MOF++

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Net topology

srs-t

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

JSON · mfpx

480 vertices and 960 edges in the unit cell. 96 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 = 12.3737 Å, b = 12.3737 Å, c = 12.3737 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
480
Transitivity pqrs
5, 10, *, *
Catenated
no
No, computed from the graph of the net itself rather than read off its name: mofpp.periodicity v1 finds a single copy, so it is not interpenetrated on the MOF+ deposit, the graph of the uploaded topology file. Interpenetration is counted here as the number of separate copies of the net that share one repeat unit, so this is a measurement of the topology and not a marker in a string.

Canonical key

Systre key
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 10 0 0 0 5 12 0 0 0 5 13 0 0 0 6 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 15 0 0 0 7 17 0 0 0 8 16 0 0 0 8 18 0 0 0 9 17 0 0 0 9 19 0 0 0 9 20 0 0 0 10 20 0 0 0 10 21 0 0 0 11 18 0 0 0 11 22 0 0 0 11 23 0 0 0 12 23 0 0 0 12 24 0 0 0 13 21 0 0 0 13 24 0 0 0 13 25 0 0 0 14 26 0 0 0 14 27 0 0 0 14 28 0 0 0 15 27 0 0 0 15 29 0 0 0 16 28 0 0 0 16 30 0 0 0 17 29 0 0 0 17 31 0 0 0 18 30 0 0 0 18 32 0 0 0 19 33 0 0 0 19 34 0 0 0 19 35 0 0 0 20 35 0 0 0 20 36 0 0 0 21 36 0 0 0 21 37 0 0 0 22 32 0 0 0 22 38 0 0 0 22 39 0 0 0 23 39 0 0 0 23 40 0 0 0 24 41 0 0 0 24 42 0 0 0 25 37 0 0 0 25 41 0 0 0 25 43 0 0 0 26 44 0 0 0 26 45 0 0 0 26 46 0 0 0 27 44 0 0 0 27 47 0 0 0 28 46 0 0 0 28 48 0 0 0 29 47 0 0 0 29 49 0 0 0 30 48 0 0 0 30 50 0 0 0 31 49 0 0 0 31 51 0 0 0 31 52 0 0 0 32 50 0 0 0 32 53 0 0 0 33 52 0 0 0 33 54 0 0 0 33 55 0 0 0 34 55 0 0 0 34 56 0 0 0 34 57 0 0 0 35 57 0 0 0 35 58 0 0 0 36 58 0 0 0 36 59 0 0 0 37 59 0 0 0 37 60 0 0 0 38 53 0 0 0 38 61 0 0 0 38 62 0 0 0 39 62 0 0 0 39 63 0 0 0 40 63 0 0 0 40 64 0 0 0 40 65 0 0 0 41 66 0 0 0 41 67 0 0 0 42 65 0 0 0 42 67 0 0 0 42 68 0 0 0 43 60 0 0 0 43 66 0 0 0 43 69 0 0 0 44 70 0 0 0 44 71 0 0 0 45 72 0 0 0 45 73 0 0 0 45 74 0 0 0 46 73 0 0 0 46 75 0 0 0 47 71 0 0 0 47 76 0 0 0 48 75 0 0 0 48 77 0 0 0 49 76 0 0 0 49 78 0 0 0 50 77 0 0 0 50 79 0 0 0 51 78 0 0 0 51 80 0 0 0 51 81 0 0 0 52 81 0 0 0 52 82 0 0 0 53 79 0 0 0 53 83 0 0 0 54 82 0 0 0 54 84 0 0 0 54 85 0 0 0 55 85 0 0 0 55 86 0 0 0 56 86 0 0 0 56 87 0 0 0 56 88 0 0 0 57 88 0 0 0 57 89 0 0 0 58 89 0 0 0 58 90 0 0 0 59 90 0 0 0 59 91 0 0 0 60 91 0 0 0 60 92 0 0 0 61 83 0 0 0 61 93 0 0 0 61 94 0 0 0 62 94 0 0 0 62 95 0 0 0 63 95 0 0 0 63 96 0 0 0 64 96 0 0 0 64 97 0 0 0 64 98 0 0 0 65 98 0 0 0 65 99 0 0 0 66 100 0 0 0 66 101 0 0 0 67 101 0 0 0 67 102 0 0 0 68 99 0 0 0 68 102 0 0 0 68 103 0 0 0 69 92 0 0 0 69 100 0 0 0 69 104 0 0 0 70 105 0 0 0 70 106 0 0 0 70 107 0 0 0 71 106 0 0 0 71 108 0 0 0 72 105 0 0 0 72 109 0 0 0 72 110 0 0 0 73 111 0 0 0 73 112 0 0 0 74 110 0 0 0 74 112 0 0 0 74 113 0 0 0 75 111 0 0 0 75 114 0 0 0 76 108 0 0 0 76 115 0 0 0 77 114 0 0 0 77 116 0 0 0 78 115 0 0 0 78 117 0 0 0 79 118 0 0 0 79 119 0 0 0 80 117 0 0 0 80 120 0 0 0 80 121 0 0 0 81 121 0 0 0 81 122 0 0 0 82 122 0 0 0 82 123 0 0 0 83 119 0 0 0 83 124 0 0 0 84 123 0 0 0 84 125 0 0 0 84 126 0 0 0 85 109 1 0 0 85 126 0 0 0 86 109 1 0 0 86 110 1 0 0 87 110 1 0 0 87 113 1 0 0 87 127 0 0 0 88 127 0 0 0 88 128 0 0 0 89 128 0 0 0 89 129 0 0 0 90 129 0 0 0 90 130 0 0 0 91 130 0 0 0 91 131 0 0 0 92 131 0 0 0 92 132 0 0 0 93 124 0 0 0 93 133 0 0 0 93 134 0 0 0 94 134 0 0 0 94 135 0 0 0 95 135 0 0 0 95 136 0 0 0 96 136 0 0 0 96 137 0 0 0 97 121 0 1 0 97 122 0 1 0 97 137 0 0 0 98 122 0 1 0 98 123 0 1 0 99 123 0 1 0 99 125 0 1 0 100 138 0 0 0 100 139 0 0 0 101 139 0 0 0 101 140 0 0 0 102 140 0 0 0 102 141 0 0 0 103 125 0 1 0 103 141 0 0 0 103 142 0 0 0 104 138 0 0 0 104 143 0 0 0 104 144 0 0 0 105 145 0 0 0 105 146 0 0 0 106 147 0 0 0 106 148 0 0 0 107 146 0 0 0 107 148 0 0 0 107 149 0 0 0 108 147 0 0 0 108 150 0 0 0 109 145 0 0 0 111 151 0 0 0 111 152 0 0 0 112 152 0 0 0 112 153 0 0 0 113 153 0 0 0 113 154 0 0 0 114 151 0 0 0 114 155 0 0 0 115 150 0 0 0 115 156 0 0 0 116 155 0 0 0 116 157 0 0 0 116 158 0 0 0 117 156 0 0 0 117 159 0 0 0 118 158 0 0 0 118 160 0 0 0 118 161 0 0 0 119 161 0 0 0 119 162 0 0 0 120 159 0 0 0 120 163 0 0 0 120 164 0 0 0 121 164 0 0 0 124 162 0 0 0 124 165 0 0 0 125 166 0 0 0 126 145 1 0 0 126 166 0 0 0 127 154 1 0 0 127 167 0 0 0 128 167 0 0 0 128 168 0 0 0 129 168 0 0 0 129 169 0 0 0 130 169 0 0 0 130 170 0 0 0 131 170 0 0 0 131 171 0 0 0 132 171 0 0 0 132 172 0 0 0 132 173 0 0 0 133 165 0 0 0 133 174 0 0 0 133 175 0 0 0 134 172 0 0 1 134 175 0 0 0 135 172 0 0 1 135 173 0 0 1 136 173 0 0 1 136 176 0 0 0 137 164 0 1 0 137 176 0 0 0 138 177 0 0 0 138 178 0 0 0 139 178 0 0 0 139 179 0 0 0 140 157 1 1 -1 140 179 0 0 0 141 157 1 1 -1 141 158 1 1 -1 142 158 1 1 -1 142 160 1 1 -1 142 166 0 1 0 143 173 0 0 0 143 176 0 0 -1 143 180 0 0 0 144 177 0 0 0 144 180 0 0 0 144 181 0 0 0 145 182 0 0 0 146 182 0 0 0 146 183 0 0 0 147 184 0 0 0 147 185 0 0 0 148 185 0 0 0 148 186 0 0 0 149 183 0 0 0 149 186 0 0 0 149 187 0 0 0 150 184 0 0 0 150 188 0 0 0 151 189 0 0 0 151 190 0 0 0 152 190 0 0 0 152 191 0 0 0 153 191 0 0 0 153 192 0 0 0 154 192 0 0 0 154 193 0 0 0 155 189 0 0 0 155 194 0 0 0 156 188 0 0 0 156 195 0 0 0 157 194 0 0 0 159 195 0 0 0 159 196 0 0 0 160 182 0 0 1 160 183 0 0 1 161 183 0 0 1 161 187 0 0 1 162 187 0 0 1 162 197 0 0 0 163 196 0 0 0 163 198 0 0 0 163 199 0 0 0 164 199 0 0 0 165 197 0 0 0 165 200 0 0 0 166 182 1 0 0 167 193 1 0 0 167 201 0 0 0 168 196 1 1 -1 168 201 0 0 0 169 195 1 1 -1 169 202 0 0 0 170 202 0 0 0 170 203 0 0 0 171 203 0 0 0 171 204 0 0 0 172 204 0 0 0 174 205 0 0 0 174 206 0 0 0 174 207 0 0 0 175 204 0 0 1 175 206 0 0 0 176 199 0 1 0 177 208 0 0 0 177 209 0 0 0 178 209 0 0 0 178 210 0 0 0 179 194 1 1 -1 179 210 0 0 0 180 198 0 1 -1 180 199 0 1 -1 181 198 0 1 -1 181 208 0 0 0 181 211 0 0 0 184 212 0 0 0 184 213 0 0 0 185 213 0 0 0 185 214 0 0 0 186 214 0 0 0 186 215 0 0 0 187 215 0 0 0 188 212 0 0 0 188 216 0 0 0 189 217 0 0 0 189 218 0 0 0 190 218 0 0 0 190 219 0 0 0 191 219 0 0 0 191 220 0 0 0 192 220 0 0 0 192 221 0 0 0 193 221 0 0 0 193 222 