Net topology

gdm

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

JSON · mfpx

176 vertices and 312 edges in the unit cell. 48 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
Fm-3m (No. 225)
Cell lengths
a = 7.0085 Å, b = 7.0085 Å, c = 7.0085 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
176
Transitivity pqrs
3, 3, *, *
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 1 6 0 0 0 2 7 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 3 11 0 0 0 3 12 0 0 0 4 13 0 0 0 4 14 0 0 0 5 15 0 0 0 5 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 11 0 0 0 7 19 0 0 0 8 13 0 0 0 8 20 0 0 0 9 15 0 0 0 9 21 0 0 0 10 17 0 0 0 10 22 0 0 0 11 23 0 0 0 12 22 1 0 0 12 24 0 0 0 12 25 0 0 0 12 26 0 0 0 13 27 0 0 0 14 21 0 1 0 14 24 0 0 0 14 28 0 0 0 14 29 0 0 0 15 29 0 -1 0 16 20 0 0 1 16 27 0 0 1 16 30 0 0 0 16 31 0 0 0 17 26 -1 0 0 18 19 -1 1 1 18 23 -1 1 1 18 30 0 0 0 18 32 0 0 0 19 26 0 -1 -1 19 33 0 0 0 19 34 0 0 0 20 29 0 -1 -1 20 34 0 0 0 20 35 0 0 0 21 27 0 -1 0 21 36 0 0 0 21 37 0 0 0 22 23 -1 0 0 22 37 0 0 0 22 38 0 0 0 24 39 0 0 0 25 40 0 0 0 25 41 0 0 0 28 40 -1 1 0 28 42 0 0 0 30 43 0 0 0 31 41 0 0 0 31 44 0 0 0 32 42 0 0 0 32 44 -1 1 0 33 41 0 -1 -1 33 43 1 -1 -1 34 44 0 0 -1 35 42 0 -1 -1 35 43 0 0 -1 36 39 0 -1 0 36 41 0 -1 -1 37 40 -1 0 0 38 39 -1 0 0 38 42 0 -1 -1 41 42 1 -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
d40be925d05fb392706008858fa890c3 (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: 176 of 176 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. 176 of 176 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 Fm-3m, 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 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
1 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
2 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
3 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
4 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
5 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
6 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
7 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
8 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
9 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
10 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
11 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
12 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
13 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
14 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
15 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
16 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
17 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
18 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
19 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
20 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
21 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
22 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
23 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
24 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
25 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
26 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
27 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
28 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
29 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
