Net topology

kgr

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

JSON · mfpx

224 vertices and 336 edges in the unit cell. 84 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
F4132 (No. 210)
Cell lengths
a = 8.0003 Å, b = 8.0003 Å, c = 8.0003 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
224
Transitivity pqrs
3, 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 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 27 1 0 0 16 30 0 0 0 17 31 0 0 0 17 32 0 0 0 18 21 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 22 25 0 1 0 22 38 0 0 0 23 34 1 -1 0 23 39 0 0 0 24 37 0 -1 0 24 40 0 0 0 25 26 0 0 0 26 41 0 0 0 27 31 -1 0 0 28 42 0 0 0 28 43 0 0 0 29 44 0 0 0 29 45 0 0 0 30 46 0 0 0 30 47 0 0 0 31 42 1 0 0 32 38 0 0 1 32 48 0 0 0 33 44 -1 2 1 33 49 0 0 0 34 50 0 0 0 35 51 0 0 0 35 52 0 0 0 36 38 0 0 0 36 53 0 0 0 37 52 0 1 1 39 40 0 0 0 39 43 1 -1 0 40 54 0 0 0 41 47 -1 0 0 41 48 0 -1 -1 42 53 -1 0 1 43 46 -1 1 1 44 50 1 -1 0 45 46 0 0 0 45 55 0 0 0 47 54 0 0 -1 48 49 0 0 0 49 56 0 0 0 50 52 0 0 0 51 54 0 0 -1 51 56 1 -1 -1 53 55 0 1 0 55 56 1 -2 -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
2297d817c31045a37fd35b8231a6574a (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 F4132, 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 37.7.73 6 12 18 30 45 69 93 120 162
1 3 37.7.73 6 12 18 30 45 69 93 120 162
2 3 37.7.73 6 12 18 30 45 69 93 120 162
3 3 37.7.73 6 12 18 30 45 69 93 120 162
4 3 37.7.73 6 12 18 30 45 69 93 120 162
5 3 37.7.73 6 12 18 30 45 69 93 120 162
6 3 37.7.73 6 12 18 30 45 69 93 120 162
7 3 37.7.73 6 12 18 30 45 69 93 120 162
8 3 37.7.73 6 12 18 30 45 69 93 120 162
9 3 37.7.73 6 12 18 30 45 69 93 120 162
10 3 37.7.73 6 12 18 30 45 69 93 120 162
11 3 37.7.73 6 12 18 30 45 69 93 120 162
12 3 37.7.73 6 12 18 30 45 69 93 120 162
13 3 37.7.73 6 12 18 30 45 69 93 120 162
14 3 37.7.73 6 12 18 30 45 69 93 120 162
15 3 37.7.73 6 12 18 30 45 69 93 120 162
16 3 37.7.73 6 12 18 30 45 69 93 120 162
17 3 37.7.73 6 12 18 30 45 69 93 120 162
18 3 37.7.73 6 12 18 30 45 69 93 120 162
19 3 37.7.73 6 12 18 30 45 69 93 120 162
20 3 37.7.73 6 12 18 30 45 69 93 120 162
21 3 37.7.73 6 12 18 30 45 69 93 120 162
22 3 37.7.73 6 12 18 30 45 69 93 120 162
23 3 37.7.73 6 12 18 30 45 69 93 120 162
24 3 37.7.73 6 12 18 30 45 69 93 120 162
25 3 37.7.73 6 12 18 30 45 69 93 120 162
26 3 37.7.73 6 12 18 30 45 69 93 120 162
27 3 37.7.73 6 12 18 30 45 69 93 120 162
28 3 37.7.73 6 12 18 30 45 69 93 120 162
29 3 37.7.73 6 12 18 30 45 69 93 120 162
30 3 37.7.73 6 12 18 30 45 69 93 120 162
