Net topology

num

Ingested production record from rcsr. Per-field provenance in field_sources. No geometry: the RCSR archive carries none.

JSON · mfpx

816 vertices and 2448 edges in the unit cell. 318 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.
Computed drawing, not a deposit. This geometry is computed, not deposited. No contributor has uploaded a structure for this net: it came from the RCSR Systre archive, which carries a canonical key and no coordinates at all. What is drawn here is the net's maximum-symmetry embedding, computed from that key by Systre 19.6.0 and read into a cell, coordinates and edges by mofpp.embedding v1. Every edge is the same length and the cell is the ideal cell of the net's own symmetry group, scaled so that the mean edge is 1: it is a drawing of the net, an abstract periodic graph, and not a measurement of any material. The lengths in angstrom of a real framework built on this topology are not stated here and are not implied by it.

Crystallographic description

Spacegroup
Fd-3m (No. 227)
Cell lengths
a = 10.0943, b = 10.0943, c = 10.0943
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
This geometry is computed, not deposited. No contributor has uploaded a structure for this net: it came from the RCSR Systre archive, which carries a canonical key and no coordinates at all. What is drawn here is the net's maximum-symmetry embedding, computed from that key by Systre 19.6.0 and read into a cell, coordinates and edges by mofpp.embedding v1. Every edge is the same length and the cell is the ideal cell of the net's own symmetry group, scaled so that the mean edge is 1: it is a drawing of the net, an abstract periodic graph, and not a measurement of any material. The lengths in angstrom of a real framework built on this topology are not stated here and are not implied by it.
Vertices in cell
816
Transitivity pqrs
7, 18, *, *
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 RCSR archive key, the canonical key the archive states. 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 1 6 0 0 0 1 7 0 0 0 2 3 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 2 11 0 0 0 3 12 0 0 0 3 13 0 0 0 3 14 0 0 0 3 15 0 0 0 4 5 0 0 0 4 10 0 0 0 4 16 0 0 0 4 17 0 0 0 4 18 0 0 0 5 14 0 0 0 5 19 0 0 0 5 20 0 0 0 5 21 0 0 0 6 7 0 0 0 6 18 0 0 0 6 22 0 0 0 6 23 0 0 0 6 24 0 0 0 7 21 0 0 0 7 25 0 0 0 7 26 0 0 0 7 27 0 0 0 8 11 0 0 0 8 28 0 0 0 8 29 0 0 0 8 30 0 0 0 8 31 0 0 0 9 10 0 0 0 9 13 0 0 0 9 28 0 0 0 9 32 0 0 0 9 33 0 0 0 10 16 0 0 0 10 34 0 0 0 10 35 0 0 0 11 22 0 0 0 11 35 0 0 0 11 36 0 0 0 11 37 0 0 0 12 15 0 0 0 12 29 0 0 0 12 38 0 0 0 12 39 0 0 0 12 40 0 0 0 13 14 0 0 0 13 33 0 0 0 13 38 0 0 0 13 41 0 0 0 14 19 0 0 0 14 42 0 0 0 14 43 0 0 0 15 25 0 0 0 15 43 0 0 0 15 44 0 0 0 15 45 0 0 0 16 19 0 0 0 16 33 0 0 0 16 46 0 0 0 16 47 0 0 0 17 18 0 0 0 17 20 0 0 0 17 48 0 0 0 17 49 0 0 0 17 50 0 0 0 18 23 0 0 0 18 51 0 0 0 18 52 0 0 0 19 33 0 0 0 19 53 0 0 0 19 54 0 0 0 20 21 0 0 0 20 50 0 0 0 20 55 0 0 0 20 56 0 0 0 21 26 0 0 0 21 57 0 0 0 21 58 0 0 0 22 24 0 0 0 22 37 0 0 0 22 51 0 0 0 22 59 0 0 0 23 26 0 0 0 23 50 0 0 0 23 60 0 0 0 23 61 0 0 0 24 61 0 0 0 24 62 0 0 0 24 63 0 0 0 24 64 0 0 0 25 27 0 0 0 25 45 0 0 0 25 57 0 0 0 25 65 0 0 0 26 50 0 0 0 26 66 0 0 0 26 67 0 0 0 27 67 0 0 0 27 68 0 0 0 27 69 0 0 0 27 70 0 0 0 28 31 0 0 0 28 32 0 0 0 28 71 0 0 0 28 72 0 0 0 29 30 0 0 0 29 39 0 0 0 29 72 0 0 0 29 73 0 0 0 30 74 0 0 0 30 75 0 0 0 30 76 0 0 0 30 77 0 0 0 31 36 0 0 0 31 75 0 0 0 31 78 0 0 0 31 79 0 0 0 32 34 0 0 0 32 79 0 0 0 32 80 0 0 0 32 81 0 0 0 33 82 0 0 0 33 83 0 0 0 34 35 0 0 0 34 