MOF++

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Net topology

jan

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

JSON · mfpx

288 vertices and 576 edges in the unit cell. 48 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
Ia-3d (No. 230)
Cell lengths
a = 9.7184 Å, b = 9.7184 Å, c = 9.7184 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
288
Transitivity pqrs
3, 7, *, *
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 3 0 0 0 2 6 0 0 0 2 7 0 0 0 3 8 0 0 0 3 9 0 0 0 4 10 0 0 0 4 11 0 0 0 4 12 0 0 0 5 7 0 0 0 5 9 0 0 0 5 13 0 0 0 6 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 9 0 0 0 7 17 0 0 0 8 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 21 0 0 0 10 11 0 0 0 10 16 0 0 0 10 22 0 0 0 11 19 0 0 0 11 23 0 0 0 12 22 0 0 0 12 23 0 0 0 12 24 0 0 0 13 25 0 0 0 13 26 0 0 0 13 27 0 0 0 14 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 16 0 0 0 15 18 0 0 0 15 29 0 0 0 16 30 0 0 0 17 31 0 0 0 17 32 0 0 0 17 33 0 0 0 18 19 0 0 0 18 34 0 0 0 19 35 0 0 0 20 34 0 0 0 20 35 0 0 0 20 36 0 0 0 21 37 0 0 0 21 38 0 0 0 21 39 0 0 0 22 23 0 0 0 22 40 0 0 0 23 41 0 0 0 24 42 0 0 0 24 43 0 0 0 24 44 0 0 0 25 27 0 0 0 25 32 0 0 0 25 45 0 0 0 26 45 0 0 0 26 46 0 0 0 26 47 0 0 0 27 38 0 0 0 27 47 0 0 0 28 48 0 0 0 28 49 0 0 0 28 50 0 0 0 29 30 0 0 0 29 51 0 0 0 30 52 0 0 0 31 53 0 0 0 31 54 0 0 0 31 55 0 0 0 32 33 0 0 0 32 54 0 0 0 33 37 0 0 0 33 55 0 0 0 34 35 0 0 0 34 56 0 0 0 35 57 0 0 0 36 58 0 0 0 36 59 0 0 0 36 60 0 0 0 37 38 0 0 0 37 61 0 0 0 38 62 0 0 0 39 61 0 0 0 39 62 0 0 0 39 63 0 0 0 40 64 0 0 0 40 65 0 0 0 40 66 0 0 0 41 67 0 0 0 41 68 0 0 0 41 69 0 0 0 42 70 0 0 0 42 71 0 0 0 42 72 0 0 0 43 44 0 0 0 43 65 0 0 0 43 71 0 0 0 44 67 0 0 0 44 72 0 0 0 45 47 0 0 0 45 64 1 0 0 46 59 0 1 0 46 60 0 1 0 46 73 0 0 0 47 74 0 0 0 48 63 0 0 1 48 75 0 0 0 48 76 0 0 0 49 50 0 0 0 49 63 0 0 1 49 77 0 0 0 50 76 0 0 0 50 78 0 0 0 51 77 0 0 0 51 79 0 0 0 51 80 0 0 0 52 78 0 0 0 52 81 0 0 0 52 82 0 0 0 53 83 0 0 0 53 84 0 0 0 53 85 0 0 0 54 55 0 0 0 54 82 1 0 0 55 86 0 0 0 56 87 0 0 0 56 88 0 0 0 56 89 0 0 0 57 90 0 0 0 57 91 0 0 0 57 92 0 0 0 58 59 0 0 0 58 73 0 -1 0 58 89 0 0 0 59 91 0 0 0 60 73 0 -1 0 60 93 0 0 0 61 62 0 0 0 61 94 0 0 0 62 95 0 0 0 63 76 0 0 -1 64 96 0 0 0 64 97 0 0 0 65 66 0 0 0 65 96 0 0 0 66 68 0 0 0 66 97 0 0 0 67 68 0 0 0 67 98 0 0 0 68 99 0 0 0 69 98 0 0 0 69 99 0 0 0 69 100 0 0 0 70 91 0 1 0 70 92 0 1 0 70 101 0 0 0 71 72 0 0 0 71 102 0 0 0 72 103 0 0 0 73 96 1 0 0 74 79 0 1 -1 74 80 0 1 -1 74 93 0 1 0 75 94 0 0 1 75 104 0 0 0 75 105 0 0 0 76 106 0 0 0 77 80 0 0 0 77 93 0 0 1 78 81 0 0 0 78 107 0 0 0 79 93 0 0 1 79 97 1 -1 1 80 81 0 0 0 81 108 0 0 0 82 107 0 0 0 82 108 0 0 0 83 105 0 0 0 83 109 0 0 0 83 110 0 0 0 84 85 0 0 0 84 107 1 0 0 84 110 0 0 0 85 109 0 0 0 85 111 0 0 0 86 111 0 0 0 86 112 0 0 0 86 113 0 0 0 87 99 1 -1 1 87 114 0 0 0 87 115 0 0 0 88 89 0 0 0 88 90 0 0 0 88 114 0 0 0 89 115 0 0 0 90 91 0 0 0 90 101 0 -1 0 92 101 0 -1 0 92 116 0 0 0 94 104 0 0 -1 94 117 0 0 0 95 106 0 0 -1 95 118 0 0 0 95 119 0 0 0 96 97 0 0 0 98 99 0 0 0 98 120 0 0 0 100 121 0 0 0 100 122 0 0 0 100 123 0 0 0 101 124 0 0 0 102 124 0 0 0 102 125 0 0 0 102 126 0 0 0 103 116 0 1 0 103 127 0 0 0 103 128 0 0 0 104 118 0 0 1 104 129 0 0 0 105 117 0 0 1 105 129 0 0 0 106 118 0 0 1 106 130 0 0 0 107 108 0 0 0 108 112 -1 0 0 109 110 0 0 0 109 128 1 -1 1 110 131 0 0 0 111 112 0 0 0 111 132 0 0 0 112 133 0 0 0 113 132 0 0 0 113 133 0 0 0 113 134 0 0 0 114 115 0 0 0 114 123 1 -1 1 115 135 0 0 0 116 127 0 -1 0 116 136 0 0 0 117 129 0 0 -1 117 137 0 0 0 118 138 0 0 0 119 130 0 0 -1 119 133 -1 1 -1 119 138 0 0 0 120 135 -1 1 -1 120 139 0 0 0 120 140 0 0 0 121 131 -1 0 -1 121 136 0 0 0 121 141 0 0 0 122 123 0 0 0 122 131 -1 0 -1 122 139 0 0 0 123 141 0 0 0 124 126 0 0 0 124 142 0 0 0 125 134 -1 1 0 125 142 0 0 0 125 143 0 0 0 126 127 0 0 0 126 134 -1 1 0 127 137 -1 1 0 128 136 0 1 0 128 137 -1 1 0 129 141 1 0 1 130 138 0 0 1 130 144 0 0 0 131 141 1 0 1 132 133 0 0 0 132 140 1 -1 1 134 142 1 -1 0 135 139 1 -1 1 135 143 1 -1 0 136 137 -1 0 0 138 142 0 0 -1 139 144 0 0 -1 140 143 0 0 -1 140 144 0 0 -1 143 144 0 0 0
(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
467ed979debaf33ce7fddbaae16f0891 (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 Ia-3d, 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 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
1 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
2 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
3 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
4 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
5 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
6 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
7 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
8 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
9 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
10 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
11 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
12 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
13 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
14 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
15 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
16 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
17 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
18 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
19 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
20 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
21 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
22 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
23 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
24 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
25 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
26 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
27 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
28 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
29 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
30 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
31 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
32 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
33 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
34 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
35 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
36 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
37 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
38 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
39 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
40 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
41 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
42 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
43 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
44 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
45 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
46 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
47 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
48 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
49 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
50 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
51 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
52 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
53 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
54 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
55 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
56 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
57 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
58 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
59 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
60 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
61 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
62 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
63 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
64 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
65 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
66 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
67 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
68 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
69 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
70 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
71 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
72 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
73 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
74 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
75 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
76 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
77 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
78 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
79 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
80 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
81 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
82 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
83 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
84 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
85 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
86 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
87 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
88 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
89 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
90 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
91 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
92 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
93 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
94 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
95 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
96 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
97 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
98 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
99 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
100 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
101 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
102 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
103 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
104 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
105 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
106 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
107 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
