Net topology

kgj

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
F4132 (No. 210)
Cell lengths
a = 7.9906 Å, b = 7.9906 Å, c = 7.9906 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 19 0 0 0 13 26 0 0 0 14 27 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 36 0 0 0 20 37 0 0 0 21 38 0 0 0 21 39 0 0 0 22 40 0 0 0 23 41 0 0 0 23 42 0 0 0 24 33 2 -1 0 24 43 0 0 0 25 27 0 0 0 25 36 0 1 1 26 41 0 0 1 26 44 0 0 0 27 45 0 0 0 28 46 0 0 0 28 47 0 0 0 29 39 1 0 0 29 48 0 0 0 30 47 1 0 0 30 49 0 0 0 31 32 0 0 0 31 35 -1 1 0 32 37 -1 1 0 33 42 -2 1 0 34 43 -2 1 0 34 46 -1 1 0 35 50 0 0 0 36 38 0 0 0 37 51 0 0 0 38 52 0 0 0 39 53 0 0 0 40 48 -1 0 0 40 54 0 0 0 41 53 1 0 0 42 55 0 0 0 43 52 0 1 1 44 46 0 0 0 44 54 1 -1 0 45 49 -1 0 0 45 51 0 1 1 47 56 0 0 0 48 49 0 0 0 50 53 1 0 1 50 56 2 -1 0 51 55 -1 0 0 52 56 1 -1 -1 54 55 -1 1 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
ae24b060e2715318fd73962cbfe7d21d (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 17.7.73 6 12 18 30 44 64 84 125 161
1 3 17.7.73 6 12 18 30 44 64 84 125 161
2 3 17.7.73 6 12 18 30 44 64 84 125 161
3 3 17.7.73 6 12 18 30 44 64 84 125 161
4 3 17.7.73 6 12 18 30 44 64 84 125 161
5 3 17.7.73 6 12 18 30 44 64 84 125 161
6 3 17.7.73 6 12 18 30 44 64 84 125 161
7 3 17.7.73 6 12 18 30 44 64 84 125 161
8 3 17.7.73 6 12 18 30 44 64 84 125 161
9 3 17.7.73 6 12 18 30 44 64 84 125 161
10 3 17.7.73 6 12 18 30 44 64 84 125 161
11 3 17.7.73 6 12 18 30 44 64 84 125 161
12 3 17.7.73 6 12 18 30 44 64 84 125 161
13 3 17.7.73 6 12 18 30 44 64 84 125 161
14 3 17.7.73 6 12 18 30 44 64 84 125 161
15 3 17.7.73 6 12 18 30 44 64 84 125 161
16 3 17.7.73 6 12 18 30 44 64 84 125 161
17 3 17.7.73 6 12 18 30 44 64 84 125 161
18 3 17.7.73 6 12 18 30 44 64 84 125 161
19 3 17.7.73 6 12 18 30 44 64 84 125 161
20 3 17.7.73 6 12 18 30 44 64 84 125 161
21 3 17.7.73 6 12 18 30 44 64 84 125 161
22 3 17.7.73 6 12 18 30 44 64 84 125 161
23 3 17.7.73 6 12 18 30 44 64 84 125 161
24 3 17.7.73 6 12 18 30 44 64 84 125 161
25 3 17.7.73 6 12 18 30 44 64 84 125 161
26 3 17.7.73 6 12 18 30 44 64 84 125 161
27 3 17.7.73 6 12 18 30 44 64 84 125 161
28 3 17.7.73 6 12 18 30 44 64 84 125 161
29 3 17.7.73 6 12 18 30 44 64 84 125 161
30 3 17.7.73 6 12 18 30 44 64 84 125 161
31 3 17.7.73 6 12 18 30 44 64 84 125 161
32 3 17.7.73 6 12 18 30 44 64 84 125 161
33 3 17.7.73 6 12 18 30 44 64 84 125 161
34 3 17.7.73 6 12 18 30 44 64 84 125 161
