Processing math: 100%

NS_Truss_4_(v0.6)

918 days ago by fresl

 

Prednapeti sistemi

 

       

 

Primjer 1.

 

Opis rešetke:

  • čvorovi, štapovi, ležajevi, opterećenja u čvorovima

Zadavanje čvorova:

  • rječnik čvorova:

{ oznaka0: (x0, y0, z0), oznaka1: (x1, y1, z1), oznaka2: (x2, y2, z2), ... }

  • oznakaioznaka (indeks) čvora i
  • (xi, yi, zi) koordinate čvora (os z je orijentirana „prema gore”)
  • općenito:  rječnik (dictionary) — niz uređenih parova  ključ: vrijednost  navedenih unutar vitičastih zagrada {}

Zadavanje štapova:

  • rječnik štapova:

{ oznaka0: (čvor00, čvor10), oznaka1: (čvor01, čvor11), oznaka2: (čvor02, čvor12), ... }

  • oznakaioznaka (indeks) štapa i
  • (čvor0i, čvor1i)početni i krajnji čvor štapa i

Zadavanje ležajeva:

  • lista oznaka ležajnih čvorova:

[ oznaka0, oznaka1, ... ]

Zadavanje opterećenja u čvorovima:

  • rječnik opterećenja:

{ oznaka0: (Fx0, Fy0, Fz0), oznaka1: (Fx1, Fy1, Fz1), oznaka2: (Fx2, Fy2, Fz2), ... }

  • oznakaioznaka čvora u kojem djeluje opterećenje
  • (Fxi, Fyi, Fzi)komponente čvornoga opterećenja

 

Primjer CN1. — Mreža kabela

 

       

Tvorba rječnika čvorova, rječnika štapova i liste ležajnih čvorova:

surface_net (f, lx, ly, m, n)

    • f — funkcija dviju varijabli kojom je opisana ploha na kojoj leže čvorovi mreže
    • lx, ly — duljine stranica tlocrtnoga pravokutnika nad kojim je razapeta mreža
    • m, n — broj kabela tlocrtno usporednih s osima y i x
    • rezultat: redom rječnik čvorova, rječnik štapova, lista oznaka ležajnih čvorova
       
       
       
3 * 20 - 49  ==  11  !=  0
3 * 20 - 49  ==  11  !=  0
       
[7, 8, 9, 10, 13, 14, 15, 16, 19, 20, 21, 22, 25, 26, 27, 28, 31, 32, 33, 34]
[7, 8, 9, 10, 13, 14, 15, 16, 19, 20, 21, 22, 25, 26, 27, 28, 31, 32, 33, 34]
       
60 x 49 dense matrix over Real Double Field (use the '.str()' method to see the
entries)
60 x 49 dense matrix over Real Double Field (use the '.str()' method to see the entries)
       
       
Row space:
   Vector space of degree 49 and dimension 48
Row space:
   Vector space of degree 49 and dimension 48
       
Column space:
   Vector space of degree 60 and dimension 48
Column space:
   Vector space of degree 60 and dimension 48
       
Kernel:
   Vector space of degree 49 and dimension 1
Kernel:
   Vector space of degree 49 and dimension 1
       
0:   0.9186369279044543
1:   0.7973407128633153
2:   0.7525766947068775
3:   0.7973407128633153
4:   0.9186369279044544
5:   0.9186369279044532
6:   0.7973407128633143
7:   0.7525766947068765
8:   0.7973407128633143
9:   0.9186369279044532
10:  0.9186369279044533
11:  0.7973407128633144
12:  0.7525766947068766
13:  0.7973407128633144
14:  0.9186369279044533
15:  0.9186369279044534
16:  0.7973407128633145
17:  0.7525766947068767
18:  0.7973407128633145
19:  0.9186369279044534
20:  0.9186369279044537
21:  0.7973407128633148
22:  0.7525766947068769
23:  0.7973407128633148
24:  0.9186369279044537
25:  0.9999999999999988
26:  0.849986985845191
27:  0.7640136217105626
28:  0.7640136217105626
29:  0.8499869858451911
30:  0.9999999999999989
31:  0.9999999999999997
32:  0.8499869858451917
33:  0.7640136217105632
34:  0.7640136217105632
35:  0.8499869858451917
36:  0.9999999999999996
37:  0.9999999999999979
38:  0.8499869858451902
39:  0.7640136217105618
40:  0.7640136217105618
41:  0.8499869858451902
42:  0.9999999999999978
43:  0.9999999999999999
44:  0.849986985845192
45:  0.7640136217105635
46:  0.7640136217105635
47:  0.849986985845192
48:  1.0
0:   0.9186369279044543
1:   0.7973407128633153
2:   0.7525766947068775
3:   0.7973407128633153
4:   0.9186369279044544
5:   0.9186369279044532
6:   0.7973407128633143
7:   0.7525766947068765
8:   0.7973407128633143
9:   0.9186369279044532
10:  0.9186369279044533
11:  0.7973407128633144
12:  0.7525766947068766
13:  0.7973407128633144
14:  0.9186369279044533
15:  0.9186369279044534
16:  0.7973407128633145
17:  0.7525766947068767
18:  0.7973407128633145
19:  0.9186369279044534
20:  0.9186369279044537
21:  0.7973407128633148
22:  0.7525766947068769
23:  0.7973407128633148
24:  0.9186369279044537
25:  0.9999999999999988
26:  0.849986985845191
27:  0.7640136217105626
28:  0.7640136217105626
29:  0.8499869858451911
30:  0.9999999999999989
31:  0.9999999999999997
32:  0.8499869858451917
33:  0.7640136217105632
34:  0.7640136217105632
35:  0.8499869858451917
36:  0.9999999999999996
37:  0.9999999999999979
38:  0.8499869858451902
39:  0.7640136217105618
40:  0.7640136217105618
41:  0.8499869858451902
42:  0.9999999999999978
43:  0.9999999999999999
44:  0.849986985845192
45:  0.7640136217105635
46:  0.7640136217105635
47:  0.849986985845192
48:  1.0
       
       
Left kernel:
   Vector space of degree 60 and dimension 12
Left kernel:
   Vector space of degree 60 and dimension 12
       
       
       
       
       

 

Primjer CN2. — Mreža kabela

 

       
       
       
       
3 * 20 - 49  ==  11  !=  0
3 * 20 - 49  ==  11  !=  0
       
20
20
       
60 x 49 dense matrix over Real Double Field (use the '.str()' method to see the
entries)
60 x 49 dense matrix over Real Double Field (use the '.str()' method to see the entries)
       
       
Row space:
   Vector space of degree 49 and dimension 40
Row space:
   Vector space of degree 49 and dimension 40
       
Column space:
   Vector space of degree 60 and dimension 40
Column space:
   Vector space of degree 60 and dimension 40
       
Kernel:
   Vector space of degree 49 and dimension 9
Kernel:
   Vector space of degree 49 and dimension 9
       
0:   1.0
1:   1.0
2:   1.0
3:   1.0
4:   1.0
0:   1.0
1:   1.0
2:   1.0
3:   1.0
4:   1.0
       
       
5:   1.0
6:   1.0
7:   1.0
8:   1.0
9:   1.0
5:   1.0
6:   1.0
7:   1.0
8:   1.0
9:   1.0
       
       
43:  0.9999999999999994
44:  0.9999999999999996
45:  0.9999999999999997
46:  0.9999999999999998
47:  0.9999999999999999
48:  1.0
43:  0.9999999999999994
44:  0.9999999999999996
45:  0.9999999999999997
46:  0.9999999999999998
47:  0.9999999999999999
48:  1.0
       
       
Left kernel:
   Vector space of degree 60 and dimension 20
Left kernel:
   Vector space of degree 60 and dimension 20
       
       
       


Primjer T1. — Trostrana prizma

 

       
joints:
   0:   (-1/2*sqrt(3), -1/2, 0)
   1:   (1/2*sqrt(3), -1/2, 0)
   2:   (0, 1, 0)
   3:   (-1/2*sqrt(3), -1/2, 2)
   4:   (1/2*sqrt(3), -1/2, 2)
   5:   (0, 1, 2)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 0)
   3:   (3, 4)
   4:   (4, 5)
   5:   (5, 3)
   6:   (0, 3)
   7:   (1, 4)
   8:   (2, 5)
   9:   (0, 4)
   10:  (1, 5)
   11:  (2, 3)

supports: []
joints:
   0:   (-1/2*sqrt(3), -1/2, 0)
   1:   (1/2*sqrt(3), -1/2, 0)
   2:   (0, 1, 0)
   3:   (-1/2*sqrt(3), -1/2, 2)
   4:   (1/2*sqrt(3), -1/2, 2)
   5:   (0, 1, 2)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 0)
   3:   (3, 4)
   4:   (4, 5)
   5:   (5, 3)
   6:   (0, 3)
   7:   (1, 4)
   8:   (2, 5)
   9:   (0, 4)
   10:  (1, 5)
   11:  (2, 3)

supports: []
       
