Net topology

kgo

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

JSON · mfpx

224 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-3 (No. 203)
Cell lengths
a = 9.1641 Å, b = 9.1641 Å, c = 9.1641 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
224
Transitivity pqrs
3, 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 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 32 0 0 0 17 33 0 0 0 18 22 0 0 0 18 34 0 0 0 19 35 0 0 0 20 33 1 0 0 20 36 0 0 0 21 37 0 0 0 21 38 0 0 0 22 39 0 0 0 23 34 0 1 0 23 40 0 0 0 24 41 0 0 0 24 42 0 0 0 25 26 0 0 0 25 43 0 0 0 26 36 0 0 1 27 40 1 -1 1 27 44 0 0 0 28 45 0 0 0 28 46 0 0 0 29 44 -1 1 -1 29 47 0 0 0 30 42 -1 0 -1 30 48 0 0 0 31 32 0 0 0 31 49 0 0 0 32 35 -1 0 0 33 40 0 -1 0 34 41 0 -1 0 35 50 0 0 0 36 37 0 0 0 37 51 0 0 0 38 45 -1 0 -1 38 50 -1 0 -1 39 49 1 -1 0 39 52 0 0 0 41 53 0 0 0 42 47 1 0 1 43 48 1 0 1 43 54 0 0 0 44 46 0 0 0 45 52 1 0 1 46 54 1 -1 0 47 55 0 0 0 48 52 -1 1 0 49 53 -1 0 0 50 56 0 0 0 51 54 0 0 -1 51 55 0 0 0 53 56 0 0 0 55 56 -1 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
11529d591fbd7ce9cbd4b597c2ad7f89 (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: 224 of 224 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. 224 of 224 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-3, 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 17.7.73 6 12 18 30 44 63 84 104 134
1 3 17.7.73 6 12 18 30 44 63 84 104 134
2 3 17.7.73 6 12 18 30 44 63 84 104 134
3 3 17.7.73 6 12 18 30 44 63 84 104 134
4 3 17.7.73 6 12 18 30 44 63 84 104 134
5 3 17.7.73 6 12 18 30 44 63 84 104 134
6 3 17.7.73 6 12 18 30 44 63 84 104 134
7 3 17.7.73 6 12 18 30 44 63 84 104 134
8 3 17.7.73 6 12 18 30 44 63 84 104 134
9 3 17.7.73 6 12 18 30 44 63 84 104 134
10 3 17.7.73 6 12 18 30 44 63 84 104 134
11 3 17.7.73 6 12 18 30 44 63 84 104 134
12 3 17.7.73 6 12 18 30 44 63 84 104 134
13 3 17.7.73 6 12 18 30 44 63 84 104 134
14 3 17.7.73 6 12 18 30 44 63 84 104 134
15 3 17.7.73 6 12 18 30 44 63 84 104 134
16 3 17.7.73 6 12 18 30 44 63 84 104 134
17 3 17.7.73 6 12 18 30 44 63 84 104 134
18 3 17.7.73 6 12 18 30 44 63 84 104 134
19 3 17.7.73 6 12 18 30 44 63 84 104 134
20 3 17.7.73 6 12 18 30 44 63 84 104 134
21 3 17.7.73 6 12 18 30 44 63 84 104 134
22 3 17.7.73 6 12 18 30 44 63 84 104 134
23 3 17.7.73 6 12 18 30 44 63 84 104 134
24 3 17.7.73 6 12 18 30 44 63 84 104 134
25 3 17.7.73 6 12 18 30 44 63 84 104 134
26 3 17.7.73 6 12 18 30 44 63 84 104 134
27 3 17.7.73 6 12 18 30 44 63 84 104 134
28 3 17.7.73 6 12 18 30 44 63 84 104 134
29 3 17.7.73 6 12 18 30 44 63 84 104 134
