Net topology

mgc-a

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

JSON · mfpx

192 vertices and 336 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 = 7.6089 Å, b = 7.6089 Å, c = 7.6089 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
Transitivity pqrs
2, 4, *, *
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 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 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 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 29 0 0 0 13 30 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 31 0 1 0 17 20 0 0 0 17 34 0 0 0 18 35 0 0 0 18 36 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 40 0 0 0 26 41 0 0 0 27 42 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 44 0 0 0 32 37 -1 0 0 32 39 0 0 0 32 43 0 0 0 33 45 0 0 0 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
f2ba37a662ed0f63ea205b18bab6f41d (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 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
1 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
2 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
3 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
4 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
5 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
6 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
7 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
8 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
9 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
10 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
11 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
12 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
13 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
14 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
15 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
16 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
17 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
18 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
19 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
20 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
21 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
22 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
23 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
24 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
25 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
26 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
27 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
28 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
29 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
30 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
31 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
32 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
33 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
34 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
35 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
36 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
37 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
38 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
39 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
40 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
41 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
42 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
43 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
44 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
45 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
46 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
47 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
48 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
49 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
50 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
51 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
52 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
53 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
54 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
55 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
56 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
57 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
58 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
59 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
60 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
61 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
62 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
63 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
64 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
65 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
66 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
67 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
68 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
69 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
70 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
71 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
72 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
73 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
74 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
75 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
76 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
77 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
78 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
79 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
80 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
81 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
82 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
83 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
84 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
85 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
86 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
87 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
88 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
89 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
90 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
91 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
92 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
93 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
94 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
95 3 m6.8(2).8(2)3 7 16 31 49 68 91 122 166 210
96 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
97 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
98 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
99 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
100 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
101 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
102 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
103 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
104 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
105 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
106 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
107 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
108 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
109 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
110 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
111 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
112 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
113 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
114 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
115 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
116 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
117 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
118 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
119 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
120 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
121 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
122 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
123 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
124 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
125 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
126 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
127 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
128 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
129 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
130 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
131 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
132 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
133 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
134 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
135 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
136 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
137 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
138 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
139 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
140 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
141 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
142 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
143 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
144 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
145 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
146 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
147 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
148 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
149 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
150 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
151 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
152 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
153 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
154 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
155 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
156 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
157 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
158 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
159 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
160 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
161 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
162 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
163 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
164 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
165 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
166 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
167 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
168 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
169 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
170 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
171 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
172 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
173 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
174 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
175 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
176 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
177 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
178 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
179 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
180 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
181 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
182 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
183 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
184 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
185 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
186 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
187 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
188 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
189 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
190 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200
191 4 m3.6.6.8.8.8(2)4 9 18 29 46 71 102 138 176 200

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, 4 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)
mgc-a
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 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 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 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 29 0 0 0 13 30 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 31 0 1 0 17 20 0 0 0 17 34 0 0 0 18 35 0 0 0 18 36 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 40 0 0 0 26 41 0 0 0 27 42 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 44 0 0 0 32 37 -1 0 0 32 39 0 0 0 32 43 0 0 0 33 45 0 0 0 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)
779
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)
779.0
Genus (mofplus-deposit)
37
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)
779.0
Genus (rcsr-archive-key)
37
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)
(6.8^2)(3.6^2.8^3)
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, 956.8(2).8(2) 6.8(2).8(2) 6.8^2 3 7 16 31 49 68 91 122 166 210
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, 1913.6.6.8.8.8(2) 3.6.6.8.8.8(2) 3.6^2.8^3 4 9 18 29 46 71 102 138 176 200

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

Net point symbol (rcsr-archive-key)
(6.8^2)(3.6^2.8^3)
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, 1, 2, 3, 5, 7, 9, 10, 15, 16, 19, 20, 28, 31, 34, 36, 37, 38, 41, 42, 44, 45, 46, 473.6.6.8.8.8(2) 3.6.6.8.8.8(2) 3.6^2.8^3 4 9 18 29 46 71 102 138 176 200
4, 6, 8, 11, 12, 13, 14, 17, 18, 21, 22, 23, 24, 25, 26, 27, 29, 30, 32, 33, 35, 39, 40, 436.8(2).8(2) 6.8(2).8(2) 6.8^2 3 7 16 31 49 68 91 122 166 210

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
mgc-a
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
1280 (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
2313 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.