Net topology

odk

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

JSON · mfpx

104 vertices and 208 edges in the unit cell. 64 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
P42/mnm (No. 136)
Cell lengths
a = 3.7210 Å, b = 3.7210 Å, c = 11.5276 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
104
Transitivity pqrs
11, 19, *, *
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 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 9 0 0 0 3 10 0 0 0 3 11 0 0 0 4 12 0 0 0 4 13 0 0 0 4 14 0 0 0 5 15 0 0 0 5 16 0 0 0 5 17 0 0 0 6 9 0 0 0 6 16 1 0 0 6 18 0 0 0 7 12 0 0 0 7 19 0 0 0 7 20 0 0 0 8 15 0 0 0 8 21 0 0 0 8 22 0 0 0 9 23 0 0 0 9 24 0 0 0 10 13 0 0 0 10 25 0 0 0 10 26 0 0 0 11 27 0 0 0 11 28 0 0 0 11 29 0 0 0 12 22 0 1 0 12 30 0 0 0 13 31 0 0 0 13 32 0 0 0 14 16 0 0 0 14 33 0 0 0 14 34 0 0 0 15 30 0 -1 0 15 35 0 0 0 16 19 -1 0 0 17 18 -1 0 0 17 29 0 0 0 17 33 0 -1 0 18 22 0 0 0 18 31 0 -1 0 19 36 0 0 0 19 37 0 0 0 20 21 0 0 0 20 38 0 0 0 20 39 0 0 0 21 40 0 0 0 21 41 0 0 0 22 37 0 -1 0 23 25 0 0 0 23 34 1 0 0 23 42 0 0 0 24 27 0 0 0 24 31 0 -1 0 24 43 0 0 0 25 44 0 0 0 25 45 0 0 0 26 28 0 0 0 26 46 0 0 0 26 47 0 0 0 27 32 0 -1 0 27 48 0 0 0 28 49 0 0 0 28 50 0 0 0 29 34 0 -1 0 29 44 -1 -1 0 30 33 0 0 0 30 51 0 0 0 31 44 0 0 0 32 34 0 0 0 32 47 0 0 0 33 37 -1 0 0 35 36 -1 0 0 35 41 0 0 0 35 52 0 0 0 36 38 0 0 0 36 53 0 0 0 37 54 0 0 0 38 55 0 0 0 38 56 0 0 0 39 51 0 0 0 39 57 0 0 0 39 58 0 0 0 40 54 0 -1 0 40 55 0 0 0 40 59 0 0 0 41 58 0 0 0 41 60 0 0 0 42 43 0 0 0 42 47 1 0 0 42 61 0 0 0 43 50 1 0 0 43 62 0 0 0 44 50 1 1 0 45 46 0 0 0 45 61 0 0 0 45 63 0 0 0 46 64 0 0 0 46 65 0 0 0 47 66 0 0 0 48 49 0 0 0 48 62 0 0 0 48 66 0 -1 0 49 65 0 0 0 49 67 0 0 0 50 63 -1 -1 0 51 52 0 1 0 51 54 -1 0 0 52 55 -1 0 0 52 68 0 0 0 53 54 0 0 0 53 58 1 0 0 53 69 0 0 0 55 70 0 0 0 56 57 0 0 0 56 69 0 0 0 56 71 0 0 0 57 68 0 1 0 57 72 0 0 0 58 73 0 0 0 59 60 0 0 0 59 69 0 -1 0 59 74 0 0 0 60 68 0 0 0 60 75 0 0 0 61 76 0 0 0 61 77 0 0 0 62 77 0 0 0 62 78 0 0 0 63 67 1 1 0 63 78 0 1 0 64 66 0 0 0 64 78 0 1 0 64 79 0 0 0 65 77 0 0 0 65 80 0 0 0 66 76 -1 0 0 67 76 -1 -1 0 67 81 0 0 0 68 82 0 0 0 69 83 0 0 0 70 71 0 0 0 70 74 0 0 0 70 82 1 0 0 71 84 0 0 0 71 85 0 0 0 72 73 0 0 0 72 85 0 0 0 72 86 0 0 0 73 75 0 0 0 73 83 -1 0 0 74 87 0 0 0 74 88 0 0 0 75 88 0 0 0 75 89 0 0 0 76 90 0 0 0 77 91 0 0 0 78 92 0 0 0 79 80 0 0 0 79 90 -1 0 0 79 93 0 0 0 80 94 0 0 0 80 95 0 0 0 81 92 -1 0 0 81 95 0 0 0 81 96 0 0 0 82 86 0 -1 0 82 89 0 0 0 83 84 0 0 0 83 87 0 1 0 84 89 1 0 0 84 97 0 0 0 85 88 0 0 0 85 98 0 0 0 86 87 -1 1 0 86 99 0 0 0 87 100 0 0 0 88 101 0 0 0 89 102 0 0 0 90 96 1 1 0 90 103 0 0 0 91 92 0 0 0 91 94 0 0 0 91 103 0 0 0 92 104 0 0 0 93 98 0 0 1 93 99 0 0 1 93 104 0 1 0 94 98 0 0 1 94 101 0 0 1 95 102 0 0 1 95 103 -1 0 0 96 99 0 -1 1 96 100 -1 0 1 97 98 0 0 0 97 100 0 1 0 97 103 0 0 -1 99 102 0 1 0 100 104 0 0 -1 101 102 0 0 0 101 104 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
a880d9f27d5607e26ef62ff430a9bb1d (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: 104 of 104 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. 104 of 104 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 P42/mnm, 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 4 m5.5.5.5.5.54 12 24 38 64 103 130 171 232 290
1 4 m5.5.5.5.5.54 12 24 38 64 103 130 171 232 290
2 4 m5.5.5.5.5.54 12 24 38 64 103 130 171 232 290
3 4 m5.5.5.5.5.54 12 24 38 64 103 130 171 232 290
4 4 m5.5.5.5.5.54 12 24 38 64 103 130 171 232 290
5 4 m5.5.5.5.5.54 12 24 38 64 103 130 171 232 290
6 4 m5.5.5.5.5.54 12 24 38 64 103 130 171 232 290
7 4 m5.5.5.5.5.54 12 24 38 64 103 130 171 232 290
8 4 m5.5.5.5.5.64 12 25 44 72 103 145 186 235 291
9 4 m5.5.5.5.5.64 12 25 44 72 103 145 186 235 291
10 4 m5.5.5.5.5.64 12 25 44 72 103 145 186 235 291
11 4 m5.5.5.5.5.64 12 25 44 72 103 145 186 235 291
12 4 m5.5.5.5.5.64 12 25 44 72 103 145 186 235 291
13 4 m5.5.5.5.5.64 12 25 44 72 103 145 186 235 291
14 4 m5.5.5.5.5.64 12 25 44 72 103 145 186 235 291
15 4 m5.5.5.5.5.64 12 25 44 72 103 145 186 235 291
16 4 mm25.5.5.5.5.64 12 25 42 64 92 134 177 240 292
17 4 mm25.5.5.5.5.64 12 25 42 64 92 134 177 240 292
18 4 mm25.5.5.5.5.64 12 25 42 64 92 134 177 240 292
19 4 mm25.5.5.5.5.64 12 25 42 64 92 134 177 240 292
20 4 m5.5.5.5.5.64 12 25 43 68 99 137 184 233 292
21 4 m5.5.5.5.5.64 12 25 43 68 99 137 184 233 292
22 4 m5.5.5.5.5.64 12 25 43 68 99 137 184 233 292
