Net topology

wzz-a

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

JSON · mfpx

112 vertices and 248 edges in the unit cell. 63 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
Fm-3m (No. 225)
Cell lengths
a = 5.8083 Å, b = 5.8083 Å, c = 5.8083 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
112
Transitivity pqrs
4, 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 1 5 0 0 0 1 6 0 0 0 2 3 0 0 0 2 4 0 0 0 2 7 0 0 0 2 8 0 0 0 3 5 0 0 0 3 8 0 0 0 3 9 0 0 0 4 5 0 0 0 4 8 0 0 0 4 10 0 0 0 5 8 0 0 0 5 11 0 0 0 6 12 0 0 0 6 13 0 0 0 6 14 0 0 0 6 15 0 0 0 7 14 1 0 0 7 15 1 0 0 7 16 0 0 0 7 17 0 0 0 8 18 0 0 0 9 13 0 1 0 9 15 0 1 0 9 17 -1 1 0 9 19 0 0 0 10 12 0 0 1 10 14 0 0 1 10 16 -1 0 1 10 20 0 0 0 11 12 -1 1 1 11 13 -1 1 1 11 19 -1 0 1 11 20 -1 1 0 12 21 0 0 0 13 22 0 0 0 14 23 0 0 0 15 24 0 0 0 16 18 1 -1 -1 16 25 0 0 0 17 18 1 -1 -1 17 26 0 0 0 18 19 0 0 1 18 20 0 1 0 19 27 0 0 0 20 28 0 0 0 21 24 1 0 -1 21 25 0 0 0 21 27 0 0 0 22 23 1 -1 0 22 26 0 0 0 22 28 0 0 0 23 26 -1 1 0 23 28 -1 1 0 24 25 -1 0 1 24 27 -1 0 1 25 27 0 0 0 26 28 0 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
e5385585235b1b55f0a68dae6f403c29 (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: 112 of 112 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. 112 of 112 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 Fm-3m, 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 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
1 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
2 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
3 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
4 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
5 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
6 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
7 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
8 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
9 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
10 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
11 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
12 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
13 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
14 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
15 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
16 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
17 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
18 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
19 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
20 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
21 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
22 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
23 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
24 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
25 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
26 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
27 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
28 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
29 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
30 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
31 4 3m4.4.4.8(2).8(2).8(2)4 12 24 40 64 90 126 171 201 277
32 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
33 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
34 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
35 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
36 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
37 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
38 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
39 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
40 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
41 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
42 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
43 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
44 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
45 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
46 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
47 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
48 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
49 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
50 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
51 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
52 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
53 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
54 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
55 5 4mm4.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2)5 12 25 42 61 92 129 166 221 240
56 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
57 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
58 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
59 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
60 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
61 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
62 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
63 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
64 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
65 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
66 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
67 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
68 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
69 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
70 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
71 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
72 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
73 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
74 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
75 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
76 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
77 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
78 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
79 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
80 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
81 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
82 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
83 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
84 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
85 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
86 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
87 4 3m3.3.3.8(2).8(2).8(2)4 6 18 42 58 91 117 138 199 268
88 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
89 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
90 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
91 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
92 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
93 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
94 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
95 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
96 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
97 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
98 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
99 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
100 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
101 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
102 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
103 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
104 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
105 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
106 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
107 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
108 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
109 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
110 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249
111 5 4mm3.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2)5 9 25 48 65 93 133 170 201 249

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)
Fm-3m (No. 225)
Transitivity p, q (mofplus-deposit)
4, 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)
48
Repeat-unit factor (mofplus-deposit)
4
RCSR identification (mofplus-deposit)
wzz-a
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 1 6 0 0 0 2 3 0 0 0 2 4 0 0 0 2 7 0 0 0 2 8 0 0 0 3 5 0 0 0 3 8 0 0 0 3 9 0 0 0 4 5 0 0 0 4 8 0 0 0 4 10 0 0 0 5 8 0 0 0 5 11 0 0 0 6 12 0 0 0 6 13 0 0 0 6 14 0 0 0 6 15 0 0 0 7 14 1 0 0 7 15 1 0 0 7 16 0 0 0 7 17 0 0 0 8 18 0 0 0 9 13 0 1 0 9 15 0 1 0 9 17 -1 1 0 9 19 0 0 0 10 12 0 0 1 10 14 0 0 1 10 16 -1 0 1 10 20 0 0 0 11 12 -1 1 1 11 13 -1 1 1 11 19 -1 0 1 11 20 -1 1 0 12 21 0 0 0 13 22 0 0 0 14 23 0 0 0 15 24 0 0 0 16 18 1 -1 -1 16 25 0 0 0 17 18 1 -1 -1 17 26 0 0 0 18 19 0 0 1 18 20 0 1 0 19 27 0 0 0 20 28 0 0 0 21 24 1 0 -1 21 25 0 0 0 21 27 0 0 0 22 23 1 -1 0 22 26 0 0 0 22 28 0 0 0 23 26 -1 1 0 23 28 -1 1 0 24 25 -1 0 1 24 27 -1 0 1 25 27 0 0 0 26 28 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
985
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)
984.7857142857143
Genus (mofplus-deposit)
35
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)
984.7857142857143
Genus (rcsr-archive-key)
35
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)
(3^3.8^3)4(4^3.8^3)4(3^4.4^2.8^4)3(4^4.6^2.8^4)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, 314.4.4.8(2).8(2).8(2) 4.4.4.8(2).8(2).8(2) 4^3.8^3 4 12 24 40 64 90 126 171 201 277
32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 554.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2) 4.4.4.4.6(2).6(2).8(2).8(2).8(2).8(2) 4^4.6^2.8^4 5 12 25 42 61 92 129 166 221 240
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, 873.3.3.8(2).8(2).8(2) 3.3.3.8(2).8(2).8(2) 3^3.8^3 4 6 18 42 58 91 117 138 199 268
88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 1113.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2) 3.3.3.3.4.4.8(2).8(2).8(2).8(2) 3^4.4^2.8^4 5 9 25 48 65 93 133 170 201 249

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

Net point symbol (rcsr-archive-key)
(3^3.8^3)4(4^3.8^3)4(3^4.4^2.8^4)3(4^4.6^2.8^4)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, 1, 2, 3, 4, 73.3.3.3.4(3).4(3).8(2).8(2).8(2).8(2) 3.3.3.3.4.4.8(2).8(2).8(2).8(2) 3^4.4^2.8^4 5 9 25 48 65 93 133 170 201 249
5, 6, 8, 9, 10, 174.4.4.4.6(4).6(4).8(2).8(2).8(2).8(2) 4.4.4.4.6(2).6(2).8(2).8(2).8(2).8(2) 4^4.6^2.8^4 5 12 25 42 61 92 129 166 221 240
11, 12, 13, 14, 15, 16, 18, 194.4.4.8(2).8(2).8(2) 4.4.4.8(2).8(2).8(2) 4^3.8^3 4 12 24 40 64 90 126 171 201 277
20, 21, 22, 23, 24, 25, 26, 273.3.3.8(2).8(2).8(2) 3.3.3.8(2).8(2).8(2) 3^3.8^3 4 6 18 42 58 91 117 138 199 268

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 112 of 112 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 112 of 112 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
wzz-a
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
2676 (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
2218 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.