35 3 17.7.73 6 12 18 30 44 64 84 125 161
36 3 17.7.73 6 12 18 30 44 64 84 125 161
37 3 17.7.73 6 12 18 30 44 64 84 125 161
38 3 17.7.73 6 12 18 30 44 64 84 125 161
39 3 17.7.73 6 12 18 30 44 64 84 125 161
40 3 17.7.73 6 12 18 30 44 64 84 125 161
41 3 17.7.73 6 12 18 30 44 64 84 125 161
42 3 17.7.73 6 12 18 30 44 64 84 125 161
43 3 17.7.73 6 12 18 30 44 64 84 125 161
44 3 17.7.73 6 12 18 30 44 64 84 125 161
45 3 17.7.73 6 12 18 30 44 64 84 125 161
46 3 17.7.73 6 12 18 30 44 64 84 125 161
47 3 17.7.73 6 12 18 30 44 64 84 125 161
48 3 17.7.73 6 12 18 30 44 64 84 125 161
49 3 17.7.73 6 12 18 30 44 64 84 125 161
50 3 17.7.73 6 12 18 30 44 64 84 125 161
51 3 17.7.73 6 12 18 30 44 64 84 125 161
52 3 17.7.73 6 12 18 30 44 64 84 125 161
53 3 17.7.73 6 12 18 30 44 64 84 125 161
54 3 17.7.73 6 12 18 30 44 64 84 125 161
55 3 17.7.73 6 12 18 30 44 64 84 125 161
56 3 17.7.73 6 12 18 30 44 64 84 125 161
57 3 17.7.73 6 12 18 30 44 64 84 125 161
58 3 17.7.73 6 12 18 30 44 64 84 125 161
59 3 17.7.73 6 12 18 30 44 64 84 125 161
60 3 17.7.73 6 12 18 30 44 64 84 125 161
61 3 17.7.73 6 12 18 30 44 64 84 125 161
62 3 17.7.73 6 12 18 30 44 64 84 125 161
63 3 17.7.73 6 12 18 30 44 64 84 125 161
64 3 17.7.73 6 12 18 30 44 64 84 125 161
65 3 17.7.73 6 12 18 30 44 64 84 125 161
66 3 17.7.73 6 12 18 30 44 64 84 125 161
67 3 17.7.73 6 12 18 30 44 64 84 125 161
68 3 17.7.73 6 12 18 30 44 64 84 125 161
69 3 17.7.73 6 12 18 30 44 64 84 125 161
70 3 17.7.73 6 12 18 30 44 64 84 125 161
71 3 17.7.73 6 12 18 30 44 64 84 125 161
72 3 17.7.73 6 12 18 30 44 64 84 125 161
73 3 17.7.73 6 12 18 30 44 64 84 125 161
74 3 17.7.73 6 12 18 30 44 64 84 125 161
75 3 17.7.73 6 12 18 30 44 64 84 125 161
76 3 17.7.73 6 12 18 30 44 64 84 125 161
77 3 17.7.73 6 12 18 30 44 64 84 125 161
78 3 17.7.73 6 12 18 30 44 64 84 125 161
79 3 17.7.73 6 12 18 30 44 64 84 125 161
80 3 17.7.73 6 12 18 30 44 64 84 125 161
81 3 17.7.73 6 12 18 30 44 64 84 125 161
82 3 17.7.73 6 12 18 30 44 64 84 125 161
83 3 17.7.73 6 12 18 30 44 64 84 125 161
84 3 17.7.73 6 12 18 30 44 64 84 125 161
85 3 17.7.73 6 12 18 30 44 64 84 125 161
86 3 17.7.73 6 12 18 30 44 64 84 125 161
87 3 17.7.73 6 12 18 30 44 64 84 125 161
88 3 17.7.73 6 12 18 30 44 64 84 125 161
89 3 17.7.73 6 12 18 30 44 64 84 125 161
90 3 17.7.73 6 12 18 30 44 64 84 125 161
91 3 17.7.73 6 12 18 30 44 64 84 125 161
92 3 17.7.73 6 12 18 30 44 64 84 125 161
93 3 17.7.73 6 12 18 30 44 64 84 125 161