       
3 * 6 - 12  ==  6  !=  0
3 * 6 - 12  ==  6  !=  0
       
[0, 1, 2, 3, 4, 5]
[0, 1, 2, 3, 4, 5]
       
(1.0000.00000.50000.00000.00000.00000.00000.00000.00000.65470.00000.00000.00000.00000.86600.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00001.0000.00000.00000.75590.00000.00001.0000.50000.00000.00000.00000.00000.00000.00000.00000.00000.32730.00000.00000.86600.00000.00000.00000.00000.00000.00000.00000.00000.56690.00000.00000.00000.00000.00000.00000.00000.00001.0000.00000.00000.75590.00000.00000.50000.50000.00000.00000.00000.00000.00000.00000.00000.00000.32730.00000.86600.86600.00000.00000.00000.00000.00000.00000.00000.00000.56690.00000.00000.00000.00000.00000.00000.00000.00001.0000.00000.00000.75590.00000.00000.00001.0000.00000.50000.00000.00000.00000.00000.00000.32730.00000.00000.00000.00000.00000.86600.00000.00000.00000.00000.00000.56690.00000.00000.00000.00000.00000.00001.0000.00000.00000.00000.00000.75590.00000.00000.00001.0000.50000.00000.00000.00000.00000.65470.00000.00000.00000.00000.00000.00000.86600.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00001.0000.00000.75590.00000.00000.00000.00000.00000.00000.50000.50000.00000.00000.00000.00000.32730.00000.00000.00000.00000.00000.86600.86600.00000.00000.00000.00000.56690.00000.00000.00000.00000.00000.00000.00000.00000.00001.0000.00000.75590.0000)
                                
                            

                                
       
       
Kernel:
   Vector space of degree 12 and dimension 0
   Basis:
     []
Kernel:
   Vector space of degree 12 and dimension 0
   Basis:
     []
       
Left kernel:
   Vector space of degree 18 and dimension 6
   Basis:
     (0.0, -0.5773502691896258, 0.43301270189221935, 0.0, 0.5773502691896258,
-0.43301270189221935, -1.0, 0.0, 0.0, 1.0, -0.5773502691896258,
0.43301270189221935, 1.0, 0.5773502691896258, -0.43301270189221935, 0.0, 0.0,
0.0)
     (1.0, 0.0, -0.43301270189221935, 1.0, 0.0, 0.43301270189221935, 1.0, 0.0,
0.0, 0.0, 0.0, -0.43301270189221935, 0.0, 0.0, 0.43301270189221935, 0.0, 0.0,
0.0)
     (0.0, 1.0, -0.75, 0.0, 1.0, -0.75, 0.0, 1.0, 0.0, 0.0, 0.0, -0.75, 0.0,
0.0, -0.75, 0.0, 0.0, 0.0)
     (0.0, 0.5773502691896258, 0.0, 0.0, -0.5773502691896258, 0.0, 1.0, 0.0,
0.0, 0.0, 0.5773502691896258, 0.0, 0.0, -0.5773502691896258, 0.0, 1.0, 0.0, 0.0)
     (0.0, 0.0, 0.75, 0.0, 0.0, 0.75, 0.0, 0.0, 0.0, 0.0, 1.0, 0.75, 0.0, 1.0,
0.75, 0.0, 1.0, 0.0)
     (0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0,
0.0, 0.0, 1.0)
Left kernel:
   Vector space of degree 18 and dimension 6
   Basis:
     (0.0, -0.5773502691896258, 0.43301270189221935, 0.0, 0.5773502691896258, -0.43301270189221935, -1.0, 0.0, 0.0, 1.0, -0.5773502691896258, 0.43301270189221935, 1.0, 0.5773502691896258, -0.43301270189221935, 0.0, 0.0, 0.0)
     (1.0, 0.0, -0.43301270189221935, 1.0, 0.0, 0.43301270189221935, 1.0, 0.0, 0.0, 0.0, 0.0, -0.43301270189221935, 0.0, 0.0, 0.43301270189221935, 0.0, 0.0, 0.0)
     (0.0, 1.0, -0.75, 0.0, 1.0, -0.75, 0.0, 1.0, 0.0, 0.0, 0.0, -0.75, 0.0, 0.0, -0.75, 0.0, 0.0, 0.0)
     (0.0, 0.5773502691896258, 0.0, 0.0, -0.5773502691896258, 0.0, 1.0, 0.0, 0.0, 0.0, 0.5773502691896258, 0.0, 0.0, -0.5773502691896258, 0.0, 1.0, 0.0, 0.0)
     (0.0, 0.0, 0.75, 0.0, 0.0, 0.75, 0.0, 0.0, 0.0, 0.0, 1.0, 0.75, 0.0, 1.0, 0.75, 0.0, 1.0, 0.0)
     (0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0)
       
       
       
       


Primjer T2. — Trostrana „zakrenuta” prizma

       
joints:
   0:   (-1/2*sqrt(3), -1/2, 0)
   1:   (1/2*sqrt(3), -1/2, 0)
   2:   (0, 1, 0)
   3:   (0, -1, 2)
   4:   (1/2*sqrt(3), 1/2, 2)
   5:   (-1/2*sqrt(3), 1/2, 2)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 0)
   3:   (3, 4)
   4:   (4, 5)
   5:   (5, 3)
   6:   (0, 3)
   7:   (1, 4)
   8:   (2, 5)
   9:   (0, 4)
   10:  (1, 5)
   11:  (2, 3)

supports: []
joints:
   0:   (-1/2*sqrt(3), -1/2, 0)
   1:   (1/2*sqrt(3), -1/2, 0)
   2:   (0, 1, 0)
   3:   (0, -1, 2)
   4:   (1/2*sqrt(3), 1/2, 2)
   5:   (-1/2*sqrt(3), 1/2, 2)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 0)
   3:   (3, 4)
   4:   (4, 5)
   5:   (5, 3)
   6:   (0, 3)
   7:   (1, 4)
   8:   (2, 5)
   9:   (0, 4)
   10:  (1, 5)
   11:  (2, 3)

supports: []
       
       
3 * 6 - 12  ==  6  !=  0
3 * 6 - 12  ==  6  !=  0
       
[0, 1, 2, 3, 4, 5]
[0, 1, 2, 3, 4, 5]
       
(1.0000.00000.50000.00000.00000.00000.38730.00000.00000.61240.00000.00000.00000.00000.86600.00000.00000.00000.22360.00000.00000.35360.00000.00000.00000.00000.00000.00000.00000.00000.89440.00000.00000.70710.00000.00001.0000.50000.00000.00000.00000.00000.00000.00000.00000.00000.61240.00000.00000.86600.00000.00000.00000.00000.00000.44720.00000.00000.35360.00000.00000.00000.00000.00000.00000.00000.00000.89440.00000.00000.70710.00000.00000.50000.50000.00000.00000.00000.00000.00000.38730.00000.00000.00000.00000.86600.86600.00000.00000.00000.00000.00000.22360.00000.00000.70710.00000.00000.00000.00000.00000.00000.00000.00000.89440.00000.00000.70710.00000.00000.00000.50000.00000.50000.38730.00000.00000.00000.00000.00000.00000.00000.00000.86600.00000.86600.22360.00000.00000.00000.00000.70710.00000.00000.00000.00000.00000.00000.89440.00000.00000.00000.00000.70710.00000.00000.00000.50001.0000.00000.00000.00000.00000.61240.00000.00000.00000.00000.00000.86600.00000.00000.00000.44720.00000.35360.00000.00000.00000.00000.00000.00000.00000.00000.00000.89440.00000.70710.00000.00000.00000.00000.00000.00001.0000.50000.00000.00000.38730.00000.61240.00000.00000.00000.00000.00000.00000.86600.00000.00000.22360.00000.35360.00000.00000.00000.00000.00000.00000.00000.00000.00000.89440.00000.70710.0000)
                                
                            

                                
       
       
Kernel:
   Vector space of degree 12 and dimension 0
   Basis:
     []
Kernel:
   Vector space of degree 12 and dimension 0
   Basis:
     []
       