79 0 0 0 34 84 0 0 0 34 85 0 0 0 35 36 0 0 0 35 51 0 0 0 35 86 0 0 0 36 79 0 0 0 36 87 0 0 0 36 88 0 0 0 37 88 0 0 0 37 89 0 0 0 37 90 0 0 0 37 91 0 0 0 38 40 0 0 0 38 41 0 0 0 38 72 0 0 0 38 92 0 0 0 39 93 0 0 0 39 94 0 0 0 39 95 0 0 0 39 96 0 0 0 40 44 0 0 0 40 94 0 0 0 40 97 0 0 0 40 98 0 0 0 41 42 0 0 0 41 98 0 0 0 41 99 0 0 0 41 100 0 0 0 42 43 0 0 0 42 98 0 0 0 42 101 0 0 0 42 102 0 0 0 43 44 0 0 0 43 57 0 0 0 43 103 0 0 0 44 98 0 0 0 44 104 0 0 0 44 105 0 0 0 45 105 0 0 0 45 106 0 0 0 45 107 0 0 0 45 108 0 0 0 46 47 0 0 0 46 82 0 0 0 46 84 0 0 0 46 109 0 0 0 46 110 0 0 0 47 48 0 0 0 47 54 0 0 0 47 111 0 0 0 47 112 0 0 0 48 49 0 0 0 48 55 0 0 0 48 112 0 0 0 48 113 0 0 0 49 114 0 0 0 49 115 0 0 0 49 116 0 0 0 49 117 0 0 0 50 117 0 0 0 50 118 0 0 0 51 52 0 0 0 51 59 0 0 0 51 86 0 0 0 52 60 0 0 0 52 115 0 0 0 52 119 0 0 0 52 120 0 0 0 53 54 0 0 0 53 83 0 0 0 53 101 0 0 0 53 121 0 0 0 53 122 0 0 0 54 55 0 0 0 54 111 0 0 0 54 123 0 0 0 55 56 0 0 0 55 113 0 0 0 55 123 0 0 0 56 118 0 0 0 56 124 0 0 0 56 125 0 0 0 56 126 0 0 0 57 58 0 0 0 57 65 0 0 0 57 103 0 0 0 58 66 0 0 0 58 125 0 0 0 58 127 0 0 0 58 128 0 0 0 59 63 0 0 0 59 90 0 0 0 59 120 0 0 0 59 129 0 0 0 60 61 0 0 0 60 97 1 0 0 60 120 0 0 0 60 130 0 0 0 61 63 0 0 0 61 131 0 0 0 61 132 0 0 0 62 64 0 0 0 62 91 0 0 0 62 122 0 1 0 62 133 0 0 0 62 134 0 0 0 63 120 0 0 0 63 134 0 0 0 63 135 0 0 0 64 70 0 0 0 64 131 0 0 0 64 136 0 0 0 64 137 0 0 0 65 69 0 0 0 65 107 0 0 0 65 128 0 0 0 65 138 0 0 0 66 67 0 0 0 66 78 0 0 1 66 128 0 0 0 66 139 0 0 0 67 69 0 0 0 67 140 0 0 0 67 141 0 0 0 68 70 0 0 0 68 108 0 0 0 68 110 -1 1 1 68 142 0 0 0 68 143 0 0 0 69 128 0 0 0 69 143 0 0 0 69 144 0 0 0 70 136 0 0 0 70 140 0 0 0 70 145 0 0 0 71 72 0 0 0 71 78 0 0 0 71 146 0 0 0 71 147 0 0 0 71 148 0 0 0 72 73 0 0 0 72 92 0 0 0 73 74 0 0 0 73 93 0 0 0 73 148 0 0 0 73 149 0 0 0 74 75 0 0 0 74 144 0 0 -1 74 148 0 0 0 74 150 0 0 0 75 78 0 0 0 75 141 0 0 -1 75 151 0 0 0 76 77 0 0 0 76 95 0 0 0 76 112 -1 1 0 76 113 -1 1 0 76 150 0 0 0 77 89 0 0 0 77 151 0 0 0 77 152 0 0 0 77 153 0 0 0 78 139 0 0 -1 78 148 0 0 0 79 154 0 0 0 79 155 0 0 0 80 81 0 0 0 80 147 0 0 0 80 154 0 0 0 80 156 0 0 0 80 157 0 0 0 81 82 0 0 0 81 84 0 0 0 81 142 1 -1 -1 81 158 0 0 0 82 83 0 0 0 82 109 0 0 0 82 158 0 0 0 83 100 0 0 0 83 121 0 0 0 83 159 0 0 0 84 85 0 0 0 84 110 0 0 0 84 142 1 -1 -1 85 155 0 0 0 85 160 0 0 0 85 161 0 0 0 85 162 0 0 0 86 87 0 0 0 86 129 0 0 0 86 162 0 0 0 86 163 0 0 0 87 88 0 0 0 87 104 1 0 -1 87 129 0 0 0 87 164 0 0 0 88 90 0 0 0 88 165 0 0 0 88 166 0 0 0 89 91 0 0 0 89 153 0 0 0 89 165 0 0 0 89 167 0 0 0 90 129 0 0 0 90 168 0 0 0 90 169 0 0 0 91 133 0 0 0 91 159 0 1 0 91 169 0 0 0 92 97 0 0 0 92 149 0 0 0 92 170 0 0 0 92 171 0 0 0 93 94 0 0 0 93 135 -1 0 0 93 149 0 0 0 93 172 0 0 0 94 97 0 0 0 94 132 -1 0 0 94 173 0 0 0 95 96 0 0 0 95 113 -1 1 0 95 123 -1 1 0 95 172 0 0 0 96 106 0 0 0 96 173 0 0 0 96 174 0 0 0 96 175 0 0 0 97 130 -1 0 0 97 149 0 0 0 98 176 0 0 0 98 177 0 0 0 99 100 0 0 0 99 171 0 0 0 99 176 0 0 0 99 178 0 0 0 99 179 0 0 0 100 101 0 0 0 100 133 0 -1 0 100 159 0 0 0 101 102 0 0 0 101 122 0 0 0 101 133 0 -1 0 102 177 0 0 0 102 180 0 0 0 102 181 0 0 0 102 182 0 0 0 103 104 0 0 0 103 138 0 0 0 103 182 0 0 0 103 183 0 0 0 104 105 0 0 0 104 138 0 0 0 104 164 -1 0 1 105 107 0 0 0 105 166 -1 0 1 105 184 0 0 0 106 108 0 0 0 106 175 0 0 0 106 184 0 0 0 106 185 0 0 0 107 138 0 0 0 107 168 -1 0 1 107 186 0 0 0 108 142 0 0 0 108 158 -1 1 1 108 186 0 0 0 109 111 0 0 0 109 121 0 0 0 109 143 1 -1 -1 109 186 1 -1 -1 110 143 1 -1 -1 110 145 1 -1 -1 110 187 0 0 0 111 121 0 0 0 111 150 1 -1 0 111 172 1 -1 0 