108 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
109 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
110 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
111 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
112 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
113 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
114 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
115 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
116 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
117 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
118 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
119 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
120 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
121 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
122 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
123 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
124 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
125 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
126 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
127 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
128 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
129 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
130 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
131 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
132 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
133 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
134 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
135 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
136 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
137 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
138 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
139 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
140 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
141 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
142 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
143 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
144 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
145 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
146 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
147 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
148 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
149 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
150 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
151 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
152 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
153 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
154 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
155 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
156 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
157 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
158 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
159 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
160 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
161 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
162 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
163 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
164 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
165 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
166 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
167 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
168 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
169 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
170 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
171 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
172 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
173 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
174 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
175 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
176 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
177 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
178 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
179 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
180 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
181 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
182 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
183 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
184 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
185 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
186 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
187 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
188 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
189 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
190 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
191 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 141
192 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
193 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
194 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
195 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
196 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
197 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
198 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
199 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
200 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
201 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
202 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
203 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
204 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
205 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
206 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
207 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
208 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
209 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
210 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
211 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
212 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
213 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
214 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
215 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
216 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
217 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
218 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
219 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
220 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
221 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
222 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
223 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
224 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
225 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
226 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
227 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
228 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
229 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
230 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
231 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
232 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
233 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
234 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
235 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
236 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
237 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
238 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
239 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
240 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
241 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
242 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
243 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
244 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
245 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
246 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
247 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
248 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
249 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
250 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
251 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
252 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
253 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
254 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
255 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
256 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
257 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
258 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
259 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
260 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
261 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
262 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
263 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
264 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
265 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
266 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
267 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
268 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
269 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
270 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
271 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
272 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
273 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
274 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
275 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
276 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
277 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
278 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
279 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
280 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
281 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
282 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
283 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
284 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
285 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
286 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140
287 4 13.4.4.6.6.8(2)4 8 14 20 30 47 64 90 120 140

