MOF++

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Net topology

odm

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

JSON · mfpx

342 vertices and 684 edges in the unit cell. 136 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
R-3c (No. 167)
Cell lengths
a = 14.6561 Å, b = 14.6561 Å, c = 2.9033 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 120.00°
Atoms in cell
342
Transitivity pqrs
11, 21, *, *
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 1 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 13 0 0 0 5 14 0 0 0 5 15 0 0 0 6 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 13 0 0 0 7 15 1 0 0 7 19 0 0 0 8 16 -1 0 0 8 17 0 0 0 8 20 0 0 0 9 10 -1 0 0 9 11 0 0 0 9 21 0 0 0 10 22 0 0 0 10 23 0 0 0 11 24 0 0 0 11 25 0 0 0 12 14 0 0 0 12 26 0 0 0 12 27 0 0 0 13 28 0 0 0 13 29 0 0 0 14 30 0 0 0 14 31 0 0 0 15 32 0 0 0 15 33 0 0 0 16 34 0 0 0 16 35 0 0 0 17 36 0 0 0 17 37 0 0 0 18 19 0 0 0 18 38 0 0 0 18 39 0 0 0 19 40 0 0 0 19 41 0 0 0 20 21 0 0 0 20 42 0 0 0 20 43 0 0 0 21 44 0 0 0 21 45 0 0 0 22 24 0 0 0 22 45 1 0 0 22 46 0 0 0 23 25 1 0 0 23 26 0 0 0 23 47 0 0 0 24 44 0 0 0 24 48 0 0 0 25 27 0 0 0 25 49 0 0 0 26 50 0 0 0 26 51 0 0 0 27 50 -1 0 0 27 52 0 0 0 28 32 0 0 0 28 41 0 0 0 28 53 0 0 0 29 30 0 0 0 29 33 1 0 0 29 54 0 0 0 30 55 0 0 0 30 56 0 0 0 31 33 0 0 0 31 55 -1 0 0 31 57 0 0 0 32 40 -1 0 0 32 58 0 0 0 33 59 0 0 0 34 37 1 0 0 34 38 0 0 0 34 60 0 0 0 35 36 0 0 0 35 43 1 0 0 35 61 0 0 0 36 42 0 0 0 36 62 0 0 0 37 39 0 0 0 37 63 0 0 0 38 64 0 0 0 38 65 0 0 0 39 65 -1 0 0 39 66 0 0 0 40 67 0 0 0 40 68 0 0 0 41 67 -1 0 0 41 69 0 0 0 42 70 0 0 0 42 71 0 0 0 43 71 -1 0 0 43 72 0 0 0 44 73 0 0 0 44 74 0 0 0 45 73 -1 0 0 45 75 0 0 0 46 47 0 0 0 46 76 0 0 0 46 77 0 0 0 47 78 0 0 0 47 79 0 0 0 48 49 0 0 0 48 77 0 0 0 48 80 0 0 0 49 78 -1 0 0 49 81 0 0 0 50 55 0 0 0 50 82 0 0 0 51 52 0 0 0 51 79 0 0 0 51 83 0 0 0 52 81 0 0 0 52 84 0 0 0 53 54 0 0 0 53 85 0 0 0 53 86 0 0 0 54 87 0 0 0 54 88 0 0 0 55 89 0 0 0 56 57 0 0 0 56 88 0 0 0 56 90 0 0 0 57 91 0 0 0 57 92 0 0 0 58 59 0 0 0 58 86 0 0 0 58 93 0 0 0 59 87 -1 0 0 59 91 0 0 0 60 61 0 0 0 60 94 0 0 0 60 95 0 0 0 61 96 0 0 0 61 97 0 0 0 62 63 0 0 0 62 97 0 0 0 62 98 0 0 0 63 94 -1 0 0 63 99 0 0 0 64 66 0 0 0 64 84 0 1 0 64 95 0 0 0 65 67 0 0 0 65 100 0 0 0 66 83 -1 1 0 66 99 0 0 0 67 101 0 0 0 68 69 0 0 0 68 93 1 0 0 68 102 0 0 0 69 85 0 0 0 69 103 0 0 0 70 72 0 0 0 70 92 0 0 1 70 98 0 0 0 71 73 0 0 0 71 104 0 0 0 72 90 -1 0 1 72 96 -1 0 0 73 105 0 0 0 74 75 0 0 0 74 80 0 0 0 74 103 0 -1 1 75 76 -1 0 0 75 102 -1 -1 1 76 93 1 -1 1 76 106 0 0 0 77 107 0 0 0 77 108 0 0 0 78 106 0 0 0 78 109 0 0 0 79 99 1 -1 0 79 108 0 0 0 80 85 0 -1 1 80 106 -1 0 0 81 95 0 -1 0 81 108 0 0 0 82 83 0 0 0 82 84 1 0 0 82 110 0 0 0 83 100 0 -1 0 84 100 0 -1 0 85 107 0 1 -1 86 106 -1 1 -1 86 111 0 0 0 87 107 0 1 -1 87 112 0 0 0 88 96 0 0 -1 88 111 0 0 0 89 90 0 0 0 89 92 1 0 0 89 110 0 0 0 90 104 0 0 -1 91 98 0 0 -1 91 111 0 0 0 92 104 0 0 -1 93 107 -1 1 -1 94 108 0 1 0 94 112 0 0 1 95 109 -1 1 0 96 112 0 0 1 97 109 -1 1 0 97 111 0 0 1 98 112 -1 0 1 99 109 -1 1 0 100 113 0 0 0 101 102 0 0 0 101 103 1 0 0 101 113 0 0 0 102 105 0 1 -1 103 105 0 1 -1 104 114 0 0 0 105 114 0 0 0 110 113 0 -1 0 110 114 1 0 -1 113 114 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
c91fbe2ec3b227e7c79c506d3110e2e6 (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: 342 of 342 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. 342 of 342 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 R-3c, setting H, 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 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
1 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
2 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
3 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
4 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
5 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
6 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
7 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
8 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
9 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
10 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
11 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
12 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
13 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
14 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
15 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
16 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
17 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
18 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
19 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
20 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
21 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
22 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
23 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
24 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
25 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
26 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
27 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
28 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
29 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
30 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
31 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
32 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
33 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
34 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
35 4 15.5.5.5.5.54 12 24 38 60 89 121 164 219 278
36 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
37 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
38 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
39 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
40 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
41 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
42 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
43 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
44 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
45 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
46 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
47 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
48 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
49 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
50 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
51 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
52 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
53 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
54 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
55 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
56 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
57 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
58 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
59 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
60 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
61 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
62 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
63 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
64 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
65 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
66 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
67 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
68 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
69 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
70 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
71 4 15.5.5.5.5.54 12 24 39 67 103 136 178 231 285
72 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
73 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
74 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
75 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
76 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
77 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
78 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
79 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
80 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
81 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
82 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
83 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
84 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
85 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
86 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
87 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
88 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
89 4 25.5.5.5.5.54 12 24 42 70 104 146 190 234 292
90 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
91 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
92 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
93 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
94 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
95 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
96 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
97 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
98 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
99 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
100 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
101 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
102 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
103 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
104 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
105 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
106 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
107 4 25.5.5.6.6.64 12 27 52 84 120 160 206 265 328
108 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
109 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
110 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
111 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
112 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
113 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
114 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
115 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
116 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
117 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
118 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
119 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
120 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
121 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
122 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
123 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
124 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
125 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
126 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
127 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
128 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
129 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
130 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
131 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
132 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
133 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
134 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
135 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
136 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
137 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
138 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
139 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
140 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