0 0 0 194 217 0 0 0 195 216 0 0 0 196 223 0 0 0 197 215 0 0 1 197 224 0 0 0 198 223 0 0 0 200 224 0 0 0 200 225 0 0 0 200 226 0 0 0 201 222 1 0 0 201 223 1 1 -1 202 216 1 1 -1 202 227 0 0 0 203 227 0 0 0 203 228 0 0 0 204 228 0 0 0 205 217 1 0 0 205 218 1 0 0 205 226 0 0 0 206 228 0 0 1 206 229 0 0 0 207 218 1 0 0 207 219 1 0 0 207 229 0 0 0 208 225 0 1 -1 208 230 0 0 0 209 225 0 1 -1 209 226 0 1 -1 210 217 1 1 -1 210 226 0 1 -1 211 222 0 0 0 211 223 0 1 -1 211 230 0 0 0 212 231 0 0 0 212 232 0 0 0 213 232 0 0 0 213 233 0 0 0 214 233 0 0 0 214 234 0 0 0 215 234 0 0 0 216 231 0 0 0 219 235 0 0 0 220 232 0 1 0 220 235 0 0 0 221 233 0 1 0 221 236 0 0 0 222 236 0 0 0 224 234 0 0 1 224 237 0 0 0 225 237 0 0 0 227 231 1 1 -1 227 238 0 0 0 228 238 0 0 0 229 235 1 0 0 229 238 0 0 1 230 236 0 0 0 230 237 0 1 -1 231 239 0 0 0 232 239 0 0 0 233 240 0 0 0 234 240 0 0 0 235 239 0 1 0 236 240 0 1 0 237 240 0 0 1 238 239 1 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
dcab55aa47008ee7298d84255bc595b9 (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: 480 of 480 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. 480 of 480 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 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
1 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
2 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
3 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
4 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
5 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
6 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
7 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
8 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
9 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
10 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
11 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
12 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
13 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
14 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
15 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
16 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
17 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
18 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
19 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
20 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
21 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
22 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
23 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
24 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
25 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
26 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
27 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
28 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
29 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
30 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
31 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
32 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
33 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
34 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
35 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
36 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
37 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
38 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
39 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
40 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
41 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
42 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
43 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
44 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
45 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
46 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
47 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
48 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
49 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
50 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
51 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
52 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
53 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
54 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
55 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
56 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
57 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
58 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
59 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
60 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
61 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
62 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
63 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
64 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
65 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
66 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
67 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
68 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
69 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
70 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
71 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
72 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
73 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
74 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
75 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
76 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
77 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
78 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
79 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
80 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
81 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
82 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
83 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
84 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
85 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
86 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
