Net topology

nas-d

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

JSON · mfpx

232 vertices and 464 edges in the unit cell. 90 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
Pa-3 (No. 205)
Cell lengths
a = 7.4094 Å, b = 7.4094 Å, c = 7.4094 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
232
Transitivity pqrs
11, 20, *, *
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 11 0 0 0 4 12 0 0 0 4 13 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 19 0 0 0 7 20 0 0 0 8 14 0 0 0 8 21 0 0 0 8 22 0 0 0 9 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 25 0 0 0 10 26 0 0 0 10 27 0 0 0 11 18 0 0 0 11 28 0 0 0 11 29 0 0 0 12 24 0 0 0 12 28 0 0 0 12 30 0 0 0 13 31 0 0 0 13 32 0 0 0 14 33 0 0 0 14 34 0 0 0 15 27 0 0 0 15 35 0 0 0 15 36 0 0 0 16 19 0 0 0 16 37 0 0 0 16 38 0 0 0 17 21 0 0 0 17 39 0 0 0 17 40 0 0 0 18 41 0 0 0 18 42 0 0 0 19 43 0 0 0 19 44 0 0 0 20 26 0 0 0 20 45 0 0 0 20 46 0 0 0 21 47 0 0 0 21 48 0 0 0 22 46 0 0 0 22 49 0 0 0 22 50 0 0 0 23 44 0 0 0 23 51 0 0 0 23 52 0 0 0 24 51 0 0 0 24 53 0 0 0 25 54 0 0 0 25 55 0 0 0 26 56 0 0 0 26 57 0 0 0 27 58 0 0 0 27 59 0 0 0 28 60 0 0 0 28 61 0 0 0 29 31 0 0 0 29 62 0 0 0 29 63 0 0 0 30 53 0 0 0 30 64 0 0 0 30 65 0 0 0 31 66 0 0 0 31 67 0 0 0 32 36 0 0 0 32 65 0 0 0 32 68 0 0 0 33 48 0 0 0 33 66 0 0 0 33 69 0 0 0 34 35 0 0 0 34 50 0 0 0 34 70 0 0 0 35 71 0 0 0 35 72 0 0 0 36 73 0 0 0 36 74 0 0 0 37 39 0 0 0 37 75 0 0 0 37 76 0 0 0 38 41 0 0 0 38 77 0 0 0 38 78 0 0 0 39 79 0 0 0 39 80 0 0 0 40 42 0 0 0 40 81 0 0 0 40 82 0 0 0 41 60 0 0 0 41 83 0 0 0 42 62 0 0 0 42 84 0 0 0 43 45 0 0 0 43 85 0 0 0 43 86 0 0 0 44 78 0 0 0 44 87 0 0 0 45 88 0 0 0 45 89 0 0 0 46 90 0 0 0 46 91 0 0 0 47 49 0 0 0 47 92 0 0 0 47 93 0 0 0 48 82 0 0 0 48 94 0 0 0 49 95 0 0 0 49 96 0 0 0 50 97 0 0 0 50 98 0 0 0 51 99 0 0 0 51 100 0 0 0 52 54 0 0 0 52 101 0 0 0 52 102 0 0 0 53 103 0 0 0 53 104 0 0 0 54 105 0 0 0 54 106 0 0 0 55 59 0 0 0 55 104 0 0 0 55 107 0 0 0 56 89 0 0 0 56 105 0 0 0 56 108 0 0 0 57 58 0 0 0 57 91 0 0 0 57 109 0 0 0 58 71 0 0 0 58 110 0 0 0 59 73 0 0 0 59 111 0 0 0 60 99 0 0 0 60 112 0 0 0 61 64 0 0 0 61 113 0 0 0 61 114 0 0 0 62 115 0 0 0 62 116 0 0 0 63 114 0 0 0 63 117 0 0 0 63 118 0 0 0 64 119 0 0 0 64 120 0 0 0 65 121 0 0 0 65 122 0 0 0 66 116 0 0 0 66 123 0 0 0 67 68 0 0 0 67 118 0 0 0 67 124 0 0 0 68 125 0 0 0 68 126 0 0 0 69 70 0 0 0 69 127 0 0 0 69 128 0 0 0 70 129 0 0 0 70 130 0 0 0 71 98 0 0 0 71 131 0 0 0 72 130 0 0 0 72 132 0 0 0 72 133 0 0 0 73 122 0 0 0 73 134 0 0 0 74 126 0 0 0 74 132 0 0 0 74 135 0 0 0 75 77 0 0 0 75 136 0 0 0 75 137 0 0 0 76 85 0 0 0 76 138 0 0 0 76 139 0 0 0 77 140 0 0 0 77 141 0 0 0 78 99 0 0 0 78 142 0 0 0 79 81 0 0 0 79 137 0 0 0 79 143 0 0 0 80 92 0 0 0 80 103 1 0 0 80 139 0 0 0 81 144 0 0 0 81 145 0 0 0 82 116 0 0 0 82 146 0 0 0 83 109 0 1 0 83 141 0 0 0 83 147 0 0 0 84 145 0 0 0 84 147 0 0 0 84 148 0 0 0 85 149 0 0 0 85 150 0 0 0 86 87 0 0 0 86 128 0 0 1 86 151 0 0 0 87 101 0 0 0 87 124 0 0 1 88 90 0 0 0 88 150 0 0 0 88 152 0 0 0 89 151 0 0 0 89 153 0 0 0 90 95 0 0 0 90 154 0 0 0 91 98 0 0 0 91 147 0 -1 0 92 104 1 0 0 92 155 0 0 0 93 94 0 0 0 93 122 1 0 0 93 156 0 0 0 94 157 0 0 0 94 158 0 0 0 95 155 0 0 0 95 159 0 0 0 96 97 0 0 0 96 156 0 0 0 96 160 0 0 0 97 129 0 0 0 97 161 0 0 0 98 148 0 -1 0 99 162 0 0 0 100 103 0 0 0 100 163 0 0 0 100 164 0 0 0 101 126 0 0 1 101 165 0 0 0 102 164 0 0 0 102 166 0 0 0 102 167 0 0 0 103 143 -1 0 0 104 122 0 0 0 105 165 0 0 0 105 168 0 0 0 106 107 0 0 0 106 167 0 0 0 106 169 0 0 0 107 155 -1 0 0 107 170 0 0 0 108 109 0 0 0 108 171 0 0 0 108 172 0 0 0 109 112 0 -1 0 110 111 0 0 0 110 113 0 -1 0 110 173 0 0 0 111 174 0 0 0 111 175 0 0 0 112 113 0 0 0 112 176 0 0 0 113 177 0 0 0 114 173 0 1 0 114 178 0 0 0 115 117 0 0 0 115 148 0 0 0 115 179 0 0 0 116 180 0 0 0 117 131 0 1 0 117 181 0 0 0 118 182 