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Net topology

bcv

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

JSON · mfpx

120 vertices and 240 edges in the unit cell. 48 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
Ia-3d (No. 230)
Cell lengths
a = 6.5430 Å, b = 6.5430 Å, c = 6.5430 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
120
Transitivity pqrs
2, 3, *, *
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 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 10 0 0 0 5 12 0 0 0 5 13 0 0 0 6 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 15 0 0 0 7 17 0 0 0 8 18 0 0 0 8 19 0 0 0 9 20 0 0 0 9 21 0 0 0 9 22 0 0 0 10 22 0 0 0 10 23 0 0 0 11 19 0 0 0 11 24 0 0 0 11 25 0 0 0 12 26 0 0 0 12 27 0 0 0 13 26 0 0 0 13 28 0 0 0 13 29 0 0 0 14 30 0 0 0 14 31 0 0 0 14 32 0 0 0 15 33 0 0 0 15 34 0 0 0 16 32 0 0 0 16 34 0 0 0 16 35 0 0 0 17 33 0 0 0 17 36 0 0 0 17 37 0 0 0 18 31 0 0 0 18 38 0 0 0 18 39 0 0 0 19 38 0 0 0 19 40 0 0 0 20 31 1 0 0 20 37 0 0 0 20 39 1 0 0 21 39 1 0 0 21 41 0 0 0 21 42 0 0 0 22 42 0 0 0 22 43 0 0 0 23 43 0 0 0 23 44 0 0 0 23 45 0 0 0 24 40 0 0 0 24 44 0 1 0 24 46 0 0 0 25 30 0 0 1 25 44 0 1 0 25 45 0 1 0 26 47 0 0 0 26 48 0 0 0 27 30 0 0 1 27 32 0 0 1 27 48 0 0 0 28 36 -1 -1 1 28 47 0 0 0 28 49 0 0 0 29 36 -1 -1 1 29 37 -1 -1 1 29 45 0 0 0 30 50 0 0 0 31 50 0 0 0 32 51 0 0 0 33 52 0 0 0 33 53 0 0 0 34 53 0 0 0 34 54 0 0 0 35 51 0 0 0 35 55 0 0 0 35 56 0 0 0 36 52 0 0 0 37 50 1 0 0 38 54 0 1 0 38 55 0 1 0 39 55 0 1 0 40 54 0 1 0 40 57 0 0 0 41 52 0 0 1 41 55 1 1 0 41 56 1 1 0 42 53 0 0 1 42 58 0 0 0 43 58 0 0 0 43 59 0 0 0 44 59 0 0 0 45 50 0 -1 1 46 51 1 1 0 46 56 1 1 0 46 59 0 1 0 47 57 -1 -1 1 47 58 -1 0 0 48 51 0 0 1 48 57 -1 -1 1 49 52 -1 -1 1 49 56 0 0 0 49 59 -1 0 0 53 60 0 0 0 54 60 0 0 0 57 60 0 1 0 58 60 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
31b94fbbfe305f55f1a9f75a42802e30 (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: 120 of 120 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. 120 of 120 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 Ia-3d, 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 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
1 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
2 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
3 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
4 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
5 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
6 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
7 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
8 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
9 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
10 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
11 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
12 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
13 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
14 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
15 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
16 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
17 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
18 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
19 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
20 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
21 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
22 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
23 4 -44.4.4.4.6(2).6(2)4 8 16 28 42 60 84 108 136 170
24 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
25 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
26 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
27 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
28 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
29 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
30 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
31 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
32 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
33 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
34 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
35 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
36 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
37 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
38 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
39 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
40 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
41 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
42 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
43 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
44 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
45 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
46 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
47 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
48 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
49 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
50 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
51 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
52 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
53 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
54 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
55 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
56 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
57 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
58 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
59 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
60 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
61 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
62 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
63 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
64 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
65 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
66 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
67 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
68 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
69 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
70 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
71 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
72 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
73 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
74 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
75 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
76 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
77 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
78 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
79 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
80 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
81 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
82 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
83 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
84 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
85 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
86 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
87 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
88 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
89 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
90 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
91 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
92 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
93 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
94 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
95 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
96 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
97 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
98 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
99 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
100 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
101 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
102 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
103 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
104 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
105 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
106 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
107 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
108 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
109 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
110 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
111 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
112 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
113 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
114 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
115 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
116 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
117 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
118 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171
119 4 14.4.4.6.6.64 9 16 27 43 62 83 109 139 171