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)
Ia-3d (No. 230)
Transitivity p, q (mofplus-deposit)
3, 7 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)
jan
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 3 0 0 0 2 6 0 0 0 2 7 0 0 0 3 8 0 0 0 3 9 0 0 0 4 10 0 0 0 4 11 0 0 0 4 12 0 0 0 5 7 0 0 0 5 9 0 0 0 5 13 0 0 0 6 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 9 0 0 0 7 17 0 0 0 8 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 21 0 0 0 10 11 0 0 0 10 16 0 0 0 10 22 0 0 0 11 19 0 0 0 11 23 0 0 0 12 22 0 0 0 12 23 0 0 0 12 24 0 0 0 13 25 0 0 0 13 26 0 0 0 13 27 0 0 0 14 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 16 0 0 0 15 18 0 0 0 15 29 0 0 0 16 30 0 0 0 17 31 0 0 0 17 32 0 0 0 17 33 0 0 0 18 19 0 0 0 18 34 0 0 0 19 35 0 0 0 20 34 0 0 0 20 35 0 0 0 20 36 0 0 0 21 37 0 0 0 21 38 0 0 0 21 39 0 0 0 22 23 0 0 0 22 40 0 0 0 23 41 0 0 0 24 42 0 0 0 24 43 0 0 0 24 44 0 0 0 25 27 0 0 0 25 32 0 0 0 25 45 0 0 0 26 45 0 0 0 26 46 0 0 0 26 47 0 0 0 27 38 0 0 0 27 47 0 0 0 28 48 0 0 0 28 49 0 0 0 28 50 0 0 0 29 30 0 0 0 29 51 0 0 0 30 52 0 0 0 31 53 0 0 0 31 54 0 0 0 31 55 0 0 0 32 33 0 0 0 32 54 0 0 0 33 37 0 0 0 33 55 0 0 0 34 35 0 0 0 34 56 0 0 0 35 57 0 0 0 36 58 0 0 0 36 59 0 0 0 36 60 0 0 0 37 38 0 0 0 37 61 0 0 0 38 62 0 0 0 39 61 0 0 0 39 62 0 0 0 39 63 0 0 0 40 64 0 0 0 40 65 0 0 0 40 66 0 0 0 41 67 0 0 0 41 68 0 0 0 41 69 0 0 0 42 70 0 0 0 42 71 0 0 0 42 72 0 0 0 43 44 0 0 0 43 65 0 0 0 43 71 0 0 0 44 67 0 0 0 44 72 0 0 0 45 47 0 0 0 45 64 1 0 0 46 59 0 1 0 46 60 0 1 0 46 73 0 0 0 47 74 0 0 0 48 63 0 0 1 48 75 0 0 0 48 76 0 0 0 49 50 0 0 0 49 63 0 0 1 49 77 0 0 0 50 76 0 0 0 50 78 0 0 0 51 77 0 0 0 51 79 0 0 0 51 80 0 0 0 52 78 0 0 0 52 81 0 0 0 52 82 0 0 0 53 83 0 0 0 53 84 0 0 0 53 85 0 0 0 54 55 0 0 0 54 82 1 0 0 55 86 0 0 0 56 87 0 0 0 56 88 0 0 0 56 89 0 0 0 57 90 0 0 0 57 91 0 0 0 57 92 0 0 0 58 59 0 0 0 58 73 0 -1 0 58 89 0 0 0 59 91 0 0 0 60 73 0 -1 0 60 93 0 0 0 61 62 0 0 0 61 94 0 0 0 62 95 0 0 0 63 76 0 0 -1 64 96 0 0 0 64 97 0 0 0 65 66 0 0 0 65 96 0 0 0 66 68 0 0 0 66 97 0 0 0 67 68 0 0 0 67 98 0 0 0 68 99 0 0 0 69 98 0 0 0 69 99 0 0 0 69 100 0 0 0 70 91 0 1 0 70 92 0 1 0 70 101 0 0 0 71 72 0 0 0 71 102 0 0 0 72 103 0 0 0 73 96 1 0 0 74 79 0 1 -1 74 80 0 1 -1 74 93 0 1 0 75 94 0 0 1 75 104 0 0 0 75 105 0 0 0 76 106 0 0 0 77 80 0 0 0 77 93 0 0 1 78 81 0 0 0 78 107 0 0 0 79 93 0 0 1 79 97 1 -1 1 80 81 0 0 0 81 108 0 0 0 82 107 0 0 0 82 108 0 0 0 83 105 0 0 0 83 109 0 0 0 83 110 0 0 0 84 85 0 0 0 84 107 1 0 0 84 110 0 0 0 85 109 0 0 0 85 111 0 0 0 86 111 0 0 0 86 112 0 0 0 86 113 0 0 0 87 99 1 -1 1 87 114 0 0 0 87 115 0 0 0 88 89 0 0 0 88 90 0 0 0 88 114 0 0 0 89 115 0 0 0 90 91 0 0 0 90 101 0 -1 0 92 101 0 -1 0 92 116 0 0 0 94 104 0 0 -1 94 117 0 0 0 95 106 0 0 -1 95 118 0 0 0 95 119 0 