23 4 m5.5.5.5.5.64 12 25 43 68 99 137 184 233 292
24 4 m5.5.5.5.5.64 12 25 43 68 99 137 184 233 292
25 4 m5.5.5.5.5.64 12 25 43 68 99 137 184 233 292
26 4 m5.5.5.5.5.64 12 25 43 68 99 137 184 233 292
27 4 m5.5.5.5.5.64 12 25 43 68 99 137 184 233 292
28 4 -45.5.5.5.5.54 12 24 44 76 104 136 190 240 292
29 4 -45.5.5.5.5.54 12 24 44 76 104 136 190 240 292
30 4 -45.5.5.5.5.54 12 24 44 76 104 136 190 240 292
31 4 -45.5.5.5.5.54 12 24 44 76 104 136 190 240 292
32 4 m5.5.5.5.5.64 12 25 42 66 94 126 183 238 290
33 4 m5.5.5.5.5.64 12 25 42 66 94 126 183 238 290
34 4 m5.5.5.5.5.64 12 25 42 66 94 126 183 238 290
35 4 m5.5.5.5.5.64 12 25 42 66 94 126 183 238 290
36 4 m5.5.5.5.5.64 12 25 42 66 94 126 183 238 290
37 4 m5.5.5.5.5.64 12 25 42 66 94 126 183 238 290
38 4 m5.5.5.5.5.64 12 25 42 66 94 126 183 238 290
39 4 m5.5.5.5.5.64 12 25 42 66 94 126 183 238 290
40 4 m5.5.5.5.5.64 12 25 41 66 99 131 182 236 291
41 4 m5.5.5.5.5.64 12 25 41 66 99 131 182 236 291
42 4 m5.5.5.5.5.64 12 25 41 66 99 131 182 236 291
43 4 m5.5.5.5.5.64 12 25 41 66 99 131 182 236 291
44 4 m5.5.5.5.5.64 12 25 41 66 99 131 182 236 291
45 4 m5.5.5.5.5.64 12 25 41 66 99 131 182 236 291
46 4 m5.5.5.5.5.64 12 25 41 66 99 131 182 236 291
47 4 m5.5.5.5.5.64 12 25 41 66 99 131 182 236 291
48 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
49 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
50 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
51 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
52 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
53 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
54 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
55 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
56 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
57 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
58 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
59 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
60 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
61 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
62 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
63 4 15.5.5.5.5.64 12 25 43 68 98 137 182 236 295
64 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
65 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
66 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
67 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
68 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
69 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
70 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
71 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
72 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
73 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
74 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
75 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
76 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
77 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
78 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
79 4 15.5.5.5.5.54 12 24 40 66 95 134 178 229 291
80 4 m5.5.5.5.6.64 12 26 45 73 112 145 184 239 303
81 4 m5.5.5.5.6.64 12 26 45 73 112 145 184 239 303
82 4 m5.5.5.5.6.64 12 26 45 73 112 145 184 239 303
83 4 m5.5.5.5.6.64 12 26 45 73 112 145 184 239 303
84 4 m5.5.5.5.6.64 12 26 45 73 112 145 184 239 303
85 4 m5.5.5.5.6.64 12 26 45 73 112 145 184 239 303
86 4 m5.5.5.5.6.64 12 26 45 73 112 145 184 239 303
87 4 m5.5.5.5.6.64 12 26 45 73 112 145 184 239 303
88 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
89 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
90 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
91 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
92 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
93 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
94 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
95 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
96 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
97 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
98 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
99 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
100 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
101 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
102 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296
103 4 15.5.5.5.5.64 12 25 45 72 104 142 188 237 296