30 3 17.7.73 6 12 18 30 44 63 84 104 134
31 3 17.7.73 6 12 18 30 44 63 84 104 134
32 3 17.7.73 6 12 18 30 44 63 84 104 134
33 3 17.7.73 6 12 18 30 44 63 84 104 134
34 3 17.7.73 6 12 18 30 44 63 84 104 134
35 3 17.7.73 6 12 18 30 44 63 84 104 134
36 3 17.7.73 6 12 18 30 44 63 84 104 134
37 3 17.7.73 6 12 18 30 44 63 84 104 134
38 3 17.7.73 6 12 18 30 44 63 84 104 134
39 3 17.7.73 6 12 18 30 44 63 84 104 134
40 3 17.7.73 6 12 18 30 44 63 84 104 134
41 3 17.7.73 6 12 18 30 44 63 84 104 134
42 3 17.7.73 6 12 18 30 44 63 84 104 134
43 3 17.7.73 6 12 18 30 44 63 84 104 134
44 3 17.7.73 6 12 18 30 44 63 84 104 134
45 3 17.7.73 6 12 18 30 44 63 84 104 134
46 3 17.7.73 6 12 18 30 44 63 84 104 134
47 3 17.7.73 6 12 18 30 44 63 84 104 134
48 3 17.7.73 6 12 18 30 44 63 84 104 134
49 3 17.7.73 6 12 18 30 44 63 84 104 134
50 3 17.7.73 6 12 18 30 44 63 84 104 134
51 3 17.7.73 6 12 18 30 44 63 84 104 134
52 3 17.7.73 6 12 18 30 44 63 84 104 134
53 3 17.7.73 6 12 18 30 44 63 84 104 134
54 3 17.7.73 6 12 18 30 44 63 84 104 134
55 3 17.7.73 6 12 18 30 44 63 84 104 134
56 3 17.7.73 6 12 18 30 44 63 84 104 134
57 3 17.7.73 6 12 18 30 44 63 84 104 134
58 3 17.7.73 6 12 18 30 44 63 84 104 134
59 3 17.7.73 6 12 18 30 44 63 84 104 134
60 3 17.7.73 6 12 18 30 44 63 84 104 134
61 3 17.7.73 6 12 18 30 44 63 84 104 134
62 3 17.7.73 6 12 18 30 44 63 84 104 134
63 3 17.7.73 6 12 18 30 44 63 84 104 134
64 3 17.7.73 6 12 18 30 44 63 84 104 134
65 3 17.7.73 6 12 18 30 44 63 84 104 134
66 3 17.7.73 6 12 18 30 44 63 84 104 134
67 3 17.7.73 6 12 18 30 44 63 84 104 134
68 3 17.7.73 6 12 18 30 44 63 84 104 134
69 3 17.7.73 6 12 18 30 44 63 84 104 134
70 3 17.7.73 6 12 18 30 44 63 84 104 134
71 3 17.7.73 6 12 18 30 44 63 84 104 134
72 3 17.7.73 6 12 18 30 44 63 84 104 134
73 3 17.7.73 6 12 18 30 44 63 84 104 134
74 3 17.7.73 6 12 18 30 44 63 84 104 134
75 3 17.7.73 6 12 18 30 44 63 84 104 134
76 3 17.7.73 6 12 18 30 44 63 84 104 134
77 3 17.7.73 6 12 18 30 44 63 84 104 134
78 3 17.7.73 6 12 18 30 44 63 84 104 134
79 3 17.7.73 6 12 18 30 44 63 84 104 134
80 3 17.7.73 6 12 18 30 44 63 84 104 134
81 3 17.7.73 6 12 18 30 44 63 84 104 134
82 3 17.7.73 6 12 18 30 44 63 84 104 134
83 3 17.7.73 6 12 18 30 44 63 84 104 134
84 3 17.7.73 6 12 18 30 44 63 84 104 134
85 3 17.7.73 6 12 18 30 44 63 84 104 134
86 3 17.7.73 6 12 18 30 44 63 84 104 134
87 3 17.7.73 6 12 18 30 44 63 84 104 134
88 3 17.7.73 6 12 18 30 44 63 84 104 134
89 3 17.7.73 6 12 18 30 44 63 84 104 134
90 3 17.7.73 6 12 18 30 44 63 84 104 134
91 3 17.7.73 6 12 18 30 44 63 84 104 134
92 3 17.7.73 6 12 18 30 44 63 84 104 134