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)
Ia-3d (No. 230)
Transitivity p, q (mofplus-deposit)
2, 3 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)
48
Repeat-unit factor (mofplus-deposit)
2
RCSR identification (mofplus-deposit)
bcv
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 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 10 0 0 0 5 12 0 0 0 5 13 0 0 0 6 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 15 0 0 0 7 17 0 0 0 8 18 0 0 0 8 19 0 0 0 9 20 0 0 0 9 21 0 0 0 9 22 0 0 0 10 22 0 0 0 10 23 0 0 0 11 19 0 0 0 11 24 0 0 0 11 25 0 0 0 12 26 0 0 0 12 27 0 0 0 13 26 0 0 0 13 28 0 0 0 13 29 0 0 0 14 30 0 0 0 14 31 0 0 0 14 32 0 0 0 15 33 0 0 0 15 34 0 0 0 16 32 0 0 0 16 34 0 0 0 16 35 0 0 0 17 33 0 0 0 17 36 0 0 0 17 37 0 0 0 18 31 0 0 0 18 38 0 0 0 18 39 0 0 0 19 38 0 0 0 19 40 0 0 0 20 31 1 0 0 20 37 0 0 0 20 39 1 0 0 21 39 1 0 0 21 41 0 0 0 21 42 0 0 0 22 42 0 0 0 22 43 0 0 0 23 43 0 0 0 23 44 0 0 0 23 45 0 0 0 24 40 0 0 0 24 44 0 1 0 24 46 0 0 0 25 30 0 0 1 25 44 0 1 0 25 45 0 1 0 26 47 0 0 0 26 48 0 0 0 27 30 0 0 1 27 32 0 0 1 27 48 0 0 0 28 36 -1 -1 1 28 47 0 0 0 28 49 0 0 0 29 36 -1 -1 1 29 37 -1 -1 1 29 45 0 0 0 30 50 0 0 0 31 50 0 0 0 32 51 0 0 0 33 52 0 0 0 33 53 0 0 0 34 53 0 0 0 34 54 0 0 0 35 51 0 0 0 35 55 0 0 0 35 56 0 0 0 36 52 0 0 0 37 50 1 0 0 38 54 0 1 0 38 55 0 1 0 39 55 0 1 0 40 54 0 1 0 40 57 0 0 0 41 52 0 0 1 41 55 1 1 0 41 56 1 1 0 42 53 0 0 1 42 58 0 0 0 43 58 0 0 0 43 59 0 0 0 44 59 0 0 0 45 50 0 -1 1 46 51 1 1 0 46 56 1 1 0 46 59 0 1 0 47 57 -1 -1 1 47 58 -1 0 0 48 51 0 0 1 48 57 -1 -1 1 49 52 -1 -1 1 49 56 0 0 0 49 59 -1 0 0 53 60 0 0 0 54 60 0 0 0 57 60 0 1 0 58 60 0 0 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
663
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)
662.6
Genus (mofplus-deposit)
61
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)
662.6
Genus (rcsr-archive-key)
61
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)
(4^3.6^3)4(4^4.6^2)
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, 234.4.4.4.6(2).6(2) 4.4.4.4.10.10 4^4.6^2 4 8 16 28 42 60 84 108 136 170
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, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 1194.4.4.6.6.6 4.4.4.6.10.10 4^3.6^3 4 9 16 27 43 62 83 109 139 171

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

Net point symbol (rcsr-archive-key)
(4^3.6^3)4(4^4.6^2)
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, 14, 18, 21, 25, 31, 35, 38, 43, 49, 55, 594.4.4.4.6(2).6(2) 4.4.4.4.10.10 4^4.6^2 4 8 16 28 42 60 84 108 136 170
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 19, 20, 22, 23, 24, 26, 27, 28, 29, 30, 32, 33, 34, 36, 37, 39, 40, 41, 42, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 56, 57, 584.4.4.6.6.6 4.4.4.6.10.10 4^3.6^3 4 9 16 27 43 62 83 109 139 171

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 120 of 120 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 120 of 120 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
bcv
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
160 (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
2237 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.