Left kernel:
   Vector space of degree 18 and dimension 6
   Basis:
     (0.0, 1.0, -0.5, 0.0, 1.0, -0.5, 0.0, 1.0, 0.25, 0.0, 0.0, -0.75, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0)
     (0.0, -0.49999999999999994, 0.24999999999999992, 0.0, 0.49999999999999994,
-0.25000000000000006, -0.8660254037844385, 0.0, -0.37499999999999994,
0.8660254037844385, 0.5, 0.12499999999999994, 0.0, 1.0, -0.5, 0.0, 0.0, 0.0)
     (1.0, 0.0, 1.1102230246251565e-16, 1.0, 0.0, 0.8660254037844387, 1.0, 0.0,
0.4330127018922193, 0.0, 0.0, 0.4330127018922195, 0.0, 0.0, 0.8660254037844386,
0.0, 0.0, 0.0)
     (0.0, 0.0, 0.0, 0.0, 0.0, -0.8660254037844386, 0.0, 0.0,
-0.43301270189221935, 1.0, 0.0, -0.43301270189221935, 1.0, 0.0,
-0.8660254037844386, 1.0, 0.0, 0.0)
     (0.0, 0.49999999999999994, 0.2500000000000001, 0.0, -0.49999999999999994,
0.75, 0.8660254037844385, 0.0, 0.12499999999999994, -0.8660254037844385, 0.5,
0.625, 0.0, 0.0, 0.5, 0.0, 1.0, 0.0)
     (0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0,
0.0, 0.0, 1.0)
Left kernel:
   Vector space of degree 18 and dimension 6
   Basis:
     (0.0, 1.0, -0.5, 0.0, 1.0, -0.5, 0.0, 1.0, 0.25, 0.0, 0.0, -0.75, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0)
     (0.0, -0.49999999999999994, 0.24999999999999992, 0.0, 0.49999999999999994, -0.25000000000000006, -0.8660254037844385, 0.0, -0.37499999999999994, 0.8660254037844385, 0.5, 0.12499999999999994, 0.0, 1.0, -0.5, 0.0, 0.0, 0.0)
     (1.0, 0.0, 1.1102230246251565e-16, 1.0, 0.0, 0.8660254037844387, 1.0, 0.0, 0.4330127018922193, 0.0, 0.0, 0.4330127018922195, 0.0, 0.0, 0.8660254037844386, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.0, 0.0, 0.0, -0.8660254037844386, 0.0, 0.0, -0.43301270189221935, 1.0, 0.0, -0.43301270189221935, 1.0, 0.0, -0.8660254037844386, 1.0, 0.0, 0.0)
     (0.0, 0.49999999999999994, 0.2500000000000001, 0.0, -0.49999999999999994, 0.75, 0.8660254037844385, 0.0, 0.12499999999999994, -0.8660254037844385, 0.5, 0.625, 0.0, 0.0, 0.5, 0.0, 1.0, 0.0)
     (0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0)
       
       


Primjer T3. — Trostrani prizmatični tensegrity

 

       
joints:
   0:   (-1/2*sqrt(3), -1/2, 0)
   1:   (1/2*sqrt(3), -1/2, 0)
   2:   (0, 1, 0)
   3:   (-1/2, -1/2*sqrt(3), 2)
   4:   (1, 0, 2)
   5:   (-1/2, 1/2*sqrt(3), 2)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 0)
   3:   (3, 4)
   4:   (4, 5)
   5:   (5, 3)
   6:   (0, 3)
   7:   (1, 4)
   8:   (2, 5)
   9:   (0, 4)
   10:  (1, 5)
   11:  (2, 3)

supports: []
joints:
   0:   (-1/2*sqrt(3), -1/2, 0)
   1:   (1/2*sqrt(3), -1/2, 0)
   2:   (0, 1, 0)
   3:   (-1/2, -1/2*sqrt(3), 2)
   4:   (1, 0, 2)
   5:   (-1/2, 1/2*sqrt(3), 2)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 0)
   3:   (3, 4)
   4:   (4, 5)
   5:   (5, 3)
   6:   (0, 3)
   7:   (1, 4)
   8:   (2, 5)
   9:   (0, 4)
   10:  (1, 5)
   11:  (2, 3)

supports: []
       
       
3 * 6 - 12  ==  6  !=  0
3 * 6 - 12  ==  6  !=  0
       
[0, 1, 2, 3, 4, 5]
[0, 1, 2, 3, 4, 5]
       
(1.0000.00000.50000.00000.00000.00000.17720.00000.00000.67110.00000.00000.00000.00000.86600.00000.00000.00000.17720.00000.00000.17980.00000.00000.00000.00000.00000.00000.00000.00000.96810.00000.00000.71930.00000.00001.0000.50000.00000.00000.00000.00000.00000.064850.00000.00000.49130.00000.00000.86600.00000.00000.00000.00000.00000.24200.00000.00000.49130.00000.00000.00000.00000.00000.00000.00000.00000.96810.00000.00000.71930.00000.00000.50000.50000.00000.00000.00000.00000.00000.24200.00000.00000.17980.00000.86600.86600.00000.00000.00000.00000.00000.064850.00000.00000.67110.00000.00000.00000.00000.00000.00000.00000.00000.96810.00000.00000.71930.00000.00000.00000.86600.00000.00000.17720.00000.00000.00000.00000.17980.00000.00000.00000.50000.00001.0000.17720.00000.00000.00000.00000.67110.00000.00000.00000.00000.00000.00000.96810.00000.00000.00000.00000.71930.00000.00000.00000.86600.86600.00000.00000.064850.00000.67110.00000.00000.00000.00000.00000.50000.50000.00000.00000.24200.00000.17980.00000.00000.00000.00000.00000.00000.00000.00000.00000.96810.00000.71930.00000.00000.00000.00000.00000.00000.86600.00000.00000.00000.24200.00000.49130.00000.00000.00000.00000.00000.50001.0000.00000.00000.064850.00000.49130.00000.00000.00000.00000.00000.00000.00000.00000.00000.96810.00000.71930.0000)
                                
                            

                                
       
       
Row space:
   Vector space of degree 12 and dimension 11
   Basis:
     (1.0, 0.0, 0.5000000000000001, 0.0, 0.0, 0.0, 0.17717466000345752, 0.0,
0.0, 0.6710736745934498, 0.0, 0.0)
     (0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.2794664976500341, 0.0, 0.0,
0.5672582158417004, 0.0)
     (0.0, 0.0, 1.0, 0.0, 0.0, 0.0, -0.20458367529315324, 0.0, 0.0,
0.20763091750349863, 0.0, 0.0)
     (0.0, 0.0, 0.0, 1.0, 0.0, 0.0, -0.20458367529315324, 0.0, 0.0, 0.0, 0.0,
0.20763091750349863)
     (0.0, 0.0, 0.0, 0.0, 1.0, -0.0, 0.20458367529315324, 0.07488282235688086,
-0.0, 0.774889133345199, -0.0, -0.20763091750349863)
     (0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.2794664976500342, 0.0, 0.0, 0.0, 0.0,
0.5672582158417004)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, -0.0, -0.0, -0.0, -0.0,
0.7429545911564234)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.7429545911564233, 0.0)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.7429545911564233)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0,
-0.9999999999999999)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0,
-0.9999999999999999)
Row space:
   Vector space of degree 12 and dimension 11
   Basis:
     (1.0, 0.0, 0.5000000000000001, 0.0, 0.0, 0.0, 0.17717466000345752, 0.0, 0.0, 0.6710736745934498, 0.0, 0.0)
     (0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.2794664976500341, 0.0, 0.0, 0.5672582158417004, 0.0)
     (0.0, 0.0, 1.0, 0.0, 0.0, 0.0, -0.20458367529315324, 0.0, 0.0, 0.20763091750349863, 0.0, 0.0)
     (0.0, 0.0, 0.0, 1.0, 0.0, 0.0, -0.20458367529315324, 0.0, 0.0, 0.0, 0.0, 0.20763091750349863)
     (0.0, 0.0, 0.0, 0.0, 1.0, -0.0, 0.20458367529315324, 0.07488282235688086, -0.0, 0.774889133345199, -0.0, -0.20763091750349863)
     (0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.2794664976500342, 0.0, 0.0, 0.0, 0.0, 0.5672582158417004)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, -0.0, -0.0, -0.0, -0.0, 0.7429545911564234)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.7429545911564233, 0.0)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.7429545911564233)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, -0.9999999999999999)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, -0.9999999999999999)
       
