Net topology

odj

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

JSON · mfpx

96 vertices and 192 edges in the unit cell. 46 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
P6/mmm (No. 191)
Cell lengths
a = 3.4457 Å, b = 3.4457 Å, c = 13.6149 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 120.00°
Atoms in cell
96
Transitivity pqrs
11, 17, *, *
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 6 1 0 0 3 9 0 0 0 3 10 0 0 0 4 11 0 0 0 4 12 0 0 0 4 13 0 0 0 5 6 0 1 0 5 14 0 0 0 5 15 0 0 0 6 16 0 0 0 7 9 0 0 0 7 15 0 -1 0 7 17 0 0 0 8 10 -1 0 0 8 14 0 0 0 8 18 0 0 0 9 14 1 -1 0 9 19 0 0 0 10 15 0 0 0 10 20 0 0 0 11 16 0 0 0 11 21 0 0 0 11 22 0 0 0 12 16 1 0 0 12 23 0 0 0 12 24 0 0 0 13 16 0 1 0 13 25 0 0 0 13 26 0 0 0 14 27 0 0 0 15 28 0 0 0 17 18 0 0 0 17 29 0 0 0 17 30 0 0 0 18 31 0 0 0 18 32 0 0 0 19 20 0 0 0 19 30 0 0 0 19 33 0 0 0 20 31 1 0 0 20 34 0 0 0 21 23 0 0 0 21 26 0 -1 0 21 35 0 0 0 22 24 -1 0 0 22 25 0 0 0 22 36 0 0 0 23 25 1 -1 0 23 37 0 0 0 24 26 0 0 0 24 38 0 0 0 25 39 0 0 0 26 40 0 0 0 27 28 0 0 0 27 32 0 0 0 27 33 -1 1 0 28 29 0 1 0 28 34 0 0 0 29 41 0 0 0 29 42 0 0 0 30 43 0 0 0 30 44 0 0 0 31 41 0 0 0 31 45 0 0 0 32 44 0 0 0 32 46 0 0 0 33 41 1 0 0 33 47 0 0 0 34 44 0 0 0 34 48 0 0 0 35 36 0 0 0 35 49 0 0 0 35 50 0 0 0 36 51 0 0 0 36 52 0 0 0 37 38 0 0 0 37 50 0 0 0 37 53 0 0 0 38 51 1 0 0 38 54 0 0 0 39 40 0 0 0 39 52 0 0 0 39 53 -1 1 0 40 49 0 1 0 40 54 0 0 0 41 55 0 0 0 42 43 0 0 0 42 48 0 -1 0 42 56 0 0 0 43 47 0 0 0 43 57 0 0 0 44 58 0 0 0 45 46 0 0 0 45 48 -1 0 0 45 59 0 0 0 46 47 -1 1 0 46 60 0 0 0 47 61 0 0 0 48 62 0 0 0 49 63 0 0 0 49 64 0 0 0 50 65 0 0 0 50 66 0 0 0 51 63 0 0 0 51 67 0 0 0 52 66 0 0 0 52 68 0 0 0 53 63 1 0 0 53 69 0 0 0 54 66 0 0 0 54 70 0 0 0 55 56 0 0 0 55 59 0 0 0 55 61 -1 0 0 56 71 0 0 0 56 72 0 0 0 57 58 0 0 0 57 72 0 0 0 57 73 0 0 0 58 60 0 0 0 58 62 0 0 0 59 74 0 0 0 59 75 0 0 0 60 75 0 0 0 60 76 0 0 0 61 73 0 0 0 61 76 1 -1 0 62 71 0 1 0 62 74 1 0 0 63 77 0 0 0 64 65 0 0 0 64 70 0 -1 0 64 78 0 0 0 65 69 0 0 0 65 79 0 0 0 66 80 0 0 0 67 68 0 0 0 67 70 -1 0 0 67 81 0 0 0 68 69 -1 1 0 68 82 0 0 0 69 83 0 0 0 70 84 0 0 0 71 76 0 -1 0 71 85 0 0 0 72 75 0 0 0 72 86 0 0 0 73 74 1 0 0 73 87 0 0 0 74 88 0 0 0 75 89 0 0 0 76 90 0 0 0 77 78 0 0 0 77 81 0 0 0 77 83 -1 0 0 78 91 0 0 0 78 92 0 0 0 79 80 0 0 0 79 92 0 0 0 79 93 0 0 0 80 82 0 0 0 80 84 0 0 0 81 94 0 0 0 81 95 0 0 0 82 95 0 0 0 82 96 0 0 0 83 93 0 0 0 83 96 1 -1 0 84 91 0 1 0 84 94 1 0 0 85 86 0 0 0 85 88 1 -1 0 85 91 0 0 1 86 87 0 0 0 86 92 0 0 1 87 90 1 -1 0 87 93 0 0 1 88 89 0 0 0 88 94 0 0 1 89 90 0 0 0 89 95 0 0 1 90 96 0 0 1 91 96 0 -1 0 92 95 0 0 0 93 94 1 0 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
