Graphics Reference
In-Depth Information
v
3
v
2
|K|
|K|
v
1
v
0
v
1
v
0
v
2
K = {v
0
,v
1
,v
2
,v
0
v
1
}
dim K = 1
K = {v
0
,v
1
,v
2
,v
3
,v
0
v
1
,v
1
v
2
,v
2
v
3
,v
1
v
3
,v
1
v
2
v
3
}
dim K = 2
(a)
(b)
v
9
v
5
v
1
v
10
|K|
v
2
v
3
z
v
0
v
7
y
v
6
v
4
v
8
x
K has eleven 0-simplices, fifteen 1-simplices,
six 2-simplices, and one 3-simplex
dim K = 3
(c)
Figure 6.9.
Examples of simplicial complexes.
v
0
v
2
v
1
K = {v
0
,v
1
,v
0
v
1
}
L = {v
0
,v
1
,v
2
,v
0
v
2
,v
2
v
1
}
Figure 6.10.
Different decompositions of an interval.
|K| = |L|
v
2
v
2
v
1
v
1
v
4
v
0
v
0
v
3
v
3
K = {v
0
,v
1
,v
2
,v
3
,v
4
,v
0
v
4
,
v
4
v
1
,v
2
v
4
,v
4
v
3
}
A = {v
0
,v
1
,v
2
,v
0
v
1
,v
2
v
3
}
Figure 6.11.
Invalid and
valid simplicial
decompositions.
(a)
(b)