112 150 1 -1 0 112 152 1 -1 0 112 187 0 0 0 113 116 0 0 0 113 126 0 0 0 114 115 0 0 0 114 152 1 -1 0 114 153 1 -1 0 114 178 1 0 0 114 188 0 0 0 115 119 0 0 0 115 130 0 0 0 115 171 1 0 0 116 117 0 0 0 116 126 0 0 0 116 153 1 -1 0 116 179 1 0 0 117 118 0 0 0 117 130 0 0 0 117 176 1 0 0 118 126 0 0 0 118 139 0 0 0 118 154 0 0 1 119 163 0 0 0 119 170 1 0 0 119 189 0 0 0 119 190 0 0 0 120 149 1 0 0 120 190 0 0 0 121 134 0 -1 0 121 169 0 -1 0 122 134 0 -1 0 122 137 0 -1 0 122 191 0 0 0 123 172 1 -1 0 123 174 1 -1 0 123 191 0 0 0 124 125 0 0 0 124 156 0 0 1 124 174 1 -1 0 124 175 1 -1 0 124 192 0 0 0 125 127 0 0 0 125 139 0 0 0 125 147 0 0 1 126 157 0 0 1 126 175 1 -1 0 127 146 0 0 1 127 183 0 0 0 127 193 0 0 0 127 194 0 0 0 128 148 0 0 1 128 194 0 0 0 129 138 1 0 -1 129 195 0 0 0 130 171 1 0 0 130 176 1 0 0 131 132 0 0 0 131 137 0 0 0 131 140 0 0 0 131 196 0 0 0 132 135 0 0 0 132 173 1 0 0 132 191 0 1 0 133 179 0 1 0 133 180 0 1 0 134 135 0 0 0 134 169 0 0 0 135 172 1 0 0 135 191 0 1 0 136 160 -1 1 1 136 161 -1 1 1 136 180 0 1 0 136 181 0 1 0 137 181 0 1 0 137 191 0 1 0 137 197 0 0 0 138 195 -1 0 1 139 147 0 0 1 139 154 0 0 1 140 141 0 0 0 140 145 0 0 0 140 196 0 0 0 141 144 0 0 0 141 151 0 0 1 141 187 -1 1 1 142 157 -1 1 1 142 160 -1 1 1 143 144 0 0 0 143 186 0 0 0 144 150 0 0 1 144 187 -1 1 1 145 161 -1 1 1 145 187 -1 1 1 145 198 0 0 0 146 147 0 0 0 146 170 0 0 0 146 194 0 0 -1 146 199 0 0 0 147 156 0 0 0 148 194 0 0 -1 149 190 -1 0 0 150 172 0 0 0 151 152 0 0 0 151 165 0 0 0 151 200 0 0 0 152 187 -1 1 0 152 188 -1 1 0 153 178 0 1 0 153 179 0 1 0 154 155 0 0 0 154 157 0 0 0 155 160 0 0 0 155 164 0 0 0 155 177 1 0 -1 156 175 1 -1 -1 156 185 1 -1 -1 156 201 0 0 0 157 160 0 0 0 157 175 1 -1 -1 158 185 1 -1 -1 158 186 1 -1 -1 158 202 0 0 0 159 167 0 -1 0 159 169 0 -1 0 159 202 0 0 0 160 180 1 0 -1 161 162 0 0 0 161 181 1 0 -1 161 198 1 -1 -1 162 163 0 0 0 162 164 0 0 0 162 182 1 0 -1 163 183 1 0 -1 163 189 0 0 0 163 195 0 0 0 164 177 1 0 -1 164 182 1 0 -1 165 166 0 0 0 165 167 0 0 0 165 200 0 0 0 166 168 0 0 0 166 184 1 0 -1 166 202 0 1 0 167 178 0 1 0 167 202 0 1 0 167 203 0 0 0 168 169 0 0 0 168 186 1 0 -1 168 202 0 1 0 170 171 0 0 0 170 190 -1 0 0 170 199 0 0 0 171 178 0 0 0 173 174 0 0 0 173 184 0 0 0 173 204 0 0 0 174 191 -1 1 0 174 192 -1 1 0 176 177 0 0 0 176 179 0 0 0 177 180 0 0 0 178 203 0 -1 0 179 180 0 0 0 181 182 0 0 0 181 197 0 -1 0 182 183 0 0 0 183 193 0 0 0 183 195 -1 0 1 184 185 0 0 0 184 204 0 0 0 185 201 -1 1 1 185 202 -1 1 1 188 189 0 0 0 188 198 1 -1 -1 188 200 1 -1 0 188 203 1 -1 0 189 193 1 0 -1 189 198 1 -1 -1 189 199 1 0 0 190 194 1 0 -1 190 195 0 0 0 192 193 0 0 0 192 197 0 -1 0 192 201 0 0 1 192 204 1 -1 0 193 197 0 -1 0 193 199 0 0 1 194 195 -1 0 1 196 197 0 0 0 196 198 0 0 0 196 200 0 0 1 196 204 1 0 0 197 198 0 0 0 199 201 0 0 0 199 203 0 -1 0 200 203 0 0 0 200 204 1 0 -1 201 203 0 -1 0 201 204 1 -1 -1
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01, and re-canonicalised here. Systre 19.6.0 was run on the RCSR archive key, the canonical key the archive states — on this very text, which is the only graph this record carries — and returned the same key, character for character. That is a check on the copy and not a second source: the input was the archive key itself, so the two statements are not independent, and what the run establishes is that the text is a well-formed canonical key which Systre reproduces unchanged. A deposited graph of this net would be the independent statement; this record holds none. 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
c79a55cd14c60ab5de37826bba103648 (rcsr)

