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

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9
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2answers
335 views

Is there a way to programmatically set global preferences?

Can I set global preferences that are accessible via "Edit"->"Preferences" programmatically from within a notebook? As learned from this question, turning off anti-aliasing can make a huge difference ...
9
votes
2answers
685 views

How to create these famous surfaces in topology with the desired color effects?

It was said such real objects of famous topological surfaces were plotted by the cooperation between mathematician Richard Palais and artist Luc Benard, and published as the cover page of Science ...
9
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2answers
324 views

Drawing Cylindrical Segment with Graphics3D

For a visualization I need a combination of 3 Cylindrical segments to visualize the incident, reflected and refracted beam of light at a surface. I got as far as the following code. ...
9
votes
2answers
1k views

Coloring each face of a Cuboid with a different color

Is there a way to color each face of a Cuboid with a different color? I looked in the help but couldn't find anything. I found this Coloring the faces of a 3D ...
9
votes
1answer
282 views

Hexagonal Mesh on a 3D surface

I am new to Mathematica, and I am trying to create a 3D hexagonal mesh on a 3D surface. It is very similar to what was done in this post Create a torus with a hexagonal mesh for 3D-printing, but now ...
9
votes
1answer
1k 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: ...
9
votes
2answers
182 views

How to have one or multiple Boxed graphics, mixed with non Boxed, in the same Graphics3D

In the following example, I would like to Boxed only the RegionPlot3D, and not the Sphere. ...
9
votes
1answer
148 views

Mathematica's “POV” export format ignores ColorFunction

I was playing with xslittlegrass's Pov-Ray package and more generally with the POV-conversion function ExportString[#, "POV"] &, and noticed that ...
9
votes
1answer
355 views

How to convert Graphics3D object into an Image3D object?

How does one convert a Graphics3D object into an Image3D object? E.g., start with ...
9
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1answer
94 views

How to synchronize the display of dynamic objects?

I was looking at this question, which asks to keep the orientation of some 3D graphics objects constant (relative to the viewer) while rotating the rest with the mouse. I thought that maybe the ...
8
votes
3answers
498 views

How can I find the vertexes of a Polygon?

I made a polygon with the following vertexes : ...
8
votes
3answers
1k views

Convex hull of a 3D object?

I am trying to find a convex hull command for a Graphics3D object. Does it exist in Mathematica? ...
8
votes
3answers
376 views

Generating a “flare” effect in Graphics3D?

I'm attempting to indicate that there is a point-source of light at some position in a Graphics3D-generated image. Is there any built-in tool to do this? My patch-work solution thus far has been to ...
8
votes
3answers
339 views

Plotting triple data points while xy data are not regular

I plotted recently some figures in Matlab and their quality was not that satisfactory, so I come to Mathematica as my supervisor suggested. This is how such figure looks like in Matlab: . In Matlab, ...
8
votes
1answer
694 views

How to render a 3D tubular graphics from a 2D image path

Question: Is it possible to create a tubular 3D image like Extruding along a path using "Tube" function in mathematica for following images? Image (1) Image (2) Thanks I have been ...
8
votes
2answers
567 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: ...
8
votes
3answers
338 views

Multiple-colored regions on a Sphere in Mathematica

The problem: I would like to draw a sphere where the bottom half is one color, and the top half is split into 3 equal regions, each with its own color. I have come up with the following code, by ...
8
votes
2answers
243 views

How to make a cylinder with bottom that shows hidden part of edge as dashed curve [duplicate]

I am learning a bit about TikZ and found a nice feature in its graphics, that I am having hard time duplicating with Graphics3D. It is making a ...
8
votes
1answer
350 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 ...
8
votes
2answers
790 views

OpenSCAD like functionality with Mathematica?

I keep seeing reference to use of Mathematica as a CAD tool (for instance: http://www.makerbot.com/support/guides/design/). I'd like to use it as such if feasible, but I'm having trouble locating ...
8
votes
1answer
298 views

Add lines to 3D Plot

How can I add lines that demarcate the different regions of the following 3D plot: Plot3D[1/(1 + E^(-a - c)), {a, -8, 8}, {c, -8, 8}] To give you an idea of what ...
8
votes
1answer
256 views

FindClusters for 3D Pancake/Platelet Shapes

I'm looking to properly cluster a dataset of roughly 3 million data points in 3-space. The shapes form closely spaced "clusters" that resemble pancakes. Here is a downsampled dataset: ...
8
votes
5answers
521 views

How I calculate the volume of multiple intersecting spheres?