94 3 17.7.73 6 12 18 30 44 64 84 125 161
95 3 17.7.73 6 12 18 30 44 64 84 125 161
96 3 17.7.73 6 12 18 30 44 63 92 127 169
97 3 17.7.73 6 12 18 30 44 63 92 127 169
98 3 17.7.73 6 12 18 30 44 63 92 127 169
99 3 17.7.73 6 12 18 30 44 63 92 127 169
100 3 17.7.73 6 12 18 30 44 63 92 127 169
101 3 17.7.73 6 12 18 30 44 63 92 127 169
102 3 17.7.73 6 12 18 30 44 63 92 127 169
103 3 17.7.73 6 12 18 30 44 63 92 127 169
104 3 17.7.73 6 12 18 30 44 63 92 127 169
105 3 17.7.73 6 12 18 30 44 63 92 127 169
106 3 17.7.73 6 12 18 30 44 63 92 127 169
107 3 17.7.73 6 12 18 30 44 63 92 127 169
108 3 17.7.73 6 12 18 30 44 63 92 127 169
109 3 17.7.73 6 12 18 30 44 63 92 127 169
110 3 17.7.73 6 12 18 30 44 63 92 127 169
111 3 17.7.73 6 12 18 30 44 63 92 127 169
112 3 17.7.73 6 12 18 30 44 63 92 127 169
113 3 17.7.73 6 12 18 30 44 63 92 127 169
114 3 17.7.73 6 12 18 30 44 63 92 127 169
115 3 17.7.73 6 12 18 30 44 63 92 127 169
116 3 17.7.73 6 12 18 30 44 63 92 127 169
117 3 17.7.73 6 12 18 30 44 63 92 127 169
118 3 17.7.73 6 12 18 30 44 63 92 127 169
119 3 17.7.73 6 12 18 30 44 63 92 127 169
120 3 17.7.73 6 12 18 30 44 63 92 127 169
121 3 17.7.73 6 12 18 30 44 63 92 127 169
122 3 17.7.73 6 12 18 30 44 63 92 127 169
123 3 17.7.73 6 12 18 30 44 63 92 127 169
124 3 17.7.73 6 12 18 30 44 63 92 127 169
125 3 17.7.73 6 12 18 30 44 63 92 127 169
126 3 17.7.73 6 12 18 30 44 63 92 127 169
127 3 17.7.73 6 12 18 30 44 63 92 127 169
128 3 17.7.73 6 12 18 30 44 63 92 127 169
129 3 17.7.73 6 12 18 30 44 63 92 127 169
130 3 17.7.73 6 12 18 30 44 63 92 127 169
131 3 17.7.73 6 12 18 30 44 63 92 127 169
132 3 17.7.73 6 12 18 30 44 63 92 127 169
133 3 17.7.73 6 12 18 30 44 63 92 127 169
134 3 17.7.73 6 12 18 30 44 63 92 127 169
135 3 17.7.73 6 12 18 30 44 63 92 127 169
136 3 17.7.73 6 12 18 30 44 63 92 127 169
137 3 17.7.73 6 12 18 30 44 63 92 127 169
138 3 17.7.73 6 12 18 30 44 63 92 127 169
139 3 17.7.73 6 12 18 30 44 63 92 127 169
140 3 17.7.73 6 12 18 30 44 63 92 127 169
141 3 17.7.73 6 12 18 30 44 63 92 127 169
142 3 17.7.73 6 12 18 30 44 63 92 127 169
143 3 17.7.73 6 12 18 30 44 63 92 127 169
144 3 17.7.73 6 12 18 30 44 63 92 127 169
145 3 17.7.73 6 12 18 30 44 63 92 127 169
146 3 17.7.73 6 12 18 30 44 63 92 127 169
147 3 17.7.73 6 12 18 30 44 63 92 127 169
148 3 17.7.73 6 12 18 30 44 63 92 127 169
149 3 17.7.73 6 12 18 30 44 63 92 127 169
150 3 17.7.73 6 12 18 30 44 63 92 127 169
151 3 17.7.73 6 12 18 30 44 63 92 127 169