0ade8fac468bc4b66006acc71e25e044 (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: 96 of 96 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. 96 of 96 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 P6/mmm, 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 mm25.5.5.5.6.64 12 26 46 72 102 132 162 196 234
1 4 mm25.5.5.5.6.64 12 26 46 72 102 132 162 196 234
2 4 mm25.5.5.5.6.64 12 26 46 72 102 132 162 196 234
3 4 mm25.5.5.5.6.64 12 26 46 72 102 132 162 196 234
4 4 mm25.5.5.5.6.64 12 26 46 72 102 132 162 196 234
5 4 mm25.5.5.5.6.64 12 26 46 72 102 132 162 196 234
6 4 m5.5.5.5.5.54 12 24 38 57 86 125 168 222 289
7 4 m5.5.5.5.5.54 12 24 38 57 86 125 168 222 289
8 4 m5.5.5.5.5.54 12 24 38 57 86 125 168 222 289
9 4 m5.5.5.5.5.54 12 24 38 57 86 125 168 222 289
10 4 m5.5.5.5.5.54 12 24 38 57 86 125 168 222 289
11 4 m5.5.5.5.5.54 12 24 38 57 86 125 168 222 289
12 4 m5.5.5.5.5.54 12 24 38 57 86 125 168 222 289
13 4 m5.5.5.5.5.54 12 24 38 57 86 125 168 222 289
14 4 m5.5.5.5.5.54 12 24 38 57 86 125 168 222 289
15 4 m5.5.5.5.5.54 12 24 38 57 86 125 168 222 289
16 4 m5.5.5.5.5.54 12 24 38 57 86 125 168 222 289
17 4 m5.5.5.5.5.54 12 24 38 57 86 125 168 222 289
18 4 m5.5.5.5.5.54 12 24 40 67 93 123 159 202 246
19 4 m5.5.5.5.5.54 12 24 40 67 93 123 159 202 246
20 4 m5.5.5.5.5.54 12 24 40 67 93 123 159 202 246
21 4 m5.5.5.5.5.54 12 24 40 67 93 123 159 202 246
22 4 m5.5.5.5.5.54 12 24 40 67 93 123 159 202 246
23 4 m5.5.5.5.5.54 12 24 40 67 93 123 159 202 246
24 4 m5.5.5.5.5.54 12 24 40 67 93 123 159 202 246
25 4 m5.5.5.5.5.54 12 24 40 67 93 123 159 202 246
26 4 m5.5.5.5.5.54 12 24 40 67 93 123 159 202 246
27 4 m5.5.5.5.5.54 12 24 40 67 93 123 159 202 246
28 4 m5.5.5.5.5.54 12 24 40 67 93 123 159 202 246
29 4 m5.5.5.5.5.54 12 24 40 67 93 123 159 202 246
30 4 3m5.5.5.5.5.54 12 24 36 61 91 121 163 213 282
31 4 3m5.5.5.5.5.54 12 24 36 61 91 121 163 213 282
32 4 3m5.5.5.5.5.54 12 24 36 61 91 121 163 213 282
33 4 3m5.5.5.5.5.54 12 24 36 61 91 121 163 213 282
34 4 m5.5.5.5.5.64 12 25 43 70 107 152 207 267 338
35 4 m5.5.5.5.5.64 12 25 43 70 107 152 207 267 338
36 4 m5.5.5.5.5.64 12 25 43 70 107 152 207 267 338
37 4 m5.5.5.5.5.64 12 25 43 70 107 152 207 267 338
38 4 m5.5.5.5.5.64 12 25 43 70 107 152 207 267 338
39 4 m5.5.5.5.5.64 12 25 43 70 107 152 207 267 338
40 4 m5.5.5.5.5.64 12 25 43 70 107 152 207 267 338
41 4 m5.5.5.5.5.64 12 25 43 70 107 152 207 267 338
42 4 m5.5.5.5.5.64 12 25 43 70 107 152 207 267 338
43 4 m5.5.5.5.5.64 12 25 43 70 107 152 207 267 338
44 4 m5.5.5.5.5.64 12 25 43 70 107 152 207 267 338
45 4 m5.5.5.5.5.64 12 25 43 70 107 152 207 267 338
46 4 3m5.5.5.6.6.64 12 27 51 82 125 175 228 282 348
47 4 3m5.5.5.6.6.64 12 27 51 82 125 175 228 282 348
48 4 3m5.5.5.6.6.64 12 27 51 82 125 175 228 282 348
49 4 3m5.5.5.6.6.64 12 27 51 82 125 175 228 282 348
