Table of Assembly Steps

 
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.