0 0 0 118 183 0 0 0 119 143 -1 0 0 119 144 -1 0 0 119 177 0 0 0 120 121 0 0 0 120 178 0 0 0 120 184 0 0 0 121 125 0 0 0 121 157 -1 0 0 123 124 0 0 0 123 128 0 0 0 123 185 0 0 0 124 142 0 0 -1 125 183 0 0 0 125 186 0 0 0 126 166 0 0 -1 127 149 0 0 -1 127 158 0 0 0 127 187 0 0 0 128 149 0 0 -1 129 187 0 0 0 129 188 0 0 0 130 151 0 0 -1 130 189 0 0 0 131 133 0 0 0 131 173 0 0 0 132 165 0 0 -1 132 190 0 0 0 133 181 0 -1 0 133 190 0 0 0 134 135 0 0 0 134 156 -1 0 0 134 175 0 0 0 135 191 0 0 0 135 192 0 0 0 136 138 0 0 0 136 185 0 0 1 136 193 0 0 0 137 194 0 0 0 137 195 0 0 0 138 149 0 0 0 138 196 0 0 0 139 164 1 0 0 139 197 0 0 0 140 142 0 0 0 140 185 0 0 1 140 198 0 0 0 141 171 0 1 0 141 195 0 0 0 142 182 0 0 1 143 199 0 0 0 144 184 1 0 0 144 200 0 0 0 145 200 0 0 0 145 201 0 0 0 146 157 0 0 0 146 184 1 0 0 146 202 0 0 0 147 201 0 0 0 148 161 0 1 0 150 197 0 0 0 150 203 0 0 0 151 165 0 0 0 152 153 0 0 0 152 204 0 0 0 152 205 0 0 0 153 171 0 0 0 153 189 0 0 1 154 159 0 0 0 154 201 0 -1 0 154 205 0 0 0 155 197 0 0 0 156 206 0 0 0 157 207 0 0 0 158 206 0 0 0 158 207 0 0 0 159 170 1 0 0 159 208 0 0 0 160 175 1 0 0 160 208 0 0 0 160 209 0 0 0 161 209 0 0 0 161 210 0 0 0 162 163 0 0 0 162 176 0 0 0 162 211 0 0 0 163 199 -1 0 0 163 212 0 0 0 164 213 0 0 0 166 186 0 0 1 166 191 0 0 1 167 197 -1 0 0 167 214 0 0 0 168 169 0 0 0 168 172 0 0 0 168 215 0 0 0 169 216 0 0 0 169 217 0 0 0 170 174 0 0 0 170 217 0 0 0 171 198 0 -1 0 172 176 0 -1 0 172 218 0 0 0 173 219 0 0 0 174 177 0 -1 0 174 208 -1 0 0 175 219 0 0 0 176 220 0 0 0 177 220 0 0 0 178 183 0 0 0 178 221 0 0 0 179 180 0 0 0 179 210 0 1 0 179 222 0 0 0 180 185 0 0 0 180 202 0 0 0 181 222 0 0 0 181 223 0 0 0 182 211 0 0 -1 182 223 0 0 0 183 224 0 0 0 184 225 0 0 0 186 207 -1 0 0 186 213 0 0 -1 187 203 0 0 -1 187 206 0 0 0 188 189 0 0 0 188 204 0 0 -1 188 210 0 0 0 189 222 0 -1 0 190 192 0 0 0 190 215 0 0 -1 191 206 -1 0 0 191 214 0 0 -1 192 219 0 0 0 192 226 0 0 0 193 196 0 0 0 193 202 0 0 1 193 227 0 0 0 194 199 0 0 0 194 227 0 0 0 194 228 0 0 0 195 201 0 0 0 195 205 0 1 0 196 207 0 0 1 196 213 1 0 0 198 222 0 0 1 198 223 0 0 1 199 220 1 0 0 200 208 0 1 0 200 209 0 1 0 202 229 0 0 0 203 204 0 0 0 203 214 1 0 0 204 230 0 0 0 205 228 0 -1 0 209 225 1 -1 0 210 229 0 -1 0 211 218 0 1 0 211 224 0 0 1 212 213 0 0 0 212 224 0 0 1 212 227 -1 0 0 214 216 0 0 0 215 218 0 0 0 215 226 0 0 1 216 226 0 0 1 216 230 -1 0 0 217 220 0 -1 0 217 228 -1 -1 0 218 223 0 -1 1 219 221 0 -1 0 221 225 0 0 0 221 231 0 0 0 224 231 0 0 0 225 229 -1 0 0 226 231 0 -1 0 227 232 0 0 0 228 230 0 1 0 229 232 0 0 -1 230 232 0 -1 0 231 232 -1 0 -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
5d12dd74685745a67e93d0dde83060a4 (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: 232 of 232 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. 232 of 232 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 Pa-3, 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 35.5.5.5.5.54 12 24 42 69 93 132 174 214 278
1 4 35.5.5.5.5.54 12 24 42 69 93 132 174 214 278
2 4 35.5.5.5.5.54 12 24 42 69 93 132 174 214 278
3 4 35.5.5.5.5.54 12 24 42 69 93 132 174 214 278
4 4 35.5.5.5.5.54 12 24 42 69 93 132 174 214 278
5 4 35.5.5.5.5.54 12 24 42 69 93 132 174 214 278
6 4 35.5.5.5.5.54 12 24 42 69 93 132 174 214 278
7 4 35.5.5.5.5.54 12 24 42 69 93 132 174 214 278
8 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
9 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
10 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
11 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
12 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
13 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
14 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
15 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
16 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
