MOF++

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Net topology

kgk

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

JSON · mfpx

448 vertices and 672 edges in the unit cell. 144 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
F432 (No. 209)
Cell lengths
a = 11.8054 Å, b = 11.8054 Å, c = 11.8054 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
448
Transitivity pqrs
6, 8, *, *
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 2 5 0 0 0 2 6 0 0 0 3 7 0 0 0 3 8 0 0 0 4 9 0 0 0 4 10 0 0 0 5 11 0 0 0 5 12 0 0 0 6 13 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 8 17 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 10 21 0 0 0 10 22 0 0 0 11 15 0 0 0 11 23 0 0 0 12 24 0 0 0 12 25 0 0 0 13 26 0 0 0 13 27 0 0 0 14 19 0 0 0 14 28 0 0 0 15 29 0 0 0 16 30 0 0 0 16 31 0 0 0 17 27 0 0 0 17 32 0 0 0 18 22 0 0 0 18 33 0 0 0 19 34 0 0 0 20 35 0 0 0 20 36 0 0 0 21 37 0 0 0 21 38 0 0 0 22 39 0 0 0 23 40 0 0 0 23 41 0 0 0 24 42 0 0 0 24 43 0 0 0 25 26 0 0 0 25 44 0 0 0 26 45 0 0 0 27 46 0 0 0 28 47 0 0 0 28 48 0 0 0 29 49 0 0 0 29 50 0 0 0 30 51 0 0 0 30 52 0 0 0 31 32 0 0 0 31 53 0 0 0 32 54 0 0 0 33 55 0 0 0 33 56 0 0 0 34 57 0 0 0 34 58 0 0 0 35 59 0 0 0 35 60 0 0 0 36 37 0 0 0 36 61 0 0 0 37 62 0 0 0 38 63 0 0 0 38 64 0 0 0 39 65 0 0 0 39 66 0 0 0 40 67 0 0 0 40 68 0 0 0 41 43 0 0 0 41 64 1 0 0 42 56 1 0 0 42 66 1 0 0 43 69 0 0 0 44 70 0 0 0 44 71 0 0 0 45 54 0 0 0 45 62 0 1 0 46 48 0 0 0 46 55 0 0 0 47 72 0 0 0 47 73 0 0 0 48 74 0 0 0 49 68 0 0 0 49 74 0 0 1 50 51 0 0 0 50 75 0 0 0 51 76 0 0 0 52 72 -1 1 1 52 77 0 0 0 53 57 -1 1 1 53 78 0 0 0 54 79 0 0 0 55 80 0 0 0 56 81 0 0 0 57 72 0 0 0 58 60 0 0 0 58 82 0 0 0 59 83 0 0 0 59 84 0 0 0 60 71 0 -1 0 61 79 0 -1 0 61 85 0 0 0 62 86 0 0 0 63 87 0 0 0 63 88 0 0 0 64 65 0 0 0 65 89 0 0 0 66 70 -1 0 0 67 89 1 0 0 67 90 0 0 0 68 80 0 0 1 69 88 1 0 0 69 91 0 0 0 70 83 0 1 0 71 86 0 1 0 73 92 0 0 0 73 93 0 0 0 74 94 0 0 0 75 95 0 0 0 75 96 0 0 0 76 81 0 0 1 76 97 0 0 0 77 98 0 0 0 77 99 0 0 0 78 100 0 0 0 78 101 0 0 0 79 100 0 0 0 80 97 0 0 -1 81 91 -1 0 0 82 101 1 -1 -1 82 102 0 0 0 83 103 0 0 0 84 85 0 0 0 84 104 0 0 0 85 92 -1 0 1 86 87 0 0 0 87 102 0 0 0 88 105 0 0 0 89 103 -1 1 0 90 98 0 0 0 90 106 0 0 0 91 96 1 0 -1 92 99 1 -1 -1 93 94 0 0 0 93 100 1 -1 -1 94 95 0 0 -1 95 107 0 0 0 96 108 0 0 0 97 98 0 0 0 99 109 0 0 0 101 107 -1 1 0 102 110 0 0 0 103 111 0 0 0 104 105 0 0 1 104 108 0 0 0 105 109 0 -1 -1 106 110 0 1 1 106 112 0 0 0 107 112 0 -1 0 108 111 0 0 0 109 110 0 1 1 111 112 0 -1 0
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01 — and corroborated here rather than carried on the word of the archive alone. Systre 19.6.0 was run on the MOF+ deposit, the graph of the uploaded topology file and computed the same key, character for character, so two independent statements of the canonical form of this net agree. The computed key is served under topology.symmetry with the graph it was computed from and the version that computed it. The checksum beside this key is still the one the archive carries, copied from the same block and neither computed nor verified here.
