MOF++

Data › Nets › sod-t

Net topology

sod-t

Ingested production record from rcsr+mofplus. Per-field provenance in field_sources.

JSON · mfpx

288 vertices and 576 edges in the unit cell. 72 of them leave the cell and continue into a neighbouring one; those are drawn in the accent colour and end at a hollow node. Squares are vertices of coordination 5 or more, circles of 4 or fewer. Drag to rotate, or focus the figure and use the arrow keys.

Crystallographic description

Spacegroup
Im-3m (No. 229)
Cell lengths
a = 9.5103 Å, b = 9.5103 Å, c = 9.5103 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
288
Transitivity pqrs
3, 9, *, *
Catenated
no
No, computed from the graph of the net itself rather than read off its name: mofpp.periodicity v1 finds a single copy, so it is not interpenetrated on the MOF+ deposit, the graph of the uploaded topology file. Interpenetration is counted here as the number of separate copies of the net that share one repeat unit, so this is a measurement of the topology and not a marker in a string.

Canonical key

Systre key
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 10 0 0 0 5 13 0 0 0 5 14 0 0 0 6 15 0 0 0 6 16 0 0 0 6 17 0 0 0 7 17 0 0 0 7 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 18 0 0 0 9 21 0 0 0 9 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 20 0 0 0 11 21 0 0 0 11 25 0 0 0 12 25 0 0 0 12 26 0 0 0 12 27 0 0 0 13 23 0 0 0 13 28 0 0 0 13 29 0 0 0 14 27 0 0 0 14 29 0 0 0 14 30 0 0 0 15 31 0 0 0 15 32 0 0 0 15 33 0 0 0 16 31 0 0 0 16 34 0 0 0 16 35 0 0 0 17 33 0 0 0 17 36 0 0 0 18 37 0 0 0 18 38 0 0 0 19 35 0 0 0 19 39 0 0 0 19 40 0 0 0 20 38 0 0 0 20 39 0 0 0 21 38 0 0 0 21 41 0 0 0 22 41 0 0 0 22 42 0 0 0 22 43 0 0 0 23 44 0 0 0 23 45 0 0 0 24 43 0 0 0 24 45 0 0 0 24 46 0 0 0 25 47 0 0 0 25 48 0 0 0 26 47 0 0 0 26 49 0 0 0 26 50 0 0 0 27 50 0 0 0 27 51 0 0 0 28 44 0 0 0 28 52 0 0 0 28 53 0 0 0 29 54 0 0 0 29 55 0 0 0 30 46 0 0 0 30 51 0 0 0 30 54 0 0 0 31 56 0 0 0 31 57 0 0 0 32 58 0 0 0 32 59 0 0 0 32 60 0 0 0 33 59 0 0 0 33 61 0 0 0 34 57 0 0 0 34 62 0 0 0 34 63 0 0 0 35 63 0 0 0 35 64 0 0 0 36 61 0 0 0 36 62 0 0 0 36 65 0 0 0 37 65 0 0 0 37 66 0 0 0 37 67 0 0 0 38 67 0 0 0 39 68 0 0 0 39 69 0 0 0 40 64 0 0 0 40 69 0 0 0 40 70 0 0 0 41 71 0 0 0 41 72 0 0 0 42 71 0 0 0 42 73 0 0 0 42 74 0 0 0 43 74 0 0 0 43 75 0 0 0 44 76 0 0 0 44 77 0 0 0 45 78 0 0 0 45 79 0 0 0 46 75 0 0 0 46 78 0 0 0 47 80 0 0 0 47 81 0 0 0 48 72 0 0 0 48 81 0 0 0 48 82 0 0 0 49 70 0 0 0 49 80 0 0 0 49 83 0 0 0 50 84 0 0 0 50 85 0 0 0 51 82 0 0 0 51 84 0 0 0 52 76 0 0 0 52 86 0 0 0 52 87 0 0 0 53 87 0 0 0 53 88 0 0 0 53 89 0 0 0 54 78 0 0 0 54 90 0 0 0 55 89 0 0 0 55 90 0 0 0 55 91 0 0 0 56 92 0 0 0 56 93 0 0 0 56 94 0 0 0 57 93 0 0 0 57 95 0 0 0 58 94 0 0 0 58 96 0 0 0 58 97 0 0 0 59 98 0 0 0 59 99 0 0 0 60 97 0 0 0 60 99 0 0 0 60 100 0 0 0 61 95 0 0 0 61 101 0 0 0 62 95 0 0 0 62 102 0 0 0 63 103 0 0 0 63 104 0 0 0 64 104 0 0 0 64 105 0 0 0 65 102 0 0 0 65 106 0 0 0 66 106 0 0 0 66 107 0 0 0 66 108 0 0 0 67 108 0 