17 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
18 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
19 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
20 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
21 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
22 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
23 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
24 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
25 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
26 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
27 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
28 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
29 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
30 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
31 4 15.5.5.5.5.64 12 24 41 67 97 128 174 219 269
32 4 35.5.5.5.5.54 12 24 42 69 99 129 175 220 270
33 4 35.5.5.5.5.54 12 24 42 69 99 129 175 220 270
34 4 35.5.5.5.5.54 12 24 42 69 99 129 175 220 270
35 4 35.5.5.5.5.54 12 24 42 69 99 129 175 220 270
36 4 35.5.5.5.5.54 12 24 42 69 99 129 175 220 270
37 4 35.5.5.5.5.54 12 24 42 69 99 129 175 220 270
38 4 35.5.5.5.5.54 12 24 42 69 99 129 175 220 270
39 4 35.5.5.5.5.54 12 24 42 69 99 129 175 220 270
40 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
41 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
42 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
43 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
44 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
45 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
46 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
47 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
48 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
49 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
50 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
51 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
52 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
53 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
54 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
55 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
56 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
57 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
58 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
59 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
60 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
61 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
62 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
63 4 15.5.5.5.5.64 12 24 42 69 97 127 174 219 274
64 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
65 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
66 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
67 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
68 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
69 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
70 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
71 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
72 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
73 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
74 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
75 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
76 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
77 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
78 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
79 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
80 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
81 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
82 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
83 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
84 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