Column space:
   Vector space of degree 18 and dimension 11
   Basis:
     (1.0, 0.0, 0.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.0, -0.5000000000000001, 0.8660254037844387, 0.0,
0.5000000000000001, -0.8660254037844387, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0)
     (0.5000000000000001, 0.8660254037844387, 0.0, 0.0, 0.0, 0.0,
-0.5000000000000001, -0.8660254037844387, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0, 0.0)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.8660254037844387,
0.5000000000000001, 0.0, -0.8660254037844387, -0.5000000000000001, 0.0, 0.0,
0.0, 0.0)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-0.8660254037844387, 0.5000000000000001, 0.0, 0.8660254037844387,
-0.5000000000000001, 0.0)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0,
0.0, -1.0, 0.0)
     (0.17717466000345752, -0.17717466000345752, 0.9681003458863746, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0, -0.17717466000345752, 0.17717466000345752,
-0.9681003458863746, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.0, 0.06485042646813614, 0.2420250864715937,
0.9681003458863748, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.06485042646813614,
-0.2420250864715937, -0.9681003458863748, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.2420250864715937, -0.06485042646813614,
0.9681003458863748, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.2420250864715937,
0.06485042646813614, -0.9681003458863748)
     (0.6710736745934498, 0.1798136491691009, 0.7192545966764036, 0.0, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.6710736745934498, -0.1798136491691009,
-0.7192545966764036, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.0, -0.49126002542434893, 0.49126002542434893,
0.7192545966764036, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.49126002542434893, -0.49126002542434893, -0.7192545966764036)
Column space:
   Vector space of degree 18 and dimension 11
   Basis:
     (1.0, 0.0, 0.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.0, -0.5000000000000001, 0.8660254037844387, 0.0, 0.5000000000000001, -0.8660254037844387, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0)
     (0.5000000000000001, 0.8660254037844387, 0.0, 0.0, 0.0, 0.0, -0.5000000000000001, -0.8660254037844387, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.8660254037844387, 0.5000000000000001, 0.0, -0.8660254037844387, -0.5000000000000001, 0.0, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.8660254037844387, 0.5000000000000001, 0.0, 0.8660254037844387, -0.5000000000000001, 0.0)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0)
     (0.17717466000345752, -0.17717466000345752, 0.9681003458863746, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.17717466000345752, 0.17717466000345752, -0.9681003458863746, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.0, 0.06485042646813614, 0.2420250864715937, 0.9681003458863748, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.06485042646813614, -0.2420250864715937, -0.9681003458863748, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.2420250864715937, -0.06485042646813614, 0.9681003458863748, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.2420250864715937, 0.06485042646813614, -0.9681003458863748)
     (0.6710736745934498, 0.1798136491691009, 0.7192545966764036, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.6710736745934498, -0.1798136491691009, -0.7192545966764036, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.0, -0.49126002542434893, 0.49126002542434893, 0.7192545966764036, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.49126002542434893, -0.49126002542434893, -0.7192545966764036)
       
Kernel:
   Vector space of degree 12 and dimension 1
   Basis:
     (-0.3596272983382016, -0.35962729833820173, -0.35962729833820173,
-0.3596272983382018, -0.35962729833820173, -0.35962729833820173,
-0.7429545911564234, -0.7429545911564231, -0.7429545911564233,
0.9999999999999999, 0.9999999999999999, 1.0)
Kernel:
   Vector space of degree 12 and dimension 1
   Basis:
     (-0.3596272983382016, -0.35962729833820173, -0.35962729833820173, -0.3596272983382018, -0.35962729833820173, -0.35962729833820173, -0.7429545911564234, -0.7429545911564231, -0.7429545911564233, 0.9999999999999999, 0.9999999999999999, 1.0)
       
0:   -0.3596272983382016
1:   -0.35962729833820173
2:   -0.35962729833820173
3:   -0.3596272983382018
4:   -0.35962729833820173
5:   -0.35962729833820173
6:   -0.7429545911564234
7:   -0.7429545911564231
8:   -0.7429545911564233
9:   0.9999999999999999
10:  0.9999999999999999
11:  1.0
0:   -0.3596272983382016
1:   -0.35962729833820173
2:   -0.35962729833820173
3:   -0.3596272983382018
4:   -0.35962729833820173
5:   -0.35962729833820173
6:   -0.7429545911564234
7:   -0.7429545911564231
8:   -0.7429545911564233
9:   0.9999999999999999
10:  0.9999999999999999
11:  1.0
       
0:   0.3596272983382016
1:   0.35962729833820173
2:   0.35962729833820173
3:   0.3596272983382018
4:   0.35962729833820173
5:   0.35962729833820173
6:   0.7429545911564234
7:   0.7429545911564231
8:   0.7429545911564233
9:   -0.9999999999999999
10:  -0.9999999999999999
11:  -1.0
0:   0.3596272983382016
1:   0.35962729833820173
2:   0.35962729833820173
3:   0.3596272983382018
4:   0.35962729833820173
5:   0.35962729833820173
6:   0.7429545911564234
7:   0.7429545911564231
8:   0.7429545911564233
9:   -0.9999999999999999
10:  -0.9999999999999999
11:  -1.0
       
       
Left kernel:
   Vector space of degree 18 and dimension 7
   Basis:
     (1.0, -0.5773502691896258, -0.28867513459481287, 1.0, 0.5773502691896258,
0.28867513459481287, 0.0, 0.0, 0.0, 0.0, 0.0, 5.551115123125783e-17, 0.0, 0.0,
0.5, 0.0, 0.0, 0.0)
     (0.0, 0.5773502691896258, 0.10566243270259365, 0.0, -0.5773502691896258,
0.39433756729740654, 1.0, 0.0, 0.25, 0.0, 0.0, 5.551115123125783e-17, 0.0, 0.0,
0.2500000000000001, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.5000000000000002, 0.0, 0.0, -5.551115123125783e-17, 0.0, 0.0,
0.0, 1.1547005383792517, 0.0, 0.28867513459481303, 0.5773502691896258, 1.0,
-0.2886751345948129, 0.0, 0.0, 0.0)
     (0.0, 1.0, -0.6830127018922194, 0.0, 1.0, -0.6830127018922194, 0.0, 1.0,
0.06698729810778065, 0.0, 0.0, -0.8660254037844388, 0.0, 0.0,
-0.43301270189221946, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.1830127018922193, 0.0, 0.0, -0.6830127018922194, 0.0, 0.0,
-0.25, 1.0, 0.0, -1.1102230246251565e-16, 1.0, 0.0, -0.7500000000000001, 1.0,
0.0, 0.0)
     (0.0, 0.0, 0.1830127018922193, 0.0, 0.0, 0.6830127018922194, 0.0, 0.0,
-0.06698729810778065, -1.1547005383792517, 1.0, 0.577350269189626,
-0.5773502691896258, 0.0, 0.7216878364870323, 0.0, 1.0, 0.0)
     (0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0,
0.0, 0.0, 1.0)
Left kernel:
   Vector space of degree 18 and dimension 7
   Basis:
     (1.0, -0.5773502691896258, -0.28867513459481287, 1.0, 0.5773502691896258, 0.28867513459481287, 0.0, 0.0, 0.0, 0.0, 0.0, 5.551115123125783e-17, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0)
     (0.0, 0.5773502691896258, 0.10566243270259365, 0.0, -0.5773502691896258, 0.39433756729740654, 1.0, 0.0, 0.25, 0.0, 0.0, 5.551115123125783e-17, 0.0, 0.0, 0.2500000000000001, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.5000000000000002, 0.0, 0.0, -5.551115123125783e-17, 0.0, 0.0, 0.0, 1.1547005383792517, 0.0, 0.28867513459481303, 0.5773502691896258, 1.0, -0.2886751345948129, 0.0, 0.0, 0.0)
     (0.0, 1.0, -0.6830127018922194, 0.0, 1.0, -0.6830127018922194, 0.0, 1.0, 0.06698729810778065, 0.0, 0.0, -0.8660254037844388, 0.0, 0.0, -0.43301270189221946, 0.0, 0.0, 0.0)
     (0.0, 0.0, 0.1830127018922193, 0.0, 0.0, -0.6830127018922194, 0.0, 0.0, -0.25, 1.0, 0.0, -1.1102230246251565e-16, 1.0, 0.0, -0.7500000000000001, 1.0, 0.0, 0.0)
     (0.0, 0.0, 0.1830127018922193, 0.0, 0.0, 0.6830127018922194, 0.0, 0.0, -0.06698729810778065, -1.1547005383792517, 1.0, 0.577350269189626, -0.5773502691896258, 0.0, 0.7216878364870323, 0.0, 1.0, 0.0)
     (0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0)
       
       
       
       

 