93 3 17.7.73 6 12 18 30 44 63 84 104 134
94 3 17.7.73 6 12 18 30 44 63 84 104 134
95 3 17.7.73 6 12 18 30 44 63 84 104 134
96 3 17.7.73 6 12 18 30 44 64 80 111 126
97 3 17.7.73 6 12 18 30 44 64 80 111 126
98 3 17.7.73 6 12 18 30 44 64 80 111 126
99 3 17.7.73 6 12 18 30 44 64 80 111 126
100 3 17.7.73 6 12 18 30 44 64 80 111 126
101 3 17.7.73 6 12 18 30 44 64 80 111 126
102 3 17.7.73 6 12 18 30 44 64 80 111 126
103 3 17.7.73 6 12 18 30 44 64 80 111 126
104 3 17.7.73 6 12 18 30 44 64 80 111 126
105 3 17.7.73 6 12 18 30 44 64 80 111 126
106 3 17.7.73 6 12 18 30 44 64 80 111 126
107 3 17.7.73 6 12 18 30 44 64 80 111 126
108 3 17.7.73 6 12 18 30 44 64 80 111 126
109 3 17.7.73 6 12 18 30 44 64 80 111 126
110 3 17.7.73 6 12 18 30 44 64 80 111 126
111 3 17.7.73 6 12 18 30 44 64 80 111 126
112 3 17.7.73 6 12 18 30 44 64 80 111 126
113 3 17.7.73 6 12 18 30 44 64 80 111 126
114 3 17.7.73 6 12 18 30 44 64 80 111 126
115 3 17.7.73 6 12 18 30 44 64 80 111 126
116 3 17.7.73 6 12 18 30 44 64 80 111 126
117 3 17.7.73 6 12 18 30 44 64 80 111 126
118 3 17.7.73 6 12 18 30 44 64 80 111 126
119 3 17.7.73 6 12 18 30 44 64 80 111 126
120 3 17.7.73 6 12 18 30 44 64 80 111 126
121 3 17.7.73 6 12 18 30 44 64 80 111 126
122 3 17.7.73 6 12 18 30 44 64 80 111 126
123 3 17.7.73 6 12 18 30 44 64 80 111 126
124 3 17.7.73 6 12 18 30 44 64 80 111 126
125 3 17.7.73 6 12 18 30 44 64 80 111 126
126 3 17.7.73 6 12 18 30 44 64 80 111 126
127 3 17.7.73 6 12 18 30 44 64 80 111 126
128 3 17.7.73 6 12 18 30 44 64 80 111 126
129 3 17.7.73 6 12 18 30 44 64 80 111 126
130 3 17.7.73 6 12 18 30 44 64 80 111 126
131 3 17.7.73 6 12 18 30 44 64 80 111 126
132 3 17.7.73 6 12 18 30 44 64 80 111 126
133 3 17.7.73 6 12 18 30 44 64 80 111 126
134 3 17.7.73 6 12 18 30 44 64 80 111 126
135 3 17.7.73 6 12 18 30 44 64 80 111 126
136 3 17.7.73 6 12 18 30 44 64 80 111 126
137 3 17.7.73 6 12 18 30 44 64 80 111 126
138 3 17.7.73 6 12 18 30 44 64 80 111 126
139 3 17.7.73 6 12 18 30 44 64 80 111 126
140 3 17.7.73 6 12 18 30 44 64 80 111 126
141 3 17.7.73 6 12 18 30 44 64 80 111 126
142 3 17.7.73 6 12 18 30 44 64 80 111 126
143 3 17.7.73 6 12 18 30 44 64 80 111 126
144 3 17.7.73 6 12 18 30 44 64 80 111 126
145 3 17.7.73 6 12 18 30 44 64 80 111 126
146 3 17.7.73 6 12 18 30 44 64 80 111 126
147 3 17.7.73 6 12 18 30 44 64 80 111 126
148 3 17.7.73 6 12 18 30 44 64 80 111 126
149 3 17.7.73 6 12 18 30 44 64 80 111 126
150 3 17.7.73 6 12 18 30 44 64 80 111 126
151 3 17.7.73 6 12 18 30 44 64 80 111 126
152 3 17.7.73 6 12 18 30 44 64 80 111 126
153 3 17.7.73 6 12 18 30 44 64 80 111 126