0 0 67 109 0 0 0 68 103 0 0 0 68 109 0 0 0 68 110 0 0 0 69 110 0 0 0 69 111 0 0 0 70 111 0 0 0 70 112 0 0 0 71 93 1 0 0 71 113 0 0 0 72 92 1 0 0 72 93 1 0 0 73 113 0 0 0 73 114 0 0 0 73 115 0 0 0 74 94 1 0 0 74 96 1 0 0 75 92 1 0 0 75 94 1 0 0 76 116 0 0 0 76 117 0 0 0 77 117 0 0 0 77 118 0 0 0 77 119 0 0 0 78 120 0 0 0 79 119 0 0 0 79 120 0 0 0 79 121 0 0 0 80 111 0 0 0 80 116 0 1 0 81 117 0 1 0 81 122 0 0 0 82 92 1 0 0 82 122 0 0 0 83 112 0 0 0 83 114 0 0 1 83 123 0 0 0 84 122 0 0 0 84 124 0 0 0 85 114 0 0 1 85 115 0 0 1 85 124 0 0 0 86 100 0 0 0 86 116 0 0 0 86 123 0 -1 0 87 125 0 0 0 87 126 0 0 0 88 106 1 -1 1 88 118 0 0 0 88 126 0 0 0 89 102 1 -1 1 89 106 1 -1 1 90 108 1 -1 1 90 109 1 -1 1 91 102 1 -1 1 91 103 1 -1 1 91 109 1 -1 1 95 127 0 0 0 96 128 0 0 0 96 129 0 0 0 97 129 0 0 0 97 130 0 0 0 98 128 0 0 0 98 131 0 0 0 98 132 0 0 0 99 132 0 0 0 99 133 0 0 0 100 133 0 0 0 100 134 0 0 0 101 127 0 0 0 101 131 0 0 0 101 135 0 0 0 103 136 0 0 0 104 136 0 0 0 104 137 0 0 0 105 137 0 0 0 105 138 0 0 0 105 139 0 0 0 107 138 0 0 -1 107 139 0 0 -1 107 140 0 0 0 108 140 0 0 0 110 132 0 1 0 110 136 0 0 0 111 133 0 1 0 112 134 0 1 0 112 139 0 0 0 113 127 1 0 0 113 141 0 0 0 114 141 0 0 0 115 128 1 0 0 115 131 1 0 0 116 133 0 0 0 117 142 0 0 0 118 138 1 -1 0 118 142 0 0 0 119 137 1 -1 0 119 138 1 -1 0 120 130 1 0 0 120 140 1 -1 1 121 129 1 0 0 121 130 1 0 0 121 137 1 -1 0 122 142 0 1 0 123 134 0 1 0 123 141 0 0 1 124 131 1 0 1 124 135 1 0 1 125 127 1 -1 1 125 135 1 -1 1 125 141 0 -1 1 126 135 1 -1 1 126 142 0 0 0 128 143 0 0 0 129 143 0 0 0 130 144 0 0 0 132 143 0 0 0 134 144 0 0 0 136 143 0 1 0 139 144 0 1 0 140 144 0 1 -1
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01 — and corroborated here rather than carried on the word of the archive alone. Systre 19.6.0 was run on the MOF+ deposit, the graph of the uploaded topology file and computed the same key, character for character, so two independent statements of the canonical form of this net agree. The computed key is served under topology.symmetry with the graph it was computed from and the version that computed it. The checksum beside this key is still the one the archive carries, copied from the same block and neither computed nor verified here.
Checksum
921f51b4c39634c195a7929e4079b0ca (rcsr)

Vertices

The mapping of coordination sequences onto vertex classes that the source supplied was checked against a walk over the periodic topology of the net itself, one walk per vertex class, and agreed. The sequences are the values the source supplied; the walk settled nothing but which class each one describes.

Corroborated: 288 of 288 stored symbols were recomputed from the topology of the net itself and agree, entry for entry. A vertex symbol of this collection names the shortest cycle at each angle of a vertex, and mofpp.rings v2 (mofplus-deposit) walks those cycles on the deposit graph. The strings shown are still the values the source supplied; what was checked is that they are the values this net has.