  •  s ležajevima

 

       
joints:
   0:   (-1/2*sqrt(3), -1/2, 0)
   1:   (1/2*sqrt(3), -1/2, 0)
   2:   (0, 1, 0)
   3:   (-1/2, -1/2*sqrt(3), 2)
   4:   (1, 0, 2)
   5:   (-1/2, 1/2*sqrt(3), 2)
   6:   (-1/2*sqrt(3) - 0.300000000000000, -1/2, 0)
   7:   (-1/2*sqrt(3), -0.800000000000000, 0)
   8:   (-1/2*sqrt(3), -1/2, -0.300000000000000)
   9:   (1/2*sqrt(3), -0.800000000000000, 0)
   10:  (1/2*sqrt(3), -1/2, -0.300000000000000)
   11:  (0, 1, -0.300000000000000)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 0)
   3:   (3, 4)
   4:   (4, 5)
   5:   (5, 3)
   6:   (0, 3)
   7:   (1, 4)
   8:   (2, 5)
   9:   (0, 4)
   10:  (1, 5)
   11:  (2, 3)
   12:  (0, 6)
   13:  (0, 7)
   14:  (0, 8)
   15:  (1, 9)
   16:  (1, 10)
   17:  (2, 11)

supports: [6, 7, 8, 9, 10, 11]
joints:
   0:   (-1/2*sqrt(3), -1/2, 0)
   1:   (1/2*sqrt(3), -1/2, 0)
   2:   (0, 1, 0)
   3:   (-1/2, -1/2*sqrt(3), 2)
   4:   (1, 0, 2)
   5:   (-1/2, 1/2*sqrt(3), 2)
   6:   (-1/2*sqrt(3) - 0.300000000000000, -1/2, 0)
   7:   (-1/2*sqrt(3), -0.800000000000000, 0)
   8:   (-1/2*sqrt(3), -1/2, -0.300000000000000)
   9:   (1/2*sqrt(3), -0.800000000000000, 0)
   10:  (1/2*sqrt(3), -1/2, -0.300000000000000)
   11:  (0, 1, -0.300000000000000)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 0)
   3:   (3, 4)
   4:   (4, 5)
   5:   (5, 3)
   6:   (0, 3)
   7:   (1, 4)
   8:   (2, 5)
   9:   (0, 4)
   10:  (1, 5)
   11:  (2, 3)
   12:  (0, 6)
   13:  (0, 7)
   14:  (0, 8)
   15:  (1, 9)
   16:  (1, 10)
   17:  (2, 11)

supports: [6, 7, 8, 9, 10, 11]
       
       
3 * 6 - 18  ==  0
3 * 6 - 18  ==  0
       
[0, 1, 2, 3, 4, 5]
[0, 1, 2, 3, 4, 5]
       
(1.0000.00000.50000.00000.00000.00000.17720.00000.00000.67110.00000.00001.0000.00000.00000.00000.00000.00000.00000.00000.86600.00000.00000.00000.17720.00000.00000.17980.00000.00000.00001.0000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.96810.00000.00000.71930.00000.00000.00000.00001.0000.00000.00000.00001.0000.50000.00000.00000.00000.00000.00000.064850.00000.00000.49130.00000.00000.00000.00000.00000.00000.00000.00000.86600.00000.00000.00000.00000.00000.24200.00000.00000.49130.00000.00000.00000.00001.0000.00000.00000.00000.00000.00000.00000.00000.00000.00000.96810.00000.00000.71930.00000.00000.00000.00000.00001.0000.00000.00000.50000.50000.00000.00000.00000.00000.00000.24200.00000.00000.17980.00000.00000.00000.00000.00000.00000.00000.86600.86600.00000.00000.00000.00000.00000.064850.00000.00000.67110.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.96810.00000.00000.71930.00000.00000.00000.00000.00001.0000.00000.00000.00000.86600.00000.00000.17720.00000.00000.00000.00000.17980.00000.00000.00000.00000.00000.00000.00000.00000.00000.50000.00001.0000.17720.00000.00000.00000.00000.67110.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.96810.00000.00000.00000.00000.71930.00000.00000.00000.00000.00000.00000.00000.00000.00000.86600.86600.00000.00000.064850.00000.67110.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.50000.50000.00000.00000.24200.00000.17980.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.96810.00000.71930.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.86600.00000.00000.00000.24200.00000.49130.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.50001.0000.00000.00000.064850.00000.49130.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.96810.00000.71930.00000.00000.00000.00000.00000.00000.0000)
                                
                            

                                
       
       
Row space:
   Vector space of degree 18 and dimension 17
Row space:
   Vector space of degree 18 and dimension 17
       
Column space:
   Vector space of degree 18 and dimension 17
Column space:
   Vector space of degree 18 and dimension 17
       
Kernel:
   Vector space of degree 18 and dimension 1
   Basis:
     (-0.3596272983382016, -0.35962729833820173, -0.35962729833820173,
-0.3596272983382018, -0.3596272983382016, -0.35962729833820173,
-0.7429545911564234, -0.7429545911564231, -0.7429545911564233,
0.9999999999999998, 0.9999999999999998, 1.0, 9.92914159000831e-17,
3.519265968729763e-17, -1.1102230246251565e-16, -0.0, -0.0, -0.0)
Kernel:
   Vector space of degree 18 and dimension 1
   Basis:
     (-0.3596272983382016, -0.35962729833820173, -0.35962729833820173, -0.3596272983382018, -0.3596272983382016, -0.35962729833820173, -0.7429545911564234, -0.7429545911564231, -0.7429545911564233, 0.9999999999999998, 0.9999999999999998, 1.0, 9.92914159000831e-17, 3.519265968729763e-17, -1.1102230246251565e-16, -0.0, -0.0, -0.0)
       
0:   0.3596272983382016
1:   0.35962729833820173
2:   0.35962729833820173
3:   0.3596272983382018
4:   0.3596272983382016
5:   0.35962729833820173
6:   0.7429545911564234
7:   0.7429545911564231
8:   0.7429545911564233
9:   -0.9999999999999998
10:  -0.9999999999999998
11:  -1.0
12:  0.0
13:  0.0
14:  0.0
15:  0.0
16:  0.0
17:  0.0
0:   0.3596272983382016
1:   0.35962729833820173
2:   0.35962729833820173
3:   0.3596272983382018
4:   0.3596272983382016
5:   0.35962729833820173
6:   0.7429545911564234
7:   0.7429545911564231
8:   0.7429545911564233
9:   -0.9999999999999998
10:  -0.9999999999999998
11:  -1.0
12:  0.0
13:  0.0
14:  0.0
15:  0.0
16:  0.0
17:  0.0
       
       
Left kernel:
   Vector space of degree 18 and dimension 1
   Basis:
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.8660254037844388,
-0.5000000000000004, -0.25000000000000017, -1.1102230246251565e-16, 1.0, -0.25,
-0.866025403784439, -0.5000000000000004, -0.2500000000000001)
Left kernel:
   Vector space of degree 18 and dimension 1
   Basis:
     (0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.8660254037844388, -0.5000000000000004, -0.25000000000000017, -1.1102230246251565e-16, 1.0, -0.25, -0.866025403784439, -0.5000000000000004, -0.2500000000000001)
       

 

Primjer T4. — (Još jedan) trostrani prizmatični tensegrity

 

       
joints:
   0:   (1/2, 1/2*sqrt(3), 0)
   1:   (0, 0, 0)
   2:   (1, 0, 0)
   3:   (0, 0, 1.25000000000000)
   4:   (1/2*sqrt(3), 1/2, 1.25000000000000)
   5:   (0, 1, 1.25000000000000)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 0)
   3:   (3, 4)
   4:   (4, 5)
   5:   (5, 3)
   6:   (0, 5)
   7:   (1, 3)
   8:   (2, 4)
   9:   (0, 3)
   10:  (1, 4)
   11:  (2, 5)

supports: []
joints:
   0:   (1/2, 1/2*sqrt(3), 0)
   1:   (0, 0, 0)
   2:   (1, 0, 0)
   3:   (0, 0, 1.25000000000000)
   4:   (1/2*sqrt(3), 1/2, 1.25000000000000)
   5:   (0, 1, 1.25000000000000)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 0)
   3:   (3, 4)
   4:   (4, 5)
   5:   (5, 3)
   6:   (0, 5)
   7:   (1, 3)
   8:   (2, 4)
   9:   (0, 3)
   10:  (1, 4)
   11:  (2, 5)

supports: []
       
       
3 * 6 - 12  ==  6  !=  0
3 * 6 - 12  ==  6  !=  0
       
[0, 1, 2, 3, 4, 5]
[0, 1, 2, 3, 4, 5]
       
(0.50000.00000.50000.00000.00000.00000.36960.00000.00000.31230.00000.00000.86600.00000.86600.00000.00000.00000.099020.00000.00000.54100.00000.00000.00000.00000.00000.00000.00000.00000.92390.00000.00000.78090.00000.00000.50001.0000.00000.00000.00000.00000.00000.00000.00000.00000.54100.00000.86600.00000.00000.00000.00000.00000.00000.00000.00000.00000.31230.00000.00000.00000.00000.00000.00000.00000.00001.0000.00000.00000.78090.00000.00001.0000.50000.00000.00000.00000.00000.00000.099020.00000.00000.52980.00000.00000.86600.00000.00000.00000.00000.00000.36960.00000.00000.52980.00000.00000.00000.00000.00000.00000.00000.00000.92390.00000.00000.66230.00000.00000.00000.86600.00000.00000.00000.00000.00000.31230.00000.00000.00000.00000.00000.50000.00001.0000.00000.00000.00000.54100.00000.00000.00000.00000.00000.00000.00000.00000.00001.0000.00000.78090.00000.00000.00000.00000.00000.86600.86600.00000.00000.00000.099020.00000.54100.00000.00000.00000.00000.50000.50000.00000.00000.00000.36960.00000.31230.00000.00000.00000.00000.00000.00000.00000.00000.00000.92390.00000.78090.00000.00000.00000.00000.00000.86600.00000.36960.00000.00000.00000.00000.52980.00000.00000.00000.00000.50001.0000.099020.00000.00000.00000.00000.52980.00000.00000.00000.00000.00000.00000.92390.00000.00000.00000.00000.6623)
                                