I would like to know how to calculate the volume of the union of multiple possibly intersecting spheres (using Sphere[]). Please see the figure: I was trying to get a mesh/delaunayMesh out of the ...
8
votes
1answer
504 views

Graphics3D from Mathematica to SolidWorks (for 3D-printing)

I have an 3D Graphic generated with Mathematica's Graphics3D, and want to use it later in SolidWorks. SolidWorks files are usually *.stp, *.step, *.stl extentions. google search hasn't given me a ...
8
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3answers
174 views

Ticks disappear in Graphics3D with Epilog

Normally, you can enable Graphics3D to show tick marks by doing this: Graphics3D[Sphere[], Axes -> True] But in ...
8
votes
1answer
173 views

How to display MeshRegion without vertices

I'm writing a library for handling very large and complicated (boundary) mesh regions on the order of ~150,000 vertices, ~450,000 edges, and ~300,000 triangles. The regions themselves are the cortical ...
8
votes
1answer
647 views

How to map rotate, pan, zoom to manipulate controls

I am wondering if there is a way to restrict the motion of the rotate mouse cursor in when moving around a 3d plot. For example, I want the y direction of the cursor to correspond to pulling the z ...
8
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0answers
99 views

How to make Graphics3D with multiple lighting sources being rendered faster

I have a very "precise"(through setting "SpherePoints") Sphere illuminated by hundreds of random color lighting sources. The ...
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 $0\leq t\leq 5$ ...
7
votes
3answers
481 views

Speed up ContourPlot3D

I have two issues with the following code. (1) It executes too slowly. If I use "Speed" instead of "Quality" for PerformanceGoal, I get the speed but an undesirable delay in proper rendering of the ...
7
votes
2answers
623 views

Morphing a “sheet of paper” into a torus

How can I visualise the standard topological "rubber-sheet" construction of a torus, that is, morphing a square into a torus? How can I start or are there any examples in the Mathematica ...
7
votes
6answers
2k views

How do I draw a hemisphere?

I want to draw a solid or partially transparent hemisphere above a partially transparent cuboid object in Graphics3D. However, I do not know how to do this s.t. only half the sphere is drawn. Here's ...
7
votes
3answers
639 views

How to make a smooth revolution surface plot

I'm trying to plot a 3d revolution plot from a set of 2d points. These data points form a 2d curve, then we rotate that curve around y axis and get a 3d surface. @J. M. has a well explained and very ...
7
votes
3answers
817 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
2answers
449 views

Is it possible to manipulate a graphics object with 3 rotation transforms simultaneously?

The code that I have written has an unintended consequence that I'm not sure how to get around. I want 3 rotation transforms to be applied simultaneously to 1 graphics object. Instead, I get 3 ...
7
votes
2answers
894 views

How can I mesh a solid cylinder with triangular or tetrahedral elements

I need to plot triangular mesh on a cylinder. However the function Cylinder doesn't have a mesh option. By using ...
7
votes
3answers
411 views

Thick polygons in Graphics3D [duplicate]

I have a polygon that I want to thicken with thickness h. How do I do this? FaceForm is evil and says: The directive ...
7
votes
2answers
169 views

Make further objects blurry?

I have the following function: ...
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
508 views

Combining Image3D and Graphics3D

I want to combine an Image3D and a Graphics3D using Show. Here is the code: ...
7
votes
2answers
3k views

Axes Origin & Labels in 3D Plot

I'm looking for a way to have the axes at the origin in a 3D plot and to label the (x,y,z) axes in the usual way---with x near the end of the drawn portion of the x axis, y near the end of the drawn ...
7
votes
2answers
337 views

Graphics3D: Objects with holes

In a recent project, I found out that there is a big limitation when using Graphics3D to construct objects - it lacks the ability to construct objects with holes in ...
7
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2answers
411 views

Draw an arbitrary convex polyhedron without excess diagonals drawn

I want to draw a set of convex polyhedrons whose vertices are defined by spherical coordinates on the surface of a unit sphere. Currently I followed the advice from here: ...
7
votes
1answer
1k views

How does one draw a parallelepiped in Mathematica?

I'm a bit new to the application, and I'm not sure how to draw a parallelepiped in Mathematica.
7
votes
1answer
465 views

How to add texture to solid Graphics3D object such as cylinder?

I'd like to add texture to a Cylinder inside Graphics3D. I can't see how to use FaceForm and ...
7
votes
1answer
451 views

Color linear interpolation of ParametricPlot3D

I am looking for any ideas about how to colorize an ellipsoid with a custom gradient style or by a Blend function. I would like to colorize ellipsoid as follows: ...
7
votes
1answer
184 views

Fractal dimension of a large networked molecular system

I am trying to determine the fractal dimension of this complex biomolecule (figure attached). Any clues as to how this can be done. In trying to determine this quantity, I wonder how its ...
7
votes
1answer
203 views

Strange behavior of `BoundaryMeshRegion`

BoundaryMeshRegion is new function of version 10. I am not familiar with the function. I want to decide whether a point is inside or outside in the Boundary using ...
7
votes
1answer
321 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 ...
7
votes
1answer
150 views

Explain the difference between ViewPoint and ViewVector?

I've read the documentation, but am still very unclear as to what the difference is between ViewVector and ViewPoint for ...