Polyhedron
Polyhedron Data
Some polyhedron and their vertex,face and edge data.Face List has index of vertex list.By connecting vertex in this order we will get a face of that particular polyhedron. For example first row of face list for cube has [1 2 3 4] it means if we connect vertex number 1,2,3 and 4 then we will get one face of cube.By connecting complete array in the specified sequence we will get a complete cube.
Edge List has index of vertex list.By connecting vertex in this order we will get an edge of that particular polyhedron.For example first row of edge list for cube has [1 2 ] it means if we connect vertex number 1 and 2 then we will get one edge of cube. Some polyhedron images are shown with their edges only and some with their faces.Click on the link below each image to download complete data in single file.
Polyhedron
Vertex List
vert=[1 1 1
1 1 -1
1 -1 1
1 -1 -1
-1 1 1
-1 1 -1
-1 -1 1
-1 -1 -1];
vert=[1 1 1
-1 -1 1
-1 1 -1
1 -1 -1];
vert=[1 0 0
-1 0 0
0 1 0
0 -1 0
0 0 1
0 0 -1];
vert = [0 0 2
1 -1 1
1 1 1
-1 1 1
-1 -1 1
2 0 0
0 2 0
-2 0 0
0 -2 0
1 -1 -1
1 1 -1
-1 1 -1
-1 -1 -1
0 0 -2];
vert=[0 1 1
-1 0 1
0 -1 1
1 0 1
-0.7071 0.7071 0
-0.7071 -0.7071 0
0.7071 -0.7071 0
0.7071 0.7071 0];
vert=[-1 1 0
-1 0 1
-1 -1 0
-1 0 -1
0 1 -1
0 -1 -1
1 0 -1
1 -1 0
1 0 1
1 1 0
0 1 1
0 -1 1];
Face List
face=[1 2 4 3
1 5 6 2
5 6 8 7
7 8 4 3
1 3 7 5
2 4 8 6];
face=[1 2 3
2 3 4
1 3 4
1 2 4];
face=[3 5 2
5 3 1
6 3 2
3 6 1
4 5 1
5 4 2
4 6 2
6 4 1];
face=[2 1 3 6
9 5 1 2
3 1 4 7
4 1 5 8
9 2 6 10
6 3 7 11
7 4 8 12
8 5 9 13
10 6 11 14
14 11 7 12
14 12 8 13
13 9 10 14];
face1=[1 2 5
1 4 8
1 5 8
2 3 6
2 5 6
3 4 7
3 6 7
4 7 8];
face2=[ 3 2 1 4
6 7 8 5];
face1=[1 2 11
1 4 5
2 3 12
3 4 6
5 7 10
6 7 8
8 9 12
9 10 11];
face2=[1 2 3 4
10 11 1 5
12 2 11 9
3 12 8 6
6 7 5 4
8 9 10 7];
Edge List
edge =[1 2
1 3
1 5
2 4
2 6
3 4
3 7
4 8
5 6
5 7
6 8
7 8];
edge=[1 2
1 3
1 4
2 3
2 4
3 4];
edge=[1 3
1 4
1 5
1 6
2 3
2 4
2 5
2 6
3 5
3 6
4 5
4 6];
edge=[1 2
1 4
1 5
1 8
2 3
2 5
2 6
3 4
3 6
3 7
4 7
4 8
5 6
5 8
6 7
7 8];
Cube
Tetrahedron
tetrahedronData.zip
Octahedron
octahedronData.zip
Icosahedron
icosahedronData.zip
Dodecahedron
dodecahedronData.zip
Rhombic Triacontahedron
rhombictriacontahedronData.zip
Rhombicosidodecahedron
rhombicosidodecahedronData.zip
Icosidodecahedron
icosidodecahedronData.zip
Rhombododecahedron
rhombododecahedronData.zip
Truncated Icosahedron
or Buckyball
buckyballData.zip
Square Antiprism
Cuboctahedron
Truncated Dodecahedron
truncateddodecahedronData.zip
Truncated Icosidodecahedron
truncatedicosidodecahedronData.zip
Snub Cube
Coloring Patch
One color for complete patch
vert=[1 0 0;-1 0 0;0 1 0;0 -1 0;0 0 1;0 0 -1];
face=[3 5 2;5 3 1;6 3 2;3 6 1;4 5 1;5 4 2;4 6 2;6 4 1];
patch('faces',face...
,'vertices',vert...
,'facecolor',[0 0 1]); %only blue color
One color per face
vert=[1 0 0;-1 0 0;0 1 0;0 -1 0;0 0 1;0 0 -1];
face=[3 5 2;5 3 1;6 3 2;3 6 1;4 5 1;5 4 2;4 6 2;6 4 1];
colors=hsv(length(face));
patch('faces',face...
,'vertices',vert...
,'facecolor','flat'...
,'facevertexcdata',colors);
One color per vertex
vert=[1 0 0;-1 0 0;0 1 0;0 -1 0;0 0 1;0 0 -1];
face=[3 5 2;5 3 1;6 3 2;3 6 1;4 5 1;5 4 2;4 6 2;6 4 1];
colors=hsv(length(vert));
patch('faces',face...
,'vertices',vert...
,'facecolor','flat'...
,'facevertexcdata',colors);
Interpolated color
vert=[1 0 0;-1 0 0;0 1 0;0 -1 0;0 0 1;0 0 -1];
face=[3 5 2;5 3 1;6 3 2;3 6 1;4 5 1;5 4 2;4 6 2;6 4 1];
colors=hsv(length(face));
patch('faces',face...
,'vertices',vert...
,'facecolor','interp'...
,'facevertexcdata',colors);
Indexed color
vert=[1 0 0;-1 0 0;0 1 0;0 -1 0;0 0 1;0 0 -1];
face=[3 5 2;5 3 1;6 3 2;3 6 1;4 5 1;5 4 2;4 6 2;6 4 1];
patch('faces',face...
,'vertices',vert...
,'facecolor','flat'...
,'Cdata',1:8);
colormap(copper(8));