Checksum
a061798b9ff1951e63e8c7c3e7c10022 (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: 448 of 448 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. 448 of 448 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 F432, 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 3 17.7.73 6 12 18 29 39 54 75 101 124
1 3 17.7.73 6 12 18 29 39 54 75 101 124
2 3 17.7.73 6 12 18 29 39 54 75 101 124
3 3 17.7.73 6 12 18 29 39 54 75 101 124
4 3 17.7.73 6 12 18 29 39 54 75 101 124
5 3 17.7.73 6 12 18 29 39 54 75 101 124
6 3 17.7.73 6 12 18 29 39 54 75 101 124
7 3 17.7.73 6 12 18 29 39 54 75 101 124
8 3 17.7.73 6 12 18 29 39 54 75 101 124
9 3 17.7.73 6 12 18 29 39 54 75 101 124
10 3 17.7.73 6 12 18 29 39 54 75 101 124
11 3 17.7.73 6 12 18 29 39 54 75 101 124
12 3 17.7.73 6 12 18 29 39 54 75 101 124
13 3 17.7.73 6 12 18 29 39 54 75 101 124
14 3 17.7.73 6 12 18 29 39 54 75 101 124
15 3 17.7.73 6 12 18 29 39 54 75 101 124
16 3 17.7.73 6 12 18 29 39 54 75 101 124
17 3 17.7.73 6 12 18 29 39 54 75 101 124
18 3 17.7.73 6 12 18 29 39 54 75 101 124
19 3 17.7.73 6 12 18 29 39 54 75 101 124
20 3 17.7.73 6 12 18 29 39 54 75 101 124
21 3 17.7.73 6 12 18 29 39 54 75 101 124
22 3 17.7.73 6 12 18 29 39 54 75 101 124
23 3 17.7.73 6 12 18 29 39 54 75 101 124
24 3 17.7.73 6 12 18 29 39 54 75 101 124
25 3 17.7.73 6 12 18 29 39 54 75 101 124
26 3 17.7.73 6 12 18 29 39 54 75 101 124
27 3 17.7.73 6 12 18 29 39 54 75 101 124
28 3 17.7.73 6 12 18 29 39 54 75 101 124
29 3 17.7.73 6 12 18 29 39 54 75 101 124
30 3 17.7.73 6 12 18 29 39 54 75 101 124
31 3 17.7.73 6 12 18 29 39 54 75 101 124
32 3 17.7.73 6 12 18 29 39 54 75 101 124
33 3 17.7.73 6 12 18 29 39 54 75 101 124
34 3 17.7.73 6 12 18 29 39 54 75 101 124
35 3 17.7.73 6 12 18 29 39 54 75 101 124
36 3 17.7.73 6 12 18 29 39 54 75 101 124
37 3 17.7.73 6 12 18 29 39 54 75 101 124
38 3 17.7.73 6 12 18 29 39 54 75 101 124
39 3 17.7.73 6 12 18 29 39 54 75 101 124
40 3 17.7.73 6 12 18 29 39 54 75 101 124
41 3 17.7.73 6 12 18 29 39 54 75 101 124
42 3 17.7.73 6 12 18 29 39 54 75 101 124
43 3 17.7.73 6 12 18 29 39 54 75 101 124
44 3 17.7.73 6 12 18 29 39 54 75 101 124
45 3 17.7.73 6 12 18 29 39 54 75 101 124
46 3 17.7.73 6 12 18 29 39 54 75 101 124
47 3 17.7.73 6 12 18 29 39 54 75 101 124
48 3 17.7.73 6 12 18 29 39 54 75 101 124
49 3 17.7.73 6 12 18 29 39 54 75 101 124
50 3 17.7.73 6 12 18 29 39 54 75 101 124
51 3 17.7.73 6 12 18 29 39 54 75 101 124
52 3 17.7.73 6 12 18 29 39 54 75 101 124
53 3 17.7.73 6 12 18 29 39 54 75 101 124
54 3 17.7.73 6 12 18 29 39 54 75 101 124
55 3 17.7.73 6 12 18 29 39 54 75 101 124
56 3 17.7.73 6 12 18 29 39 54 75 101 124
57 3 17.7.73 6 12 18 29 39 54 75 101 124
58 3 17.7.73 6 12 18 29 39 54 75 101 124
59 3 17.7.73 6 12 18 29 39 54 75 101 124
60 3 17.7.73 6 12 18 29 39 54 75 101 124
61 3 17.7.73 6 12 18 29 39 54 75 101 124
62 3 17.7.73 6 12 18 29 39 54 75 101 124
63 3 17.7.73 6 12 18 29 39 54 75 101 124
64 3 17.7.73 6 12 18 29 39 54 75 101 124
65 3 17.7.73 6 12 18 29 39 54 75 101 124
66 3 17.7.73 6 12 18 29 39 54 75 101 124
67 3 17.7.73 6 12 18 29 39 54 75 101 124
68 3 17.7.73 6 12 18 29 39 54 75 101 124
69 3 17.7.73 6 12 18 29 39 54 75 101 124
70 3 17.7.73 6 12 18 29 39 54 75 101 124
71 3 17.7.73 6 12 18 29 39 54 75 101 124
72 3 17.7.73 6 12 18 29 39 54 75 101 124
73 3 17.7.73 6 12 18 29 39 54 75 101 124
74 3 17.7.73 6 12 18 29 39 54 75 101 124