30 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
31 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
32 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
33 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
34 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
35 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
36 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
37 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
38 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
39 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
40 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
41 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
42 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
43 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
44 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
45 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
46 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
47 5 mm25.5.5.5.6.6.8.8.8(2).8(2)5 12 22 42 64 95 136 175 224 284
48 3 m5.5.63 10 19 34 57 86 123 160 213 261
49 3 m5.5.63 10 19 34 57 86 123 160 213 261
50 3 m5.5.63 10 19 34 57 86 123 160 213 261
51 3 m5.5.63 10 19 34 57 86 123 160 213 261
52 3 m5.5.63 10 19 34 57 86 123 160 213 261
53 3 m5.5.63 10 19 34 57 86 123 160 213 261
54 3 m5.5.63 10 19 34 57 86 123 160 213 261
55 3 m5.5.63 10 19 34 57 86 123 160 213 261
56 3 m5.5.63 10 19 34 57 86 123 160 213 261
57 3 m5.5.63 10 19 34 57 86 123 160 213 261
58 3 m5.5.63 10 19 34 57 86 123 160 213 261
59 3 m5.5.63 10 19 34 57 86 123 160 213 261
60 3 m5.5.63 10 19 34 57 86 123 160 213 261
61 3 m5.5.63 10 19 34 57 86 123 160 213 261
62 3 m5.5.63 10 19 34 57 86 123 160 213 261
63 3 m5.5.63 10 19 34 57 86 123 160 213 261
64 3 m5.5.63 10 19 34 57 86 123 160 213 261
65 3 m5.5.63 10 19 34 57 86 123 160 213 261
66 3 m5.5.63 10 19 34 57 86 123 160 213 261
67 3 m5.5.63 10 19 34 57 86 123 160 213 261
68 3 m5.5.63 10 19 34 57 86 123 160 213 261
69 3 m5.5.63 10 19 34 57 86 123 160 213 261
70 3 m5.5.63 10 19 34 57 86 123 160 213 261
71 3 m5.5.63 10 19 34 57 86 123 160 213 261
72 3 m5.5.63 10 19 34 57 86 123 160 213 261
73 3 m5.5.63 10 19 34 57 86 123 160 213 261
74 3 m5.5.63 10 19 34 57 86 123 160 213 261
75 3 m5.5.63 10 19 34 57 86 123 160 213 261
76 3 m5.5.63 10 19 34 57 86 123 160 213 261
77 3 m5.5.63 10 19 34 57 86 123 160 213 261
78 3 m5.5.63 10 19 34 57 86 123 160 213 261
79 3 m5.5.63 10 19 34 57 86 123 160 213 261
80 3 m5.5.63 10 19 34 57 86 123 160 213 261
81 3 m5.5.63 10 19 34 57 86 123 160 213 261
82 3 m5.5.63 10 19 34 57 86 123 160 213 261
83 3 m5.5.63 10 19 34 57 86 123 160 213 261
84 3 m5.5.63 10 19 34 57 86 123 160 213 261
85 3 m5.5.63 10 19 34 57 86 123 160 213 261
86 3 m5.5.63 10 19 34 57 86 123 160 213 261
87 3 m5.5.63 10 19 34 57 86 123 160 213 261
88 3 m5.5.63 10 19 34 57 86 123 160 213 261
89 3 m5.5.63 10 19 34 57 86 123 160 213 261
90 3 m5.5.63 10 19 34 57 86 123 160 213 261
91 3 m5.5.63 10 19 34 57 86 123 160 213 261
92 3 m5.5.63 10 19 34 57 86 123 160 213 261
93 3 m5.5.63 10 19 34 57 86 123 160 213 261
94 3 m5.5.63 10 19 34 57 86 123 160 213 261
95 3 m5.5.63 10 19 34 57 86 123 160 213 261
96 3 m5.5.63 10 19 34 57 86 123 160 213 261
97 3 m5.5.63 10 19 34 57 86 123 160 213 261
98 3 m5.5.63 10 19 34 57 86 123 160 213 261
99 3 m5.5.63 10 19 34 57 86 123 160 213 261
100 3 m5.5.63 10 19 34 57 86 123 160 213 261
