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6
votes
5answers
394 views

How to draw a dodecahedron with each face modified to a pentagram?

I'd like to draw a dodecahedron with each face carved on the sides so it becomes a pentagram. I wonder how to start to do this kind of task in Wolfram language? Edit: The result should still be a ...
0
votes
1answer
166 views

Drawing an dodecahedron with vertexes at given coordinates

I want to draw an (edit)dodecahedron with the vertex in the following coordinates: ...
5
votes
2answers
319 views

How do I show only the intrinsic color of 3D polygons?

System: Mathematica 9, Windows 7. I want to assign a polygon a color in such a way that it is rendered in that color irrespective of any ambient light sources. In other words I want Yellow to be ...
2
votes
1answer
125 views

Regular Polyhedra coordinate points generation

Is it possible to get all points on a Polyhedron surface using two surface parameters, say $ \phi,\theta $ spherical co-ordinates? Just like in ParametricPlot3D, can we start with PolyhedronData ...
6
votes
2answers
224 views

Simplify 2D polyhedral Regions like Interval

I don't think there's a built in "RegionSimplify" for polyhedral Regions and derived akin to how Interval automatically simplifies its argument expression: ...
1
vote
1answer
72 views

Plotting polyhedra faces with polygons removed from the interiors of the faces

I have dozens of vertices and dozens of faces which is why I use the v={};i={} and Graphics3D and ...
6
votes
1answer
206 views

Any packages for vertex enumeration on Mathematica?

My work requires me to enumerate all vertices of a polytope defined by linear inequalities from time to time. And I'm mainly working with _Mathematica 9.0 on Mac OS X 10.9. So I wonder are there any ...
9
votes
3answers
403 views

Torus triangulation

I'd like to plot something similar to this but with a triangle instead of a pentagon. Also, I'd like to triangulate the faces, that is, to insert the diagonals for each face of the 3 prisms used. In ...
2
votes
3answers
236 views

What is the order of faces on a D20? How can I optimize the order of faces on a D-n?

I am creating a customizable D20 for 3D printing using OpenSCAD, with the following code: ...
4
votes
1answer
199 views

How to construct a polyhedron from its vertex graph?

Consider the graph given by ...
17
votes
2answers
592 views

Difference (or intersection) of two convex polyhedra

I have two convex polyhedra stored in the following form: a set of vertices vertices = {{x1,y1,z1},...}, a set of faces, where each face is a convex polygon ...
3
votes
1answer
90 views

Symbolic Output after numerical computation

I have a small question about the symbolic output. I started to write a program that generates the coordinates of n-dimensional polytopes by Wythoff construction. For crystallographic groups, all is ...
2
votes
2answers
351 views

Plotting a Spericon and Bipyramid with 100 faces

I would like to plot convex polyhedron with 100 faces, which could be used as a die. My first attempt was asking for Conway's Hecatohedron. Unfortunatly, it can not be used as a die. Now there are ...
2
votes
1answer
217 views

Plotting John Conway's Hecatohedron

John Conway has given an explanation how a regular Hecatohedron (polyhedron with 100 faces) looks like: http://www.ics.uci.edu/~eppstein/junkyard/hecatohedron.html Conway explains: Here's a ...
0
votes
1answer
156 views

How to plot a decahedron with Mathematica?

I wrote Graphics3D[{Opacity[.9], FaceForm[Yellow], PolyhedronData["Dipyramid", "Faces"]}] and I get this picture: I would like to plot a decahedron without ...
1
vote
0answers
127 views

How to mathematically represent MMA 9 Spikey?

I am trying to figure out how to mathematically represent the MMA 9 Spikey in order to send to a 3D printer. According to this page, " In particular, spikeys for version 2 and up are based on a ...
7
votes
2answers
438 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: ...
0
votes
0answers
45 views

Draw an arbitrary convex polyhedron [duplicate]

I want to draw a set of convex polyhedrons whose vertices are defined by spherical coordinates on the surface of a unit sphere. How can I accomplish this in Mathematica? It seems I cannot do it ...
1
vote
1answer
292 views

Finding 111 plane of Carbon Diamond

All, I looked at the example on the Mathematica Website with the Carbon Diamond Lattice. Example I am referring to I am wondering is there a way to highlight an individual plane such as the 111 or ...
16
votes
5answers
1k views

Insphere for Irregular Tetrahedron

I am looking for existing Mathematica code to compute the unique sphere inscribed inside an irregular tetrahedron. I can write it myself, but I would love to find that someone already performed this ...
2
votes
1answer
198 views

Viewing the inside of cuboid intersections

    I have a number of cuboids intersecting as illustrated. I would like to see their intersection, almost the view from inside. Setting the ...