50 4 m5.5.5.5.5.64 12 25 44 69 96 128 164 192 238
51 4 m5.5.5.5.5.64 12 25 44 69 96 128 164 192 238
52 4 m5.5.5.5.5.64 12 25 44 69 96 128 164 192 238
53 4 m5.5.5.5.5.64 12 25 44 69 96 128 164 192 238
54 4 m5.5.5.5.5.64 12 25 44 69 96 128 164 192 238
55 4 m5.5.5.5.5.64 12 25 44 69 96 128 164 192 238
56 4 m5.5.5.5.5.64 12 25 44 69 96 128 164 192 238
57 4 m5.5.5.5.5.64 12 25 44 69 96 128 164 192 238
58 4 m5.5.5.5.5.64 12 25 44 69 96 128 164 192 238
59 4 m5.5.5.5.5.64 12 25 44 69 96 128 164 192 238
60 4 m5.5.5.5.5.64 12 25 44 69 96 128 164 192 238
61 4 m5.5.5.5.5.64 12 25 44 69 96 128 164 192 238
62 4 3m5.5.5.5.5.54 12 24 39 63 101 119 156 213 249
63 4 3m5.5.5.5.5.54 12 24 39 63 101 119 156 213 249
64 4 3m5.5.5.5.5.54 12 24 39 63 101 119 156 213 249
65 4 3m5.5.5.5.5.54 12 24 39 63 101 119 156 213 249
66 4 m5.5.5.5.5.64 12 25 40 60 86 116 161 214 267
67 4 m5.5.5.5.5.64 12 25 40 60 86 116 161 214 267
68 4 m5.5.5.5.5.64 12 25 40 60 86 116 161 214 267
69 4 m5.5.5.5.5.64 12 25 40 60 86 116 161 214 267
70 4 m5.5.5.5.5.64 12 25 40 60 86 116 161 214 267
71 4 m5.5.5.5.5.64 12 25 40 60 86 116 161 214 267
72 4 m5.5.5.5.5.64 12 25 40 60 86 116 161 214 267
73 4 m5.5.5.5.5.64 12 25 40 60 86 116 161 214 267
74 4 m5.5.5.5.5.64 12 25 40 60 86 116 161 214 267
75 4 m5.5.5.5.5.64 12 25 40 60 86 116 161 214 267
76 4 m5.5.5.5.5.64 12 25 40 60 86 116 161 214 267
77 4 m5.5.5.5.5.64 12 25 40 60 86 116 161 214 267
78 4 m5.5.5.5.5.54 12 24 38 62 91 127 180 242 309
79 4 m5.5.5.5.5.54 12 24 38 62 91 127 180 242 309
80 4 m5.5.5.5.5.54 12 24 38 62 91 127 180 242 309
81 4 m5.5.5.5.5.54 12 24 38 62 91 127 180 242 309
82 4 m5.5.5.5.5.54 12 24 38 62 91 127 180 242 309
83 4 m5.5.5.5.5.54 12 24 38 62 91 127 180 242 309
84 4 m5.5.5.5.5.54 12 24 38 62 91 127 180 242 309
85 4 m5.5.5.5.5.54 12 24 38 62 91 127 180 242 309
86 4 m5.5.5.5.5.54 12 24 38 62 91 127 180 242 309
87 4 m5.5.5.5.5.54 12 24 38 62 91 127 180 242 309
88 4 m5.5.5.5.5.54 12 24 38 62 91 127 180 242 309
89 4 m5.5.5.5.5.54 12 24 38 62 91 127 180 242 309
90 4 mm25.5.5.5.5.64 12 25 46 82 118 162 218 280 348
91 4 mm25.5.5.5.5.64 12 25 46 82 118 162 218 280 348
92 4 mm25.5.5.5.5.64 12 25 46 82 118 162 218 280 348
93 4 mm25.5.5.5.5.64 12 25 46 82 118 162 218 280 348
94 4 mm25.5.5.5.5.64 12 25 46 82 118 162 218 280 348
95 4 mm25.5.5.5.5.64 12 25 46 82 118 162 218 280 348

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)
P6/mmm (No. 191)
Transitivity p, q (mofplus-deposit)
11, 17 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)
1
RCSR identification (mofplus-deposit)
odj