31 3 37.7.73 6 12 18 30 45 69 93 120 162
32 3 17.7.73 6 12 18 30 44 68 92 127 159
33 3 17.7.73 6 12 18 30 44 68 92 127 159
34 3 17.7.73 6 12 18 30 44 68 92 127 159
35 3 17.7.73 6 12 18 30 44 68 92 127 159
36 3 17.7.73 6 12 18 30 44 68 92 127 159
37 3 17.7.73 6 12 18 30 44 68 92 127 159
38 3 17.7.73 6 12 18 30 44 68 92 127 159
39 3 17.7.73 6 12 18 30 44 68 92 127 159
40 3 17.7.73 6 12 18 30 44 68 92 127 159
41 3 17.7.73 6 12 18 30 44 68 92 127 159
42 3 17.7.73 6 12 18 30 44 68 92 127 159
43 3 17.7.73 6 12 18 30 44 68 92 127 159
44 3 17.7.73 6 12 18 30 44 68 92 127 159
45 3 17.7.73 6 12 18 30 44 68 92 127 159
46 3 17.7.73 6 12 18 30 44 68 92 127 159
47 3 17.7.73 6 12 18 30 44 68 92 127 159
48 3 17.7.73 6 12 18 30 44 68 92 127 159
49 3 17.7.73 6 12 18 30 44 68 92 127 159
50 3 17.7.73 6 12 18 30 44 68 92 127 159
51 3 17.7.73 6 12 18 30 44 68 92 127 159
52 3 17.7.73 6 12 18 30 44 68 92 127 159
53 3 17.7.73 6 12 18 30 44 68 92 127 159
54 3 17.7.73 6 12 18 30 44 68 92 127 159
55 3 17.7.73 6 12 18 30 44 68 92 127 159
56 3 17.7.73 6 12 18 30 44 68 92 127 159
57 3 17.7.73 6 12 18 30 44 68 92 127 159
58 3 17.7.73 6 12 18 30 44 68 92 127 159
59 3 17.7.73 6 12 18 30 44 68 92 127 159
60 3 17.7.73 6 12 18 30 44 68 92 127 159
61 3 17.7.73 6 12 18 30 44 68 92 127 159
62 3 17.7.73 6 12 18 30 44 68 92 127 159
63 3 17.7.73 6 12 18 30 44 68 92 127 159
64 3 17.7.73 6 12 18 30 44 68 92 127 159
65 3 17.7.73 6 12 18 30 44 68 92 127 159
66 3 17.7.73 6 12 18 30 44 68 92 127 159
67 3 17.7.73 6 12 18 30 44 68 92 127 159
68 3 17.7.73 6 12 18 30 44 68 92 127 159
69 3 17.7.73 6 12 18 30 44 68 92 127 159
70 3 17.7.73 6 12 18 30 44 68 92 127 159
71 3 17.7.73 6 12 18 30 44 68 92 127 159
72 3 17.7.73 6 12 18 30 44 68 92 127 159
73 3 17.7.73 6 12 18 30 44 68 92 127 159
74 3 17.7.73 6 12 18 30 44 68 92 127 159
75 3 17.7.73 6 12 18 30 44 68 92 127 159
76 3 17.7.73 6 12 18 30 44 68 92 127 159
77 3 17.7.73 6 12 18 30 44 68 92 127 159
78 3 17.7.73 6 12 18 30 44 68 92 127 159
79 3 17.7.73 6 12 18 30 44 68 92 127 159
80 3 17.7.73 6 12 18 30 44 68 92 127 159
81 3 17.7.73 6 12 18 30 44 68 92 127 159
82 3 17.7.73 6 12 18 30 44 68 92 127 159
83 3 17.7.73 6 12 18 30 44 68 92 127 159
84 3 17.7.73 6 12 18 30 44 68 92 127 159
85 3 17.7.73 6 12 18 30 44 68 92 127 159
86 3 17.7.73 6 12 18 30 44 68 92 127 159
87 3 17.7.73 6 12 18 30 44 68 92 127 159
88 3 17.7.73 6 12 18 30 44 68 92 127 159
89 3 17.7.73 6 12 18 30 44 68 92 127 159
90 3 17.7.73 6 12 18 30 44 68 92 127 159
91 3 17.7.73 6 12 18 30 44 68 92 127 159
92 3 17.7.73 6 12 18 30 44 68 92 127 159