Vertices

No coordination sequence is recorded for this net: the source stores none. Every sequence below is absent — which is a different fact from a sequence of length zero, and is why the field is null rather than an empty list.

Site symmetry. 816 of 816 vertex rows carry one, attributed to computed:mofpp.site_symmetry-v1 (spglib-2.7.0, rcsr-archive-key). 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 Fd-3m, setting 2, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the rcsr-archive-key. 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 6 m——
1 6 m——
2 6 m——
3 6 m——
4 6 m——
5 6 m——
6 6 m——
7 6 m——
8 6 m——
9 6 m——
10 6 m——
11 6 m——
12 6 m——
13 6 m——
14 6 m——
15 6 m——
16 6 m——
17 6 m——
18 6 m——
19 6 m——
20 6 m——
21 6 m——
22 6 m——
23 6 m——
24 6 m——
25 6 m——
26 6 m——
27 6 m——
28 6 m——
29 6 m——
30 6 m——
31 6 m——
32 6 m——
33 6 m——
34 6 m——
35 6 m——
36 6 m——
37 6 m——
38 6 m——
39 6 m——
40 6 m——
41 6 m——
42 6 m——
43 6 m——
44 6 m——
45 6 m——
46 6 m——
47 6 m——
48 6 m——
49 6 m——
50 6 m——
51 6 m——
52 6 m——
53 6 m——
54 6 m——
55 6 m——
56 6 m——
57 6 m——
58 6 m——
59 6 m——
60 6 m——
61 6 m——
62 6 m——
63 6 m——
64 6 m——
65 6 m——
66 6 m——
67 6 m——
68 6 m——
69 6 m——
70 6 m——
71 6 m——
72 6 m——
73 6 m——
74 6 m——
75 6 m——
76 6 m——
77 6 m——
78 6 m——
79 6 m——
80 6 m——
81 6 m——
82 6 m——
83 6 m——
84 6 m——
85 6 m——
86 6 m——
87 6 m——
88 6 m——
89 6 m——
90 6 m——
91 6 m——
92 6 m——
93 6 m——
94 6 m——
95 6 m——
96 6 1——
97 6 1——
98 6 1——
99 6 1——
100 6 1——
101 6 1——
102 6 1——
103 6 1——
104 6 1——
105 6 1——
106 6 1——
107 6 1——
108 6 1——
109 6 1——
110 6 1——
111 6 1——
112 6 1——
113 6 1——
114 6 1——
115 6 1——
116 6 1——
117 6 1——
118 6 1——
119 6 1——
120 6 1——
121 6 1——
122 6 1——
123 6 1——
124 6 1——
125 6 1——
126 6 1——
127 6 1——
128 6 1——
129 6 1——
130 6 1——
131 6 1——
132 6 1——
133 6 1——
134 6 1——
135 6 1——
136 6 1——
137 6 1——
138 6 1——
139 6 1——
140 6 1——
141 6 1——
142 6 1——
143 6 1——
144 6 1——
145 6 1——
146 6 1——
147 6 1——
148 6 1——
149 6 1——
150 6 1——
151 6 1——
152 6 1——
153 6 1——
154 6 1——
155 6 1——
156 6 1——
157 6 1——
158 6 1——
159 6 1——
160 6 1——
161 6 1——
162 6 1——
163 6 1——
164 6 1——
165 6 1——
166 6 1——
167 6 1——
168 6 1——
169 6 1——
170 6 1——
171 6 1——
172 6 1——
173 6 1——
174 6 1——
175 6 1——
176 6 1——
177 6 1——
178 6 1——
179 6 1——
180 6 1——
181 6 1——
182 6 1——
183 6 1——
184 6 1——
185 6 1——
186 6 1——
187 6 1——
188 6 1——
189 6 1——
190 6 1——
191 6 1——
192 6 1——
193 6 1——
194 6 1——
195 6 1——
196 6 1——
197 6 1——
198 6 1——
199 6 1——
200 6 1——
201 6 1——
202 6 1——
203 6 1——
204 6 1——
205 6 1——
206 6 1——
207 6 1——
208 6 1——
209 6 1——
210 6 1——
211 6 1——
212 6 1——
213 6 1——
214 6 1——
215 6 1——
216 6 1——
217 6 1——
218 6 1——
219 6 1——
220 6 1——
221 6 1——
222 6 1——
223 6 1——
224 6 1——
225 6 1——
226 6 1——
227 6 1——
228 6 1——
229 6 1——
230 6 1——
231 6 1——
232 6 1——
233 6 1——
234 6 1——
235 6 1——
236 6 1——
237 6 1——
238 6 1——
239 6 1——
240 6 1——
241 6 1——
242 6 1——
243 6 1——
244 6 1——
245 6 1——
246 6 1——
247 6 1——
248 6 1——
249 6 1——
250 6 1——
251 6 1——
252 6 1——
253 6 1——
254 6 1——
255 6 1——
256 6 1——
257 6 1——
258 6 1——
259 6 1——
260 6 1——
261 6 1——
262 6 1——
263 6 1——
264 6 1——
265 6 1——
266 6 1——
267 6 1——
268 6 1——
269 6 1——
270 6 1——
271 6 1——
272 6 1——
273 6 1——
274 6 1——
275 6 1——
276 6 1——
277 6 1——
278 6 1——
279 6 1——
280 6 1——
281 6 1——
282 6 1——
283 6 1——
284 6 1——
285 6 1——
286 6 1——
287 6 1——
288 6 1——
289 6 1——
290 6 1——
291 6 1——
292 6 1——
293 6 1——
294 6 1——
295 6 1——
296 6 1——
297 6 1——
298 6 1——
299 6 1——
300 6 1——
301 6 1——
302 6 1——
303 6 1——
304 6 1——
305 6 1——
306 6 1——
307 6 1——
308 6 1——
309 6 1——
310 6 1——
311 6 1——
312 6 1——
313 6 1——
314 6 1——
315 6 1——
316 6 1——
317 6 1——
318 6 1——
319 6 1——
320 6 1——
321 6 1——
322 6 1——
323 6 1——
324 6 1——
325 6 1——
326 6 1——
327 6 1——
328 6 1——
329 6 1——
330 6 1——
331 6 1——
332 6 1——
333 6 1——
334 6 1——
335 6 1——
336 6 1——
337 6 1——
338 6 1——
339 6 1——
340 6 1——
341 6 1——
342 6 1——
343 6 1——
344 6 1——
345 6 1——
346 6 1——
347 6 1——
348 6 1——
349 6 1——
350 6 1——
351 6 1——
352 6 1——
353 6 1——
354 6 1——
355 6 1——
356 6 1——
357 6 1——
358 6 1——
359 6 1——
360 6 1——
361 6 1——
362 6 1——
363 6 1——
364 6 1——
365 6 1——
366 6 1——
367 6 1——
368 6 1——
369 6 1——
370 6 1——
371 6 1——
372 6 1——
373 6 1——
374 6 1——
375 6 1——
376 6 1——
377 6 1——
378 6 1——
379 6 1——
380 6 1——
381 6 1——
382 6 1——
383 6 1——
384 6 1——
385 6 1——
386 6 1——
387 6 1——
388 6 1——
389 6 1——
390 6 1——
391 6 1——
392 6 1——
393 6 1——
394 6 1——
395 6 1——