87 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
88 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
89 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
90 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
91 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
92 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
93 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
94 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
95 4 14.4.4.4.6(2).6(2)4 8 13 19 26 35 46 60 78 99
96 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
97 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
98 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
99 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
100 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
101 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
102 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
103 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
104 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
105 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
106 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
107 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
108 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
109 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
110 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
111 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
112 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
113 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
114 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
115 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
116 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
117 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
118 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
119 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
120 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
121 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
122 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
123 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
124 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
125 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
126 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
127 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
128 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
129 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
130 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
131 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
132 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
133 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
134 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
135 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
136 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
137 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
138 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
139 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
140 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
141 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
142 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
143 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
144 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
145 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
146 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
147 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
148 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
149 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
150 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
151 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
152 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
153 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
154 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
155 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
156 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
157 4 14.4.4.4.6(2).6(2)4 8 12 18 26 35 47 61 77 97
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446 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
447 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
448 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
449 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
450 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
451 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
452 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
453 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
454 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
455 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
456 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
457 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
458 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
459 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
460 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
461 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
462 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
463 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
464 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
465 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
466 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
467 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
468 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
469 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
470 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
471 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
472 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
473 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
474 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
475 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
476 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
477 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
478 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96
479 4 14.4.4.4.6(2).6(2)4 8 12 17 25 36 48 61 77 96