Site symmetry. 288 of 288 vertex rows carry one, attributed to computed:mofpp.site_symmetry-v1 (spglib-2.7.0, mofplus-deposit). The site symmetry on each vertex row is the point group of the operations of the net's ideal space group that leave that vertex where it is — its Wyckoff position in the net's maximum-symmetry embedding. It is a property of the net, not of any material built on it, and it is what says whether a four-coordinated vertex is tetrahedral (-43m) or square-planar (4/mmm) — a distinction the coordination number cannot make. Computed in Im-3m, setting the conventional one, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the mofplus-deposit. spglib determined the same space group from those coordinates independently, which is a check of two different computations against each other rather than a restatement.

One row per distinct vertex. The coordination sequence counts how many vertices lie at each topological distance; the vertex symbol names the shortest ring at each angle of the vertex; the site symmetry is the vertex's Wyckoff position in the net's maximum-symmetry embedding. The three columns do not carry the same warrant: which of them was corroborated, which was not, and which was computed here, is stated above the table.
# Coordination Site symmetry Vertex symbol Coordination sequence
0 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
1 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
2 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
3 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
4 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
5 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
6 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
7 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
8 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
9 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
10 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
11 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
12 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
13 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
14 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
15 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
16 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
17 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
18 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
19 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
20 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
21 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
22 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
23 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
24 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
25 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
26 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
27 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
28 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
29 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
30 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
31 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
32 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
33 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
34 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
35 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
36 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
37 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
38 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
39 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
40 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
41 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
42 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
43 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
44 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
45 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
46 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
47 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
48 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
49 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
50 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
51 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
52 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
53 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
54 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
55 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
56 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
57 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
58 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
59 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
60 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
61 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
62 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
63 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
64 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
65 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
66 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
67 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
68 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
69 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
70 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
71 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
72 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
73 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
74 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
75 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
76 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
77 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
78 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
79 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
80 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
81 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
82 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
83 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
84 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
85 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
86 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
87 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
88 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
89 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
90 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
91 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
92 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
93 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
94 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
95 4 14.4.4.6.6.6(2)4 9 16 24 33 45 62 84 108 131
96 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
97 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
98 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
99 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
100 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
101 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
102 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
103 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
104 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
105 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
106 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
107 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
108 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
109 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
110 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
111 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
112 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
113 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
114 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
115 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
116 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
117 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
118 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
119 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
120 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
121 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
122 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
123 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
124 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
125 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
126 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
127 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
128 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
129 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
130 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
131 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
132 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
133 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
134 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
135 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
136 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
137 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
138 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
139 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
140 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
141 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
142 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
143 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
144 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
145 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
146 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
147 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
148 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
149 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
150 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
151 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
152 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
153 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
154 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
155 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
156 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
157 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
158 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
159 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
160 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
161 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
162 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
163 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
164 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
165 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
166 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
167 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
168 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
169 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
170 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
171 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
172 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
173 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
174 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
175 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
176 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
177 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
178 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
179 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
180 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
181 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
182 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
183 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
184 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
185 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
186 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
187 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
188 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
189 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
190 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
191 4 14.4.4.6.6.6(2)4 9 16 25 37 51 65 81 102 128
192 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
193 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
194 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
195 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
196 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
197 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
198 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
199 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
200 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
201 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
202 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
203 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
204 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
205 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
206 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
207 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
208 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
209 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
210 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
211 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
212 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
213 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
214 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
215 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
216 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
217 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
218 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
219 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
220 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
221 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
222 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
223 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
224 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
225 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
226 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
227 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
228 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
229 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
230 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
231 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
232 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
233 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
234 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
235 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
236 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
237 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
238 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
239 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
240 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
241 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
242 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
243 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
244 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
245 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
246 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
247 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
248 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
249 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
250 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
251 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
252 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
253 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
254 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
255 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
256 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
257 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
258 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
259 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
260 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
261 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
262 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
263 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
264 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
265 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
266 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
267 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
268 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
269 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
270 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
271 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
272 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
273 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
274 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
275 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
276 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
277 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
278 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
279 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
280 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
281 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
282 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
283 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
284 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
285 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
286 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126
287 4 14.4.4.6.6.6(2)4 9 16 25 36 49 65 83 102 126