75 3 17.7.73 6 12 18 29 39 54 75 101 124
76 3 17.7.73 6 12 18 29 39 54 75 101 124
77 3 17.7.73 6 12 18 29 39 54 75 101 124
78 3 17.7.73 6 12 18 29 39 54 75 101 124
79 3 17.7.73 6 12 18 29 39 54 75 101 124
80 3 17.7.73 6 12 18 29 39 54 75 101 124
81 3 17.7.73 6 12 18 29 39 54 75 101 124
82 3 17.7.73 6 12 18 29 39 54 75 101 124
83 3 17.7.73 6 12 18 29 39 54 75 101 124
84 3 17.7.73 6 12 18 29 39 54 75 101 124
85 3 17.7.73 6 12 18 29 39 54 75 101 124
86 3 17.7.73 6 12 18 29 39 54 75 101 124
87 3 17.7.73 6 12 18 29 39 54 75 101 124
88 3 17.7.73 6 12 18 29 39 54 75 101 124
89 3 17.7.73 6 12 18 29 39 54 75 101 124
90 3 17.7.73 6 12 18 29 39 54 75 101 124
91 3 17.7.73 6 12 18 29 39 54 75 101 124
92 3 17.7.73 6 12 18 29 39 54 75 101 124
93 3 17.7.73 6 12 18 29 39 54 75 101 124
94 3 17.7.73 6 12 18 29 39 54 75 101 124
95 3 17.7.73 6 12 18 29 39 54 75 101 124
96 3 37.7.73 6 12 18 30 36 51 78 106 126
97 3 37.7.73 6 12 18 30 36 51 78 106 126
98 3 37.7.73 6 12 18 30 36 51 78 106 126
99 3 37.7.73 6 12 18 30 36 51 78 106 126
100 3 37.7.73 6 12 18 30 36 51 78 106 126
101 3 37.7.73 6 12 18 30 36 51 78 106 126
102 3 37.7.73 6 12 18 30 36 51 78 106 126
103 3 37.7.73 6 12 18 30 36 51 78 106 126
104 3 37.7.73 6 12 18 30 36 51 78 106 126
105 3 37.7.73 6 12 18 30 36 51 78 106 126
106 3 37.7.73 6 12 18 30 36 51 78 106 126
107 3 37.7.73 6 12 18 30 36 51 78 106 126
108 3 37.7.73 6 12 18 30 36 51 78 106 126
109 3 37.7.73 6 12 18 30 36 51 78 106 126
110 3 37.7.73 6 12 18 30 36 51 78 106 126
111 3 37.7.73 6 12 18 30 36 51 78 106 126
112 3 37.7.73 6 12 18 30 36 51 78 106 126
113 3 37.7.73 6 12 18 30 36 51 78 106 126
114 3 37.7.73 6 12 18 30 36 51 78 106 126
115 3 37.7.73 6 12 18 30 36 51 78 106 126
116 3 37.7.73 6 12 18 30 36 51 78 106 126
117 3 37.7.73 6 12 18 30 36 51 78 106 126
118 3 37.7.73 6 12 18 30 36 51 78 106 126
119 3 37.7.73 6 12 18 30 36 51 78 106 126
120 3 37.7.73 6 12 18 30 36 51 78 106 126
121 3 37.7.73 6 12 18 30 36 51 78 106 126
122 3 37.7.73 6 12 18 30 36 51 78 106 126
123 3 37.7.73 6 12 18 30 36 51 78 106 126
124 3 37.7.73 6 12 18 30 36 51 78 106 126
125 3 37.7.73 6 12 18 30 36 51 78 106 126
126 3 37.7.73 6 12 18 30 36 51 78 106 126
127 3 37.7.73 6 12 18 30 36 51 78 106 126
128 3 17.7.73 6 12 17 27 37 57 70 90 118
129 3 17.7.73 6 12 17 27 37 57 70 90 118
130 3 17.7.73 6 12 17 27 37 57 70 90 118
131 3 17.7.73 6 12 17 27 37 57 70 90 118
132 3 17.7.73 6 12 17 27 37 57 70 90 118
133 3 17.7.73 6 12 17 27 37 57 70 90 118
134 3 17.7.73 6 12 17 27 37 57 70 90 118
135 3 17.7.73 6 12 17 27 37 57 70 90 118
136 3 17.7.73 6 12 17 27 37 57 70 90 118
137 3 17.7.73 6 12 17 27 37 57 70 90 118
138 3 17.7.73 6 12 17 27 37 57 70 90 118
139 3 17.7.73 6 12 17 27 37 57 70 90 118
140 3 17.7.73 6 12 17 27 37 57 70 90 118
141 3 17.7.73 6 12 17 27 37 57 70 90 118
142 3 17.7.73 6 12 17 27 37 57 70 90 118
143 3 17.7.73 6 12 17 27 37 57 70 90 118
144 3 17.7.73 6 12 17 27 37 57 70 90 118
145 3 17.7.73 6 12 17 27 37 57 70 90 118
146 3 17.7.73 6 12 17 27 37 57 70 90 118
147 3 17.7.73 6 12 17 27 37 57 70 90 118
148 3 17.7.73 6 12 17 27 37 57 70 90 118
149 3 17.7.73 6 12 17 27 37 57 70 90 118
150 3 17.7.73 6 12 17 27 37 57 70 90 118
151 3 17.7.73 6 12 17 27 37 57 70 90 118
152 3 17.7.73 6 12 17 27 37 57 70 90 118
153 3 17.7.73 6 12 17 27 37 57 70 90 118
154 3 17.7.73 6 12 17 27 37 57 70 90 118