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)
5, 10 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)
srs-t
Computed Systre key (mofplus-deposit)
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 10 0 0 0 5 12 0 0 0 5 13 0 0 0 6 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 15 0 0 0 7 17 0 0 0 8 16 0 0 0 8 18 0 0 0 9 17 0 0 0 9 19 0 0 0 9 20 0 0 0 10 20 0 0 0 10 21 0 0 0 11 18 0 0 0 11 22 0 0 0 11 23 0 0 0 12 23 0 0 0 12 24 0 0 0 13 21 0 0 0 13 24 0 0 0 13 25 0 0 0 14 26 0 0 0 14 27 0 0 0 14 28 0 0 0 15 27 0 0 0 15 29 0 0 0 16 28 0 0 0 16 30 0 0 0 17 29 0 0 0 17 31 0 0 0 18 30 0 0 0 18 32 0 0 0 19 33 0 0 0 19 34 0 0 0 19 35 0 0 0 20 35 0 0 0 20 36 0 0 0 21 36 0 0 0 21 37 0 0 0 22 32 0 0 0 22 38 0 0 0 22 39 0 0 0 23 39 0 0 0 23 40 0 0 0 24 41 0 0 0 24 42 0 0 0 25 37 0 0 0 25 41 0 0 0 25 43 0 0 0 26 44 0 0 0 26 45 0 0 0 26 46 0 0 0 27 44 0 0 0 27 47 0 0 0 28 46 0 0 0 28 48 0 0 0 29 47 0 0 0 29 49 0 0 0 30 48 0 0 0 30 50 0 0 0 31 49 0 0 0 31 51 0 0 0 31 52 0 0 0 32 50 0 0 0 32 53 0 0 0 33 52 0 0 0 33 54 0 0 0 33 55 0 0 0 34 55 0 0 0 34 56 0 0 0 34 57 0 0 0 35 57 0 0 0 35 58 0 0 0 36 58 0 0 0 36 59 0 0 0 37 59 0 0 0 37 60 0 0 0 38 53 0 0 0 38 61 0 0 0 38 62 0 0 0 39 62 0 0 0 39 63 0 0 0 40 63 0 0 0 40 64 0 0 0 40 65 0 0 0 41 66 0 0 0 41 67 0 0 0 42 65 0 0 0 42 67 0 0 0 42 68 0 0 0 43 60 0 0 0 43 66 0 0 0 43 69 0 0 0 44 70 0 0 0 44 71 0 0 0 45 72 0 0 0 45 73 0 0 0 45 74 0 0 0 46 73 0 0 0 46 75 0 0 0 47 71 0 0 0 47 76 0 0 0 48 75 0 0 0 48 77 0 0 0 49 76 0 0 0 49 78 0 0 0 50 77 0 0 0 50 79 0 0 0 51 78 0 0 0 51 80 0 0 0 51 81 0 0 0 52 81 0 0 0 52 82 0 0 0 53 79 0 0 0 53 83 0 0 0 54 82 0 0 0 54 84 0 0 0 54 85 0 0 0 55 85 0 0 0 55 86 0 0 0 56 86 0 0 0 56 87 0 0 0 56 88 0 0 0 57 88 0 0 0 57 89 0 0 0 58 89 0 0 0 58 90 0 0 0 59 90 0 0 0 59 91 0 0 0 60 91 0 0 0 60 92 0 0 0 61 83 0 0 0 61 93 0 0 0 61 94 0 0 0 62 94 0 0 0 62 95 0 0 0 63 95 0 0 0 63 96 0 0 0 64 96 0 0 0 64 97 0 0 0 64 98 0 0 0 65 98 0 0 0 65 99 0 0 0 66 100 0 0 0 66 101 0 0 0 67 101 0 0 0 67 102 0 0 0 68 99 0 0 0 68 102 0 0 0 68 103 0 0 0 69 92 0 0 0 69 100 0 0 0 69 104 0 0 0 70 105 0 0 0 70 106 0 0 0 70 107 0 0 0 71 106 0 0 0 71 108 0 0 0 72 105 0 0 0 72 109 0 0 0 72 110 0 0 0 73 111 0 0 0 73 112 0 0 0 74 110 0 0 0 74 112 0 0 0 74 113 