                            

                                
       
       
Row space:
   Vector space of degree 12 and dimension 11
Row space:
   Vector space of degree 12 and dimension 11
       
Column space:
   Vector space of degree 18 and dimension 11
Column space:
   Vector space of degree 18 and dimension 11
       
Kernel:
   Vector space of degree 12 and dimension 1
   Basis:
     (-0.3058876451607489, -0.30588764516074907, -0.305887645160749,
-0.30588764516074896, -0.30588764516074896, -0.305887645160749,
-0.716805621929536, -0.6622661785325219, -0.716805621929536, 0.8481145238787241,
0.8481145238787241, 1.0)
Kernel:
   Vector space of degree 12 and dimension 1
   Basis:
     (-0.3058876451607489, -0.30588764516074907, -0.305887645160749, -0.30588764516074896, -0.30588764516074896, -0.305887645160749, -0.716805621929536, -0.6622661785325219, -0.716805621929536, 0.8481145238787241, 0.8481145238787241, 1.0)
       
0:   0.3058876451607489
1:   0.30588764516074907
2:   0.305887645160749
3:   0.30588764516074896
4:   0.30588764516074896
5:   0.305887645160749
6:   0.716805621929536
7:   0.6622661785325219
8:   0.716805621929536
9:   -0.8481145238787241
10:  -0.8481145238787241
11:  -1.0
0:   0.3058876451607489
1:   0.30588764516074907
2:   0.305887645160749
3:   0.30588764516074896
4:   0.30588764516074896
5:   0.305887645160749
6:   0.716805621929536
7:   0.6622661785325219
8:   0.716805621929536
9:   -0.8481145238787241
10:  -0.8481145238787241
11:  -1.0
       
       
Left kernel:
   Vector space of degree 18 and dimension 7
Left kernel:
   Vector space of degree 18 and dimension 7

 

  •  s ležajevima

 

       
joints:
   0:   (1/2, 1/2*sqrt(3), 0)
   1:   (0, 0, 0)
   2:   (1, 0, 0)
   3:   (0, 0, 1.25000000000000)
   4:   (1/2*sqrt(3), 1/2, 1.25000000000000)
   5:   (0, 1, 1.25000000000000)
   6:   (1/2, 1/2*sqrt(3), -0.300000000000000)
   7:   (-0.300000000000000, 0, 0)
   8:   (0, -0.300000000000000, 0)
   9:   (0, 0, -0.300000000000000)
   10:  (1, -0.300000000000000, 0)
   11:  (1, 0, -0.300000000000000)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 0)
   3:   (3, 4)
   4:   (4, 5)
   5:   (5, 3)
   6:   (0, 5)
   7:   (1, 3)
   8:   (2, 4)
   9:   (0, 3)
   10:  (1, 4)
   11:  (2, 5)
   12:  (0, 6)
   13:  (1, 7)
   14:  (1, 8)
   15:  (1, 9)
   16:  (2, 10)
   17:  (2, 11)

supports: [6, 7, 8, 9, 10, 11]
joints:
   0:   (1/2, 1/2*sqrt(3), 0)
   1:   (0, 0, 0)
   2:   (1, 0, 0)
   3:   (0, 0, 1.25000000000000)
   4:   (1/2*sqrt(3), 1/2, 1.25000000000000)
   5:   (0, 1, 1.25000000000000)
   6:   (1/2, 1/2*sqrt(3), -0.300000000000000)
   7:   (-0.300000000000000, 0, 0)
   8:   (0, -0.300000000000000, 0)
   9:   (0, 0, -0.300000000000000)
   10:  (1, -0.300000000000000, 0)
   11:  (1, 0, -0.300000000000000)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 0)
   3:   (3, 4)
   4:   (4, 5)
   5:   (5, 3)
   6:   (0, 5)
   7:   (1, 3)
   8:   (2, 4)
   9:   (0, 3)
   10:  (1, 4)
   11:  (2, 5)
   12:  (0, 6)
   13:  (1, 7)
   14:  (1, 8)
   15:  (1, 9)
   16:  (2, 10)
   17:  (2, 11)

supports: [6, 7, 8, 9, 10, 11]
       
       
3 * 6 - 18  ==  0
3 * 6 - 18  ==  0
       
[0, 1, 2, 3, 4, 5]
[0, 1, 2, 3, 4, 5]
       
(0.50000.00000.50000.00000.00000.00000.36960.00000.00000.31230.00000.00000.00000.00000.00000.00000.00000.00000.86600.00000.86600.00000.00000.00000.099020.00000.00000.54100.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.92390.00000.00000.78090.00000.00001.0000.00000.00000.00000.00000.00000.50001.0000.00000.00000.00000.00000.00000.00000.00000.00000.54100.00000.00001.0000.00000.00000.00000.00000.86600.00000.00000.00000.00000.00000.00000.00000.00000.00000.31230.00000.00000.00001.0000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00001.0000.00000.00000.78090.00000.00000.00000.00001.0000.00000.00000.00001.0000.50000.00000.00000.00000.00000.00000.099020.00000.00000.52980.00000.00000.00000.00000.00000.00000.00000.00000.86600.00000.00000.00000.00000.00000.36960.00000.00000.52980.00000.00000.00000.00001.0000.00000.00000.00000.00000.00000.00000.00000.00000.00000.92390.00000.00000.66230.00000.00000.00000.00000.00001.0000.00000.00000.00000.86600.00000.00000.00000.00000.00000.31230.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.50000.00001.0000.00000.00000.00000.54100.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00001.0000.00000.78090.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.86600.86600.00000.00000.00000.099020.00000.54100.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.50000.50000.00000.00000.00000.36960.00000.31230.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.92390.00000.78090.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.86600.00000.36960.00000.00000.00000.00000.52980.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.50001.0000.099020.00000.00000.00000.00000.52980.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.92390.00000.00000.00000.00000.66230.00000.00000.00000.00000.00000.0000)
                                
                            

                                
       
       
Row space:
   Vector space of degree 18 and dimension 17
Row space:
   Vector space of degree 18 and dimension 17
       
Column space:
   Vector space of degree 18 and dimension 17
Column space:
   Vector space of degree 18 and dimension 17
       
Kernel:
   Vector space of degree 18 and dimension 1
   Basis:
     (-0.3058876451607489, -0.30588764516074907, -0.305887645160749,
-0.30588764516074896, -0.30588764516074896, -0.305887645160749,
-0.716805621929536, -0.6622661785325219, -0.7168056219295359,
0.8481145238787241, 0.848114523878724, 1.0, 1.232595164407831e-32,
1.1102230246251563e-17, -2.2204460492503132e-17, -5.551115123125784e-17,
2.2204460492503132e-17, 5.551115123125783e-17)
Kernel:
   Vector space of degree 18 and dimension 1
   Basis:
     (-0.3058876451607489, -0.30588764516074907, -0.305887645160749, -0.30588764516074896, -0.30588764516074896, -0.305887645160749, -0.716805621929536, -0.6622661785325219, -0.7168056219295359, 0.8481145238787241, 0.848114523878724, 1.0, 1.232595164407831e-32, 1.1102230246251563e-17, -2.2204460492503132e-17, -5.551115123125784e-17, 2.2204460492503132e-17, 5.551115123125783e-17)
       
0:   0.3058876451607489
1:   0.30588764516074907
2:   0.305887645160749
3:   0.30588764516074896
4:   0.30588764516074896
5:   0.305887645160749
6:   0.716805621929536
7:   0.6622661785325219
8:   0.7168056219295359
9:   -0.8481145238787241
10:  -0.848114523878724
11:  -1.0
0:   0.3058876451607489
1:   0.30588764516074907
2:   0.305887645160749
3:   0.30588764516074896
4:   0.30588764516074896
5:   0.305887645160749
6:   0.716805621929536
7:   0.6622661785325219
8:   0.7168056219295359
9:   -0.8481145238787241
10:  -0.848114523878724
11:  -1.0
       