155 3 17.7.73 6 12 17 27 37 57 70 90 118
156 3 17.7.73 6 12 17 27 37 57 70 90 118
157 3 17.7.73 6 12 17 27 37 57 70 90 118
158 3 17.7.73 6 12 17 27 37 57 70 90 118
159 3 17.7.73 6 12 17 27 37 57 70 90 118
160 3 17.7.73 6 12 17 27 37 57 70 90 118
161 3 17.7.73 6 12 17 27 37 57 70 90 118
162 3 17.7.73 6 12 17 27 37 57 70 90 118
163 3 17.7.73 6 12 17 27 37 57 70 90 118
164 3 17.7.73 6 12 17 27 37 57 70 90 118
165 3 17.7.73 6 12 17 27 37 57 70 90 118
166 3 17.7.73 6 12 17 27 37 57 70 90 118
167 3 17.7.73 6 12 17 27 37 57 70 90 118
168 3 17.7.73 6 12 17 27 37 57 70 90 118
169 3 17.7.73 6 12 17 27 37 57 70 90 118
170 3 17.7.73 6 12 17 27 37 57 70 90 118
171 3 17.7.73 6 12 17 27 37 57 70 90 118
172 3 17.7.73 6 12 17 27 37 57 70 90 118
173 3 17.7.73 6 12 17 27 37 57 70 90 118
174 3 17.7.73 6 12 17 27 37 57 70 90 118
175 3 17.7.73 6 12 17 27 37 57 70 90 118
176 3 17.7.73 6 12 17 27 37 57 70 90 118
177 3 17.7.73 6 12 17 27 37 57 70 90 118
178 3 17.7.73 6 12 17 27 37 57 70 90 118
179 3 17.7.73 6 12 17 27 37 57 70 90 118
180 3 17.7.73 6 12 17 27 37 57 70 90 118
181 3 17.7.73 6 12 17 27 37 57 70 90 118
182 3 17.7.73 6 12 17 27 37 57 70 90 118
183 3 17.7.73 6 12 17 27 37 57 70 90 118
184 3 17.7.73 6 12 17 27 37 57 70 90 118
185 3 17.7.73 6 12 17 27 37 57 70 90 118
186 3 17.7.73 6 12 17 27 37 57 70 90 118
187 3 17.7.73 6 12 17 27 37 57 70 90 118
188 3 17.7.73 6 12 17 27 37 57 70 90 118
189 3 17.7.73 6 12 17 27 37 57 70 90 118
190 3 17.7.73 6 12 17 27 37 57 70 90 118
191 3 17.7.73 6 12 17 27 37 57 70 90 118
192 3 17.7.73 6 12 17 27 37 57 70 90 118
193 3 17.7.73 6 12 17 27 37 57 70 90 118
194 3 17.7.73 6 12 17 27 37 57 70 90 118
195 3 17.7.73 6 12 17 27 37 57 70 90 118
196 3 17.7.73 6 12 17 27 37 57 70 90 118
197 3 17.7.73 6 12 17 27 37 57 70 90 118
198 3 17.7.73 6 12 17 27 37 57 70 90 118
199 3 17.7.73 6 12 17 27 37 57 70 90 118
200 3 17.7.73 6 12 17 27 37 57 70 90 118
201 3 17.7.73 6 12 17 27 37 57 70 90 118
202 3 17.7.73 6 12 17 27 37 57 70 90 118
203 3 17.7.73 6 12 17 27 37 57 70 90 118
204 3 17.7.73 6 12 17 27 37 57 70 90 118
205 3 17.7.73 6 12 17 27 37 57 70 90 118
206 3 17.7.73 6 12 17 27 37 57 70 90 118
207 3 17.7.73 6 12 17 27 37 57 70 90 118
208 3 17.7.73 6 12 17 27 37 57 70 90 118
209 3 17.7.73 6 12 17 27 37 57 70 90 118
210 3 17.7.73 6 12 17 27 37 57 70 90 118
211 3 17.7.73 6 12 17 27 37 57 70 90 118
212 3 17.7.73 6 12 17 27 37 57 70 90 118
213 3 17.7.73 6 12 17 27 37 57 70 90 118
214 3 17.7.73 6 12 17 27 37 57 70 90 118
215 3 17.7.73 6 12 17 27 37 57 70 90 118
216 3 17.7.73 6 12 17 27 37 57 70 90 118
217 3 17.7.73 6 12 17 27 37 57 70 90 118
218 3 17.7.73 6 12 17 27 37 57 70 90 118
219 3 17.7.73 6 12 17 27 37 57 70 90 118
220 3 17.7.73 6 12 17 27 37 57 70 90 118
221 3 17.7.73 6 12 17 27 37 57 70 90 118
222 3 17.7.73 6 12 17 27 37 57 70 90 118
223 3 17.7.73 6 12 17 27 37 57 70 90 118
224 3 37.7.73 6 12 18 30 36 51 78 97 120
225 3 37.7.73 6 12 18 30 36 51 78 97 120
226 3 37.7.73 6 12 18 30 36 51 78 97 120
227 3 37.7.73 6 12 18 30 36 51 78 97 120
228 3 37.7.73 6 12 18 30 36 51 78 97 120
229 3 37.7.73 6 12 18 30 36 51 78 97 120
230 3 37.7.73 6 12 18 30 36 51 78 97 120
231 3 37.7.73 6 12 18 30 36 51 78 97 120
232 3 37.7.73 6 12 18 30 36 51 78 97 120
233 3 37.7.73 6 12 18 30 36 51 78 97 120
234 3 37.7.73 6 12 18 30 36 51 78 97 120
235 3 37.7.73 6 12 18 30 36 51 78 97 120
236 3 37.7.73 6 12 18 30 36 51 78 97 120