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)
P42/mnm (No. 136)
Transitivity p, q (mofplus-deposit)
11, 19 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)
16
Repeat-unit factor (mofplus-deposit)
1
RCSR identification (mofplus-deposit)
odk
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 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 9 0 0 0 3 10 0 0 0 3 11 0 0 0 4 12 0 0 0 4 13 0 0 0 4 14 0 0 0 5 15 0 0 0 5 16 0 0 0 5 17 0 0 0 6 9 0 0 0 6 16 1 0 0 6 18 0 0 0 7 12 0 0 0 7 19 0 0 0 7 20 0 0 0 8 15 0 0 0 8 21 0 0 0 8 22 0 0 0 9 23 0 0 0 9 24 0 0 0 10 13 0 0 0 10 25 0 0 0 10 26 0 0 0 11 27 0 0 0 11 28 0 0 0 11 29 0 0 0 12 22 0 1 0 12 30 0 0 0 13 31 0 0 0 13 32 0 0 0 14 16 0 0 0 14 33 0 0 0 14 34 0 0 0 15 30 0 -1 0 15 35 0 0 0 16 19 -1 0 0 17 18 -1 0 0 17 29 0 0 0 17 33 0 -1 0 18 22 0 0 0 18 31 0 -1 0 19 36 0 0 0 19 37 0 0 0 20 21 0 0 0 20 38 0 0 0 20 39 0 0 0 21 40 0 0 0 21 41 0 0 0 22 37 0 -1 0 23 25 0 0 0 23 34 1 0 0 23 42 0 0 0 24 27 0 0 0 24 31 0 -1 0 24 43 0 0 0 25 44 0 0 0 25 45 0 0 0 26 28 0 0 0 26 46 0 0 0 26 47 0 0 0 27 32 0 -1 0 27 48 0 0 0 28 49 0 0 0 28 50 0 0 0 29 34 0 -1 0 29 44 -1 -1 0 30 33 0 0 0 30 51 0 0 0 31 44 0 0 0 32 34 0 0 0 32 47 0 0 0 33 37 -1 0 0 35 36 -1 0 0 35 41 0 0 0 35 52 0 0 0 36 38 0 0 0 36 53 0 0 0 37 54 0 0 0 38 55 0 0 0 38 56 0 0 0 39 51 0 0 0 39 57 0 0 0 39 58 0 0 0 40 54 0 -1 0 40 55 0 0 0 40 59 0 0 0 41 58 0 0 0 41 60 0 0 0 42 43 0 0 0 42 47 1 0 0 42 61 0 0 0 43 50 1 0 0 43 62 0 0 0 44 50 1 1 0 45 46 0 0 0 45 61 0 0 0 45 63 0 0 0 46 64 0 0 0 46 65 0 0 0 47 66 0 0 0 48 49 0 0 0 48 62 0 0 0 48 66 0 -1 0 49 65 0 0 0 49 67 0 0 0 50 63 -1 -1 0 51 52 0 1 0 51 54 -1 0 0 52 55 -1 0 0 52 68 0 0 0 53 54 0 0 0 53 58 1 0 0 53 69 0 0 0 55 70 0 0 0 56 57 0 0 0 56 69 0 0 0 56 71 0 0 0 57 68 0 1 0 57 72 0 0 0 58 73 0 0 0 59 60 0 0 0 59 69 0 -1 0 59 74 0 0 0 60 68 0 0 0 60 75 0 0 0 61 76 0 0 0 61 77 0 0 0 62 77 0 0 0 62 78 0 0 0 63 67 1 1 0 63 78 0 1 0 64 66 0 0 0 64 78 0 1 0 64 79 0 0 0 65 77 0 0 0 65 80 0 0 0 66 76 -1 0 0 67 76 -1 -1 0 67 81 0 0 0 68 82 0 0 0 69 83 0 0 0 70 71 0 0 0 70 74 0 0 0 70 82 1 0 0 71 84 0 0 0 71 85 0 0 0 72 73 0 0 0 72 85 0 0 0 72 86 0 0 0 73 75 0 0 0 73 83 -1 0 0 74 87 0 0 0 74 88 0 0 0 75 88 0 0 0 75 89 0 0 0 76 90 0 0 0 77 91 0 0 0 78 92 0 0 0 79 80 0 0 0 79 90 -1 0 0 79 93 0 0 0 80 94 0 0 0 80 95 0 0 0 81 92 -1 0 0 81 95 0 0 0 81 96 0 0 0 82 86 0 -1 0 82 89 0 0 0 83 84 0 0 0 83 87 0 1 0 84 89 1 0 0 84 97 0 0 0 85 88 0 0 0 85 98 0 0 0 86 87 -1 1 0 86 99 0 0 0 87 100 0 0 0 88 101 0 0 0 89 102 0 0 0 90 96 1 1 0 90 103 0 0 0 91 92 0 0 0 91 94 0 0 0 91 103 0 0 0 92 104 0 0 0 93 98 0 0 1 93 99 0 0 1 93 104 0 1 0 94 98 0 0 1 94 101 0 0 1 95 102 0 0 1 95 103 -1 0 0 96 99 0 -1 1 96 100 -1 0 1 97 98 0 0 0 97 100 0 1 0 97 103 0 0 -1 99 102 0 1 0 100 104 0 0 -1 101 102 0 0 0 101 104 0 0 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1100
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)
1100.2307692307693
Genus (mofplus-deposit)
105
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)
1100.2307692307693
Genus (rcsr-archive-key)
105
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)
(5^4.6^2)2(5^5.6)17(5^6)7
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, 75.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 38 64 103 130 171 232 290
8, 9, 10, 11, 12, 13, 14, 155.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 44 72 103 145 186 235 291
16, 17, 18, 195.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 64 92 134 177 240 292
20, 21, 22, 23, 24, 25, 26, 275.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 68 99 137 184 233 292
28, 29, 30, 315.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 44 76 104 136 190 240 292
32, 33, 34, 35, 36, 37, 38, 395.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 66 94 126 183 238 290
40, 41, 42, 43, 44, 45, 46, 475.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 41 66 99 131 182 236 291
48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 635.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 68 98 137 182 236 295
64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 795.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 66 95 134 178 229 291
80, 81, 82, 83, 84, 85, 86, 875.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 45 73 112 145 184 239 303
88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 1035.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 45 72 104 142 188 237 296