       
Left kernel:
   Vector space of degree 18 and dimension 1
   Basis:
     (0.0, 0.0, 0.0, 0.0, 0.0, 7.153584028445419e-17, 0.0, 0.0, 0.0,
-0.9999999999999997, 0.5773502691896257, 7.153584028445419e-17,
1.1102230246251565e-16, -1.1547005383792515, 0.4618802153517006, 1.0,
0.5773502691896257, 0.33811978464829945)
Left kernel:
   Vector space of degree 18 and dimension 1
   Basis:
     (0.0, 0.0, 0.0, 0.0, 0.0, 7.153584028445419e-17, 0.0, 0.0, 0.0, -0.9999999999999997, 0.5773502691896257, 7.153584028445419e-17, 1.1102230246251565e-16, -1.1547005383792515, 0.4618802153517006, 1.0, 0.5773502691896257, 0.33811978464829945)
       

 

Primjer T4. — Četverostrani prizmatični tensegrity

 

       
joints:
   0:   (-1, -1, 0)
   1:   (1, -1, 0)
   2:   (1, 1, 0)
   3:   (-1, 1, 0)
   4:   (0, -sqrt(2), 3)
   5:   (sqrt(2), 0, 3)
   6:   (0, sqrt(2), 3)
   7:   (-sqrt(2), 0, 3)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 3)
   3:   (3, 0)
   4:   (4, 5)
   5:   (5, 6)
   6:   (6, 7)
   7:   (7, 4)
   8:   (0, 4)
   9:   (1, 5)
   10:  (2, 6)
   11:  (3, 7)
   12:  (0, 5)
   13:  (1, 6)
   14:  (2, 7)
   15:  (3, 4)

supports: []
joints:
   0:   (-1, -1, 0)
   1:   (1, -1, 0)
   2:   (1, 1, 0)
   3:   (-1, 1, 0)
   4:   (0, -sqrt(2), 3)
   5:   (sqrt(2), 0, 3)
   6:   (0, sqrt(2), 3)
   7:   (-sqrt(2), 0, 3)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 3)
   3:   (3, 0)
   4:   (4, 5)
   5:   (5, 6)
   6:   (6, 7)
   7:   (7, 4)
   8:   (0, 4)
   9:   (1, 5)
   10:  (2, 6)
   11:  (3, 7)
   12:  (0, 5)
   13:  (1, 6)
   14:  (2, 7)
   15:  (3, 4)

supports: []
       
       
3 * 8 - 16  ==  8  !=  0
3 * 8 - 16  ==  8  !=  0
       
[0, 1, 2, 3, 4, 5, 6, 7]
[0, 1, 2, 3, 4, 5, 6, 7]
       
24 x 16 dense matrix over Real Double Field (use the '.str()' method to see the
entries)
24 x 16 dense matrix over Real Double Field (use the '.str()' method to see the entries)
       
       
Row space:
   Vector space of degree 16 and dimension 15
Row space:
   Vector space of degree 16 and dimension 15
       
Column space:
   Vector space of degree 24 and dimension 15
Column space:
   Vector space of degree 24 and dimension 15
       
Kernel:
   Vector space of degree 16 and dimension 1
   Basis:
     (-0.3554644040543818, -0.35546440405438173, -0.3554644040543817,
-0.3554644040543817, -0.3554644040543818, -0.3554644040543817,
-0.3554644040543817, -0.35546440405438184, -0.8016322430806896,
-0.8016322430806894, -0.8016322430806895, -0.8016322430806896, 1.0,
0.9999999999999998, 0.9999999999999999, 1.0)
Kernel:
   Vector space of degree 16 and dimension 1
   Basis:
     (-0.3554644040543818, -0.35546440405438173, -0.3554644040543817, -0.3554644040543817, -0.3554644040543818, -0.3554644040543817, -0.3554644040543817, -0.35546440405438184, -0.8016322430806896, -0.8016322430806894, -0.8016322430806895, -0.8016322430806896, 1.0, 0.9999999999999998, 0.9999999999999999, 1.0)
       
0:   0.3554644040543818
1:   0.35546440405438173
2:   0.3554644040543817
3:   0.3554644040543817
4:   0.3554644040543818
5:   0.3554644040543817
6:   0.3554644040543817
7:   0.35546440405438184
8:   0.8016322430806896
9:   0.8016322430806894
10:  0.8016322430806895
11:  0.8016322430806896
12:  -1.0
13:  -0.9999999999999998
14:  -0.9999999999999999
15:  -1.0
0:   0.3554644040543818
1:   0.35546440405438173
2:   0.3554644040543817
3:   0.3554644040543817
4:   0.3554644040543818
5:   0.3554644040543817
6:   0.3554644040543817
7:   0.35546440405438184
8:   0.8016322430806896
9:   0.8016322430806894
10:  0.8016322430806895
11:  0.8016322430806896
12:  -1.0
13:  -0.9999999999999998
14:  -0.9999999999999999
15:  -1.0
       
       
Left kernel:
   Vector space of degree 24 and dimension 9
Left kernel:
   Vector space of degree 24 and dimension 9

 

  •  s ležajevima

 

       
joints:
   0:   (-1, -1, 0)
   1:   (1, -1, 0)
   2:   (1, 1, 0)
   3:   (-1, 1, 0)
   4:   (0, -sqrt(2), 3)
   5:   (sqrt(2), 0, 3)
   6:   (0, sqrt(2), 3)
   7:   (-sqrt(2), 0, 3)
   8:   (-1.30000000000000, -1, 0)
   9:   (-1, -1.30000000000000, 0)
   10:  (-1, -1, -0.300000000000000)
   11:  (1, -1.30000000000000, 0)
   12:  (1, -1, -0.300000000000000)
   13:  (sqrt(2), -0.300000000000000, 3)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 3)
   3:   (3, 0)
   4:   (4, 5)
   5:   (5, 6)
   6:   (6, 7)
   7:   (7, 4)
   8:   (0, 4)
   9:   (1, 5)
   10:  (2, 6)
   11:  (3, 7)
   12:  (0, 5)
   13:  (1, 6)
   14:  (2, 7)
   15:  (3, 4)
   16:  (0, 8)
   17:  (0, 9)
   18:  (0, 10)
   19:  (1, 11)
   20:  (1, 12)
   21:  (5, 13)

supports: [8, 9, 10, 11, 12, 13]
joints:
   0:   (-1, -1, 0)
   1:   (1, -1, 0)
   2:   (1, 1, 0)
   3:   (-1, 1, 0)
   4:   (0, -sqrt(2), 3)
   5:   (sqrt(2), 0, 3)
   6:   (0, sqrt(2), 3)
   7:   (-sqrt(2), 0, 3)
   8:   (-1.30000000000000, -1, 0)
   9:   (-1, -1.30000000000000, 0)
   10:  (-1, -1, -0.300000000000000)
   11:  (1, -1.30000000000000, 0)
   12:  (1, -1, -0.300000000000000)
   13:  (sqrt(2), -0.300000000000000, 3)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 3)
   3:   (3, 0)
   4:   (4, 5)
   5:   (5, 6)
   6:   (6, 7)
   7:   (7, 4)
   8:   (0, 4)
   9:   (1, 5)
   10:  (2, 6)
   11:  (3, 7)
   12:  (0, 5)
   13:  (1, 6)
   14:  (2, 7)
   15:  (3, 4)
   16:  (0, 8)
   17:  (0, 9)
   18:  (0, 10)
   19:  (1, 11)
   20:  (1, 12)
   21:  (5, 13)

supports: [8, 9, 10, 11, 12, 13]
       
       
3 * 8 - 22  ==  2  !=  0
3 * 8 - 22  ==  2  !=  0
       
[0, 1, 2, 3, 4, 5, 6, 7]
[0, 1, 2, 3, 4, 5, 6, 7]
       
24 x 22 dense matrix over Real Double Field (use the '.str()' method to see the
entries)
24 x 22 dense matrix over Real Double Field (use the '.str()' method to see the entries)
       
       
Column space:
   Vector space of degree 24 and dimension 21
Column space:
   Vector space of degree 24 and dimension 21
       
Row space:
   Vector space of degree 22 and dimension 21
Row space:
   Vector space of degree 22 and dimension 21
       
Kernel:
   Vector space of degree 22 and dimension 1
   Basis:
     (-0.355464404054382, -0.3554644040543818, -0.3554644040543817,
-0.3554644040543816, -0.3554644040543818, -0.3554644040543817,
-0.3554644040543817, -0.35546440405438184, -0.8016322430806896,
-0.8016322430806891, -0.8016322430806895, -0.8016322430806896, 1.0,
0.9999999999999998, 0.9999999999999999, 1.0, -1.942890293094024e-16,
4.2812207464063204e-17, -3.8096831301583876e-17, 1.8503717077085932e-17,
2.220446049250313e-16, 1.3877787807814457e-16)
Kernel:
   Vector space of degree 22 and dimension 1
   Basis:
     (-0.355464404054382, -0.3554644040543818, -0.3554644040543817, -0.3554644040543816, -0.3554644040543818, -0.3554644040543817, -0.3554644040543817, -0.35546440405438184, -0.8016322430806896, -0.8016322430806891, -0.8016322430806895, -0.8016322430806896, 1.0, 0.9999999999999998, 0.9999999999999999, 1.0, -1.942890293094024e-16, 4.2812207464063204e-17, -3.8096831301583876e-17, 1.8503717077085932e-17, 2.220446049250313e-16, 1.3877787807814457e-16)
       