101 3 m5.5.63 10 19 34 57 86 123 160 213 261
102 3 m5.5.63 10 19 34 57 86 123 160 213 261
103 3 m5.5.63 10 19 34 57 86 123 160 213 261
104 3 m5.5.63 10 19 34 57 86 123 160 213 261
105 3 m5.5.63 10 19 34 57 86 123 160 213 261
106 3 m5.5.63 10 19 34 57 86 123 160 213 261
107 3 m5.5.63 10 19 34 57 86 123 160 213 261
108 3 m5.5.63 10 19 34 57 86 123 160 213 261
109 3 m5.5.63 10 19 34 57 86 123 160 213 261
110 3 m5.5.63 10 19 34 57 86 123 160 213 261
111 3 m5.5.63 10 19 34 57 86 123 160 213 261
112 3 m5.5.63 10 19 34 57 86 123 160 213 261
113 3 m5.5.63 10 19 34 57 86 123 160 213 261
114 3 m5.5.63 10 19 34 57 86 123 160 213 261
115 3 m5.5.63 10 19 34 57 86 123 160 213 261
116 3 m5.5.63 10 19 34 57 86 123 160 213 261
117 3 m5.5.63 10 19 34 57 86 123 160 213 261
118 3 m5.5.63 10 19 34 57 86 123 160 213 261
119 3 m5.5.63 10 19 34 57 86 123 160 213 261
120 3 m5.5.63 10 19 34 57 86 123 160 213 261
121 3 m5.5.63 10 19 34 57 86 123 160 213 261
122 3 m5.5.63 10 19 34 57 86 123 160 213 261
123 3 m5.5.63 10 19 34 57 86 123 160 213 261
124 3 m5.5.63 10 19 34 57 86 123 160 213 261
125 3 m5.5.63 10 19 34 57 86 123 160 213 261
126 3 m5.5.63 10 19 34 57 86 123 160 213 261
127 3 m5.5.63 10 19 34 57 86 123 160 213 261
128 3 m5.5.63 10 19 34 57 86 123 160 213 261
129 3 m5.5.63 10 19 34 57 86 123 160 213 261
130 3 m5.5.63 10 19 34 57 86 123 160 213 261
131 3 m5.5.63 10 19 34 57 86 123 160 213 261
132 3 m5.5.63 10 19 34 57 86 123 160 213 261
133 3 m5.5.63 10 19 34 57 86 123 160 213 261
134 3 m5.5.63 10 19 34 57 86 123 160 213 261
135 3 m5.5.63 10 19 34 57 86 123 160 213 261
136 3 m5.5.63 10 19 34 57 86 123 160 213 261
137 3 m5.5.63 10 19 34 57 86 123 160 213 261
138 3 m5.5.63 10 19 34 57 86 123 160 213 261
139 3 m5.5.63 10 19 34 57 86 123 160 213 261
140 3 m5.5.63 10 19 34 57 86 123 160 213 261
141 3 m5.5.63 10 19 34 57 86 123 160 213 261
142 3 m5.5.63 10 19 34 57 86 123 160 213 261
143 3 m5.5.63 10 19 34 57 86 123 160 213 261
144 3 3m5.5.53 6 18 24 57 90 93 156 202 240
145 3 3m5.5.53 6 18 24 57 90 93 156 202 240
146 3 3m5.5.53 6 18 24 57 90 93 156 202 240
147 3 3m5.5.53 6 18 24 57 90 93 156 202 240
148 3 3m5.5.53 6 18 24 57 90 93 156 202 240
149 3 3m5.5.53 6 18 24 57 90 93 156 202 240
150 3 3m5.5.53 6 18 24 57 90 93 156 202 240
151 3 3m5.5.53 6 18 24 57 90 93 156 202 240
152 3 3m5.5.53 6 18 24 57 90 93 156 202 240
153 3 3m5.5.53 6 18 24 57 90 93 156 202 240
154 3 3m5.5.53 6 18 24 57 90 93 156 202 240
155 3 3m5.5.53 6 18 24 57 90 93 156 202 240
156 3 3m5.5.53 6 18 24 57 90 93 156 202 240
157 3 3m5.5.53 6 18 24 57 90 93 156 202 240
158 3 3m5.5.53 6 18 24 57 90 93 156 202 240
159 3 3m5.5.53 6 18 24 57 90 93 156 202 240
160 3 3m5.5.53 6 18 24 57 90 93 156 202 240
161 3 3m5.5.53 6 18 24 57 90 93 156 202 240
162 3 3m5.5.53 6 18 24 57 90 93 156 202 240
163 3 3m5.5.53 6 18 24 57 90 93 156 202 240
164 3 3m5.5.53 6 18 24 57 90 93 156 202 240
165 3 3m5.5.53 6 18 24 57 90 93 156 202 240
166 3 3m5.5.53 6 18 24 57 90 93 156 202 240
167 3 3m5.5.53 6 18 24 57 90 93 156 202 240
168 3 3m5.5.53 6 18 24 57 90 93 156 202 240
169 3 3m5.5.53 6 18 24 57 90 93 156 202 240
170 3 3m5.5.53 6 18 24 57 90 93 156 202 240
171 3 3m5.5.53 6 18 24 57 90 93 156 202 240
172 3 3m5.5.53 6 18 24 57 90 93 156 202 240
173 3 3m5.5.53 6 18 24 57 90 93 156 202 240
174 3 3m5.5.53 6 18 24 57 90 93 156 202 240
175 3 3m5.5.53 6 18 24 57 90 93 156 202 240