237 3 37.7.73 6 12 18 30 36 51 78 97 120
238 3 37.7.73 6 12 18 30 36 51 78 97 120
239 3 37.7.73 6 12 18 30 36 51 78 97 120
240 3 37.7.73 6 12 18 30 36 51 78 97 120
241 3 37.7.73 6 12 18 30 36 51 78 97 120
242 3 37.7.73 6 12 18 30 36 51 78 97 120
243 3 37.7.73 6 12 18 30 36 51 78 97 120
244 3 37.7.73 6 12 18 30 36 51 78 97 120
245 3 37.7.73 6 12 18 30 36 51 78 97 120
246 3 37.7.73 6 12 18 30 36 51 78 97 120
247 3 37.7.73 6 12 18 30 36 51 78 97 120
248 3 37.7.73 6 12 18 30 36 51 78 97 120
249 3 37.7.73 6 12 18 30 36 51 78 97 120
250 3 37.7.73 6 12 18 30 36 51 78 97 120
251 3 37.7.73 6 12 18 30 36 51 78 97 120
252 3 37.7.73 6 12 18 30 36 51 78 97 120
253 3 37.7.73 6 12 18 30 36 51 78 97 120
254 3 37.7.73 6 12 18 30 36 51 78 97 120
255 3 37.7.73 6 12 18 30 36 51 78 97 120
256 3 17.7.73 6 12 17 27 37 57 70 88 120
257 3 17.7.73 6 12 17 27 37 57 70 88 120
258 3 17.7.73 6 12 17 27 37 57 70 88 120
259 3 17.7.73 6 12 17 27 37 57 70 88 120
260 3 17.7.73 6 12 17 27 37 57 70 88 120
261 3 17.7.73 6 12 17 27 37 57 70 88 120
262 3 17.7.73 6 12 17 27 37 57 70 88 120
263 3 17.7.73 6 12 17 27 37 57 70 88 120
264 3 17.7.73 6 12 17 27 37 57 70 88 120
265 3 17.7.73 6 12 17 27 37 57 70 88 120
266 3 17.7.73 6 12 17 27 37 57 70 88 120
267 3 17.7.73 6 12 17 27 37 57 70 88 120
268 3 17.7.73 6 12 17 27 37 57 70 88 120
269 3 17.7.73 6 12 17 27 37 57 70 88 120
270 3 17.7.73 6 12 17 27 37 57 70 88 120
271 3 17.7.73 6 12 17 27 37 57 70 88 120
272 3 17.7.73 6 12 17 27 37 57 70 88 120
273 3 17.7.73 6 12 17 27 37 57 70 88 120
274 3 17.7.73 6 12 17 27 37 57 70 88 120
275 3 17.7.73 6 12 17 27 37 57 70 88 120
276 3 17.7.73 6 12 17 27 37 57 70 88 120
277 3 17.7.73 6 12 17 27 37 57 70 88 120
278 3 17.7.73 6 12 17 27 37 57 70 88 120
279 3 17.7.73 6 12 17 27 37 57 70 88 120
280 3 17.7.73 6 12 17 27 37 57 70 88 120
281 3 17.7.73 6 12 17 27 37 57 70 88 120
282 3 17.7.73 6 12 17 27 37 57 70 88 120
283 3 17.7.73 6 12 17 27 37 57 70 88 120
284 3 17.7.73 6 12 17 27 37 57 70 88 120
285 3 17.7.73 6 12 17 27 37 57 70 88 120
286 3 17.7.73 6 12 17 27 37 57 70 88 120
287 3 17.7.73 6 12 17 27 37 57 70 88 120
288 3 17.7.73 6 12 17 27 37 57 70 88 120
289 3 17.7.73 6 12 17 27 37 57 70 88 120
290 3 17.7.73 6 12 17 27 37 57 70 88 120
291 3 17.7.73 6 12 17 27 37 57 70 88 120
292 3 17.7.73 6 12 17 27 37 57 70 88 120
293 3 17.7.73 6 12 17 27 37 57 70 88 120
294 3 17.7.73 6 12 17 27 37 57 70 88 120
295 3 17.7.73 6 12 17 27 37 57 70 88 120
296 3 17.7.73 6 12 17 27 37 57 70 88 120
297 3 17.7.73 6 12 17 27 37 57 70 88 120
298 3 17.7.73 6 12 17 27 37 57 70 88 120
299 3 17.7.73 6 12 17 27 37 57 70 88 120
300 3 17.7.73 6 12 17 27 37 57 70 88 120
301 3 17.7.73 6 12 17 27 37 57 70 88 120
302 3 17.7.73 6 12 17 27 37 57 70 88 120
303 3 17.7.73 6 12 17 27 37 57 70 88 120
304 3 17.7.73 6 12 17 27 37 57 70 88 120
305 3 17.7.73 6 12 17 27 37 57 70 88 120
306 3 17.7.73 6 12 17 27 37 57 70 88 120
307 3 17.7.73 6 12 17 27 37 57 70 88 120
308 3 17.7.73 6 12 17 27 37 57 70 88 120
309 3 17.7.73 6 12 17 27 37 57 70 88 120
310 3 17.7.73 6 12 17 27 37 57 70 88 120
311 3 17.7.73 6 12 17 27 37 57 70 88 120
312 3 17.7.73 6 12 17 27 37 57 70 88 120
313 3 17.7.73 6 12 17 27 37 57 70 88 120
314 3 17.7.73 6 12 17 27 37 57 70 88 120
315 3 17.7.73 6 12 17 27 37 57 70 88 120
316 3 17.7.73 6 12 17 27 37 57 70 88 120
317 3 17.7.73 6 12 17 27 37 57 70 88 120
