Questions tagged [polyhedra]
105 questions
7
votes
1 answer
Generating icosahedra with any T number
The regular icosahedron has 20 triangular faces and 12 vertices. Faces can be further subdivided into smaller triangles. However, it is not necessary that the smaller triangles perfectly tile one of the larger (original) triangles.
In fact, one can…
Botond
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4
votes
2 answers
Getting dihedrals of a polyhedron object
I am generating a refined icosahedron as follows:
Needs["PolyhedronOperations`"]
Geodesate[PolyhedronData["Icosahedron"], 3]
The output is:
I can also exract the face coordinates as
faces = Cases[Normal@Geodesate[PolyhedronData["Icosahedron"], 3],…
Botond
- 215
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2
votes
1 answer
How do I divide a polyhedra along the midpoints of edges and faces?
I have a polyhedra-like graph I want to make the polyhedra (or polyhedra-like surface) of.
It looks to be a truncated octahedron, except there's extra vertices in the middle of every edge and face. The face midpoints are connected to the edge…
V. Jackson
- 131
- 4
2
votes
2 answers
How to get Geodesic Polyhedra?
Does anyone have or know where to find Mathematica code to make geodesic polyhedra? I am particularly interested in ones derived from an Icosahedron. It seems this is not a ResourceFunction, or a built-in capability.
EDIT **** An example of such a…
Ted Ersek
- 7,124
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2
votes
4 answers
How can I obtain and work with a Platonic dodecahedron?
I want to obtain and work with a Platonic dodecahedron like this one:
I don't have basic knowledge needed to do it. Can anyone can help me? Just the basics to get me started.
pigeon
- 107
- 1
1
vote
1 answer
How can I get VertexCoordinates of this polyhedron?
I am trying to get VertexCoordinates of this picture of the problem https://artofproblemsolving.com/wiki/index.php/2022_AMC_10A_Problems/Problem_21?fbclid=IwAR2bdHwJEpjarZEwope1hYOcnnXqnvzae38Y8ZrfWKCKQunfAuT9s30q32o
I tried with syntax…
minhthien_2016
- 3,347
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1
vote
0 answers
How to get the nth-order tesselation of a polyhedron in Mathematica?
I'd like to get the n-th order tesselation of a polyhedron like in the drawings on…
TKS
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0
votes
0 answers
How to get the faces of d20 in order
You can get the faces of an icosahedron with:
PolyhedronData["Icosahedron", "FaceIndices"]
This gives:
{2, 12, 8}, {2, 8, 7}, {2, 7, 11}, {2, 11, 4},
{2, 4, 12}, {5, 9, 1}, {6, 5, 1}, {10, 6, 1},
{3, 10, 1}, {9, 3, 1}, {12, 10, 8}, {8, 3, 7},
…
Simd
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