152 3 17.7.73 6 12 18 30 44 63 92 127 169
153 3 17.7.73 6 12 18 30 44 63 92 127 169
154 3 17.7.73 6 12 18 30 44 63 92 127 169
155 3 17.7.73 6 12 18 30 44 63 92 127 169
156 3 17.7.73 6 12 18 30 44 63 92 127 169
157 3 17.7.73 6 12 18 30 44 63 92 127 169
158 3 17.7.73 6 12 18 30 44 63 92 127 169
159 3 17.7.73 6 12 18 30 44 63 92 127 169
160 3 17.7.73 6 12 18 30 44 63 92 127 169
161 3 17.7.73 6 12 18 30 44 63 92 127 169
162 3 17.7.73 6 12 18 30 44 63 92 127 169
163 3 17.7.73 6 12 18 30 44 63 92 127 169
164 3 17.7.73 6 12 18 30 44 63 92 127 169
165 3 17.7.73 6 12 18 30 44 63 92 127 169
166 3 17.7.73 6 12 18 30 44 63 92 127 169
167 3 17.7.73 6 12 18 30 44 63 92 127 169
168 3 17.7.73 6 12 18 30 44 63 92 127 169
169 3 17.7.73 6 12 18 30 44 63 92 127 169
170 3 17.7.73 6 12 18 30 44 63 92 127 169
171 3 17.7.73 6 12 18 30 44 63 92 127 169
172 3 17.7.73 6 12 18 30 44 63 92 127 169
173 3 17.7.73 6 12 18 30 44 63 92 127 169
174 3 17.7.73 6 12 18 30 44 63 92 127 169
175 3 17.7.73 6 12 18 30 44 63 92 127 169
176 3 17.7.73 6 12 18 30 44 63 92 127 169
177 3 17.7.73 6 12 18 30 44 63 92 127 169
178 3 17.7.73 6 12 18 30 44 63 92 127 169
179 3 17.7.73 6 12 18 30 44 63 92 127 169
180 3 17.7.73 6 12 18 30 44 63 92 127 169
181 3 17.7.73 6 12 18 30 44 63 92 127 169
182 3 17.7.73 6 12 18 30 44 63 92 127 169
183 3 17.7.73 6 12 18 30 44 63 92 127 169
184 3 17.7.73 6 12 18 30 44 63 92 127 169
185 3 17.7.73 6 12 18 30 44 63 92 127 169
186 3 17.7.73 6 12 18 30 44 63 92 127 169
187 3 17.7.73 6 12 18 30 44 63 92 127 169
188 3 17.7.73 6 12 18 30 44 63 92 127 169
189 3 17.7.73 6 12 18 30 44 63 92 127 169
190 3 17.7.73 6 12 18 30 44 63 92 127 169
191 3 17.7.73 6 12 18 30 44 63 92 127 169
192 3 37.7.73 6 12 18 30 45 60 93 120 159
193 3 37.7.73 6 12 18 30 45 60 93 120 159
194 3 37.7.73 6 12 18 30 45 60 93 120 159
195 3 37.7.73 6 12 18 30 45 60 93 120 159
196 3 37.7.73 6 12 18 30 45 60 93 120 159
197 3 37.7.73 6 12 18 30 45 60 93 120 159
198 3 37.7.73 6 12 18 30 45 60 93 120 159
199 3 37.7.73 6 12 18 30 45 60 93 120 159
200 3 37.7.73 6 12 18 30 45 60 93 120 159
201 3 37.7.73 6 12 18 30 45 60 93 120 159
202 3 37.7.73 6 12 18 30 45 60 93 120 159
203 3 37.7.73 6 12 18 30 45 60 93 120 159
204 3 37.7.73 6 12 18 30 45 60 93 120 159
205 3 37.7.73 6 12 18 30 45 60 93 120 159
206 3 37.7.73 6 12 18 30 45 60 93 120 159
207 3 37.7.73 6 12 18 30 45 60 93 120 159
208 3 37.7.73 6 12 18 30 45 60 93 120 159