0 0 0 75 111 0 0 0 75 114 0 0 0 76 108 0 0 0 76 115 0 0 0 77 114 0 0 0 77 116 0 0 0 78 115 0 0 0 78 117 0 0 0 79 118 0 0 0 79 119 0 0 0 80 117 0 0 0 80 120 0 0 0 80 121 0 0 0 81 121 0 0 0 81 122 0 0 0 82 122 0 0 0 82 123 0 0 0 83 119 0 0 0 83 124 0 0 0 84 123 0 0 0 84 125 0 0 0 84 126 0 0 0 85 109 1 0 0 85 126 0 0 0 86 109 1 0 0 86 110 1 0 0 87 110 1 0 0 87 113 1 0 0 87 127 0 0 0 88 127 0 0 0 88 128 0 0 0 89 128 0 0 0 89 129 0 0 0 90 129 0 0 0 90 130 0 0 0 91 130 0 0 0 91 131 0 0 0 92 131 0 0 0 92 132 0 0 0 93 124 0 0 0 93 133 0 0 0 93 134 0 0 0 94 134 0 0 0 94 135 0 0 0 95 135 0 0 0 95 136 0 0 0 96 136 0 0 0 96 137 0 0 0 97 121 0 1 0 97 122 0 1 0 97 137 0 0 0 98 122 0 1 0 98 123 0 1 0 99 123 0 1 0 99 125 0 1 0 100 138 0 0 0 100 139 0 0 0 101 139 0 0 0 101 140 0 0 0 102 140 0 0 0 102 141 0 0 0 103 125 0 1 0 103 141 0 0 0 103 142 0 0 0 104 138 0 0 0 104 143 0 0 0 104 144 0 0 0 105 145 0 0 0 105 146 0 0 0 106 147 0 0 0 106 148 0 0 0 107 146 0 0 0 107 148 0 0 0 107 149 0 0 0 108 147 0 0 0 108 150 0 0 0 109 145 0 0 0 111 151 0 0 0 111 152 0 0 0 112 152 0 0 0 112 153 0 0 0 113 153 0 0 0 113 154 0 0 0 114 151 0 0 0 114 155 0 0 0 115 150 0 0 0 115 156 0 0 0 116 155 0 0 0 116 157 0 0 0 116 158 0 0 0 117 156 0 0 0 117 159 0 0 0 118 158 0 0 0 118 160 0 0 0 118 161 0 0 0 119 161 0 0 0 119 162 0 0 0 120 159 0 0 0 120 163 0 0 0 120 164 0 0 0 121 164 0 0 0 124 162 0 0 0 124 165 0 0 0 125 166 0 0 0 126 145 1 0 0 126 166 0 0 0 127 154 1 0 0 127 167 0 0 0 128 167 0 0 0 128 168 0 0 0 129 168 0 0 0 129 169 0 0 0 130 169 0 0 0 130 170 0 0 0 131 170 0 0 0 131 171 0 0 0 132 171 0 0 0 132 172 0 0 0 132 173 0 0 0 133 165 0 0 0 133 174 0 0 0 133 175 0 0 0 134 172 0 0 1 134 175 0 0 0 135 172 0 0 1 135 173 0 0 1 136 173 0 0 1 136 176 0 0 0 137 164 0 1 0 137 176 0 0 0 138 177 0 0 0 138 178 0 0 0 139 178 0 0 0 139 179 0 0 0 140 157 1 1 -1 140 179 0 0 0 141 157 1 1 -1 141 158 1 1 -1 142 158 1 1 -1 142 160 1 1 -1 142 166 0 1 0 143 173 0 0 0 143 176 0 0 -1 143 180 0 0 0 144 177 0 0 0 144 180 0 0 0 144 181 0 0 0 145 182 0 0 0 146 182 0 0 0 146 183 0 0 0 147 184 0 0 0 147 185 0 0 0 148 185 0 0 0 148 186 0 0 0 149 183 0 0 0 149 186 0 0 0 149 187 0 0 0 150 184 0 0 0 150 188 0 0 0 151 189 0 0 0 151 190 0 0 0 152 190 0 0 0 152 191 0 0 0 153 191 0 