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 6 1 0 0 3 9 0 0 0 3 10 0 0 0 4 11 0 0 0 4 12 0 0 0 4 13 0 0 0 5 6 0 1 0 5 14 0 0 0 5 15 0 0 0 6 16 0 0 0 7 9 0 0 0 7 15 0 -1 0 7 17 0 0 0 8 10 -1 0 0 8 14 0 0 0 8 18 0 0 0 9 14 1 -1 0 9 19 0 0 0 10 15 0 0 0 10 20 0 0 0 11 16 0 0 0 11 21 0 0 0 11 22 0 0 0 12 16 1 0 0 12 23 0 0 0 12 24 0 0 0 13 16 0 1 0 13 25 0 0 0 13 26 0 0 0 14 27 0 0 0 15 28 0 0 0 17 18 0 0 0 17 29 0 0 0 17 30 0 0 0 18 31 0 0 0 18 32 0 0 0 19 20 0 0 0 19 30 0 0 0 19 33 0 0 0 20 31 1 0 0 20 34 0 0 0 21 23 0 0 0 21 26 0 -1 0 21 35 0 0 0 22 24 -1 0 0 22 25 0 0 0 22 36 0 0 0 23 25 1 -1 0 23 37 0 0 0 24 26 0 0 0 24 38 0 0 0 25 39 0 0 0 26 40 0 0 0 27 28 0 0 0 27 32 0 0 0 27 33 -1 1 0 28 29 0 1 0 28 34 0 0 0 29 41 0 0 0 29 42 0 0 0 30 43 0 0 0 30 44 0 0 0 31 41 0 0 0 31 45 0 0 0 32 44 0 0 0 32 46 0 0 0 33 41 1 0 0 33 47 0 0 0 34 44 0 0 0 34 48 0 0 0 35 36 0 0 0 35 49 0 0 0 35 50 0 0 0 36 51 0 0 0 36 52 0 0 0 37 38 0 0 0 37 50 0 0 0 37 53 0 0 0 38 51 1 0 0 38 54 0 0 0 39 40 0 0 0 39 52 0 0 0 39 53 -1 1 0 40 49 0 1 0 40 54 0 0 0 41 55 0 0 0 42 43 0 0 0 42 48 0 -1 0 42 56 0 0 0 43 47 0 0 0 43 57 0 0 0 44 58 0 0 0 45 46 0 0 0 45 48 -1 0 0 45 59 0 0 0 46 47 -1 1 0 46 60 0 0 0 47 61 0 0 0 48 62 0 0 0 49 63 0 0 0 49 64 0 0 0 50 65 0 0 0 50 66 0 0 0 51 63 0 0 0 51 67 0 0 0 52 66 0 0 0 52 68 0 0 0 53 63 1 0 0 53 69 0 0 0 54 66 0 0 0 54 70 0 0 0 55 56 0 0 0 55 59 0 0 0 55 61 -1 0 0 56 71 0 0 0 56 72 0 0 0 57 58 0 0 0 57 72 0 0 0 57 73 0 0 0 58 60 0 0 0 58 62 0 0 0 59 74 0 0 0 59 75 0 0 0 60 75 0 0 0 60 76 0 0 0 61 73 0 0 0 61 76 1 -1 0 62 71 0 1 0 62 74 1 0 0 63 77 0 0 0 64 65 0 0 0 64 70 0 -1 0 64 78 0 0 0 65 69 0 0 0 65 79 0 0 0 66 80 0 0 0 67 68 0 0 0 67 70 -1 0 0 67 81 0 0 0 68 69 -1 1 0 68 82 0 0 0 69 83 0 0 0 70 84 0 0 0 71 76 0 -1 0 71 85 0 0 0 72 75 0 0 0 72 86 0 0 0 73 74 1 0 0 73 87 0 0 0 74 88 0 0 0 75 89 0 0 0 76 90 0 0 0 77 78 0 0 0 77 81 0 0 0 77 83 -1 0 0 78 91 0 0 0 78 92 0 0 0 79 80 0 0 0 79 92 0 0 0 79 93 0 0 0 80 82 0 0 0 80 84 0 0 0 81 94 0 0 0 81 95 0 0 0 82 95 0 0 0 82 96 0 0 0 83 93 0 0 0 83 96 1 -1 0 84 91 0 1 0 84 94 1 0 0 85 86 0 0 0 85 88 1 -1 0 85 91 0 0 1 86 87 0 0 0 86 92 0 0 1 87 90 1 -1 0 87 93 0 0 1 88 89 0 0 0 88 94 0 0 1 89 90 0 0 0 89 95 0 0 1 90 96 0 0 1 91 96 0 -1 0 92 95 0 0 0 93 94 1 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1065
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)
1065.1875
Genus (mofplus-deposit)
97
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)
1065.1875
Genus (rcsr-archive-key)
97
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)
(5^3.6^3)2(5^4.6^2)3(5^5.6)21(5^6)22
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, 55.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 46 72 102 132 162 196 234
6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 175.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 38 57 86 125 168 222 289
18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 295.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 67 93 123 159 202 246