93 3 17.7.73 6 12 18 30 44 68 92 127 159
94 3 17.7.73 6 12 18 30 44 68 92 127 159
95 3 17.7.73 6 12 18 30 44 68 92 127 159
96 3 17.7.73 6 12 18 30 44 68 92 127 159
97 3 17.7.73 6 12 18 30 44 68 92 127 159
98 3 17.7.73 6 12 18 30 44 68 92 127 159
99 3 17.7.73 6 12 18 30 44 68 92 127 159
100 3 17.7.73 6 12 18 30 44 68 92 127 159
101 3 17.7.73 6 12 18 30 44 68 92 127 159
102 3 17.7.73 6 12 18 30 44 68 92 127 159
103 3 17.7.73 6 12 18 30 44 68 92 127 159
104 3 17.7.73 6 12 18 30 44 68 92 127 159
105 3 17.7.73 6 12 18 30 44 68 92 127 159
106 3 17.7.73 6 12 18 30 44 68 92 127 159
107 3 17.7.73 6 12 18 30 44 68 92 127 159
108 3 17.7.73 6 12 18 30 44 68 92 127 159
109 3 17.7.73 6 12 18 30 44 68 92 127 159
110 3 17.7.73 6 12 18 30 44 68 92 127 159
111 3 17.7.73 6 12 18 30 44 68 92 127 159
112 3 17.7.73 6 12 18 30 44 68 92 127 159
113 3 17.7.73 6 12 18 30 44 68 92 127 159
114 3 17.7.73 6 12 18 30 44 68 92 127 159
115 3 17.7.73 6 12 18 30 44 68 92 127 159
116 3 17.7.73 6 12 18 30 44 68 92 127 159
117 3 17.7.73 6 12 18 30 44 68 92 127 159
118 3 17.7.73 6 12 18 30 44 68 92 127 159
119 3 17.7.73 6 12 18 30 44 68 92 127 159
120 3 17.7.73 6 12 18 30 44 68 92 127 159
121 3 17.7.73 6 12 18 30 44 68 92 127 159
122 3 17.7.73 6 12 18 30 44 68 92 127 159
123 3 17.7.73 6 12 18 30 44 68 92 127 159
124 3 17.7.73 6 12 18 30 44 68 92 127 159
125 3 17.7.73 6 12 18 30 44 68 92 127 159
126 3 17.7.73 6 12 18 30 44 68 92 127 159
127 3 17.7.73 6 12 18 30 44 68 92 127 159
128 3 17.7.73 6 12 18 30 44 69 91 121 156
129 3 17.7.73 6 12 18 30 44 69 91 121 156
130 3 17.7.73 6 12 18 30 44 69 91 121 156
131 3 17.7.73 6 12 18 30 44 69 91 121 156
132 3 17.7.73 6 12 18 30 44 69 91 121 156
133 3 17.7.73 6 12 18 30 44 69 91 121 156
134 3 17.7.73 6 12 18 30 44 69 91 121 156
135 3 17.7.73 6 12 18 30 44 69 91 121 156
136 3 17.7.73 6 12 18 30 44 69 91 121 156
137 3 17.7.73 6 12 18 30 44 69 91 121 156
138 3 17.7.73 6 12 18 30 44 69 91 121 156
139 3 17.7.73 6 12 18 30 44 69 91 121 156
140 3 17.7.73 6 12 18 30 44 69 91 121 156
141 3 17.7.73 6 12 18 30 44 69 91 121 156
142 3 17.7.73 6 12 18 30 44 69 91 121 156
143 3 17.7.73 6 12 18 30 44 69 91 121 156
144 3 17.7.73 6 12 18 30 44 69 91 121 156
145 3 17.7.73 6 12 18 30 44 69 91 121 156
146 3 17.7.73 6 12 18 30 44 69 91 121 156
147 3 17.7.73 6 12 18 30 44 69 91 121 156
148 3 17.7.73 6 12 18 30 44 69 91 121 156
149 3 17.7.73 6 12 18 30 44 69 91 121 156
150 3 17.7.73 6 12 18 30 44 69 91 121 156
151 3 17.7.73 6 12 18 30 44 69 91 121 156
152 3 17.7.73 6 12 18 30 44 69 91 121 156