318 3 17.7.73 6 12 17 27 37 57 70 88 120
319 3 17.7.73 6 12 17 27 37 57 70 88 120
320 3 17.7.73 6 12 17 27 37 57 70 88 120
321 3 17.7.73 6 12 17 27 37 57 70 88 120
322 3 17.7.73 6 12 17 27 37 57 70 88 120
323 3 17.7.73 6 12 17 27 37 57 70 88 120
324 3 17.7.73 6 12 17 27 37 57 70 88 120
325 3 17.7.73 6 12 17 27 37 57 70 88 120
326 3 17.7.73 6 12 17 27 37 57 70 88 120
327 3 17.7.73 6 12 17 27 37 57 70 88 120
328 3 17.7.73 6 12 17 27 37 57 70 88 120
329 3 17.7.73 6 12 17 27 37 57 70 88 120
330 3 17.7.73 6 12 17 27 37 57 70 88 120
331 3 17.7.73 6 12 17 27 37 57 70 88 120
332 3 17.7.73 6 12 17 27 37 57 70 88 120
333 3 17.7.73 6 12 17 27 37 57 70 88 120
334 3 17.7.73 6 12 17 27 37 57 70 88 120
335 3 17.7.73 6 12 17 27 37 57 70 88 120
336 3 17.7.73 6 12 17 27 37 57 70 88 120
337 3 17.7.73 6 12 17 27 37 57 70 88 120
338 3 17.7.73 6 12 17 27 37 57 70 88 120
339 3 17.7.73 6 12 17 27 37 57 70 88 120
340 3 17.7.73 6 12 17 27 37 57 70 88 120
341 3 17.7.73 6 12 17 27 37 57 70 88 120
342 3 17.7.73 6 12 17 27 37 57 70 88 120
343 3 17.7.73 6 12 17 27 37 57 70 88 120
344 3 17.7.73 6 12 17 27 37 57 70 88 120
345 3 17.7.73 6 12 17 27 37 57 70 88 120
346 3 17.7.73 6 12 17 27 37 57 70 88 120
347 3 17.7.73 6 12 17 27 37 57 70 88 120
348 3 17.7.73 6 12 17 27 37 57 70 88 120
349 3 17.7.73 6 12 17 27 37 57 70 88 120
350 3 17.7.73 6 12 17 27 37 57 70 88 120
351 3 17.7.73 6 12 17 27 37 57 70 88 120
352 3 17.7.73 6 12 18 29 39 54 75 98 118
353 3 17.7.73 6 12 18 29 39 54 75 98 118
354 3 17.7.73 6 12 18 29 39 54 75 98 118
355 3 17.7.73 6 12 18 29 39 54 75 98 118
356 3 17.7.73 6 12 18 29 39 54 75 98 118
357 3 17.7.73 6 12 18 29 39 54 75 98 118
358 3 17.7.73 6 12 18 29 39 54 75 98 118
359 3 17.7.73 6 12 18 29 39 54 75 98 118
360 3 17.7.73 6 12 18 29 39 54 75 98 118
361 3 17.7.73 6 12 18 29 39 54 75 98 118
362 3 17.7.73 6 12 18 29 39 54 75 98 118
363 3 17.7.73 6 12 18 29 39 54 75 98 118
364 3 17.7.73 6 12 18 29 39 54 75 98 118
365 3 17.7.73 6 12 18 29 39 54 75 98 118
366 3 17.7.73 6 12 18 29 39 54 75 98 118
367 3 17.7.73 6 12 18 29 39 54 75 98 118
368 3 17.7.73 6 12 18 29 39 54 75 98 118
369 3 17.7.73 6 12 18 29 39 54 75 98 118
370 3 17.7.73 6 12 18 29 39 54 75 98 118
371 3 17.7.73 6 12 18 29 39 54 75 98 118
372 3 17.7.73 6 12 18 29 39 54 75 98 118
373 3 17.7.73 6 12 18 29 39 54 75 98 118
374 3 17.7.73 6 12 18 29 39 54 75 98 118
375 3 17.7.73 6 12 18 29 39 54 75 98 118
376 3 17.7.73 6 12 18 29 39 54 75 98 118
377 3 17.7.73 6 12 18 29 39 54 75 98 118
378 3 17.7.73 6 12 18 29 39 54 75 98 118
379 3 17.7.73 6 12 18 29 39 54 75 98 118
380 3 17.7.73 6 12 18 29 39 54 75 98 118
381 3 17.7.73 6 12 18 29 39 54 75 98 118
382 3 17.7.73 6 12 18 29 39 54 75 98 118
383 3 17.7.73 6 12 18 29 39 54 75 98 118
384 3 17.7.73 6 12 18 29 39 54 75 98 118
385 3 17.7.73 6 12 18 29 39 54 75 98 118
386 3 17.7.73 6 12 18 29 39 54 75 98 118
387 3 17.7.73 6 12 18 29 39 54 75 98 118
388 3 17.7.73 6 12 18 29 39 54 75 98 118
389 3 17.7.73 6 12 18 29 39 54 75 98 118
390 3 17.7.73 6 12 18 29 39 54 75 98 118
391 3 17.7.73 6 12 18 29 39 54 75 98 118
392 3 17.7.73 6 12 18 29 39 54 75 98 118
393 3 17.7.73 6 12 18 29 39 54 75 98 118
394 3 17.7.73 6 12 18 29 39 54 75 98 118
395 3 17.7.73 6 12 18 29 39 54 75 98 118
396 3 17.7.73 6 12 18 29 39 54 75 98 118
397 3 17.7.73 6 12 18 29 39 54 75 98 118
398 3 17.7.73 6 12 18 29 39 54 75 98 118
399 3 17.7.73 6 12 18 29 39 54 75 98 118