0:   0.355464404054382
1:   0.3554644040543818
2:   0.3554644040543817
3:   0.3554644040543816
4:   0.3554644040543818
5:   0.3554644040543817
6:   0.3554644040543817
7:   0.35546440405438184
8:   0.8016322430806896
9:   0.8016322430806891
10:  0.8016322430806895
11:  0.8016322430806896
12:  -1.0
13:  -0.9999999999999998
14:  -0.9999999999999999
15:  -1.0
0:   0.355464404054382
1:   0.3554644040543818
2:   0.3554644040543817
3:   0.3554644040543816
4:   0.3554644040543818
5:   0.3554644040543817
6:   0.3554644040543817
7:   0.35546440405438184
8:   0.8016322430806896
9:   0.8016322430806891
10:  0.8016322430806895
11:  0.8016322430806896
12:  -1.0
13:  -0.9999999999999998
14:  -0.9999999999999999
15:  -1.0
       
       
Left kernel:
   Vector space of degree 24 and dimension 3
Left kernel:
   Vector space of degree 24 and dimension 3
       
       
       

 

Primjer CB1. — Prednapeta vlačno–tlačna „kupola”

 

       
joints:
   0:   (1, 1, 3)
   1:   (-1, 1, 3)
   2:   (-1, -1, 3)
   3:   (1, -1, 3)
   4:   (1, 1, 1)
   5:   (-1, 1, 1)
   6:   (-1, -1, 1)
   7:   (1, -1, 1)
   8:   (2, 2, 2)
   9:   (-2, 2, 2)
   10:  (-2, -2, 2)
   11:  (2, -2, 2)
   12:  (2, 2, 0)
   13:  (-2, 2, 0)
   14:  (-2, -2, 0)
   15:  (2, -2, 0)
   16:  (3, 3, 1)
   17:  (-3, 3, 1)
   18:  (-3, -3, 1)
   19:  (3, -3, 1)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 3)
   3:   (3, 0)
   4:   (4, 5)
   5:   (5, 6)
   6:   (6, 7)
   7:   (7, 4)
   8:   (0, 4)
   9:   (1, 5)
   10:  (2, 6)
   11:  (3, 7)
   12:  (0, 8)
   13:  (4, 8)
   14:  (1, 9)
   15:  (5, 9)
   16:  (2, 10)
   17:  (6, 10)
   18:  (3, 11)
   19:  (7, 11)
   20:  (12, 13)
   21:  (13, 14)
   22:  (14, 15)
   23:  (15, 12)
   24:  (8, 12)
   25:  (9, 13)
   26:  (10, 14)
   27:  (11, 15)
   28:  (8, 16)
   29:  (12, 16)
   30:  (9, 17)
   31:  (13, 17)
   32:  (10, 18)
   33:  (14, 18)
   34:  (11, 19)
   35:  (15, 19)

supports: [16, 17, 18, 19]
joints:
   0:   (1, 1, 3)
   1:   (-1, 1, 3)
   2:   (-1, -1, 3)
   3:   (1, -1, 3)
   4:   (1, 1, 1)
   5:   (-1, 1, 1)
   6:   (-1, -1, 1)
   7:   (1, -1, 1)
   8:   (2, 2, 2)
   9:   (-2, 2, 2)
   10:  (-2, -2, 2)
   11:  (2, -2, 2)
   12:  (2, 2, 0)
   13:  (-2, 2, 0)
   14:  (-2, -2, 0)
   15:  (2, -2, 0)
   16:  (3, 3, 1)
   17:  (-3, 3, 1)
   18:  (-3, -3, 1)
   19:  (3, -3, 1)

bars:
   0:   (0, 1)
   1:   (1, 2)
   2:   (2, 3)
   3:   (3, 0)
   4:   (4, 5)
   5:   (5, 6)
   6:   (6, 7)
   7:   (7, 4)
   8:   (0, 4)
   9:   (1, 5)
   10:  (2, 6)
   11:  (3, 7)
   12:  (0, 8)
   13:  (4, 8)
   14:  (1, 9)
   15:  (5, 9)
   16:  (2, 10)
   17:  (6, 10)
   18:  (3, 11)
   19:  (7, 11)
   20:  (12, 13)
   21:  (13, 14)
   22:  (14, 15)
   23:  (15, 12)
   24:  (8, 12)
   25:  (9, 13)
   26:  (10, 14)
   27:  (11, 15)
   28:  (8, 16)
   29:  (12, 16)
   30:  (9, 17)
   31:  (13, 17)
   32:  (10, 18)
   33:  (14, 18)
   34:  (11, 19)
   35:  (15, 19)

supports: [16, 17, 18, 19]
       
       
3 * 16 - 36  ==  12  !=  0
3 * 16 - 36  ==  12  !=  0
       
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]
       
48 x 36 dense matrix over Real Double Field (use the '.str()' method to see the
entries)
48 x 36 dense matrix over Real Double Field (use the '.str()' method to see the entries)
       
       
Row space:
   Vector space of degree 36 and dimension 35
Row space:
   Vector space of degree 36 and dimension 35
       
Column space:
   Vector space of degree 48 and dimension 35
Column space:
   Vector space of degree 48 and dimension 35
       
Kernel:
   Vector space of degree 36 and dimension 1
   Basis:
     (0.2886751345948129, 0.2886751345948129, 0.2886751345948129,
0.2886751345948129, 0.2886751345948129, 0.2886751345948129, 0.2886751345948129,
0.2886751345948129, -0.2886751345948129, -0.2886751345948129,
-0.2886751345948129, -0.2886751345948129, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5,
0.5, 0.5773502691896258, 0.5773502691896258, 0.5773502691896258,
0.5773502691896258, -0.5773502691896258, -0.5773502691896258,
-0.5773502691896258, -0.5773502691896258, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0,
1.0)
Kernel:
   Vector space of degree 36 and dimension 1
   Basis:
     (0.2886751345948129, 0.2886751345948129, 0.2886751345948129, 0.2886751345948129, 0.2886751345948129, 0.2886751345948129, 0.2886751345948129, 0.2886751345948129, -0.2886751345948129, -0.2886751345948129, -0.2886751345948129, -0.2886751345948129, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5773502691896258, 0.5773502691896258, 0.5773502691896258, 0.5773502691896258, -0.5773502691896258, -0.5773502691896258, -0.5773502691896258, -0.5773502691896258, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0)
       
0:   0.2886751345948129
1:   0.2886751345948129
2:   0.2886751345948129
3:   0.2886751345948129
4:   0.2886751345948129
5:   0.2886751345948129
6:   0.2886751345948129
7:   0.2886751345948129
8:   -0.2886751345948129
9:   -0.2886751345948129
10:  -0.2886751345948129
11:  -0.2886751345948129
12:  0.5
13:  0.5
14:  0.5
15:  0.5
16:  0.5
17:  0.5
18:  0.5
19:  0.5
20:  0.5773502691896258
21:  0.5773502691896258
22:  0.5773502691896258
23:  0.5773502691896258
24:  -0.5773502691896258
25:  -0.5773502691896258
26:  -0.5773502691896258
27:  -0.5773502691896258
28:  1.0
29:  1.0
30:  1.0
31:  1.0
32:  1.0
33:  1.0
34:  1.0
35:  1.0
0:   0.2886751345948129
1:   0.2886751345948129
2:   0.2886751345948129
3:   0.2886751345948129
4:   0.2886751345948129
5:   0.2886751345948129
6:   0.2886751345948129
7:   0.2886751345948129
8:   -0.2886751345948129
9:   -0.2886751345948129
10:  -0.2886751345948129
11:  -0.2886751345948129
12:  0.5
13:  0.5
14:  0.5
15:  0.5
16:  0.5
17:  0.5
18:  0.5
19:  0.5
20:  0.5773502691896258
21:  0.5773502691896258
22:  0.5773502691896258
23:  0.5773502691896258
24:  -0.5773502691896258
25:  -0.5773502691896258
26:  -0.5773502691896258
27:  -0.5773502691896258
28:  1.0
29:  1.0
30:  1.0
31:  1.0
32:  1.0
33:  1.0
34:  1.0
35:  1.0
       
       
Left kernel:
   Vector space of degree 48 and dimension 13
Left kernel:
   Vector space of degree 48 and dimension 13