MOF++

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Net topology

fvg

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

JSON · mfpx

192 vertices and 384 edges in the unit cell. 66 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
Fd-3m (No. 227)
Cell lengths
a = 6.8286 Å, b = 6.8286 Å, c = 6.8286 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
Transitivity pqrs
2, 5, *, *
Catenated
no
No, computed from the graph of the net itself rather than read off its name: mofpp.periodicity v1 finds a single copy, so it is not interpenetrated on the MOF+ deposit, the graph of the uploaded topology file. Interpenetration is counted here as the number of separate copies of the net that share one repeat unit, so this is a measurement of the topology and not a marker in a string.

Canonical key

Systre key
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 2 3 0 0 0 2 6 0 0 0 2 7 0 0 0 3 8 0 0 0 3 9 0 0 0 4 10 0 0 0 4 11 0 0 0 4 12 0 0 0 5 12 0 0 0 5 13 0 0 0 5 14 0 0 0 6 15 0 0 0 6 16 0 0 0 6 17 0 0 0 7 15 0 0 0 7 18 0 0 0 7 19 0 0 0 8 20 0 0 0 8 21 0 0 0 8 22 0 0 0 9 22 0 0 0 9 23 0 0 0 9 24 0 0 0 10 11 0 0 0 10 16 0 0 0 10 25 0 0 0 11 21 0 0 0 11 26 0 0 0 12 27 0 0 0 12 28 0 0 0 13 18 0 0 0 13 29 0 0 0 13 30 0 0 0 14 24 0 0 0 14 31 0 0 0 14 32 0 0 0 15 28 1 0 0 15 33 0 0 0 16 17 0 0 0 16 32 0 1 0 17 20 0 0 0 17 34 0 0 0 18 35 0 0 0 18 36 0 0 0 19 23 0 0 0 19 25 1 -1 0 19 37 0 0 0 20 21 0 0 0 20 36 0 0 1 21 30 0 0 1 22 27 1 -1 1 22 33 0 -1 1 23 26 1 -1 0 23 38 0 0 0 24 34 0 -1 0 24 39 0 0 0 25 32 0 1 0 25 40 0 0 0 26 30 0 0 1 26 41 0 0 0 27 40 0 0 0 27 42 0 0 0 28 41 0 0 0 28 43 0 0 0 29 35 0 0 0 29 38 -1 1 -1 29 42 0 0 0 30 44 0 0 0 31 37 -1 0 0 31 39 0 0 0 31 43 0 0 0 32 44 0 0 0 33 44 0 1 0 33 45 0 0 0 34 36 0 0 1 34 41 1 0 0 35 39 0 1 -1 35 45 0 0 0 36 40 1 -1 0 37 38 0 0 0 37 43 1 0 0 38 42 1 -1 1 39 45 0 -1 1 40 46 0 0 0 41 47 0 0 0 42 46 0 0 0 43 47 0 0 0 44 48 0 0 0 45 48 0 1 0 46 47 0 1 -1 46 48 0 1 0 47 48 0 0 1
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01 — and corroborated here rather than carried on the word of the archive alone. Systre 19.6.0 was run on the MOF+ deposit, the graph of the uploaded topology file and computed the same key, character for character, so two independent statements of the canonical form of this net agree. The computed key is served under topology.symmetry with the graph it was computed from and the version that computed it. The checksum beside this key is still the one the archive carries, copied from the same block and neither computed nor verified here.
Checksum
1d6520058965415b504721ec07c6983f (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: 192 of 192 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. 192 of 192 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 Fd-3m, setting 2, 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 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
1 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
2 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
3 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
4 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
5 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
6 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
7 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
8 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
9 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
10 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
11 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
12 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
13 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
14 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
15 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
16 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
17 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
18 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
19 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
20 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
21 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
22 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
23 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
24 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
25 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
26 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
27 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
28 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
29 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
30 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
31 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
32 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
33 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
34 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
35 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
36 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
37 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
38 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
39 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
40 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
41 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
42 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
43 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
44 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
45 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
46 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
47 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
48 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
49 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
50 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
51 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
52 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
53 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
54 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
55 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
56 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
57 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
58 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
59 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
60 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
61 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
62 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
63 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
64 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
65 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
66 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
67 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
68 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
69 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
70 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
71 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
72 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
73 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
74 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
75 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
76 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
77 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
78 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
79 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
80 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
81 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
82 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
83 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
84 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
85 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
86 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
87 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
88 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
89 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
90 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
91 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
92 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
93 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
94 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
95 4 m3.4.6.6.6.64 9 18 31 55 88 121 157 194 236
96 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
97 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
98 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
99 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
100 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
101 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
102 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
103 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
104 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
105 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
106 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
107 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
108 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
109 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
110 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
111 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
112 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
113 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
114 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
115 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
116 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
117 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
118 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
119 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
120 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
121 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
122 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
123 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
124 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
125 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
126 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
127 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
128 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
129 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
130 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
131 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
132 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
133 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
134 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
135 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
136 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
137 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
138 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
139 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
140 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
141 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
142 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
143 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
144 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
145 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
146 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
147 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
148 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
149 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
150 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
151 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
152 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
153 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
154 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
155 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
156 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
157 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
158 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
159 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
160 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
161 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
162 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
163 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
164 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
165 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
166 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
167 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
168 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
169 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
170 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
171 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
172 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
173 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
174 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
175 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
176 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
177 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
178 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
179 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
180 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
181 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
182 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
183 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
184 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
185 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
186 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
187 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
188 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
189 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
190 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262
191 4 m4.6.6.6.6.64 11 23 41 63 88 123 162 207 262