85 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
86 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
87 4 14.5.5.5.6.64 11 23 41 63 90 129 171 210 263
88 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
89 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
90 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
91 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
92 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
93 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
94 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
95 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
96 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
97 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
98 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
99 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
100 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
101 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
102 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
103 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
104 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
105 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
106 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
107 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
108 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
109 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
110 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
111 4 15.5.5.5.6.64 12 25 41 67 99 130 175 224 271
112 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
113 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
114 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
115 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
116 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
117 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
118 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
119 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
120 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
121 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
122 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
123 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
124 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
125 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
126 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
127 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
128 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
129 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
130 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
131 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
132 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
133 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
134 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
135 4 14.4.5.6.6.64 10 21 38 61 90 123 162 207 260
136 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
137 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
138 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
139 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
140 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
141 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
142 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
143 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
144 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
145 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
146 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
147 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
148 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
149 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
150 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
151 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
152 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
153 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
154 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
155 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
156 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
157 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
158 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
159 4 15.5.5.5.5.64 12 25 43 65 97 139 173 221 275
160 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
161 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
162 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
163 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
164 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
165 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
166 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
167 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
168 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
169 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
170 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
171 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
172 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
173 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
174 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
175 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
176 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
177 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
178 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
179 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
180 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
181 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
182 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
183 4 15.5.5.5.5.64 12 25 44 69 95 130 171 221 276
184 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
185 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
186 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
187 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
188 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
189 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
190 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
191 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
192 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
193 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
194 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
195 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
196 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
197 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
198 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
199 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
200 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
201 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
202 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
203 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
204 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
205 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
206 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
207 4 14.5.5.5.6.64 11 23 42 64 90 131 170 213 267
208 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
209 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
210 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
211 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
212 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
213 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
214 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
215 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
216 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