396 6 1——
397 6 1——
398 6 1——
399 6 1——
400 6 1——
401 6 1——
402 6 1——
403 6 1——
404 6 1——
405 6 1——
406 6 1——
407 6 1——
408 6 1——
409 6 1——
410 6 1——
411 6 1——
412 6 1——
413 6 1——
414 6 1——
415 6 1——
416 6 1——
417 6 1——
418 6 1——
419 6 1——
420 6 1——
421 6 1——
422 6 1——
423 6 1——
424 6 1——
425 6 1——
426 6 1——
427 6 1——
428 6 1——
429 6 1——
430 6 1——
431 6 1——
432 6 1——
433 6 1——
434 6 1——
435 6 1——
436 6 1——
437 6 1——
438 6 1——
439 6 1——
440 6 1——
441 6 1——
442 6 1——
443 6 1——
444 6 1——
445 6 1——
446 6 1——
447 6 1——
448 6 1——
449 6 1——
450 6 1——
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453 6 1——
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455 6 1——
456 6 1——
457 6 1——
458 6 1——
459 6 1——
460 6 1——
461 6 1——
462 6 1——
463 6 1——
464 6 1——
465 6 1——
466 6 1——
467 6 1——
468 6 1——
469 6 1——
470 6 1——
471 6 1——
472 6 1——
473 6 1——
474 6 1——
475 6 1——
476 6 1——
477 6 1——
478 6 1——
479 6 1——
480 6 2——
481 6 2——
482 6 2——
483 6 2——
484 6 2——
485 6 2——
486 6 2——
487 6 2——
488 6 2——
489 6 2——
490 6 2——
491 6 2——
492 6 2——
493 6 2——
494 6 2——
495 6 2——
496 6 2——
497 6 2——
498 6 2——
499 6 2——
500 6 2——
501 6 2——
502 6 2——
503 6 2——
504 6 2——
505 6 2——
506 6 2——
507 6 2——
508 6 2——
509 6 2——
510 6 2——
511 6 2——
512 6 2——
513 6 2——
514 6 2——
515 6 2——
516 6 2——
517 6 2——
518 6 2——
519 6 2——
520 6 2——
521 6 2——
522 6 2——
523 6 2——
524 6 2——
525 6 2——
526 6 2——
527 6 2——
528 6 2——
529 6 2——
530 6 2——
531 6 2——
532 6 2——
533 6 2——
534 6 2——
535 6 2——
536 6 2——
537 6 2——
538 6 2——
539 6 2——
540 6 2——
541 6 2——
542 6 2——
543 6 2——
544 6 2——
545 6 2——
546 6 2——
547 6 2——
548 6 2——
549 6 2——
550 6 2——
551 6 2——
552 6 2——
553 6 2——
554 6 2——
555 6 2——
556 6 2——
557 6 2——
558 6 2——
559 6 2——
560 6 2——
561 6 2——
562 6 2——
563 6 2——
564 6 2——
565 6 2——
566 6 2——
567 6 2——
568 6 2——
569 6 2——
570 6 2——
571 6 2——
572 6 2——
573 6 2——
574 6 2——
575 6 2——
576 6 m——
577 6 m——
578 6 m——
579 6 m——
580 6 m——
581 6 m——
582 6 m——
583 6 m——
584 6 m——
585 6 m——
586 6 m——
587 6 m——
588 6 m——
589 6 m——
590 6 m——
591 6 m——
592 6 m——
593 6 m——
594 6 m——
595 6 m——
596 6 m——
597 6 m——
598 6 m——
599 6 m——
600 6 m——
601 6 m——
602 6 m——
603 6 m——
604 6 m——
605 6 m——
606 6 m——
607 6 m——
608 6 m——
609 6 m——
610 6 m——
611 6 m——
612 6 m——
613 6 m——
614 6 m——
615 6 m——
616 6 m——
617 6 m——
618 6 m——
619 6 m——
620 6 m——
621 6 m——
622 6 m——
623 6 m——
624 6 m——
625 6 m——
626 6 m——
627 6 m——
628 6 m——
629 6 m——
630 6 m——
631 6 m——
632 6 m——
633 6 m——
634 6 m——
635 6 m——
636 6 m——
637 6 m——
638 6 m——
639 6 m——
640 6 m——
641 6 m——
642 6 m——
643 6 m——
644 6 m——
645 6 m——
646 6 m——
647 6 m——
648 6 m——
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650 6 m——
651 6 m——
652 6 m——
653 6 m——
654 6 m——
655 6 m——
656 6 m——
657 6 m——
658 6 m——
659 6 m——
660 6 m——
661 6 m——
662 6 m——
663 6 m——
664 6 m——
665 6 m——
666 6 m——
667 6 m——
668 6 m——
669 6 m——
670 6 m——
671 6 m——
672 6 mm2——
673 6 mm2——
674 6 mm2——
675 6 mm2——
676 6 mm2——
677 6 mm2——
678 6 mm2——
679 6 mm2——
680 6 mm2——
681 6 mm2——
682 6 mm2——
683 6 mm2——
684 6 mm2——
685 6 mm2——
686 6 mm2——
687 6 mm2——
688 6 mm2——
689 6 mm2——
690 6 mm2——
691 6 mm2——
692 6 mm2——
693 6 mm2——
694 6 mm2——
695 6 mm2——
696 6 mm2——
697 6 mm2——
698 6 mm2——
699 6 mm2——
700 6 mm2——
701 6 mm2——
702 6 mm2——
703 6 mm2——
704 6 mm2——
705 6 mm2——
706 6 mm2——
707 6 mm2——
708 6 mm2——
709 6 mm2——
710 6 mm2——
711 6 mm2——
712 6 mm2——
713 6 mm2——
714 6 mm2——
715 6 mm2——
716 6 mm2——
717 6 mm2——
718 6 mm2——
719 6 mm2——
720 6 m——
721 6 m——
722 6 m——
723 6 m——
724 6 m——
725 6 m——
726 6 m——
727 6 m——
728 6 m——
729 6 m——
730 6 m——
731 6 m——
732 6 m——
733 6 m——
734 6 m——
735 6 m——
736 6 m——
737 6 m——
738 6 m——
739 6 m——
740 6 m——
741 6 m——
742 6 m——
743 6 m——
744 6 m——
745 6 m——
746 6 m——
747 6 m——
748 6 m——
749 6 m——
750 6 m——
751 6 m——
752 6 m——
753 6 m——
754 6 m——
755 6 m——
756 6 m——
757 6 m——
758 6 m——
759 6 m——
760 6 m——
761 6 m——
762 6 m——
763 6 m——
764 6 m——
765 6 m——
766 6 m——
767 6 m——
768 6 m——
769 6 m——
770 6 m——
771 6 m——
772 6 m——
773 6 m——
774 6 m——
775 6 m——
776 6 m——
777 6 m——
778 6 m——
779 6 m——
780 6 m——
781 6 m——
782 6 m——
783 6 m——
784 6 m——
785 6 m——
786 6 m——
787 6 m——
788 6 m——
789 6 m——
790 6 m——
791 6 m——
792 6 m——
793 6 m——
794 6 m——
795 6 m——
796 6 m——
797 6 m——
798 6 m——
799 6 m——
800 6 m——
801 6 m——
802 6 m——
803 6 m——
804 6 m——
805 6 m——
806 6 m——
807 6 m——
808 6 m——
809 6 m——
810 6 m——
811 6 m——
812 6 m——
813 6 m——
814 6 m——
815 6 m——