141 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
142 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
143 4 15.5.5.5.5.64 12 25 45 76 108 149 197 246 303
144 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
145 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
146 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
147 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
148 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
149 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
150 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
151 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
152 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
153 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
154 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
155 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
156 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
157 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
158 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
159 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
160 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
161 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
162 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
163 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
164 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
165 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
166 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
167 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
168 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
169 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
170 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
171 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
172 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
173 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
174 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
175 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
176 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
177 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
178 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
179 4 15.5.5.5.5.64 12 25 40 58 79 112 159 219 285
180 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
181 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
182 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
183 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
184 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
185 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
186 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
187 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
188 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
189 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
190 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
191 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
192 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
193 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
194 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
195 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
196 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
197 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
198 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
199 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
200 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
201 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
202 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
203 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
204 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
205 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
206 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
207 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
208 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
209 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
210 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
211 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
212 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
213 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
214 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
215 4 15.5.5.5.5.64 12 25 43 70 102 143 191 236 292
216 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
217 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
218 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
219 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
220 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
221 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
222 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
223 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
224 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
225 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
226 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
227 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
228 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
229 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
230 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
231 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
232 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
233 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
234 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
235 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
236 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
237 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
238 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
239 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
240 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
241 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
242 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
243 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
244 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
245 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
246 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
247 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
248 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
249 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
250 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
251 4 15.5.5.5.6.64 12 26 46 72 104 146 199 245 293
252 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
253 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
254 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
255 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
256 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
257 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
258 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
259 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
260 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
261 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
262 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
263 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
264 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
265 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
266 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
267 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
268 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
269 4 25.5.5.5.5.64 12 25 42 70 108 148 192 241 298
270 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
271 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
272 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
273 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
274 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
275 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
276 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
277 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
278 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
279 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
280 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
281 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
282 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
283 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
284 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
285 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
286 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
287 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
288 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
289 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
290 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
291 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
292 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
293 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
294 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
295 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
296 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
297 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
298 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
299 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
300 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
301 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
302 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
303 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
304 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
305 4 15.5.5.5.5.54 12 24 38 60 88 120 165 213 276
306 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
307 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
308 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
309 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
310 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
311 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
312 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
313 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
314 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
315 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
316 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
317 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
318 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
319 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
320 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
321 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
322 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
323 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
324 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
325 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
326 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
327 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
328 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
329 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
330 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
331 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
332 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
333 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
334 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
335 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
336 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
337 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
338 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
339 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
340 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286
341 4 15.5.5.5.5.54 12 24 39 65 102 138 175 226 286