217 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
218 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
219 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
220 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
221 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
222 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
223 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
224 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
225 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
226 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
227 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
228 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
229 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
230 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273
231 4 15.5.5.5.5.64 12 24 42 65 97 130 173 221 273

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)
Pa-3 (No. 205)
Transitivity p, q (mofplus-deposit)
11, 20 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)
24
Repeat-unit factor (mofplus-deposit)
1
RCSR identification (mofplus-deposit)
nas-d
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 11 0 0 0 4 12 0 0 0 4 13 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 19 0 0 0 7 20 0 0 0 8 14 0 0 0 8 21 0 0 0 8 22 0 0 0 9 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 25 0 0 0 10 26 0 0 0 10 27 0 0 0 11 18 0 0 0 11 28 0 0 0 11 29 0 0 0 12 24 0 0 0 12 28 0 0 0 12 30 0 0 0 13 31 0 0 0 13 32 0 0 0 14 33 0 0 0 14 34 0 0 0 15 27 0 0 0 15 35 0 0 0 15 36 0 0 0 16 19 0 0 0 16 37 0 0 0 16 38 0 0 0 17 21 0 0 0 17 39 0 0 0 17 40 0 0 0 18 41 0 0 0 18 42 0 0 0 19 43 0 0 0 19 44 0 0 0 20 26 0 0 0 20 45 0 0 0 20 46 0 0 0 21 47 0 0 0 21 48 0 0 0 22 46 0 0 0 22 49 0 0 0 22 50 0 0 0 23 44 0 0 0 23 51 0 0 0 23 52 0 0 0 24 51 0 0 0 24 53 0 0 0 25 54 0 0 0 25 55 0 0 0 26 56 0 0 0 26 57 0 0 0 27 58 0 0 0 27 59 0 0 0 28 60 0 0 0 28 61 0 0 0 29 31 0 0 0 29 62 0 0 0 29 63 0 0 0 30 53 0 0 0 30 64 0 0 0 30 65 0 0 0 31 66 0 0 0 31 67 0 0 0 32 36 0 0 0 32 65 0 0 0 32 68 0 0 0 33 48 0 0 0 33 66 0 0 0 33 69 0 0 0 34 35 0 0 0 34 50 0 0 0 34 70 0 0 0 35 71 0 0 0 35 72 0 0 0 36 73 0 0 0 36 74 0 0 0 37 39 0 0 0 37 75 0 0 0 37 76 0 0 0 38 41 0 0 0 38 77 0 0 0 38 78 0 0 0 39 79 0 0 0 39 80 0 0 0 40 42 0 0 0 40 81 0 0 0 40 82 0 0 0 41 60 0 0 0 41 83 0 0 0 42 62 0 0 0 42 84 0 0 0 43 45 0 0 0 43 85 0 0 0 43 86 0 0 0 44 78 0 0 0 44 87 0 0 0 45 88 0 0 0 45 89 0 0 0 46 90 0 0 0 46 91 0 0 0 47 49 0 0 0 47 92 0 0 0 47 93 0 0 0 48 82 0 0 0 48 94 0 0 0 49 95 0 0 0 49 96 0 0 0 50 97 0 0 0 50 98 0 0 0 51 99 0 0 0 51 100 0 0 0 52 54 0 0 0 52 101 0 0 0 52 102 0 0 0 53 103 0 0 0 53 104 0 0 0 54 105 0 0 0 54 106 0 0 0 55 59 0 0 0 55 104 0 0 0 55 107 0 0 0 56 89 0 0 0 56 105 0 0 0 56 108 0 0 0 57 58 0 0 0 57 91 0 0 0 57 109 0 0 0 58 71 0 0 0 58 110 0 0 0 59 73 0 0 0 59 111 0 0 0 60 99 0 0 0 60 112 0 0 0 61 64 0 0 0 61 113 0 0 0 61 114 0 0 0 62 115 0 0 0 62 116 0 0 0 63 114 0 0 0 63 117 0 0 0 63 118 0 0 0 64 119 0 0 0 64 120 0 0 0 65 121 0 0 0 65 122 0 0 0 66 116 0 0 0 66 123 0 0 0 67 68 0 0 0 67 118 0 0 0 67 124 0 0 0 68 125 0 0 0 68 126 0 0 0 69 70 0 0 0 69 127 0 0 0 69 128 0 0 0 70 129 0 0 0 70 130 0 0 0 71 98 0 0 0 71 131 0 0 0 72 130 0 0 0 72 132 0 0 0 72 133 0 0 0 73 122 0 0 0 73 134 0 0 0 74 126 0 0 0 74 132 0 0 0 74 135 0 0 0 75 77 0 0 0 75 136 0 0 0 75 137 0 0 0 76 85 0 0 0 76 138 0 0 0 76 139 0 0 0 77 140 0 0 0 77 141 0 0 0 78 99 0 0 0 78 142 0 0 0 79 81 0 0 0 79 137 0 0 0 79 143 0 0 0 80 92 0 0 0 80 103 1 0 0 80 139 0 0 0 81 144 0 0 0 81 145 0 0 0 82 116 0 0 0 82 146 0 0 0 83 109 0 1 0 83 141 0 0 0 83 147 0 0 0 84 145 0 0 0 84 147 0 0 0 84 148 0 0 0 85 149 0 0 0 85 150 0 0 0 86 87 0 0 0 86 128 0 0 1 86 151 0 0 0 87 101 0 0 0 87 124 0 0 1 88 90 0 0 0 88 150 0 0 0 88 152 0 0 0 89 151 0 0 0 89 153 0 0 0 90 95 0 0 0 90 154 0 0 0 91 98 0 0 0 91 