153 3 17.7.73 6 12 18 30 44 69 91 121 156
154 3 17.7.73 6 12 18 30 44 69 91 121 156
155 3 17.7.73 6 12 18 30 44 69 91 121 156
156 3 17.7.73 6 12 18 30 44 69 91 121 156
157 3 17.7.73 6 12 18 30 44 69 91 121 156
158 3 17.7.73 6 12 18 30 44 69 91 121 156
159 3 17.7.73 6 12 18 30 44 69 91 121 156
160 3 17.7.73 6 12 18 30 44 69 91 121 156
161 3 17.7.73 6 12 18 30 44 69 91 121 156
162 3 17.7.73 6 12 18 30 44 69 91 121 156
163 3 17.7.73 6 12 18 30 44 69 91 121 156
164 3 17.7.73 6 12 18 30 44 69 91 121 156
165 3 17.7.73 6 12 18 30 44 69 91 121 156
166 3 17.7.73 6 12 18 30 44 69 91 121 156
167 3 17.7.73 6 12 18 30 44 69 91 121 156
168 3 17.7.73 6 12 18 30 44 69 91 121 156
169 3 17.7.73 6 12 18 30 44 69 91 121 156
170 3 17.7.73 6 12 18 30 44 69 91 121 156
171 3 17.7.73 6 12 18 30 44 69 91 121 156
172 3 17.7.73 6 12 18 30 44 69 91 121 156
173 3 17.7.73 6 12 18 30 44 69 91 121 156
174 3 17.7.73 6 12 18 30 44 69 91 121 156
175 3 17.7.73 6 12 18 30 44 69 91 121 156
176 3 17.7.73 6 12 18 30 44 69 91 121 156
177 3 17.7.73 6 12 18 30 44 69 91 121 156
178 3 17.7.73 6 12 18 30 44 69 91 121 156
179 3 17.7.73 6 12 18 30 44 69 91 121 156
180 3 17.7.73 6 12 18 30 44 69 91 121 156
181 3 17.7.73 6 12 18 30 44 69 91 121 156
182 3 17.7.73 6 12 18 30 44 69 91 121 156
183 3 17.7.73 6 12 18 30 44 69 91 121 156
184 3 17.7.73 6 12 18 30 44 69 91 121 156
185 3 17.7.73 6 12 18 30 44 69 91 121 156
186 3 17.7.73 6 12 18 30 44 69 91 121 156
187 3 17.7.73 6 12 18 30 44 69 91 121 156
188 3 17.7.73 6 12 18 30 44 69 91 121 156
189 3 17.7.73 6 12 18 30 44 69 91 121 156
190 3 17.7.73 6 12 18 30 44 69 91 121 156
191 3 17.7.73 6 12 18 30 44 69 91 121 156
192 3 17.7.73 6 12 18 30 44 69 91 121 156
193 3 17.7.73 6 12 18 30 44 69 91 121 156
194 3 17.7.73 6 12 18 30 44 69 91 121 156
195 3 17.7.73 6 12 18 30 44 69 91 121 156
196 3 17.7.73 6 12 18 30 44 69 91 121 156
197 3 17.7.73 6 12 18 30 44 69 91 121 156
198 3 17.7.73 6 12 18 30 44 69 91 121 156
199 3 17.7.73 6 12 18 30 44 69 91 121 156
200 3 17.7.73 6 12 18 30 44 69 91 121 156
201 3 17.7.73 6 12 18 30 44 69 91 121 156
202 3 17.7.73 6 12 18 30 44 69 91 121 156
203 3 17.7.73 6 12 18 30 44 69 91 121 156
204 3 17.7.73 6 12 18 30 44 69 91 121 156
205 3 17.7.73 6 12 18 30 44 69 91 121 156
206 3 17.7.73 6 12 18 30 44 69 91 121 156
207 3 17.7.73 6 12 18 30 44 69 91 121 156
208 3 17.7.73 6 12 18 30 44 69 91 121 156
209 3 17.7.73 6 12 18 30 44 69 91 121 156
210 3 17.7.73 6 12 18 30 44 69 91 121 156
211 3 17.7.73 6 12 18 30 44 69 91 121 156
212 3 17.7.73 6 12 18 30 44 69 91 121 156
213 3 17.7.73 6 12 18 30 44 69 91 121 156