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)
R-3c (No. 167) (hexagonal setting)
Transitivity p, q (mofplus-deposit)
11, 21 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)
12
Repeat-unit factor (mofplus-deposit)
3
RCSR identification (mofplus-deposit)
odm
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 1 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 13 0 0 0 5 14 0 0 0 5 15 0 0 0 6 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 13 0 0 0 7 15 1 0 0 7 19 0 0 0 8 16 -1 0 0 8 17 0 0 0 8 20 0 0 0 9 10 -1 0 0 9 11 0 0 0 9 21 0 0 0 10 22 0 0 0 10 23 0 0 0 11 24 0 0 0 11 25 0 0 0 12 14 0 0 0 12 26 0 0 0 12 27 0 0 0 13 28 0 0 0 13 29 0 0 0 14 30 0 0 0 14 31 0 0 0 15 32 0 0 0 15 33 0 0 0 16 34 0 0 0 16 35 0 0 0 17 36 0 0 0 17 37 0 0 0 18 19 0 0 0 18 38 0 0 0 18 39 0 0 0 19 40 0 0 0 19 41 0 0 0 20 21 0 0 0 20 42 0 0 0 20 43 0 0 0 21 44 0 0 0 21 45 0 0 0 22 24 0 0 0 22 45 1 0 0 22 46 0 0 0 23 25 1 0 0 23 26 0 0 0 23 47 0 0 0 24 44 0 0 0 24 48 0 0 0 25 27 0 0 0 25 49 0 0 0 26 50 0 0 0 26 51 0 0 0 27 50 -1 0 0 27 52 0 0 0 28 32 0 0 0 28 41 0 0 0 28 53 0 0 0 29 30 0 0 0 29 33 1 0 0 29 54 0 0 0 30 55 0 0 0 30 56 0 0 0 31 33 0 0 0 31 55 -1 0 0 31 57 0 0 0 32 40 -1 0 0 32 58 0 0 0 33 59 0 0 0 34 37 1 0 0 34 38 0 0 0 34 60 0 0 0 35 36 0 0 0 35 43 1 0 0 35 61 0 0 0 36 42 0 0 0 36 62 0 0 0 37 39 0 0 0 37 63 0 0 0 38 64 0 0 0 38 65 0 0 0 39 65 -1 0 0 39 66 0 0 0 40 67 0 0 0 40 68 0 0 0 41 67 -1 0 0 41 69 0 0 0 42 70 0 0 0 42 71 0 0 0 43 71 -1 0 0 43 72 0 0 0 44 73 0 0 0 44 74 0 0 0 45 73 -1 0 0 45 75 0 0 0 46 47 0 0 0 46 76 0 0 0 46 77 0 0 0 47 78 0 0 0 47 79 0 0 0 48 49 0 0 0 48 77 0 0 0 48 80 0 0 0 49 78 -1 0 0 49 81 0 0 0 50 55 0 0 0 50 82 0 0 0 51 52 0 0 0 51 79 0 0 0 51 83 0 0 0 52 81 0 0 0 52 84 0 0 0 53 54 0 0 0 53 85 0 0 0 53 86 0 0 0 54 87 0 0 0 54 88 0 0 0 55 89 0 0 0 56 57 0 0 0 56 88 0 0 0 56 90 0 0 0 57 91 0 0 0 57 92 0 0 0 58 59 0 0 0 58 86 0 0 0 58 93 0 0 0 59 87 -1 0 0 59 91 0 0 0 60 61 0 0 0 60 94 0 0 0 60 95 0 0 0 61 96 0 0 0 61 97 0 0 0 62 63 0 0 0 62 97 0 0 0 62 98 0 0 0 63 94 -1 0 0 63 99 0 0 0 64 66 0 0 0 64 84 0 1 0 64 95 0 0 0 65 67 0 0 0 65 100 0 0 0 66 83 -1 1 0 66 99 0 0 0 67 101 0 0 0 68 69 0 0 0 68 93 1 0 0 68 102 0 0 0 69 85 0 0 0 69 103 0 0 0 70 72 0 0 0 70 92 0 0 1 70 98 0 0 0 71 73 0 0 0 71 104 0 0 0 72 90 -1 0 1 72 96 -1 0 0 73 105 0 0 0 74 75 0 0 0 74 80 0 0 0 74 103 0 -1 1 75 76 -1 0 0 75 102 -1 -1 1 76 93 1 -1 1 76 106 0 0 0 77 107 0 0 0 77 108 0 0 0 78 106 0 0 0 78 109 0 0 0 79 99 1 -1 0 79 108 0 0 0 80 85 0 -1 1 80 106 -1 0 0 81 95 0 -1 0 81 108 0 0 0 82 83 0 0 0 82 84 1 0 0 82 110 0 0 0 83 100 0 -1 0 84 100 0 -1 0 85 107 0 1 -1 86 106 -1 1 -1 86 111 0 0 0 87 107 0 1 -1 87 112 0 0 0 88 96 0 0 -1 88 111 0 0 0 89 90 0 0 0 89 92 1 0 0 89 110 0 0 0 90 104 0 0 -1 91 98 0 0 -1 91 111 0 0 0 92 104 0 0 -1 93 107 -1 1 -1 94 108 0 1 0 94 112 0 0 1 95 109 -1 1 0 96 112 0 0 1 97 109 -1 1 0 97 111 0 0 1 98 112 -1 0 1 99 109 -1 1 0 100 113 0 0 0 101 102 0 0 0 101 103 1 0 0 101 113 0 0 0 102 105 0 1 -1 103 105 0 1 -1 104 114 0 0 0 105 114 0 0 0 110 113 0 -1 0 110 114 1 0 -1 113 114 0 1 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1089
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)
1089.421052631579
Genus (mofplus-deposit)
115
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)
1089.421052631579
Genus (rcsr-archive-key)
115
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)
(5^3.6^3)(5^4.6^2)2(5^5.6)7(5^6)9
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, 355.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 38 60 89 121 164 219 278
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, 715.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 67 103 136 178 231 285
72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 895.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 42 70 104 146 190 234 292
90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 1075.5.5.6.6.6 5.5.5.6.6.6 5^3.6^3 4 12 27 52 84 120 160 206 265 328
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, 1435.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 45 76 108 149 197 246 303
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, 1795.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 40 58 79 112 159 219 285
180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 2155.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 70 102 143 191 236 292
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, 2515.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 46 72 104 146 199 245 293
252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 2695.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 70 108 148 192 241 298
270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 3055.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 38 60 88 120 165 213 276
306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 3415.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 65 102 138 175 226 286

