number | name | Description | Example |
0 | Isolated tetrahedron | T | |
1 | v10 | one vertex | V1 |
2 | v21 | two vertices | V1, V2 |
3 | v33 | three vertices | V1, V2, V3 |
4 | v46 | four vertices | V1, V2, V3, V4 |
5 | e10 | one edge | E12 |
6 | e20 | two opposite edges | E12, E34 |
7 | e21 | two edges sharing a vertex | E12, E23 |
8 | e32 | three edges forming a path | E12, E23, E34 |
9 | e33 | three edges sharing a vertex | E12, E13, E14 |
10 | e33F | three edges on one face | E12, E23, E31 |
11 | e44 | four edges forming a loop | E12, E23, E34, E41 |
12 | e45 | four edges not forming a loop | E12, E23, E31, E14 |
13 | e56 | five edges | E12, E13, E14, E23, E24 |
14 | e612 | six edges | E12, E13, E14, E23, E24, E34 |
15 | ev11 | one edge and one vertex | E12, V3 |
16 | ev12 | one edge and two vertices | E12, V3, V4 |
17 | ev21 | two edges and one vertex | E12, E23, V4 |
18 | ev31 | three edges and one vertex | E12, E23, E31, V4 |
19 | fe11 | one face and one edge | F123, E14 |
20 | fe12 | one face and two edges | F123, E14, E24 |
21 | fe13 | one face and three edges | F123, E14, E24, E34 |
22 | fe21 | two faces and one edge | F123, F124, E34 |
23 | f1 | one face | F123 |
24 | f2 | two faces | F123, F124 |
25 | f3 | three faces | F123, F124, F134 |
26 | f4 | four faces | F123, F124, F134, F234 |
27 | fv | one face and the opposite vertex | F123, V4 |
The example illustrates the facets on which a tetrahedron with
vertices 1 through 4 is joined. Both the reference number and the
name of each step are used internally in the software.