400 3 17.7.73 6 12 18 29 39 54 75 98 118
401 3 17.7.73 6 12 18 29 39 54 75 98 118
402 3 17.7.73 6 12 18 29 39 54 75 98 118
403 3 17.7.73 6 12 18 29 39 54 75 98 118
404 3 17.7.73 6 12 18 29 39 54 75 98 118
405 3 17.7.73 6 12 18 29 39 54 75 98 118
406 3 17.7.73 6 12 18 29 39 54 75 98 118
407 3 17.7.73 6 12 18 29 39 54 75 98 118
408 3 17.7.73 6 12 18 29 39 54 75 98 118
409 3 17.7.73 6 12 18 29 39 54 75 98 118
410 3 17.7.73 6 12 18 29 39 54 75 98 118
411 3 17.7.73 6 12 18 29 39 54 75 98 118
412 3 17.7.73 6 12 18 29 39 54 75 98 118
413 3 17.7.73 6 12 18 29 39 54 75 98 118
414 3 17.7.73 6 12 18 29 39 54 75 98 118
415 3 17.7.73 6 12 18 29 39 54 75 98 118
416 3 17.7.73 6 12 18 29 39 54 75 98 118
417 3 17.7.73 6 12 18 29 39 54 75 98 118
418 3 17.7.73 6 12 18 29 39 54 75 98 118
419 3 17.7.73 6 12 18 29 39 54 75 98 118
420 3 17.7.73 6 12 18 29 39 54 75 98 118
421 3 17.7.73 6 12 18 29 39 54 75 98 118
422 3 17.7.73 6 12 18 29 39 54 75 98 118
423 3 17.7.73 6 12 18 29 39 54 75 98 118
424 3 17.7.73 6 12 18 29 39 54 75 98 118
425 3 17.7.73 6 12 18 29 39 54 75 98 118
426 3 17.7.73 6 12 18 29 39 54 75 98 118
427 3 17.7.73 6 12 18 29 39 54 75 98 118
428 3 17.7.73 6 12 18 29 39 54 75 98 118
429 3 17.7.73 6 12 18 29 39 54 75 98 118
430 3 17.7.73 6 12 18 29 39 54 75 98 118
431 3 17.7.73 6 12 18 29 39 54 75 98 118
432 3 17.7.73 6 12 18 29 39 54 75 98 118
433 3 17.7.73 6 12 18 29 39 54 75 98 118
434 3 17.7.73 6 12 18 29 39 54 75 98 118
435 3 17.7.73 6 12 18 29 39 54 75 98 118
436 3 17.7.73 6 12 18 29 39 54 75 98 118
437 3 17.7.73 6 12 18 29 39 54 75 98 118
438 3 17.7.73 6 12 18 29 39 54 75 98 118
439 3 17.7.73 6 12 18 29 39 54 75 98 118
440 3 17.7.73 6 12 18 29 39 54 75 98 118
441 3 17.7.73 6 12 18 29 39 54 75 98 118
442 3 17.7.73 6 12 18 29 39 54 75 98 118
443 3 17.7.73 6 12 18 29 39 54 75 98 118
444 3 17.7.73 6 12 18 29 39 54 75 98 118
445 3 17.7.73 6 12 18 29 39 54 75 98 118
446 3 17.7.73 6 12 18 29 39 54 75 98 118
447 3 17.7.73 6 12 18 29 39 54 75 98 118

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)
F432 (No. 209)
Transitivity p, q (mofplus-deposit)
6, 8 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)
4
RCSR identification (mofplus-deposit)
kgk
Computed Systre key (mofplus-deposit)
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 2 5 0 0 0 2 6 0 0 0 3 7 0 0 0 3 8 0 0 0 4 9 0 0 0 4 10 0 0 0 5 11 0 0 0 5 12 0 0 0 6 13 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 8 17 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 10 21 0 0 0 10 22 0 0 0 11 15 0 0 0 11 23 0 0 0 12 24 0 0 0 12 25 0 0 0 13 26 0 0 0 13 27 0 0 0 14 19 0 0 0 14 28 0 0 0 15 29 0 0 0 16 30 0 0 0 16 31 0 0 0 17 27 0 0 0 17 32 0 0 0 18 22 0 0 0 18 33 0 0 0 19 34 0 0 0 20 35 0 0 0 20 36 0 0 0 21 37 0 0 0 21 38 0 0 0 22 39 0 0 0 23 40 0 0 0 23 41 0 0 0 24 42 0 0 0 24 43 0 0 0 25 26 0 0 0 25 44 0 0 0 26 45 0 0 0 27 46 0 0 0 28 47 0 0 0 28 48 0 0 0 29 49 0 0 0 29 50 0 0 0 30 51 0 0 0 30 52 0 0 0 31 32 0 0 0 31 53 0 0 0 32 54 0 0 0 33 55 0 0 0 33 56 0 0 0 34 57 0 0 0 34 58 0 0 0 35 59 0 0 0 35 60 0 0 0 36 37 0 0 0 36 61 0 0 0 37 62 0 0 0 38 63 0 0 0 38 64 0 0 0 39 65 0 0 0 39 66 0 0 0 40 67 0 0 0 40 68 0 0 0 41 43 0 0 0 41 64 1 0 0 42 56 1 0 0 42 66 1 0 0 43 69 0 0 0 44 70 0 0 0 44 71 0 0 0 45 54 0 0 0 45 62 0 1 0 46 48 0 0 0 46 55 0 0 0 47 72 0 0 0 47 73 0 0 0 48 74 0 0 0 49 68 0 0 0 49 74 0 0 