MOF++

Data › Nets › oge

Net topology

oge

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

JSON · mfpx

144 vertices and 216 edges in the unit cell. 36 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
Im-3m (No. 229)
Cell lengths
a = 7.8687 Å, b = 7.8687 Å, c = 7.8687 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
144
Transitivity pqrs
4, 4, *, *
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 23 0 0 0 11 24 0 0 0 12 25 0 0 0 12 26 0 0 0 13 27 0 0 0 13 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 23 0 0 0 15 31 0 0 0 16 32 0 0 0 16 33 0 0 0 17 28 0 0 0 17 34 0 0 0 18 35 0 0 0 18 36 0 0 0 19 37 0 0 0 19 38 0 0 0 20 39 0 0 0 20 40 0 0 0 21 30 0 0 0 21 41 0 0 0 22 36 0 0 0 22 42 0 0 0 23 43 0 0 0 24 44 0 0 0 24 45 0 0 0 25 46 0 0 0 25 47 0 0 0 26 48 0 0 0 26 49 0 0 0 27 45 0 0 0 27 50 0 0 0 28 51 0 0 0 29 49 0 0 0 29 52 0 0 0 30 53 0 0 0 31 54 0 0 0 31 55 0 0 0 32 53 1 0 0 32 56 0 0 0 33 57 0 0 0 33 58 0 0 0 34 55 0 0 0 34 59 0 0 0 35 58 0 0 0 35 60 0 0 0 36 46 0 1 0 37 54 0 0 1 37 57 0 0 1 38 59 0 0 1 38 60 0 0 1 39 44 1 1 1 39 48 1 1 1 40 50 1 1 1 40 52 1 1 1 41 59 0 0 1 41 61 0 0 0 42 50 1 1 1 42 62 0 0 0 43 63 0 0 0 43 64 0 0 0 44 65 0 0 0 45 66 0 0 0 46 67 0 0 0 47 68 0 0 0 47 69 0 0 0 48 70 0 0 0 49 71 0 0 0 51 67 0 1 0 51 70 0 1 0 52 63 -1 0 0 53 67 0 1 0 54 68 0 0 -1 55 66 0 0 0 56 65 1 1 1 56 69 1 1 0 57 70 1 1 0 58 71 1 1 0 60 63 0 1 0 61 64 0 1 1 61 65 0 1 1 62 64 0 1 1 62 68 0 1 0 66 72 0 0 0 69 72 0 0 1 71 72 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
9aff4728ac00c92a5e7dc4e31b51e314 (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: 144 of 144 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. 144 of 144 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 Im-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 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
1 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
2 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
3 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
4 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
5 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
6 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
7 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
8 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
9 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
10 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
11 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
12 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
13 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
14 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
15 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
16 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
17 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
18 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
19 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
20 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
21 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
22 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
23 3 mm28(2).8(2).12(4)3 6 12 20 30 40 55 77 100 126
24 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
25 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
26 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
27 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
28 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
29 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
30 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
31 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
32 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
33 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
34 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
35 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
36 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
37 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
38 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
39 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
40 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
41 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
42 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
43 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
44 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
45 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
46 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
47 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
48 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
49 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
50 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
51 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
52 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
53 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
54 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
55 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
56 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
57 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
58 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
59 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
60 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
61 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
62 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
63 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
64 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
65 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
66 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
67 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
68 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
69 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
70 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
71 3 m8.8(2).8(2)3 6 12 19 29 43 59 77 98 119
72 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
73 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
74 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
75 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
76 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
77 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
78 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
79 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
80 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
81 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
82 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
83 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
84 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
85 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
86 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
87 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
88 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
89 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
90 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
91 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
92 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
93 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
94 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
95 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
96 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
97 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
98 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
99 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
100 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
101 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
102 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
103 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
104 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
105 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
106 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
107 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
108 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
109 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
110 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
111 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
112 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
113 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
114 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
115 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
116 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
117 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
118 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
119 3 m8.8.8(2)3 6 12 20 30 42 57 75 98 123
120 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
121 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
122 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
123 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
124 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
125 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
126 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
127 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
128 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
129 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
130 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
131 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
132 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
133 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
134 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
135 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
136 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
137 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
138 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
139 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
140 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
141 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
142 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120
143 3 mm28(2).8(2).8(2)3 6 12 18 28 43 59 78 100 120