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)
Fm-3m (No. 225)
Transitivity p, q (mofplus-deposit)
3, 3 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)
gdm
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 1 6 0 0 0 2 7 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 3 11 0 0 0 3 12 0 0 0 4 13 0 0 0 4 14 0 0 0 5 15 0 0 0 5 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 11 0 0 0 7 19 0 0 0 8 13 0 0 0 8 20 0 0 0 9 15 0 0 0 9 21 0 0 0 10 17 0 0 0 10 22 0 0 0 11 23 0 0 0 12 22 1 0 0 12 24 0 0 0 12 25 0 0 0 12 26 0 0 0 13 27 0 0 0 14 21 0 1 0 14 24 0 0 0 14 28 0 0 0 14 29 0 0 0 15 29 0 -1 0 16 20 0 0 1 16 27 0 0 1 16 30 0 0 0 16 31 0 0 0 17 26 -1 0 0 18 19 -1 1 1 18 23 -1 1 1 18 30 0 0 0 18 32 0 0 0 19 26 0 -1 -1 19 33 0 0 0 19 34 0 0 0 20 29 0 -1 -1 20 34 0 0 0 20 35 0 0 0 21 27 0 -1 0 21 36 0 0 0 21 37 0 0 0 22 23 -1 0 0 22 37 0 0 0 22 38 0 0 0 24 39 0 0 0 25 40 0 0 0 25 41 0 0 0 28 40 -1 1 0 28 42 0 0 0 30 43 0 0 0 31 41 0 0 0 31 44 0 0 0 32 42 0 0 0 32 44 -1 1 0 33 41 0 -1 -1 33 43 1 -1 -1 34 44 0 0 -1 35 42 0 -1 -1 35 43 0 0 -1 36 39 0 -1 0 36 41 0 -1 -1 37 40 -1 0 0 38 39 -1 0 0 38 42 0 -1 -1 41 42 1 -1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
978
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)
978.3636363636364
Genus (mofplus-deposit)
35
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)
978.3636363636364
Genus (rcsr-archive-key)
35
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)
(5^2.6)6(5^3)2(5^4.6^2.8^4)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, 475.5.5.5.6.6.8.8.8(2).8(2) 5.5.5.5.6.6.8.8.12.12 5^4.6^2.8^4 5 12 22 42 64 95 136 175 224 284
48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 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, 1435.5.6 5.5.6 5^2.6 3 10 19 34 57 86 123 160 213 261
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, 1755.5.5 5.5.5 5^3 3 6 18 24 57 90 93 156 202 240

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

Net point symbol (rcsr-archive-key)
(5^2.6)6(5^3)2(5^4.6^2.8^4)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, 11, 13, 15, 17, 18, 19, 20, 21, 40, 415.5.5.5.6.6.8.8.8(2).8(2) 5.5.5.5.6.6.8.8.12.12 5^4.6^2.8^4 5 12 22 42 64 95 136 175 224 284
2, 3, 4, 5, 6, 7, 8, 9, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 375.5.6 5.5.6 5^2.6 3 10 19 34 57 86 123 160 213 261
10, 12, 14, 16, 38, 39, 42, 435.5.5 5.5.5 5^3 3 6 18 24 57 90 93 156 202 240

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 176 of 176 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 176 of 176 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
gdm
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
890 (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
2300 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.