0 0 96 97 0 0 0 98 99 0 0 0 98 120 0 0 0 100 121 0 0 0 100 122 0 0 0 100 123 0 0 0 101 124 0 0 0 102 124 0 0 0 102 125 0 0 0 102 126 0 0 0 103 116 0 1 0 103 127 0 0 0 103 128 0 0 0 104 118 0 0 1 104 129 0 0 0 105 117 0 0 1 105 129 0 0 0 106 118 0 0 1 106 130 0 0 0 107 108 0 0 0 108 112 -1 0 0 109 110 0 0 0 109 128 1 -1 1 110 131 0 0 0 111 112 0 0 0 111 132 0 0 0 112 133 0 0 0 113 132 0 0 0 113 133 0 0 0 113 134 0 0 0 114 115 0 0 0 114 123 1 -1 1 115 135 0 0 0 116 127 0 -1 0 116 136 0 0 0 117 129 0 0 -1 117 137 0 0 0 118 138 0 0 0 119 130 0 0 -1 119 133 -1 1 -1 119 138 0 0 0 120 135 -1 1 -1 120 139 0 0 0 120 140 0 0 0 121 131 -1 0 -1 121 136 0 0 0 121 141 0 0 0 122 123 0 0 0 122 131 -1 0 -1 122 139 0 0 0 123 141 0 0 0 124 126 0 0 0 124 142 0 0 0 125 134 -1 1 0 125 142 0 0 0 125 143 0 0 0 126 127 0 0 0 126 134 -1 1 0 127 137 -1 1 0 128 136 0 1 0 128 137 -1 1 0 129 141 1 0 1 130 138 0 0 1 130 144 0 0 0 131 141 1 0 1 132 133 0 0 0 132 140 1 -1 1 134 142 1 -1 0 135 139 1 -1 1 135 143 1 -1 0 136 137 -1 0 0 138 142 0 0 -1 139 144 0 0 -1 140 143 0 0 -1 140 144 0 0 -1 143 144 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
538
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)
538.3333333333334
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)
538.3333333333334
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)
(3.4^2.6^2.8)
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, 95, 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, 2873.4.4.6.6.8(2) 3.4.4.6.6.12 3.4^2.6^2.8 4 8 14 20 30 47 64 90 120 140
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, 1913.4.4.6.6.8(2) 3.4.4.6.6.12 3.4^2.6^2.8 4 8 14 20 30 47 64 90 120 141

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

Net point symbol (rcsr-archive-key)
(3.4^2.6^2.8)
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, 6, 7, 9, 13, 14, 20, 22, 23, 25, 26, 31, 34, 48, 51, 52, 54, 55, 57, 59, 60, 63, 64, 67, 71, 74, 75, 78, 79, 90, 94, 97, 99, 100, 101, 106, 108, 111, 113, 115, 128, 130, 131, 133, 134, 136, 137, 1433.4.4.6.6.8(2) 3.4.4.6.6.12 3.4^2.6^2.8 4 8 14 20 30 47 64 90 120 141
1, 2, 3, 4, 5, 8, 10, 11, 12, 15, 16, 17, 18, 19, 21, 24, 27, 28, 29, 30, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 53, 56, 58, 61, 62, 65, 66, 68, 69, 70, 72, 73, 76, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 91, 92, 93, 95, 96, 98, 102, 103, 104, 105, 107, 109, 110, 112, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 129, 132, 135, 138, 139, 140, 141, 1423.4.4.6.6.8(2) 3.4.4.6.6.12 3.4^2.6^2.8 4 8 14 20 30 47 64 90 120 140

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
jan
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
1059 (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
2395 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.