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

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Creating a PolyhedronData[] structure for custom polyhedra [duplicate]

The PolyhedronData[] structure is wonderfully rich. I would like to create data for my own polyhedra, not any of the many that Mathematica provides. Is this ...
4
votes
3answers
247 views

Animate $2D$ butterfly curve in $3D$

There is a butterfly curve $$r(\theta)=e^{\sin(\theta)}-2.4\cos(4\theta)+\sin \bigg( \frac{\theta}{12} \bigg)^5$$ ...
4
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2answers
211 views

Plotting a complicated 3D wave on the surface of a sphere [duplicate]

Suppose you have a vectorial wave described by a complicated function of time and cartesian coordinates $t$, $x$, $y$ $z$ (very simple example below) : ...
4
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 ...
4
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2answers
843 views

Transparent Cylinder with Dashed Edges only

I would like to have that kind of cylinder with Dashed edges (including the bellow inner ring): I've been trying that: ...
4
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1answer
817 views

How can I model composite 3D structures?

I know that Mathematica isn't built to model 3D, but most of my models are equation-defined so here's my question: is it somehow possible to combine ad-hoc 3D objects as well as ...
4
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2answers
156 views

How do you stack 2D graphics into a 3D graphic? [duplicate]

Suppose you have a series of 2D graphics that depend on a parameter. For example, ...
4
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2answers
669 views

Efficient drawing of convex polyhedron given a set of points [duplicate]

I have a set of points in the 3D space and I want to draw the bounding convex polyhedron of those points. A very naïve solution would be to draw a triangle between every three points: ...
4
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1answer
281 views

Graphs in 3 dimensions

I have a desired graph as here: the dashed line is just for perspective representation. I tried with LayeredGraphPlot and ...
4
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2answers
248 views

Overlapping Spheres with a Shared Blank Region

We have two similar overlapped spheres in a way that the distance between their centers is smaller than the sum of their radius (2R>a). As I show here: Also, we want to draw them in a such way that ...
4
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1answer
1k views

Point style in ListPointPlot3D

In ListPointPlot3D, it seems the only point style available is the default, because there is no PlotMarkers option for this ...
4
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3answers
226 views

Text Annotation Disappears in Wrapped 3D Graphics

In a 3D graphic, if I wrap a figure, for example, ...
4
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2answers
1k views

How to process .vtk file

I want to extract the cluster of points inside 3D box, is there any way one can do this in Mathematica?
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3answers
3k 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 ...
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2answers
117 views

How to make overlapped part to be transparent?

I want to ask is it possible to make the overlapped part to be transparent in Graphics3D. ...
4
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2answers
391 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
3answers
179 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
1answer
123 views

eigenoscillations of a sphere

I would like to animate the eigenoscillations of a sphere (Earth?). It's just simple to draw images one by one: ...
4
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2answers
131 views

Create a square polygon that can be used as the base of a pyramid

For example I want to use the design generated by this code as the base of a pyramid as well as other iterations of the design ...
4
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1answer
261 views

How can I draw this polyhedron?

I'm high school student, and I am doing research about buildings using Mathematica. I want to plot the polyhedron shown below: I have tried using Table, but it ...
4
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2answers
242 views

How can I use legend in ContourPlot3D and add arrowheads for axis?

I am using ContourPlot3D to show two surfaces. This is my code. Now I want to use Legend to distinguish the two surfaces, and add arrowhead for the three axis. ...
4
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1answer
232 views

How can I use multiple Textures in Graphics3D

I am creating a Graphics3D object for a box using 6 Polygons (1 per side). I can use one single Texture on one or more sides but I can not find a way to use different Textures for different sides of ...
4
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1answer
438 views

Remove the white margins of a Graphics3D figure

If the option Boxed is set to be False in Graphics3D, additional white margins may appear as ...
4
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1answer
120 views

interpolating a smooth closed surface to a non-uniform data set (ListSurfacePlot3D)

I want to generate a smooth coloured surface from a discrete set of points of the form {x,y,z,F} using the ListSurfacePlot3D. My data set is quite non uniform; the ...
4
votes
1answer
154 views

Render Graphics3D of anatomical data in color

I am trying to render a bone structure in color in Mathematica 10.3, but none of the obvious methods seem to work: ...
4
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3answers
379 views

How do I plot a filled cylinder in 3D?