0 0 153 192 0 0 0 154 192 0 0 0 154 193 0 0 0 155 189 0 0 0 155 194 0 0 0 156 188 0 0 0 156 195 0 0 0 157 194 0 0 0 159 195 0 0 0 159 196 0 0 0 160 182 0 0 1 160 183 0 0 1 161 183 0 0 1 161 187 0 0 1 162 187 0 0 1 162 197 0 0 0 163 196 0 0 0 163 198 0 0 0 163 199 0 0 0 164 199 0 0 0 165 197 0 0 0 165 200 0 0 0 166 182 1 0 0 167 193 1 0 0 167 201 0 0 0 168 196 1 1 -1 168 201 0 0 0 169 195 1 1 -1 169 202 0 0 0 170 202 0 0 0 170 203 0 0 0 171 203 0 0 0 171 204 0 0 0 172 204 0 0 0 174 205 0 0 0 174 206 0 0 0 174 207 0 0 0 175 204 0 0 1 175 206 0 0 0 176 199 0 1 0 177 208 0 0 0 177 209 0 0 0 178 209 0 0 0 178 210 0 0 0 179 194 1 1 -1 179 210 0 0 0 180 198 0 1 -1 180 199 0 1 -1 181 198 0 1 -1 181 208 0 0 0 181 211 0 0 0 184 212 0 0 0 184 213 0 0 0 185 213 0 0 0 185 214 0 0 0 186 214 0 0 0 186 215 0 0 0 187 215 0 0 0 188 212 0 0 0 188 216 0 0 0 189 217 0 0 0 189 218 0 0 0 190 218 0 0 0 190 219 0 0 0 191 219 0 0 0 191 220 0 0 0 192 220 0 0 0 192 221 0 0 0 193 221 0 0 0 193 222 0 0 0 194 217 0 0 0 195 216 0 0 0 196 223 0 0 0 197 215 0 0 1 197 224 0 0 0 198 223 0 0 0 200 224 0 0 0 200 225 0 0 0 200 226 0 0 0 201 222 1 0 0 201 223 1 1 -1 202 216 1 1 -1 202 227 0 0 0 203 227 0 0 0 203 228 0 0 0 204 228 0 0 0 205 217 1 0 0 205 218 1 0 0 205 226 0 0 0 206 228 0 0 1 206 229 0 0 0 207 218 1 0 0 207 219 1 0 0 207 229 0 0 0 208 225 0 1 -1 208 230 0 0 0 209 225 0 1 -1 209 226 0 1 -1 210 217 1 1 -1 210 226 0 1 -1 211 222 0 0 0 211 223 0 1 -1 211 230 0 0 0 212 231 0 0 0 212 232 0 0 0 213 232 0 0 0 213 233 0 0 0 214 233 0 0 0 214 234 0 0 0 215 234 0 0 0 216 231 0 0 0 219 235 0 0 0 220 232 0 1 0 220 235 0 0 0 221 233 0 1 0 221 236 0 0 0 222 236 0 0 0 224 234 0 0 1 224 237 0 0 0 225 237 0 0 0 227 231 1 1 -1 227 238 0 0 0 228 238 0 0 0 229 235 1 0 0 229 238 0 0 1 230 236 0 0 0 230 237 0 1 -1 231 239 0 0 0 232 239 0 0 0 233 240 0 0 0 234 240 0 0 0 235 239 0 1 0 236 240 0 1 0 237 240 0 0 1 238 239 1 1 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
389
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)
389.4
Genus (mofplus-deposit)
241
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)
389.4
Genus (rcsr-archive-key)
241
Shells walked (rcsr-archive-key)
10
Computed by (invariants, rcsr-archive-key)
mofpp.invariants 2 — ok