147 0 -1 0 92 104 1 0 0 92 155 0 0 0 93 94 0 0 0 93 122 1 0 0 93 156 0 0 0 94 157 0 0 0 94 158 0 0 0 95 155 0 0 0 95 159 0 0 0 96 97 0 0 0 96 156 0 0 0 96 160 0 0 0 97 129 0 0 0 97 161 0 0 0 98 148 0 -1 0 99 162 0 0 0 100 103 0 0 0 100 163 0 0 0 100 164 0 0 0 101 126 0 0 1 101 165 0 0 0 102 164 0 0 0 102 166 0 0 0 102 167 0 0 0 103 143 -1 0 0 104 122 0 0 0 105 165 0 0 0 105 168 0 0 0 106 107 0 0 0 106 167 0 0 0 106 169 0 0 0 107 155 -1 0 0 107 170 0 0 0 108 109 0 0 0 108 171 0 0 0 108 172 0 0 0 109 112 0 -1 0 110 111 0 0 0 110 113 0 -1 0 110 173 0 0 0 111 174 0 0 0 111 175 0 0 0 112 113 0 0 0 112 176 0 0 0 113 177 0 0 0 114 173 0 1 0 114 178 0 0 0 115 117 0 0 0 115 148 0 0 0 115 179 0 0 0 116 180 0 0 0 117 131 0 1 0 117 181 0 0 0 118 182 0 0 0 118 183 0 0 0 119 143 -1 0 0 119 144 -1 0 0 119 177 0 0 0 120 121 0 0 0 120 178 0 0 0 120 184 0 0 0 121 125 0 0 0 121 157 -1 0 0 123 124 0 0 0 123 128 0 0 0 123 185 0 0 0 124 142 0 0 -1 125 183 0 0 0 125 186 0 0 0 126 166 0 0 -1 127 149 0 0 -1 127 158 0 0 0 127 187 0 0 0 128 149 0 0 -1 129 187 0 0 0 129 188 0 0 0 130 151 0 0 -1 130 189 0 0 0 131 133 0 0 0 131 173 0 0 0 132 165 0 0 -1 132 190 0 0 0 133 181 0 -1 0 133 190 0 0 0 134 135 0 0 0 134 156 -1 0 0 134 175 0 0 0 135 191 0 0 0 135 192 0 0 0 136 138 0 0 0 136 185 0 0 1 136 193 0 0 0 137 194 0 0 0 137 195 0 0 0 138 149 0 0 0 138 196 0 0 0 139 164 1 0 0 139 197 0 0 0 140 142 0 0 0 140 185 0 0 1 140 198 0 0 0 141 171 0 1 0 141 195 0 0 0 142 182 0 0 1 143 199 0 0 0 144 184 1 0 0 144 200 0 0 0 145 200 0 0 0 145 201 0 0 0 146 157 0 0 0 146 184 1 0 0 146 202 0 0 0 147 201 0 0 0 148 161 0 1 0 150 197 0 0 0 150 203 0 0 0 151 165 0 0 0 152 153 0 0 0 152 204 0 0 0 152 205 0 0 0 153 171 0 0 0 153 189 0 0 1 154 159 0 0 0 154 201 0 -1 0 154 205 0 0 0 155 197 0 0 0 156 206 0 0 0 157 207 0 0 0 158 206 0 0 0 158 207 0 0 0 159 170 1 0 0 159 208 0 0 0 160 175 1 0 0 160 208 0 0 0 160 209 0 0 0 161 209 0 0 0 161 210 0 0 0 162 163 0 0 0 162 176 0 0 0 162 211 0 0 0 163 199 -1 0 0 163 212 0 0 0 164 213 0 0 0 166 186 0 0 1 166 191 0 0 1 167 197 -1 0 0 167 214 0 0 0 168 169 0 0 0 168 172 0 0 0 168 215 0 0 0 169 216 0 0 0 169 217 0 0 0 170 174 0 0 0 170 217 0 0 0 171 198 0 -1 0 172 176 0 -1 0 172 218 0 0 0 173 219 0 0 0 174 177 0 -1 0 174 208 -1 0 0 175 219 0 0 0 176 220 0 0 0 177 220 0 0 0 178 183 0 0 0 178 221 0 0 0 179 180 0 0 0 179 210 0 1 0 179 222 0 0 0 180 185 0 0 0 180 202 0 0 0 181 222 0 0 0 181 223 0 0 0 182 211 0 0 -1 182 223 0 0 0 183 224 0 0 0 184 225 0 0 0 186 207 -1 0 0 186 213 0 0 -1 187 203 0 0 -1 187 206 0 0 0 188 189 0 0 0 188 204 0 0 -1 188 210 0 0 0 189 222 0 -1 0 190 192 0 0 0 190 215 0 0 -1 191 206 -1 0 0 191 214 0 0 -1 192 219 0 0 0 192 226 0 0 0 193 196 0 0 0 193 202 0 0 1 193 227 0 0 0 194 199 0 0 0 194 227 0 0 0 194 228 0 0 0 195 201 0 0 0 195 205 0 1 0 196 207 0 0 1 196 213 1 0 0 198 222 0 0 1 198 223 0 0 1 199 220 1 0 0 200 208 0 1 0 200 209 0 1 0 202 229 0 0 0 203 204 0 0 0 203 214 1 0 0 204 230 0 0 0 205 228 0 -1 0 209 225 1 -1 0 210 229 0 -1 0 211 218 0 1 0 211 224 0 0 1 212 213 0 0 0 212 224 0 0 1 212 227 -1 0 0 214 216 0 0 0 215 218 0 0 0 215 226 0 0 1 216 226 0 0 1 216 230 -1 0 0 217 220 0 -1 0 217 228 -1 -1 0 218 223 0 -1 1 219 221 0 -1 0 221 225 0 0 0 221 231 0 0 0 224 231 0 0 0 225 229 -1 0 0 226 231 0 -1 0 227 232 0 0 0 228 230 0 1 0 229 232 0 0 -1 230 232 0 -1 0 231 232 -1 0 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1031
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)
1031.1724137931035
Genus (mofplus-deposit)
233
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)
1031.1724137931035
Genus (rcsr-archive-key)
233
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)
(4.5^3.6^2)6(4^2.5.6^3)3(5^4.6^2)3(5^5.6)15(5^6)2
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, 75.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 42 69 93 132 174 214 278