Computed topology

Computed here from the quotient graph of the net itself, not transcribed from either source: periodicity, symmetry, invariants and rings, on the RCSR archive key, the canonical key the archive states, by mofpp.embedding 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--fullUnitCell wrapper:2 embedding:1, 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 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 RCSR archive key, the canonical key the archive states

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 (rcsr-archive-key)
Fd-3m (No. 227) (second origin choice)
Transitivity p, q (rcsr-archive-key)
7, 18 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 (rcsr-archive-key)
48
Repeat-unit factor (rcsr-archive-key)
1
RCSR identification (rcsr-archive-key)
num
Computed Systre key (rcsr-archive-key)
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 1 6 0 0 0 1 7 0 0 0 2 3 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 2 11 0 0 0 3 12 0 0 0 3 13 0 0 0 3 14 0 0 0 3 15 0 0 0 4 5 0 0 0 4 10 0 0 0 4 16 0 0 0 4 17 0 0 0 4 18 0 0 0 5 14 0 0 0 5 19 0 0 0 5 20 0 0 0 5 21 0 0 0 6 7 0 0 0 6 18 0 0 0 6 22 0 0 0 6 23 0 0 0 6 24 0 0 0 7 21 0 0 0 7 25 0 0 0 7 26 0 0 0 7 27 0 0 0 8 11 0 0 0 8 28 0 0 0 8 29 0 0 0 8 30 0 0 0 8 31 0 0 0 9 10 0 0 0 9 13 0 0 0 9 28 0 0 0 9 32 0 0 0 9 33 0 0 0 10 16 0 0 0 10 34 0 0 0 10 35 0 0 0 11 22 0 0 0 11 35 0 0 0 11 36 0 0 0 11 37 0 0 0 12 15 0 0 0 12 29 0 0 0 12 38 0 0 0 12 39 0 0 0 12 40 0 0 0 13 14 0 0 0 13 33 0 0 0 13 38 0 0 0 13 41 0 0 0 14 19 0 0 0 14 42 0 0 0 14 43 0 0 0 15 25 0 0 0 15 43 0 0 0 15 44 0 0 0 15 45 0 0 0 16 19 0 0 0 16 33 0 0 0 16 46 0 0 0 16 47 0 0 0 17 18 0 0 0 17 20 0 0 0 17 48 0 0 0 17 49 0 0 0 17 50 0 0 0 18 23 0 0 0 18 51 0 0 0 18 52 0 0 0 19 33 0 0 0 19 53 0 0 0 19 54 0 0 0 20 21 0 0 0 20 50 0 0 0 20 55 0 0 0 20 56 0 0 0 21 26 0 0 0 21 57 0 0 0 21 58 0 0 0 22 24 0 0 0 22 37 0 0 0 22 51 0 0 0 22 59 0 0 0 23 26 0 0 0 23 50 0 0 0 23 60 0 0 0 23 61 0 0 0 24 61 0 0 0 24 62 0 0 0 24 63 0 0 0 24 64 0 0 0 25 27 0 0 0 25 45 0 0 0 25 57 0 0 0 25 65 0 0 0 26 50 0 0 0 26 66 0 0 0 26 67 0 0 0 27 67 0 0 0 27 68 0 0 0 27 69 0 0 0 27 70 0 0 0 28 31 0 0 0 28 32 0 0 0 28 71 0 0 0 28 72 0 0 0 29 30 0 0 0 29 39 0 0 0 29 72 0 0 0 29 73 0 0 0 30 74 0 0 0 30 75 0 0 0 30 76 0 0 0 30 77 0 0 0 31 36 0 0 0 31 75 0 0 0 31 78 0 0 0 31 79 0 0 0 32 34 0 0 0 32 79 0 0 0 32 80 0 0 0 32 81 0 0 0 33 82 0 0 0 33 83 0 0 0 34 35 0 0 0 34 79 0 0 0 34 84 0 0 0 34 85 0 0 0 35 36 0 0 0 35 51 0 0 0 35 86 0 0 0 36 79 0 0 0 36 87 0 0 0 36 88 0 0 0 37 88 0 0 0 37 89 0 0 0 37 90 0 0 0 37 91 0 0 0 38 40 0 0 0 38 41 0 0 0 38 72 0 0 0 38 92 0 0 0 39 93 0 0 0 39 94 0 0 0 39 95 0 0 0 39 96 0 0 0 40 44 0 0 0 40 94 0 0 0 40 97 0 0 0 40 98 0 0 0 41 42 0 0 0 41 98 0 0 0 41 99 0 0 0 41 100 0 0 0 42 43 0 0 0 42 98 0 0 0 42 101 0 0 0 42 102 0 0 0 43 44 0 0 0 43 57 0 0 0 43 103 0 0 0 44 98 0 0 0 44 104 0 0 0 44 105 0 0 0 45 105 0 0 0 45 106 0 0 0 45 107 0 0 0 45 108 0 0 0 46 47 0 0 0 46 82 0 0 0 46 84 0 0 0 46 109 0 0 0 46 110 0 0 0 47 48 0 0 0 47 54 0 0 0 47 111 0 0 0 47 112 0 0 0 48 49 0 0 0 48 55 0 0 0 48 112 0 0 0 48 113 0 0 0 49 114 0 0 0 49 115 0 0 0 49 116 0 0 0 49 117 0 0 0 50 117 0 0 0 50 118 0 0 0 51 52 0 0 0 51 59 0 0 0 51 86 0 0 0 52 60 0 0 0 52 115 0 0 0 52 119 0 0 0 52 120 0 0 0 53 54 0 0 0 53 83 0 0 0 53 101 0 0 0 53 121 0 0 0 53 122 0 0 0 54 55 0 0 0 54 111 0 0 0 54 123 0 0 0 55 56 0 0 0 55 113 0 0 0 55 123 0 0 0 56 118 0 0 0 56 124 0 0 0 56 125 0 0 0 56 126 0 0 0 57 58 0 0 0 57 65 0 0 0 57 103 0 0 0 58 66 0 0 0 58 125 0 0 0 58 127 0 0 0 58 128 0 0 0 59 63 0 0 0 59 90 0 0 0 59 120 0 0 0 59 129 0 0 0 60 61 0 0 0 60 97 1 0 0 60 120 0 0 0 60 130 0 0 0 61 63 0 0 0 61 131 0 0 0 61 132 0 0 0 62 64 0 0 0 62 91 0 0 0 62 122 0 1 0 62 133 0 0 0 62 134 0 0 0 63 120 0 0 0 63 134 0 0 0 63 135 0 0 0 64 70 0 0 0 64 131 0 0 0 64 136 0 0 0 64 137 0 0 0 65 69 0 0 0 65 107 0 0 0 65 128 0 0 0 65 138 0 0 0 66 67 0 0 0 66 78 0 0 1 66 128 0 0 0 66 139 0 0 0 67 69 0 0 0 67 140 0 0 0 67 141 0 0 0 68 70 0 0 0 68 108 0 0 0 68 110 -1 1 1 68 142 0 0 0 68 143 0 0 0 69 128 0 0 0 69 143 0 0 0 69 144 0 0 0 70 136 0 0 0 70 140 0 0 0 70 145 0 0 0 71 72 0 0 0 71 78 0 0 0 71 146 0 0 0 71 147 0 0 0 71 148 0 0 0 72 73 0 0 0 72 92 0 0 0 73 74 0 0 0 73 93 0 0 0 73 148 0 0 0 73 149 0 0 0 74 75 0 0 0 74 144 0 0 -1 74 148 0 0 0 74 150 0 0 0 75 78 0 0 0 75 141 0 0 -1 75 151 0 0 0 76 77 0 0 0 76 95 0 0 0 76 112 -1 1 0 76 113 -1 1 0 76 150 0 0 0 77 89 0 0 0 77 151 0 0 0 77 152 0 0 0 77 153 0 0 0 78 139 0 0 -1 78 148 0 0 0 79 154 0 0 0 79 155 0 0 0 80 81 0 0 0 80 147 0 0 0 80 154 0 0 0 