Computed topology

Computed here from the quotient graph of the net itself, not transcribed from either source: periodicity, symmetry, invariants and rings, on the MOF+ deposit, the graph of the uploaded topology file and the RCSR archive key, the canonical key the archive states, by mofpp.invariants 2, mofpp.periodicity 1, mofpp.rings 2, mofpp.site_symmetry spglib-2.7.0 systre-19.6.0 v1 and systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2. Each basis is analysed on its own and the results are never merged, because a MOF+ deposit and an RCSR archive key are two different graphs that usually describe the same net and sometimes do not. The transitivity r and s are computed by nothing in this project: they count the faces and the tiles of a natural tiling, and none is derived here. That is a measured limit rather than a job not yet done. The Gavrog library this project runs Systre from was tried on 2026-09-12: for a 3-periodic net it has no route from a net to a tiling at all, and for a 2-periodic net it has one that works, whose result is a plane tiling with faces and no tiles and so a transitivity triple rather than an r and an s. This block therefore states p and q and leaves r and s unknown rather than filling them. Every entry carries the tool, its version and input_checksum, the checksum of the graph that was actually analysed, so that a result computed from the graph this record holds now can be told from one computed before it changed. Nothing here rebuilds a graph to check that, so no entry below is claimed to be current.

Periodicity — the MOF+ deposit, the graph of the uploaded topology file

Periodicity (mofplus-deposit)
3-periodic
One connected net (mofplus-deposit)
yes
Interpenetration (mofplus-deposit)
1 copy
Computed by (mofplus-deposit)
mofpp.periodicity 1 — ok

Periodicity — the RCSR archive key, the canonical key the archive states

Periodicity (rcsr-archive-key)
3-periodic
One connected net (rcsr-archive-key)
yes
Interpenetration (rcsr-archive-key)
1 copy
Computed by (rcsr-archive-key)
mofpp.periodicity 1 — ok

Symmetry — the MOF+ deposit, the graph of the uploaded topology file

Systre found one connected net in the repeat unit, so the group, the kinds of node and edge, and the key below describe that net.

