File: square2_vert.ref

package info (click to toggle)
normaliz 3.10.4%2Bds-1
  • links: PTS, VCS
  • area: main
  • in suites: trixie
  • size: 40,260 kB
  • sloc: cpp: 47,283; makefile: 2,207; sh: 1
file content (51 lines) | stat: -rw-r--r-- 918 bytes parent folder | download | duplicates (4)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
9 lattice points in polytope (module generators)
0 Hilbert basis elements of recession monoid
4 vertices of polyhedron
0 extreme rays of recession cone
4 support hyperplanes of polyhedron (homogenized)

embedding dimension = 3
affine dimension of the polyhedron = 2 (maximal)
rank of recession monoid = 0 (polyhedron is polytope)
internal index = 1

size of triangulation   = 3
resulting sum of |det|s = 8

dehomogenization:
0 0 1 


module rank = 9
volume (lattice normalized) = 8
volume (Euclidean) = 4

***********************************************************************

9 lattice points in polytope (module generators):
 0 0 1
 0 1 1
 0 2 1
 1 0 1
 1 1 1
 1 2 1
 2 0 1
 2 1 1
 2 2 1

0 Hilbert basis elements of recession monoid:

4 vertices of polyhedron:
 0 0 1
 0 2 1
 2 0 1
 2 2 1

0 extreme rays of recession cone:

4 support hyperplanes of polyhedron (homogenized):
 -1  0 2
  0 -1 2
  0  1 0
  1  0 0