154 3 17.7.73 6 12 18 30 44 64 80 111 126
155 3 17.7.73 6 12 18 30 44 64 80 111 126
156 3 17.7.73 6 12 18 30 44 64 80 111 126
157 3 17.7.73 6 12 18 30 44 64 80 111 126
158 3 17.7.73 6 12 18 30 44 64 80 111 126
159 3 17.7.73 6 12 18 30 44 64 80 111 126
160 3 17.7.73 6 12 18 30 44 64 80 111 126
161 3 17.7.73 6 12 18 30 44 64 80 111 126
162 3 17.7.73 6 12 18 30 44 64 80 111 126
163 3 17.7.73 6 12 18 30 44 64 80 111 126
164 3 17.7.73 6 12 18 30 44 64 80 111 126
165 3 17.7.73 6 12 18 30 44 64 80 111 126
166 3 17.7.73 6 12 18 30 44 64 80 111 126
167 3 17.7.73 6 12 18 30 44 64 80 111 126
168 3 17.7.73 6 12 18 30 44 64 80 111 126
169 3 17.7.73 6 12 18 30 44 64 80 111 126
170 3 17.7.73 6 12 18 30 44 64 80 111 126
171 3 17.7.73 6 12 18 30 44 64 80 111 126
172 3 17.7.73 6 12 18 30 44 64 80 111 126
173 3 17.7.73 6 12 18 30 44 64 80 111 126
174 3 17.7.73 6 12 18 30 44 64 80 111 126
175 3 17.7.73 6 12 18 30 44 64 80 111 126
176 3 17.7.73 6 12 18 30 44 64 80 111 126
177 3 17.7.73 6 12 18 30 44 64 80 111 126
178 3 17.7.73 6 12 18 30 44 64 80 111 126
179 3 17.7.73 6 12 18 30 44 64 80 111 126
180 3 17.7.73 6 12 18 30 44 64 80 111 126
181 3 17.7.73 6 12 18 30 44 64 80 111 126
182 3 17.7.73 6 12 18 30 44 64 80 111 126
183 3 17.7.73 6 12 18 30 44 64 80 111 126
184 3 17.7.73 6 12 18 30 44 64 80 111 126
185 3 17.7.73 6 12 18 30 44 64 80 111 126
186 3 17.7.73 6 12 18 30 44 64 80 111 126
187 3 17.7.73 6 12 18 30 44 64 80 111 126
188 3 17.7.73 6 12 18 30 44 64 80 111 126
189 3 17.7.73 6 12 18 30 44 64 80 111 126
190 3 17.7.73 6 12 18 30 44 64 80 111 126
191 3 17.7.73 6 12 18 30 44 64 80 111 126
192 3 37.7.73 6 12 18 30 45 60 84 102 138
193 3 37.7.73 6 12 18 30 45 60 84 102 138
194 3 37.7.73 6 12 18 30 45 60 84 102 138
195 3 37.7.73 6 12 18 30 45 60 84 102 138
196 3 37.7.73 6 12 18 30 45 60 84 102 138
197 3 37.7.73 6 12 18 30 45 60 84 102 138
198 3 37.7.73 6 12 18 30 45 60 84 102 138
199 3 37.7.73 6 12 18 30 45 60 84 102 138
200 3 37.7.73 6 12 18 30 45 60 84 102 138
201 3 37.7.73 6 12 18 30 45 60 84 102 138
202 3 37.7.73 6 12 18 30 45 60 84 102 138
203 3 37.7.73 6 12 18 30 45 60 84 102 138
204 3 37.7.73 6 12 18 30 45 60 84 102 138
205 3 37.7.73 6 12 18 30 45 60 84 102 138
206 3 37.7.73 6 12 18 30 45 60 84 102 138
207 3 37.7.73 6 12 18 30 45 60 84 102 138
208 3 37.7.73 6 12 18 30 45 60 84 102 138
209 3 37.7.73 6 12 18 30 45 60 84 102 138
210 3 37.7.73 6 12 18 30 45 60 84 102 138
211 3 37.7.73 6 12 18 30 45 60 84 102 138
212 3 37.7.73 6 12 18 30 45 60 84 102 138
213 3 37.7.73 6 12 18 30 45 60 84 102 138
214 3 37.7.73 6 12 18 30 45 60 84 102 138
215 3 37.7.73 6 12 18 30 45 60 84 102 138