Ideal space group (mofplus-deposit)
Im-3m (No. 229)
Transitivity p, q (mofplus-deposit)
3, 9 Kinds of node and of edge. r and s count the faces and tiles of a natural tiling, and none is derived here: the library this site runs Systre from cannot produce one for a 3-periodic net at all, and a 2-periodic net tiles the plane, which has faces and no tiles. They stay unknown rather than being filled.
Point-group order (mofplus-deposit)
48
Repeat-unit factor (mofplus-deposit)
2
RCSR identification (mofplus-deposit)
sod-t
Computed Systre key (mofplus-deposit)
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 10 0 0 0 5 13 0 0 0 5 14 0 0 0 6 15 0 0 0 6 16 0 0 0 6 17 0 0 0 7 17 0 0 0 7 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 18 0 0 0 9 21 0 0 0 9 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 20 0 0 0 11 21 0 0 0 11 25 0 0 0 12 25 0 0 0 12 26 0 0 0 12 27 0 0 0 13 23 0 0 0 13 28 0 0 0 13 29 0 0 0 14 27 0 0 0 14 29 0 0 0 14 30 0 0 0 15 31 0 0 0 15 32 0 0 0 15 33 0 0 0 16 31 0 0 0 16 34 0 0 0 16 35 0 0 0 17 33 0 0 0 17 36 0 0 0 18 37 0 0 0 18 38 0 0 0 19 35 0 0 0 19 39 0 0 0 19 40 0 0 0 20 38 0 0 0 20 39 0 0 0 21 38 0 0 0 21 41 0 0 0 22 41 0 0 0 22 42 0 0 0 22 43 0 0 0 23 44 0 0 0 23 45 0 0 0 24 43 0 0 0 24 45 0 0 0 24 46 0 0 0 25 47 0 0 0 25 48 0 0 0 26 47 0 0 0 26 49 0 0 0 26 50 0 0 0 27 50 0 0 0 27 51 0 0 0 28 44 0 0 0 28 52 0 0 0 28 53 0 0 0 29 54 0 0 0 29 55 0 0 0 30 46 0 0 0 30 51 0 0 0 30 54 0 0 0 31 56 0 0 0 31 57 0 0 0 32 58 0 0 0 32 59 0 0 0 32 60 0 0 0 33 59 0 0 0 33 61 0 0 0 34 57 0 0 0 34 62 0 0 0 34 63 0 0 0 35 63 0 0 0 35 64 0 0 0 36 61 0 0 0 36 62 0 0 0 36 65 0 0 0 37 65 0 0 0 37 66 0 0 0 37 67 0 0 0 38 67 0 0 0 39 68 0 0 0 39 69 0 0 0 40 64 0 0 0 40 69 0 0 0 40 70 0 0 0 41 71 0 0 0 41 72 0 0 0 42 71 0 0 0 42 73 0 0 0 42 74 0 0 0 43 74 0 0 0 43 75 0 0 0 44 76 0 0 0 44 77 0 0 0 45 78 0 0 0 45 79 0 0 0 46 75 0 0 0 46 78 0 0 0 47 80 0 0 0 47 81 0 0 0 48 72 0 0 0 48 81 0 0 0 48 82 0 0 0 49 70 0 0 0 49 80 0 0 0 49 83 0 0 0 50 84 0 0 0 50 85 0 0 0 51 82 0 0 0 51 84 0 0 0 52 76 0 0 0 52 86 0 0 0 52 87 0 0 0 53 87 0 0 0 53 88 0 0 0 53 89 0 0 0 54 78 0 0 0 54 90 0 0 0 55 89 0 0 0 55 90 0 0 0 55 91 0 0 0 56 92 0 0 0 56 93 0 0 0 56 94 0 0 0 57 93 0 0 0 57 95 0 0 0 58 94 0 0 0 58 96 0 0 0 58 97 0 0 0 59 98 0 0 0 59 99 0 0 0 60 97 0 0 0 60 99 0 0 0 60 100 0 0 0 61 95 0 0 0 61 101 0 0 0 62 95 0 0 0 62 102 0 0 0 63 103 0 0 0 63 104 0 0 0 64 104 0 0 0 64 105 0 0 0 65 102 0 0 0 65 106 0 0 0 66 106 0 0 0 66 107 0 0 0 66 108 0 0 0 67 108 0 0 0 67 109 0 0 0 68 103 0 0 0 68 109 0 0 0 68 110 0 0 0 69 110 0 0 0 69 111 0 0 0 70 111 0 0 0 70 112 0 0 0 71 93 1 0 0 71 113 0 0 0 72 92 1 0 0 72 93 1 0 0 73 113 0 0 0 73 114 0 0 0 73 115 0 0 0 74 94 1 0 0 74 96 1 0 0 75 92 1 0 0 75 94 1 0 0 76 116 0 0 0 76 117 0 0 0 77 117 0 0 0 77 118 0 0 0 77 119 0 0 0 78 120 0 0 0 79 119 0 0 0 79 120 0 0 0 79 121 0 0 0 80 111 0 0 0 80 116 0 1 0 81 117 0 1 0 81 122 0 0 0 82 92 1 0 0 82 122 0 0 0 83 112 0 0 0 83 114 0 0 1 83 123 0 0 0 84 122 0 0 0 84 124 0 0 0 85 114 0 0 1 85 115 0 0 1 85 124 0 0 0 86 100 0 0 0 86 116 0 0 0 86 123 0 -1 0 87 125 0 0 0 87 126 0 0 0 88 106 1 -1 1 88 118 0 0 0 88 126 0 0 0 89 102 1 -1 1 89 106 1 -1 1 90 108 1 -1 1 90 109 1 -1 1 91 102 1 -1 1 91 103 1 -1 1 91 109 1 -1 1 95 127 0 0 0 96 128 0 0 0 96 129 0 0 0 97 129 0 0 0 97 130 0 0 0 98 128 0 0 0 98 131 0 0 0 98 132 0 0 0 99 132 0 0 0 99 133 0 0 0 100 133 0 0 0 100 134 0 0 0 101 127 0 0 0 101 131 0 0 0 101 135 0 0 0 103 136 0 0 0 104 136 0 0 0 104 137 0 0 0 105 137 0 0 0 105 138 0 0 0 105 139 0 0 0 107 138 0 0 -1 107 139 0 0 -1 107 140 0 0 0 108 140 0 0 0 110 132 0 1 0 110 136 0 0 0 111 133 0 1 0 112 134 0 1 0 112 139 0 0 0 113 127 1 0 0 113 141 0 0 0 114 141 0 0 0 115 128 1 0 0 115 131 1 0 0 116 133 0 0 0 117 142 0 0 0 118 138 1 -1 0 118 142 0 0 0 119 137 1 -1 0 119 138 1 -1 0 120 130 1 0 0 120 140 1 -1 1 121 129 1 0 0 121 130 1 0 0 121 137 1 -1 0 122 142 0 1 0 123 134 0 1 0 123 141 0 0 1 124 131 1 0 1 124 135 1 0 1 125 127 1 -1 1 125 135 1 -1 1 125 141 0 -1 1 126 135 1 -1 1 126 142 0 0 0 128 143 0 0 0 129 143 0 0 0 130 144 0 0 0 132 143 0 0 0 134 144 0 0 0 136 143 0 1 0 139 144 0 1 0 140 144 0 1 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
517
Computed by (symmetry, mofplus-deposit)
systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2 — ok