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

Net point symbol (rcsr-archive-key)
(5^4.6^2)2(5^5.6)17(5^6)7
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, 5, 6, 7, 13, 16, 29, 36, 79, 80, 89, 90, 97, 98, 99, 1005.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 45 72 104 142 188 237 296
1, 32, 93, 955.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 44 76 104 136 190 240 292
2, 8, 19, 20, 28, 33, 50, 53, 64, 66, 75, 76, 84, 85, 86, 875.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 68 98 137 182 236 295
3, 14, 17, 18, 78, 91, 96, 1015.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 44 72 103 145 186 235 291
4, 11, 15, 21, 92, 94, 102, 1035.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 45 73 112 145 184 239 303
9, 23, 31, 37, 40, 43, 45, 51, 52, 61, 62, 65, 70, 74, 81, 825.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 66 95 134 178 229 291
10, 22, 38, 39, 48, 60, 71, 735.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 41 66 99 131 182 236 291
12, 30, 34, 35, 63, 77, 83, 885.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 68 99 137 184 233 292
24, 26, 44, 47, 54, 57, 69, 725.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 38 64 103 130 171 232 290
25, 42, 46, 49, 55, 59, 67, 685.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 66 94 126 183 238 290
27, 41, 56, 585.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 64 92 134 177 240 292

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 104 of 104 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 104 of 104 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
odk
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
1493 (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
2205 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.