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

Net point symbol (mofplus-deposit)
(4^3.6^3)(4^4.6^2)4
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, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 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, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 3834.4.4.4.6(2).6(2) 4.4.4.4.20.20 4^4.6^2 4 8 13 19 26 35 46 60 78 99
96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 1914.4.4.4.6(2).6(2) 4.4.4.4.20.20 4^4.6^2 4 8 12 18 26 35 47 61 77 97
192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 2874.4.4.6.6.6 4.4.4.6.20.20 4^3.6^3 4 9 15 21 27 34 44 59 80 104
384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 4794.4.4.4.6(2).6(2) 4.4.4.4.20.20 4^4.6^2 4 8 12 17 25 36 48 61 77 96

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

Net point symbol (rcsr-archive-key)
(4^3.6^3)(4^4.6^2)4
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, 9, 14, 17, 21, 24, 27, 46, 56, 57, 65, 74, 77, 79, 82, 84, 85, 90, 94, 95, 101, 102, 111, 112, 121, 122, 133, 146, 147, 161, 166, 169, 176, 177, 181, 182, 187, 188, 193, 197, 198, 203, 218, 221, 228, 230, 233, 2364.4.4.4.6(2).6(2) 4.4.4.4.20.20 4^4.6^2 4 8 12 18 26 35 47 61 77 97
1, 5, 7, 15, 20, 35, 36, 37, 55, 58, 60, 61, 75, 83, 86, 87, 93, 96, 100, 107, 110, 114, 120, 124, 125, 126, 136, 138, 139, 148, 149, 150, 151, 163, 165, 178, 180, 185, 186, 189, 202, 207, 210, 214, 226, 227, 229, 2374.4.4.4.6(2).6(2) 4.4.4.4.20.20 4^4.6^2 4 8 12 17 25 36 48 61 77 96
2, 3, 4, 6, 10, 12, 13, 19, 26, 28, 29, 31, 33, 34, 38, 40, 42, 45, 47, 48, 50, 52, 53, 54, 59, 62, 63, 66, 67, 70, 72, 73, 80, 81, 88, 89, 92, 97, 98, 99, 105, 106, 108, 109, 113, 116, 118, 119, 123, 127, 129, 130, 134, 135, 137, 140, 141, 143, 144, 145, 152, 153, 154, 155, 156, 159, 160, 162, 170, 171, 174, 175, 179, 183, 184, 190, 192, 196, 200, 201, 205, 206, 208, 209, 211, 213, 215, 216, 217, 222, 223, 224, 234, 235, 238, 2394.4.4.4.6(2).6(2) 4.4.4.4.20.20 4^4.6^2 4 8 13 19 26 35 46 60 78 99
8, 11, 16, 18, 22, 23, 25, 30, 32, 39, 41, 43, 44, 49, 51, 64, 68, 69, 71, 76, 78, 91, 103, 104, 115, 117, 128, 131, 132, 142, 157, 158, 164, 167, 168, 172, 173, 191, 194, 195, 199, 204, 212, 219, 220, 225, 231, 2324.4.4.6.6.6 4.4.4.6.20.20 4^3.6^3 4 9 15 21 27 34 44 59 80 104

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 480 of 480 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 480 of 480 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
srs-t
Retrieved
2026-09-09
Licence
CC BY 4.0 — verified from MOF++ project decision, CONTEXT §6 (Licensing): MOF+ is this group's own service, so nets retrieved from it are the project's own data to license, and the project licenses its data CC BY 4.0. No third-party grant is claimed..
Published
yes

Position in the collection

RCSR index
1863 (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
2419 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.