30, 31, 32, 335.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 61 91 121 163 213 282
34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 455.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 70 107 152 207 267 338
46, 47, 48, 495.5.5.6.6.6 5.5.5.6.6.6 5^3.6^3 4 12 27 51 82 125 175 228 282 348
50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 615.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 44 69 96 128 164 192 238
62, 63, 64, 655.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 63 101 119 156 213 249
66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 775.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 40 60 86 116 161 214 267
78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 895.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 38 62 91 127 180 242 309
90, 91, 92, 93, 94, 955.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 46 82 118 162 218 280 348

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

Net point symbol (rcsr-archive-key)
(5^3.6^3)2(5^4.6^2)3(5^5.6)21(5^6)22
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, 5, 155.5.5.6.6.6 5.5.5.6.6.6 5^3.6^3 4 12 27 51 82 125 175 228 282 348
1, 2, 4, 10, 11, 125.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 46 82 118 162 218 280 348
6, 7, 8, 9, 13, 14, 20, 21, 22, 23, 24, 255.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 70 107 152 207 267 338
16, 17, 18, 19, 26, 27, 34, 35, 36, 37, 38, 395.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 38 62 91 127 180 242 309
28, 29, 30, 31, 32, 33, 48, 49, 50, 51, 52, 535.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 38 57 86 125 168 222 289
40, 43, 62, 655.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 61 91 121 163 213 282
41, 42, 44, 45, 46, 47, 63, 64, 66, 67, 68, 695.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 40 60 86 116 161 214 267
54, 57, 76, 795.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 63 101 119 156 213 249
55, 56, 58, 59, 60, 61, 77, 78, 80, 81, 82, 835.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 67 93 123 159 202 246
70, 71, 72, 73, 74, 75, 90, 91, 92, 93, 94, 955.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 44 69 96 128 164 192 238
84, 85, 86, 87, 88, 895.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 46 72 102 132 162 196 234

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 96 of 96 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 96 of 96 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
odj
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
1492 (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
2156 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.