8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 315.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 24 41 67 97 128 174 219 269
32, 33, 34, 35, 36, 37, 38, 395.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 42 69 99 129 175 220 270
40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 635.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 24 42 69 97 127 174 219 274
64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 874.5.5.5.6.6 4.5.5.5.6.6 4.5^3.6^2 4 11 23 41 63 90 129 171 210 263
88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 1115.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 25 41 67 99 130 175 224 271
112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 1354.4.5.6.6.6 4.4.5.6.6.6 4^2.5.6^3 4 10 21 38 61 90 123 162 207 260
136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 1595.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 65 97 139 173 221 275
160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 1835.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 44 69 95 130 171 221 276
184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 2074.5.5.5.6.6 4.5.5.5.6.6 4.5^3.6^2 4 11 23 42 64 90 131 170 213 267
208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 2315.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 24 42 65 97 130 173 221 273

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

Net point symbol (rcsr-archive-key)
(4.5^3.6^2)6(4^2.5.6^3)3(5^4.6^2)3(5^5.6)15(5^6)2
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, 2, 3, 8, 11, 23, 126, 132, 137, 144, 148, 153, 157, 158, 180, 189, 195, 199, 200, 206, 207, 214, 217, 2224.4.5.6.6.6 4.4.5.6.6.6 4^2.5.6^3 4 10 21 38 61 90 123 162 207 260
1, 9, 12, 22, 27, 52, 75, 80, 93, 94, 127, 130, 131, 146, 171, 173, 181, 185, 186, 192, 204, 208, 221, 2254.5.5.5.6.6 4.5.5.5.6.6 4.5^3.6^2 4 11 23 42 64 90 131 170 213 267
4, 6, 10, 24, 29, 50, 68, 71, 83, 84, 89, 116, 135, 143, 156, 159, 167, 169, 191, 194, 197, 205, 210, 2124.5.5.5.6.6 4.5.5.5.6.6 4.5^3.6^2 4 11 23 41 63 90 129 171 210 263
5, 26, 31, 43, 47, 48, 59, 78, 90, 103, 107, 117, 122, 138, 160, 164, 165, 172, 176, 188, 201, 202, 227, 2305.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 24 41 67 97 128 174 219 269
7, 25, 30, 36, 39, 51, 60, 70, 73, 82, 85, 92, 102, 110, 124, 128, 141, 151, 154, 175, 178, 215, 224, 2265.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 24 42 69 97 127 174 219 274
13, 19, 28, 34, 41, 42, 53, 63, 69, 74, 87, 99, 106, 114, 120, 134, 139, 140, 155, 161, 168, 174, 183, 2115.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 24 42 65 97 130 173 221 273
14, 17, 18, 32, 45, 54, 62, 64, 95, 98, 104, 118, 129, 136, 145, 147, 149, 163, 170, 184, 190, 216, 218, 2235.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 25 41 67 99 130 175 224 271
15, 21, 35, 40, 55, 58, 65, 77, 81, 96, 97, 101, 113, 121, 142, 150, 152, 179, 182, 193, 196, 213, 219, 2205.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 65 97 139 173 221 275
16, 20, 38, 46, 56, 57, 66, 67, 79, 86, 91, 100, 108, 109, 111, 112, 123, 125, 187, 203, 209, 228, 229, 2315.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 44 69 95 130 171 221 276
33, 44, 61, 76, 105, 119, 133, 1625.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 42 69 93 132 174 214 278
37, 49, 72, 88, 115, 166, 177, 1985.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 42 69 99 129 175 220 270

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 232 of 232 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 232 of 232 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
nas-d
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
1368 (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
2358 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.