80 156 0 0 0 80 157 0 0 0 81 82 0 0 0 81 84 0 0 0 81 142 1 -1 -1 81 158 0 0 0 82 83 0 0 0 82 109 0 0 0 82 158 0 0 0 83 100 0 0 0 83 121 0 0 0 83 159 0 0 0 84 85 0 0 0 84 110 0 0 0 84 142 1 -1 -1 85 155 0 0 0 85 160 0 0 0 85 161 0 0 0 85 162 0 0 0 86 87 0 0 0 86 129 0 0 0 86 162 0 0 0 86 163 0 0 0 87 88 0 0 0 87 104 1 0 -1 87 129 0 0 0 87 164 0 0 0 88 90 0 0 0 88 165 0 0 0 88 166 0 0 0 89 91 0 0 0 89 153 0 0 0 89 165 0 0 0 89 167 0 0 0 90 129 0 0 0 90 168 0 0 0 90 169 0 0 0 91 133 0 0 0 91 159 0 1 0 91 169 0 0 0 92 97 0 0 0 92 149 0 0 0 92 170 0 0 0 92 171 0 0 0 93 94 0 0 0 93 135 -1 0 0 93 149 0 0 0 93 172 0 0 0 94 97 0 0 0 94 132 -1 0 0 94 173 0 0 0 95 96 0 0 0 95 113 -1 1 0 95 123 -1 1 0 95 172 0 0 0 96 106 0 0 0 96 173 0 0 0 96 174 0 0 0 96 175 0 0 0 97 130 -1 0 0 97 149 0 0 0 98 176 0 0 0 98 177 0 0 0 99 100 0 0 0 99 171 0 0 0 99 176 0 0 0 99 178 0 0 0 99 179 0 0 0 100 101 0 0 0 100 133 0 -1 0 100 159 0 0 0 101 102 0 0 0 101 122 0 0 0 101 133 0 -1 0 102 177 0 0 0 102 180 0 0 0 102 181 0 0 0 102 182 0 0 0 103 104 0 0 0 103 138 0 0 0 103 182 0 0 0 103 183 0 0 0 104 105 0 0 0 104 138 0 0 0 104 164 -1 0 1 105 107 0 0 0 105 166 -1 0 1 105 184 0 0 0 106 108 0 0 0 106 175 0 0 0 106 184 0 0 0 106 185 0 0 0 107 138 0 0 0 107 168 -1 0 1 107 186 0 0 0 108 142 0 0 0 108 158 -1 1 1 108 186 0 0 0 109 111 0 0 0 109 121 0 0 0 109 143 1 -1 -1 109 186 1 -1 -1 110 143 1 -1 -1 110 145 1 -1 -1 110 187 0 0 0 111 121 0 0 0 111 150 1 -1 0 111 172 1 -1 0 112 150 1 -1 0 112 152 1 -1 0 112 187 0 0 0 113 116 0 0 0 113 126 0 0 0 114 115 0 0 0 114 152 1 -1 0 114 153 1 -1 0 114 178 1 0 0 114 188 0 0 0 115 119 0 0 0 115 130 0 0 0 115 171 1 0 0 116 117 0 0 0 116 126 0 0 0 116 153 1 -1 0 116 179 1 0 0 117 118 0 0 0 117 130 0 0 0 117 176 1 0 0 118 126 0 0 0 118 139 0 0 0 118 154 0 0 1 119 163 0 0 0 119 170 1 0 0 119 189 0 0 0 119 190 0 0 0 120 149 1 0 0 120 190 0 0 0 121 134 0 -1 0 121 169 0 -1 0 122 134 0 -1 0 122 137 0 -1 0 122 191 0 0 0 123 172 1 -1 0 123 174 1 -1 0 123 191 0 0 0 124 125 0 0 0 124 156 0 0 1 124 174 1 -1 0 124 175 1 -1 0 124 192 0 0 0 125 127 0 0 0 125 139 0 0 0 125 147 0 0 1 126 157 0 0 1 126 175 1 -1 0 127 146 0 0 1 127 183 0 0 0 127 193 0 0 0 127 194 0 0 0 128 148 0 0 1 128 194 0 0 0 129 138 1 0 -1 129 195 0 0 0 130 171 1 0 0 130 176 1 0 0 131 132 0 0 0 131 137 0 0 0 131 140 0 0 0 131 196 0 0 0 132 135 0 0 0 132 173 1 0 0 132 191 0 1 0 133 179 0 1 0 133 180 0 1 0 134 135 0 0 0 134 169 0 0 0 135 172 1 0 0 135 191 0 1 0 136 160 -1 1 1 136 161 -1 1 1 136 180 0 1 0 136 181 0 1 0 137 181 0 1 0 137 191 0 1 0 137 197 0 0 0 138 195 -1 0 1 139 147 0 0 1 139 154 0 0 1 140 141 0 0 0 140 145 0 0 0 140 196 0 0 0 141 144 0 0 0 141 151 0 0 1 141 187 -1 1 1 142 157 -1 1 1 142 160 -1 1 1 143 144 0 0 0 143 186 0 0 0 144 150 0 0 1 144 187 -1 1 1 145 161 -1 1 1 145 187 -1 1 1 145 198 0 0 0 146 147 0 0 0 146 170 0 0 0 146 194 0 0 -1 146 199 0 0 0 147 156 0 0 0 148 194 0 0 -1 149 190 -1 0 0 150 172 0 0 0 151 152 0 0 0 151 165 0 0 0 151 200 0 0 0 152 187 -1 1 0 152 188 -1 1 0 153 178 0 1 0 153 179 0 1 0 154 155 0 0 0 154 157 0 0 0 155 160 0 0 0 155 164 0 0 0 155 177 1 0 -1 156 175 1 -1 -1 156 185 1 -1 -1 156 201 0 0 0 157 160 0 0 0 157 175 1 -1 -1 158 185 1 -1 -1 158 186 1 -1 -1 158 202 0 0 0 159 167 0 -1 0 159 169 0 -1 0 159 202 0 0 0 160 180 1 0 -1 161 162 0 0 0 161 181 1 0 -1 161 198 1 -1 -1 162 163 0 0 0 162 164 0 0 0 162 182 1 0 -1 163 183 1 0 -1 163 189 0 0 0 163 195 0 0 0 164 177 1 0 -1 164 182 1 0 -1 165 166 0 0 0 165 167 0 0 0 165 200 0 0 0 166 168 0 0 0 166 184 1 0 -1 166 202 0 1 0 167 178 0 1 0 167 202 0 1 0 167 203 0 0 0 168 169 0 0 0 168 186 1 0 -1 168 202 0 1 0 170 171 0 0 0 170 190 -1 0 0 170 199 0 0 0 171 178 0 0 0 173 174 0 0 0 173 184 0 0 0 173 204 0 0 0 174 191 -1 1 0 174 192 -1 1 0 176 177 0 0 0 176 179 0 0 0 177 180 0 0 0 178 203 0 -1 0 179 180 0 0 0 181 182 0 0 0 181 197 0 -1 0 182 183 0 0 0 183 193 0 0 0 183 195 -1 0 1 184 185 0 0 0 184 204 0 0 0 185 201 -1 1 1 185 202 -1 1 1 188 189 0 0 0 188 198 1 -1 -1 188 200 1 -1 0 188 203 1 -1 0 189 193 1 0 -1 189 198 1 -1 -1 189 199 1 0 0 190 194 1 0 -1 190 195 0 0 0 192 193 0 0 0 192 197 0 -1 0 192 201 0 0 1 192 204 1 -1 0 193 197 0 -1 0 193 199 0 0 1 194 195 -1 0 1 196 197 0 0 0 196 198 0 0 0 196 200 0 0 1 196 204 1 0 0 197 198 0 0 0 199 201 0 0 0 199 203 0 -1 0 200 203 0 0 0 200 204 1 0 -1 201 203 0 -1 0 201 204 1 -1 -1
Key against the archive (rcsr-archive-key)
the same key, character for character
TD10 as Systre prints it (rcsr-archive-key)
2067
Computed by (symmetry, rcsr-archive-key)
systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2 — ok