216 3 37.7.73 6 12 18 30 45 60 84 102 138
217 3 37.7.73 6 12 18 30 45 60 84 102 138
218 3 37.7.73 6 12 18 30 45 60 84 102 138
219 3 37.7.73 6 12 18 30 45 60 84 102 138
220 3 37.7.73 6 12 18 30 45 60 84 102 138
221 3 37.7.73 6 12 18 30 45 60 84 102 138
222 3 37.7.73 6 12 18 30 45 60 84 102 138
223 3 37.7.73 6 12 18 30 45 60 84 102 138

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-3 (No. 203) (second origin choice)
Transitivity p, q (mofplus-deposit)
3, 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)
24
Repeat-unit factor (mofplus-deposit)
4
RCSR identification (mofplus-deposit)
kgo
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 32 0 0 0 17 33 0 0 0 18 22 0 0 0 18 34 0 0 0 19 35 0 0 0 20 33 1 0 0 20 36 0 0 0 21 37 0 0 0 21 38 0 0 0 22 39 0 0 0 23 34 0 1 0 23 40 0 0 0 24 41 0 0 0 24 42 0 0 0 25 26 0 0 0 25 43 0 0 0 26 36 0 0 1 27 40 1 -1 1 27 44 0 0 0 28 45 0 0 0 28 46 0 0 0 29 44 -1 1 -1 29 47 0 0 0 30 42 -1 0 -1 30 48 0 0 0 31 32 0 0 0 31 49 0 0 0 32 35 -1 0 0 33 40 0 -1 0 34 41 0 -1 0 35 50 0 0 0 36 37 0 0 0 37 51 0 0 0 38 45 -1 0 -1 38 50 -1 0 -1 39 49 1 -1 0 39 52 0 0 0 41 53 0 0 0 42 47 1 0 1 43 48 1 0 1 43 54 0 0 0 44 46 0 0 0 45 52 1 0 1 46 54 1 -1 0 47 55 0 0 0 48 52 -1 1 0 49 53 -1 0 0 50 56 0 0 0 51 54 0 0 -1 51 55 0 0 0 53 56 0 0 0 55 56 -1 0 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
497
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)
497.2857142857143
Genus (mofplus-deposit)
29
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)
497.2857142857143
Genus (rcsr-archive-key)
29
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 30 44 63 84 104 134
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, 1917.7.7 7.7.7 7^3 3 6 12 18 30 44 64 80 111 126
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 18 30 45 60 84 102 138

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, 1, 6, 9, 11, 13, 15, 21, 24, 27, 28, 31, 32, 33, 34, 35, 36, 39, 40, 43, 47, 51, 54, 557.7.7 7.7.7 7^3 3 6 12 18 30 44 63 84 104 134
2, 3, 4, 5, 14, 16, 17, 18, 19, 20, 22, 23, 25, 26, 29, 30, 38, 42, 44, 45, 46, 49, 50, 527.7.7 7.7.7 7^3 3 6 12 18 30 44 64 80 111 126
7, 8, 10, 12, 37, 41, 48, 537.7.7 7.7.7 7^3 3 6 12 18 30 45 60 84 102 138

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 224 of 224 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 224 of 224 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
kgo
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
1121 (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
2354 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.