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)
Im-3m (No. 229)
Transitivity p, q (mofplus-deposit)
4, 4 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)
oge
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 23 0 0 0 11 24 0 0 0 12 25 0 0 0 12 26 0 0 0 13 27 0 0 0 13 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 23 0 0 0 15 31 0 0 0 16 32 0 0 0 16 33 0 0 0 17 28 0 0 0 17 34 0 0 0 18 35 0 0 0 18 36 0 0 0 19 37 0 0 0 19 38 0 0 0 20 39 0 0 0 20 40 0 0 0 21 30 0 0 0 21 41 0 0 0 22 36 0 0 0 22 42 0 0 0 23 43 0 0 0 24 44 0 0 0 24 45 0 0 0 25 46 0 0 0 25 47 0 0 0 26 48 0 0 0 26 49 0 0 0 27 45 0 0 0 27 50 0 0 0 28 51 0 0 0 29 49 0 0 0 29 52 0 0 0 30 53 0 0 0 31 54 0 0 0 31 55 0 0 0 32 53 1 0 0 32 56 0 0 0 33 57 0 0 0 33 58 0 0 0 34 55 0 0 0 34 59 0 0 0 35 58 0 0 0 35 60 0 0 0 36 46 0 1 0 37 54 0 0 1 37 57 0 0 1 38 59 0 0 1 38 60 0 0 1 39 44 1 1 1 39 48 1 1 1 40 50 1 1 1 40 52 1 1 1 41 59 0 0 1 41 61 0 0 0 42 50 1 1 1 42 62 0 0 0 43 63 0 0 0 43 64 0 0 0 44 65 0 0 0 45 66 0 0 0 46 67 0 0 0 47 68 0 0 0 47 69 0 0 0 48 70 0 0 0 49 71 0 0 0 51 67 0 1 0 51 70 0 1 0 52 63 -1 0 0 53 67 0 1 0 54 68 0 0 -1 55 66 0 0 0 56 65 1 1 1 56 69 1 1 0 57 70 1 1 0 58 71 1 1 0 60 63 0 1 0 61 64 0 1 1 61 65 0 1 1 62 64 0 1 1 62 68 0 1 0 66 72 0 0 0 69 72 0 0 1 71 72 0 0 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
467
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)
467.3333333333333
Genus (mofplus-deposit)
37
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)
467.3333333333333
Genus (rcsr-archive-key)
37
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)
(8^2.12)(8^3)5
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, 238(2).8(2).12(4) 8(2).8(2).12(2) 8^2.12 3 6 12 20 30 40 55 77 100 126
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, 718.8(2).8(2) 8.8(2).8(2) 8^3 3 6 12 19 29 43 59 77 98 119
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, 1198.8.8(2) 8.8.8(2) 8^3 3 6 12 20 30 42 57 75 98 123
120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 1438(2).8(2).8(2) 8(2).8(2).8(2) 8^3 3 6 12 18 28 43 59 78 100 120

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

Net point symbol (rcsr-archive-key)
(8^2.12)(8^3)5
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, 4, 6, 8, 22, 24, 26, 27, 28, 29, 31, 33, 34, 35, 36, 38, 40, 41, 62, 64, 65, 67, 69, 708.8.8(2) 8.8.8(2) 8^3 3 6 12 20 30 42 57 75 98 123
1, 2, 10, 12, 14, 16, 18, 19, 20, 21, 44, 45, 46, 47, 48, 51, 52, 54, 55, 56, 57, 59, 60, 618.8(2).8(2) 8.8(2).8(2) 8^3 3 6 12 19 29 43 59 77 98 119
3, 11, 13, 15, 17, 42, 43, 49, 50, 53, 58, 718(2).8(2).12(4) 8(2).8(2).12(2) 8^2.12 3 6 12 20 30 40 55 77 100 126
5, 7, 9, 23, 25, 30, 32, 37, 39, 63, 66, 688(2).8(2).8(2) 8(2).8(2).8(2) 8^3 3 6 12 18 28 43 59 78 100 120

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 144 of 144 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 144 of 144 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
oge
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
1501 (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
2255 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.