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

TD10, exact (rcsr-archive-key)
2066.8823529411766
Genus (rcsr-archive-key)
409
Shells walked (rcsr-archive-key)
10
Computed by (invariants, rcsr-archive-key)
mofpp.invariants 2 — ok

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

Net point symbol (rcsr-archive-key)
(3^3.4^4.5^5.6^3)4(3^3.4^4.5^6.6^2)13
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, 59, 61, 65, 67, 75, 77, 86, 90, 94, 96, 103, 107, 112, 129, 132, 138, 141, 163, 195, 199, 2033.3.3.4.4.4.4.5.5.5(2).5(2).5(2).5(2).6(2).6(2) 3.3.3.4.4.4.4.5.5.6.6.6.6.12.12 3^3.4^4.5^6.6^2 6 20 43 79 132 188 261 355 443 551
3, 4, 8, 9, 12, 13, 47, 51, 54, 57, 70, 80, 83, 85, 91, 99, 100, 102, 109, 111, 114, 119, 121, 122, 124, 127, 128, 133, 137, 142, 146, 147, 148, 149, 157, 158, 161, 168, 170, 171, 181, 185, 187, 191, 196, 197, 200, 2023.3.3.4.4.4.4.5.5.5(2).5(2).5(2).5(2).6(2).6(2) 3.3.3.4.4.4.4.5.5.6.6.6.6.10.10 3^3.4^4.5^6.6^2 6 20 42 75 124 178 257 350 433 558
5, 6, 7, 10, 11, 14, 22, 23, 25, 26, 29, 30, 35, 36, 38, 39, 43, 44, 60, 63, 66, 69, 74, 76, 87, 88, 93, 95, 104, 105, 115, 116, 117, 125, 130, 139, 150, 153, 154, 156, 159, 164, 172, 175, 176, 178, 179, 1833.3.3.4.4.4.4.5.5(2).5(2).5(2).5(2).6.6.6(2) 3.3.3.4.4.4.4.5.6.6.6.6.6.12.12 3^3.4^4.5^5.6^3 6 20 44 82 135 194 267 351 440 568
15, 18, 32, 45, 46, 52, 53, 81, 82, 108, 110, 118, 120, 126, 145, 162, 169, 182, 188, 189, 192, 193, 194, 1983.3.3.4.4.4.4.5.5.5(2).5(2).5(2).5(2).6(2).6(2) 3.3.3.4.4.4.4.5.5.6.6.6.6.10.10 3^3.4^4.5^6.6^2 6 20 42 74 119 172 249 351 447 552
16, 19, 31, 33, 40, 41, 50, 56, 58, 64, 71, 72, 113, 123, 134, 143, 155, 160, 167, 177, 180, 186, 190, 2013.3.3.4.4.4.4.5.5.5(2).5(2).5(2).5(2).6(2).6(2) 3.3.3.4.4.4.4.5.5.6.6.6.6.10.10 3^3.4^4.5^6.6^2 6 20 42 76 125 181 263 341 442 547
17, 20, 27, 34, 37, 42, 48, 55, 62, 68, 73, 79, 84, 89, 92, 98, 101, 106, 136, 144, 151, 166, 173, 1843.3.3.4.4.4.4.5.5.5(2).5(2).5(2).5(2).6(2).6(2) 3.3.3.4.4.4.4.5.5.6.6.6.6.10.10 3^3.4^4.5^6.6^2 6 20 42 78 128 184 260 348 434 562
21, 24, 28, 49, 78, 97, 131, 135, 140, 152, 165, 1743.3.3.4.4.4.4.5.5.5(2).5(2).5(2).5(2).6(2).6(2) 3.3.3.4.4.4.4.5.5.6.6.6.6.12.12 3^3.4^4.5^6.6^2 6 20 44 80 134 195 264 355 440 552

Cross-checks

Name against the computed key
single-source

Provenance

Source
rcsr
Identifier at the source
num
Retrieved
not recorded
Licence
© 2019 RCSR.net — verified from © 2019 RCSR.net. Redistributed by MOF++ under a private agreement with the rights holder. This permits redistribution by MOF++; it grants the reader no onward licence. Confirmed by the repository owner, 2026-09-09..
Published
yes

Position in the collection

RCSR index
1476 (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
2864 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.