Invariants — the MOF+ deposit, the graph of the uploaded topology file

TD10, exact (mofplus-deposit)
517.3333333333334
Genus (mofplus-deposit)
145
Shells walked (mofplus-deposit)
10
Computed by (invariants, mofplus-deposit)
mofpp.invariants 2 — ok

Invariants — the RCSR archive key, the canonical key the archive states

TD10, exact (rcsr-archive-key)
517.3333333333334
Genus (rcsr-archive-key)
145
Shells walked (rcsr-archive-key)
10
Computed by (invariants, rcsr-archive-key)
mofpp.invariants 2 — ok

Rings — the MOF+ deposit, the graph of the uploaded topology file

Net point symbol (mofplus-deposit)
(4^3.6^3)
Longest ring searched (mofplus-deposit)
40
Computed by (rings, mofplus-deposit)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 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, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 954.4.4.6.6.6(2) 4.4.4.6.6.8 4^3.6^3 4 9 16 24 33 45 62 84 108 131
96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 1914.4.4.6.6.6(2) 4.4.4.6.6.12 4^3.6^3 4 9 16 25 37 51 65 81 102 128
192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 2874.4.4.6.6.6(2) 4.4.4.6.6.12 4^3.6^3 4 9 16 25 36 49 65 83 102 126

Rings — the RCSR archive key, the canonical key the archive states

Net point symbol (rcsr-archive-key)
(4^3.6^3)
Longest ring searched (rcsr-archive-key)
40
Computed by (rings, rcsr-archive-key)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 1, 9, 16, 20, 21, 22, 26, 27, 29, 31, 32, 33, 34, 36, 37, 41, 47, 49, 51, 53, 54, 55, 56, 59, 63, 65, 67, 80, 82, 90, 91, 109, 111, 112, 115, 117, 118, 123, 127, 130, 132, 136, 139, 140, 141, 142, 1434.4.4.6.6.6(2) 4.4.4.6.6.12 4^3.6^3 4 9 16 25 36 49 65 83 102 126
2, 4, 5, 6, 8, 12, 13, 14, 15, 17, 28, 30, 40, 43, 50, 58, 62, 66, 70, 71, 72, 75, 76, 81, 83, 84, 85, 89, 92, 97, 98, 99, 102, 103, 104, 106, 107, 108, 113, 114, 116, 121, 122, 131, 133, 135, 137, 1384.4.4.6.6.6(2) 4.4.4.6.6.12 4^3.6^3 4 9 16 25 37 51 65 81 102 128
3, 7, 10, 11, 18, 19, 23, 24, 25, 35, 38, 39, 42, 44, 45, 46, 48, 52, 57, 60, 61, 64, 68, 69, 73, 74, 77, 78, 79, 86, 87, 88, 93, 94, 95, 96, 100, 101, 105, 110, 119, 120, 124, 125, 126, 128, 129, 1344.4.4.6.6.6(2) 4.4.4.6.6.8 4^3.6^3 4 9 16 24 33 45 62 84 108 131

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 288 of 288 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 288 of 288 vertex rows agree with mofpp.invariants v2 (mofplus-deposit), compared on the stored length.
Catenation against the name heuristic
No; agrees with the computed value

Provenance

Source
rcsr+mofplus — reconciled from both, field by field
Identifier at the source
sod-t
Retrieved
2026-09-09
Licence
CC BY 4.0 — verified from MOF++ project decision, CONTEXT §6 (Licensing): MOF+ is this group's own service, so nets retrieved from it are the project's own data to license, and the project licenses its data CC BY 4.0. No third-party grant is claimed..
Published
yes

Position in the collection

RCSR index
1816 (derived) Derived by this site, not published by RCSR: the 1-based position of the symbol in the ascending ASCII-lexicographic ordering of the 2930 symbols in the RCSR Systre archive of 2019-06-01. RCSR does not number its nets; this is our ordering of their symbols and nothing more.
Complexity rank
2396 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.