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)
Fd-3m (No. 227) (second origin choice)
Transitivity p, q (mofplus-deposit)
2, 5 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)
4
RCSR identification (mofplus-deposit)
fvg
Computed Systre key (mofplus-deposit)
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 2 3 0 0 0 2 6 0 0 0 2 7 0 0 0 3 8 0 0 0 3 9 0 0 0 4 10 0 0 0 4 11 0 0 0 4 12 0 0 0 5 12 0 0 0 5 13 0 0 0 5 14 0 0 0 6 15 0 0 0 6 16 0 0 0 6 17 0 0 0 7 15 0 0 0 7 18 0 0 0 7 19 0 0 0 8 20 0 0 0 8 21 0 0 0 8 22 0 0 0 9 22 0 0 0 9 23 0 0 0 9 24 0 0 0 10 11 0 0 0 10 16 0 0 0 10 25 0 0 0 11 21 0 0 0 11 26 0 0 0 12 27 0 0 0 12 28 0 0 0 13 18 0 0 0 13 29 0 0 0 13 30 0 0 0 14 24 0 0 0 14 31 0 0 0 14 32 0 0 0 15 28 1 0 0 15 33 0 0 0 16 17 0 0 0 16 32 0 1 0 17 20 0 0 0 17 34 0 0 0 18 35 0 0 0 18 36 0 0 0 19 23 0 0 0 19 25 1 -1 0 19 37 0 0 0 20 21 0 0 0 20 36 0 0 1 21 30 0 0 1 22 27 1 -1 1 22 33 0 -1 1 23 26 1 -1 0 23 38 0 0 0 24 34 0 -1 0 24 39 0 0 0 25 32 0 1 0 25 40 0 0 0 26 30 0 0 1 26 41 0 0 0 27 40 0 0 0 27 42 0 0 0 28 41 0 0 0 28 43 0 0 0 29 35 0 0 0 29 38 -1 1 -1 29 42 0 0 0 30 44 0 0 0 31 37 -1 0 0 31 39 0 0 0 31 43 0 0 0 32 44 0 0 0 33 44 0 1 0 33 45 0 0 0 34 36 0 0 1 34 41 1 0 0 35 39 0 1 -1 35 45 0 0 0 36 40 1 -1 0 37 38 0 0 0 37 43 1 0 0 38 42 1 -1 1 39 45 0 -1 1 40 46 0 0 0 41 47 0 0 0 42 46 0 0 0 43 47 0 0 0 44 48 0 0 0 45 48 0 1 0 46 47 0 1 -1 46 48 0 1 0 47 48 0 0 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
950
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)
949.5
Genus (mofplus-deposit)
49
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)
949.5
Genus (rcsr-archive-key)
49
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)
(3.4.6^4)(4.6^5)
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, 953.4.6.6.6.6 3.4.6.6.6.6 3.4.6^4 4 9 18 31 55 88 121 157 194 236
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, 1914.6.6.6.6.6 4.6.6.6.6.6 4.6^5 4 11 23 41 63 88 123 162 207 262

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

Net point symbol (rcsr-archive-key)
(3.4.6^4)(4.6^5)
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, 3, 5, 7, 9, 10, 15, 16, 19, 20, 28, 30, 34, 36, 37, 38, 41, 42, 44, 45, 46, 473.4.6.6.6.6 3.4.6.6.6.6 3.4.6^4 4 9 18 31 55 88 121 157 194 236
4, 6, 8, 11, 12, 13, 14, 17, 18, 21, 22, 23, 24, 25, 26, 27, 29, 31, 32, 33, 35, 39, 40, 434.6.6.6.6.6 4.6.6.6.6.6 4.6^5 4 11 23 41 63 88 123 162 207 262

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 192 of 192 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 192 of 192 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
fvg
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
848 (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
2321 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.