214 3 17.7.73 6 12 18 30 44 69 91 121 156
215 3 17.7.73 6 12 18 30 44 69 91 121 156
216 3 17.7.73 6 12 18 30 44 69 91 121 156
217 3 17.7.73 6 12 18 30 44 69 91 121 156
218 3 17.7.73 6 12 18 30 44 69 91 121 156
219 3 17.7.73 6 12 18 30 44 69 91 121 156
220 3 17.7.73 6 12 18 30 44 69 91 121 156
221 3 17.7.73 6 12 18 30 44 69 91 121 156
222 3 17.7.73 6 12 18 30 44 69 91 121 156
223 3 17.7.73 6 12 18 30 44 69 91 121 156

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)
F4132 (No. 210)
Transitivity p, q (mofplus-deposit)
3, 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)
24
Repeat-unit factor (mofplus-deposit)
4
RCSR identification (mofplus-deposit)
kgr
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 27 1 0 0 16 30 0 0 0 17 31 0 0 0 17 32 0 0 0 18 21 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 22 25 0 1 0 22 38 0 0 0 23 34 1 -1 0 23 39 0 0 0 24 37 0 -1 0 24 40 0 0 0 25 26 0 0 0 26 41 0 0 0 27 31 -1 0 0 28 42 0 0 0 28 43 0 0 0 29 44 0 0 0 29 45 0 0 0 30 46 0 0 0 30 47 0 0 0 31 42 1 0 0 32 38 0 0 1 32 48 0 0 0 33 44 -1 2 1 33 49 0 0 0 34 50 0 0 0 35 51 0 0 0 35 52 0 0 0 36 38 0 0 0 36 53 0 0 0 37 52 0 1 1 39 40 0 0 0 39 43 1 -1 0 40 54 0 0 0 41 47 -1 0 0 41 48 0 -1 -1 42 53 -1 0 1 43 46 -1 1 1 44 50 1 -1 0 45 46 0 0 0 45 55 0 0 0 47 54 0 0 -1 48 49 0 0 0 49 56 0 0 0 50 52 0 0 0 51 54 0 0 -1 51 56 1 -1 -1 53 55 0 1 0 55 56 1 -2 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
556
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)
556.0
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)
556.0
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, 317.7.7 7.7.7 7^3 3 6 12 18 30 45 69 93 120 162
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, 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, 1277.7.7 7.7.7 7^3 3 6 12 18 30 44 68 92 127 159
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 18 30 44 69 91 121 156

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, 3, 4, 5, 10, 12, 15, 16, 20, 21, 29, 30, 33, 34, 36, 37, 38, 42, 44, 47, 48, 49, 50, 547.7.7 7.7.7 7^3 3 6 12 18 30 44 69 91 121 156
1, 9, 22, 26, 31, 45, 51, 557.7.7 7.7.7 7^3 3 6 12 18 30 45 69 93 120 162
2, 6, 7, 8, 11, 13, 14, 17, 18, 19, 23, 24, 25, 27, 28, 32, 35, 39, 40, 41, 43, 46, 52, 537.7.7 7.7.7 7^3 3 6 12 18 30 44 68 92 127 159

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
kgr
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
1124 (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
2355 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.