MOF++

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Net topology

dia-j

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

JSON · mfpx

96 vertices and 288 edges in the unit cell. 66 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
Fd-3m (No. 227)
Cell lengths
a = 5.6568 Å, b = 5.6568 Å, c = 5.6568 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
96
Transitivity pqrs
1, 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 1 6 0 0 0 1 7 0 0 0 2 3 0 0 0 2 4 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 3 5 0 0 0 3 9 0 0 0 3 11 0 0 0 3 12 0 0 0 4 5 0 0 0 4 9 0 0 0 4 13 0 0 0 4 14 0 0 0 5 9 0 0 0 5 15 0 0 0 5 16 0 0 0 6 7 0 0 0 6 10 0 0 0 6 15 1 0 0 6 17 0 0 0 6 18 0 0 0 7 12 0 0 0 7 13 0 1 0 7 19 0 0 0 7 20 0 0 0 8 10 0 0 0 8 11 0 0 0 8 14 0 0 1 8 21 0 0 0 8 22 0 0 0 9 23 0 0 0 9 24 0 0 0 10 17 0 0 0 10 18 0 0 0 10 24 1 0 0 11 12 0 0 0 11 16 0 0 1 11 21 0 0 0 11 22 0 0 0 12 19 0 0 0 12 20 0 0 0 12 23 0 1 0 13 14 0 0 0 13 19 0 -1 0 13 20 0 -1 0 13 23 0 0 0 14 16 0 0 0 14 21 0 0 -1 14 22 0 0 -1 15 16 0 0 0 15 17 -1 0 0 15 18 -1 0 0 15 24 0 0 0 16 21 0 0 -1 16 22 0 0 -1 17 19 0 0 0 17 22 0 0 0 17 24 1 0 0 18 20 1 -1 0 18 21 1 0 -1 18 24 1 0 0 19 22 0 0 0 19 23 0 1 0 20 21 0 1 -1 20 23 0 1 0 23 24 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
b34b89af574ffe8178cf5b1bbd8e3fd4 (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 Fd-3m, setting 2, 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 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
1 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
2 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
3 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
4 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
5 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
6 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
7 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
8 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
9 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
10 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
11 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
12 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
13 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
14 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
15 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
16 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
17 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
18 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
19 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
20 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
21 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
22 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
23 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
24 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
25 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
26 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
27 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
28 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
29 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
30 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
31 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
32 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
33 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
34 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
35 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
36 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
37 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
38 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
39 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
40 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
41 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
42 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
43 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
44 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
45 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
46 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
47 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
48 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
49 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
50 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
51 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
52 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
53 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
54 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
55 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
56 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
57 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
58 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
59 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
60 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
61 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
62 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
63 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
64 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
65 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
66 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
67 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
68 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
69 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
70 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
71 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
72 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
73 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
74 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
75 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
76 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
77 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
78 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
79 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
80 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
81 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
82 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
83 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
84 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
85 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
86 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
87 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
88 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
89 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
90 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
91 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
92 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
93 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
94 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371
95 6 m3.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4)6 15 26 46 80 132 172 216 294 371

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)
Fd-3m (No. 227) (second origin choice)
Transitivity p, q (mofplus-deposit)
1, 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)
4
RCSR identification (mofplus-deposit)
dia-j
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 1 7 0 0 0 2 3 0 0 0 2 4 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 3 5 0 0 0 3 9 0 0 0 3 11 0 0 0 3 12 0 0 0 4 5 0 0 0 4 9 0 0 0 4 13 0 0 0 4 14 0 0 0 5 9 0 0 0 5 15 0 0 0 5 16 0 0 0 6 7 0 0 0 6 10 0 0 0 6 15 1 0 0 6 17 0 0 0 6 18 0 0 0 7 12 0 0 0 7 13 0 1 0 7 19 0 0 0 7 20 0 0 0 8 10 0 0 0 8 11 0 0 0 8 14 0 0 1 8 21 0 0 0 8 22 0 0 0 9 23 0 0 0 9 24 0 0 0 10 17 0 0 0 10 18 0 0 0 10 24 1 0 0 11 12 0 0 0 11 16 0 0 1 11 21 0 0 0 11 22 0 0 0 12 19 0 0 0 12 20 0 0 0 12 23 0 1 0 13 14 0 0 0 13 19 0 -1 0 13 20 0 -1 0 13 23 0 0 0 14 16 0 0 0 14 21 0 0 -1 14 22 0 0 -1 15 16 0 0 0 15 17 -1 0 0 15 18 -1 0 0 15 24 0 0 0 16 21 0 0 -1 16 22 0 0 -1 17 19 0 0 0 17 22 0 0 0 17 24 1 0 0 18 20 1 -1 0 18 21 1 0 -1 18 24 1 0 0 19 22 0 0 0 19 23 0 1 0 20 21 0 1 -1 20 23 0 1 0 23 24 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1359
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)
1359.0
Genus (mofplus-deposit)
49
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)
1359.0
Genus (rcsr-archive-key)
49
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)
(3^5.4^4.5^4.6^2)
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, 23, 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, 953.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4) 3.3.3.3.3.4.4.4.4.6.6.12(5).12(5).12(13).12(13) 3^5.4^4.5^4.6^2 6 15 26 46 80 132 172 216 294 371

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

Net point symbol (rcsr-archive-key)
(3^5.4^4.5^4.6^2)
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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 233.3.3.3.3.4.4.4(3).4(3).5.5.5(2).5(2).6(4).6(4) 3.3.3.3.3.4.4.4.4.6.6.12(5).12(5).12(13).12(13) 3^5.4^4.5^4.6^2 6 15 26 46 80 132 172 216 294 371

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
dia-j
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
466 (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
2187 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.