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

Net point symbol (rcsr-archive-key)
(5^3.6^3)(5^4.6^2)2(5^5.6)7(5^6)9
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, 2, 109, 112, 1135.5.5.6.6.6 5.5.5.6.6.6 5^3.6^3 4 12 27 52 84 120 160 206 265 328
3, 4, 5, 6, 7, 8, 81, 88, 99, 100, 103, 1045.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 45 76 108 149 197 246 303
9, 14, 16, 83, 89, 1025.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 70 108 148 192 241 298
10, 12, 15, 82, 91, 1015.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 42 70 104 146 190 234 292
11, 13, 17, 18, 19, 20, 49, 54, 64, 66, 70, 725.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 46 72 104 146 199 245 293
21, 22, 31, 32, 35, 36, 51, 55, 63, 68, 71, 735.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 65 102 138 175 226 286
23, 24, 27, 28, 33, 34, 50, 56, 65, 67, 69, 745.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 67 103 136 178 231 285
25, 26, 29, 30, 37, 38, 39, 40, 41, 42, 43, 445.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 70 102 143 191 236 292
45, 46, 57, 58, 61, 62, 79, 80, 84, 87, 94, 955.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 38 60 88 120 165 213 276
47, 48, 52, 53, 59, 60, 75, 78, 90, 92, 97, 985.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 38 60 89 121 164 219 278
76, 77, 85, 86, 93, 96, 105, 106, 107, 108, 110, 1115.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 40 58 79 112 159 219 285

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 342 of 342 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 342 of 342 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
odm
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
1495 (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
2400 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.