1 50 51 0 0 0 50 75 0 0 0 51 76 0 0 0 52 72 -1 1 1 52 77 0 0 0 53 57 -1 1 1 53 78 0 0 0 54 79 0 0 0 55 80 0 0 0 56 81 0 0 0 57 72 0 0 0 58 60 0 0 0 58 82 0 0 0 59 83 0 0 0 59 84 0 0 0 60 71 0 -1 0 61 79 0 -1 0 61 85 0 0 0 62 86 0 0 0 63 87 0 0 0 63 88 0 0 0 64 65 0 0 0 65 89 0 0 0 66 70 -1 0 0 67 89 1 0 0 67 90 0 0 0 68 80 0 0 1 69 88 1 0 0 69 91 0 0 0 70 83 0 1 0 71 86 0 1 0 73 92 0 0 0 73 93 0 0 0 74 94 0 0 0 75 95 0 0 0 75 96 0 0 0 76 81 0 0 1 76 97 0 0 0 77 98 0 0 0 77 99 0 0 0 78 100 0 0 0 78 101 0 0 0 79 100 0 0 0 80 97 0 0 -1 81 91 -1 0 0 82 101 1 -1 -1 82 102 0 0 0 83 103 0 0 0 84 85 0 0 0 84 104 0 0 0 85 92 -1 0 1 86 87 0 0 0 87 102 0 0 0 88 105 0 0 0 89 103 -1 1 0 90 98 0 0 0 90 106 0 0 0 91 96 1 0 -1 92 99 1 -1 -1 93 94 0 0 0 93 100 1 -1 -1 94 95 0 0 -1 95 107 0 0 0 96 108 0 0 0 97 98 0 0 0 99 109 0 0 0 101 107 -1 1 0 102 110 0 0 0 103 111 0 0 0 104 105 0 0 1 104 108 0 0 0 105 109 0 -1 -1 106 110 0 1 1 106 112 0 0 0 107 112 0 -1 0 108 111 0 0 0 109 110 0 1 1 111 112 0 -1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
449
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)
449.42857142857144
Genus (mofplus-deposit)
57
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)
449.42857142857144
Genus (rcsr-archive-key)
57
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)
(7^3)
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, 957.7.7 7.7.7 7^3 3 6 12 18 29 39 54 75 101 124
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, 1277.7.7 7.7.7 7^3 3 6 12 18 30 36 51 78 106 126
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, 191, 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, 2237.7.7 7.7.7 7^3 3 6 12 17 27 37 57 70 90 118
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, 2557.7.7 7.7.7 7^3 3 6 12 18 30 36 51 78 97 120
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, 287, 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, 3517.7.7 7.7.7 7^3 3 6 12 17 27 37 57 70 88 120
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, 383, 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, 4477.7.7 7.7.7 7^3 3 6 12 18 29 39 54 75 98 118

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

Net point symbol (rcsr-archive-key)
(7^3)
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, 5, 7, 19, 26, 36, 38, 41, 42, 46, 48, 49, 56, 59, 63, 75, 77, 79, 85, 92, 104, 107, 109, 1117.7.7 7.7.7 7^3 3 6 12 17 27 37 57 70 90 118
1, 2, 12, 16, 23, 28, 34, 35, 40, 50, 52, 61, 64, 65, 67, 70, 71, 72, 96, 99, 103, 105, 108, 1107.7.7 7.7.7 7^3 3 6 12 17 27 37 57 70 88 120
3, 8, 13, 17, 20, 21, 27, 33, 37, 45, 54, 55, 57, 68, 73, 74, 80, 86, 87, 93, 95, 100, 101, 1067.7.7 7.7.7 7^3 3 6 12 18 29 39 54 75 101 124
4, 6, 11, 14, 22, 25, 29, 30, 31, 39, 43, 44, 51, 58, 60, 69, 78, 83, 88, 89, 91, 97, 98, 1027.7.7 7.7.7 7^3 3 6 12 18 29 39 54 75 98 118
9, 18, 32, 47, 62, 81, 90, 947.7.7 7.7.7 7^3 3 6 12 18 30 36 51 78 106 126
10, 15, 24, 53, 66, 76, 82, 847.7.7 7.7.7 7^3 3 6 12 18 30 36 51 78 97 120

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 448 of 448 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 448 of 448 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
kgk
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
1117 (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
2413 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.