
2k views

Animate ParametricPlot3D for two different parametric equations

I want to write a computer program to generate 3-D plots (with x-y-t axes) to demonstrate the evolution of the two missiles in the following case: i. $x = 100t$, $y = 80t-16t^2$ for $0\leq t\leq 5$ ...
5
votes
2answers
476 views

10bits per rgb / 1024 shades of gray?

Can we display 10 bits per rgb in Mathematica? I'm using a quadro card and 30 bit monitor and can get a smooth gradient using Psychtoolbox in matlab. The following Mathematica should produce a bar ...
5
votes
2answers
770 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 ...
4
votes
2answers
479 views

Extrude 2D cross-section to 3D shape with shrinkfactor

I would like to create a 3D shape from extrusion and scaling of a 2D contour. The 2D contour that I have looks like this: and it consists of a bunch of points (here plotted with ...
4
votes
3answers
160 views

Am I missing the point of ViewCenter?

Based on this description of 3D graphics and the associated Wolfram Training video, I anticipated that using the mouse to rotate the graphic below would rotate around the point where the three ...
4
votes
2answers
330 views

How to rotate 3D graphics in ListAnimate … without making a mess?

Manipulate is, of course, wonderful … but there are LOTS of examples that are simply far too computationally intensive to use live real-time animations for. In such ...
4
votes
1answer
288 views

How can I colorize an imported model?

How can I colorize an imported model from for example 3ds max? I'm trying to find the way to colorize a 3D plot from an imported model with something like this: ...
1
vote
1answer
131 views

How to combine manipulate and eventhandler

I combine manipulate and eventhandler, now I can change the controller when working on eventhandler, but how to change the value in eventhandler when I control the manipulate controller? ...
1
vote
1answer
210 views

Combining solar system planets orbits and positions in Graphics3D and Show

I am building an animated model of the solar system, where I would like to display the OrbitPaths of the planets along with their ...
1
vote
0answers
112 views

Anti-aliasing won't work when there is PlotStyle command

I've found that if there is PlotStyle command in the input, anti-aliasing will not work. However if the Style code is ...
28
votes
3answers
753 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 ...
16
votes
3answers
877 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 ...
23
votes
1answer
581 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 ...