All, I'm trying to plot a filled cylinder in 3D using Graphics3D and then take 2D slices of said cylinder. I know that Cylinder is officially 'filled', but the 2D ...
4
votes
2answers
281 views

How to minimize the distance between two curves in 3D

I'm trying to find the shortest distance between r(t) and rm(t), at a certain time t. I could not get it using EuclideanDistance, any guess on how to do that? Here is what I have: ...
4
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1answer
83 views

Graphics3D opacity of lines

I would like to make the lines opaque for a plot of form similar to: ...
4
votes
1answer
116 views

How to include 2 dimensional disks in a Graphics3D object (Ellipsoid)

I hope I am not doing something wrong. Compare the following figures. 1) Ellipsoid ...
4
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1answer
582 views

Radial Random Walk

I'm trying to generate a spherical distribution of radial random walk points in 3D space. The following code works, but the random walk lines aren't radial. Why ? Where is my mistake ? ...
4
votes
1answer
264 views

Manipulating a Graphics3D output with a large number of geometric primitives

I'm attempting to view and rotate a Graphics3D object with a very large set of geometric primitives ($\approx 10^6$ objects such as spheres or lines), and everything is functioning very slowly. Are ...
4
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1answer
33 views

Customize FillingStyle in LIstPlot3D

I'm trying to plot inundation at different elevations on a 3D ground surface elevation plot. The closest I have got so far has been to use FillingStyle as the ...
4
votes
1answer
89 views

How can I convert a 3D contour plot into a region for use as a custom slice in ListSliceDensityPlot3D?

The documentation for ListSliceDensityPlot3D says ListSliceDensityPlot3D[{{x1,y1,z1,f1},{x2,y2,z2,f2},…},surf] generates a ...
4
votes
1answer
179 views

Revolving an axisymmetric image for volumetric rendering

I have a series of axisymmetric images of a jellyfish swimming in fluid. Overlaid on these images are plots of the Lagrangian coherent structures associated with swimming, which highlight the fluid ...
4
votes
1answer
189 views

What are these strange shapes in my Plot3D[]? [closed]

Plotting a function, I noticed some strange spots away from the main feature, the dark purple here: You can see that they don't actually have any curvature themselves: Strangely, you don't see ...
4
votes
1answer
214 views

Animation of tube with fixed height

the problem is following: my task is to make an animation: tube changes its radius but doesn't change its height. With command ...
4
votes
2answers
374 views

Draw only part of axis in graph

I'm looking to draw only one half of an axis in ContourPlot3D, mainly because I don't wan't the axis lines to be where the interesting stuff happens (intersection ...
4
votes
1answer
1k views

White spots in ListDensityPlot

I have a problem with ListDensityPlot. I have some data on an irregular grid. I try to plot them with ...
4
votes
1answer
379 views

How can I use Manipulate[] to click on a Graphics3D output and generate $(x,y)$ outputs on a projection plane parallel to my screen?

Say I have some Graphics3D object that I'm looking at from a top down perspective, e.g.: ...
4
votes
1answer
208 views

combined 3D graphics with no interface

I'd like to combine several 3D graphics, but the interface, indicated by the arrow in the figure attached between them is alway present. How to eliminate it? Thanks in advance. Here is my example: ...
4
votes
1answer
302 views

Noticeable slowdown in graphical performance when using manipulate

I have been making these mathematica 3D objects that involve a molecule with some sort of surface displayed above them. This is done fairly easily by: ...
4
votes
2answers
198 views

How can I visualize a map $f:T^2\to T^2$?

Let $T^2\cong S^1\times S^1$ be the one-holed torus surface (say, embedded in $\mathbb{R}^3$) and say I have a simple-ish map $f:T^2\to T^2$ which I'd like to visualize. How might I do that? To make ...
4
votes
2answers
141 views

How to conditionally combine a RegionPlot3D with a ContourPlot3D inside a Manipulate?

I know how to combine a RegionPlot3D and a ContourPlot3D, which I did (see below for details on the code I'm referring to) with ...
4
votes
1answer
127 views

Constant orientation of graphics in Graphics3D

I have been facing a challenge for programming for quite a while now, and I think it is now time for me to consult some Mathematica experts: I would like to draw a three-dimensional graphic, e.g. ...
4
votes
1answer
541 views

3D Plot of The Riemann Zeta Function

I am a new user and i would appreciate your help to visualize the 3D of the following function. Edit I tried this ...
4
votes
1answer
209 views

How to vary line thickness to add a sense of perspective?

Is there a simple way to vary the line thickness relative to the viewpoint so as to add a sense of perspective? Take for example the following: ...
4
votes
1answer
253 views

Adding and summing overlapping Airy (or Gaussian) disks on a plane

In a previous question of mine, I asked how one might draw an Airy disk on a plane: Generating an Airy disk on a plane, and recieved some impressive answers from the users Timothy Wofford and ...
4
votes
1answer
87 views

3D Plot of Matrix with bars, overlayed with empty bars

I am trying to plot a matrix with bars, and show what the perfect case would give in the form of non-filled bars. The bars I was able to create: ...
4
votes
1answer
188 views

Image3D with values outside of the range [0,1]

I am writing some functions in Mathematica for representing MRI anatomical image volumes. The natural way to represent such a volume seems to be as an Image3D form. However, I've noticed an ...
4
votes
1answer
96 views

Does the VerticalCallout algorithm in PieChart3D work correctly?

In real world usage you often want to use real world labels with long strings (say 15-20 characters) in 3D pie charts. Here is a toy example : ...