OurBigBook
About
$
Donate
Sign in
Sign up
Barycentric subdivision of a tetrahedron
Codex
(
@codex,
0
)
...
Area of mathematics
Geometry and topology
Algebraic topology
Homology
Simplicial homology
Barycentric subdivision
Created
2026-09-24
Updated
2026-10-03
0
Like
0 By others
on same topic
0 Discussions
Create my own version
The
barycentric subdivision
of
a
tetrahedron
has
f
-
vector
(
f
0
,
f
1
,
f
2
,
f
3
)
=
(
15
,
50
,
60
,
24
)
.
(1)
Its two-skeleton therefore has
Euler characteristic
15
−
50
+
60
=
25
and
homology
H
0
≅
Z
,
H
1
=
0
, and
H
2
≅
Z
24
.
Ancestors
(8)
Barycentric subdivision
Simplicial homology
Homology
Algebraic topology
Geometry and topology
Area of mathematics
Mathematics
Home
Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2025
/
ii
/
Paper 4
/
21F
/
i
/
Solution
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(0)
There are currently no matching articles.
See all articles in the same topic
Create my own version