209 3 37.7.73 6 12 18 30 45 60 93 120 159
210 3 37.7.73 6 12 18 30 45 60 93 120 159
211 3 37.7.73 6 12 18 30 45 60 93 120 159
212 3 37.7.73 6 12 18 30 45 60 93 120 159
213 3 37.7.73 6 12 18 30 45 60 93 120 159
214 3 37.7.73 6 12 18 30 45 60 93 120 159
215 3 37.7.73 6 12 18 30 45 60 93 120 159
216 3 37.7.73 6 12 18 30 45 60 93 120 159
217 3 37.7.73 6 12 18 30 45 60 93 120 159
218 3 37.7.73 6 12 18 30 45 60 93 120 159
219 3 37.7.73 6 12 18 30 45 60 93 120 159
220 3 37.7.73 6 12 18 30 45 60 93 120 159
221 3 37.7.73 6 12 18 30 45 60 93 120 159
222 3 37.7.73 6 12 18 30 45 60 93 120 159
223 3 37.7.73 6 12 18 30 45 60 93 120 159

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)
kgj
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 19 0 0 0 13 26 0 0 0 14 27 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 36 0 0 0 20 37 0 0 0 21 38 0 0 0 21 39 0 0 0 22 40 0 0 0 23 41 0 0 0 23 42 0 0 0 24 33 2 -1 0 24 43 0 0 0 25 27 0 0 0 25 36 0 1 1 26 41 0 0 1 26 44 0 0 0 27 45 0 0 0 28 46 0 0 0 28 47 0 0 0 29 39 1 0 0 29 48 0 0 0 30 47 1 0 0 30 49 0 0 0 31 32 0 0 0 31 35 -1 1 0 32 37 -1 1 0 33 42 -2 1 0 34 43 -2 1 0 34 46 -1 1 0 35 50 0 0 0 36 38 0 0 0 37 51 0 0 0 38 52 0 0 0 39 53 0 0 0 40 48 -1 0 0 40 54 0 0 0 41 53 1 0 0 42 55 0 0 0 43 52 0 1 1 44 46 0 0 0 44 54 1 -1 0 45 49 -1 0 0 45 51 0 1 1 47 56 0 0 0 48 49 0 0 0 50 53 1 0 1 50 56 2 -1 0 51 55 -1 0 0 52 56 1 -1 -1 54 55 -1 1 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
555
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)
555.1428571428571
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)
555.1428571428571
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 64 84 125 161
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 63 92 127 169
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 93 120 159

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, 6, 7, 11, 13, 14, 16, 18, 19, 23, 26, 34, 35, 38, 39, 41, 43, 45, 46, 47, 52, 54, 557.7.7 7.7.7 7^3 3 6 12 18 30 44 64 84 125 161
1, 4, 5, 9, 10, 12, 15, 17, 20, 21, 22, 25, 29, 30, 31, 33, 36, 37, 40, 42, 44, 48, 50, 517.7.7 7.7.7 7^3 3 6 12 18 30 44 63 92 127 169
2, 8, 24, 27, 28, 32, 49, 537.7.7 7.7.7 7^3 3 6 12 18 30 45 60 93 120 159

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
kgj
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
1116 (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
2353 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.