Net topology

fau-e

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

JSON · mfpx

384 vertices and 1152 edges in the unit cell. 168 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 = 9.3004 Å, b = 9.3004 Å, c = 9.3004 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
384
Transitivity pqrs
4, 6, *, *
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 4 0 0 0 3 11 0 0 0 3 12 0 0 0 3 13 0 0 0 4 14 0 0 0 4 15 0 0 0 4 16 0 0 0 5 6 0 0 0 5 7 0 0 0 5 13 0 0 0 5 17 0 0 0 5 18 0 0 0 6 7 0 0 0 6 19 0 0 0 6 20 0 0 0 6 21 0 0 0 7 16 0 0 0 7 22 0 0 0 7 23 0 0 0 8 9 0 0 0 8 10 0 0 0 8 24 0 0 0 8 25 0 0 0 8 26 0 0 0 9 10 0 0 0 9 27 0 0 0 9 28 0 0 0 9 29 0 0 0 10 14 0 0 0 10 30 0 0 0 10 31 0 0 0 11 12 0 0 0 11 13 0 0 0 11 32 0 0 0 11 33 0 0 0 11 34 0 0 0 12 13 0 0 0 12 35 0 0 0 12 36 0 0 0 12 37 0 0 0 13 17 0 0 0 13 18 0 0 0 14 15 0 0 0 14 16 0 0 0 14 30 0 0 0 14 31 0 0 0 15 16 0 0 0 15 38 0 0 0 15 39 0 0 0 15 40 0 0 0 16 22 0 0 0 16 23 0 0 0 17 18 0 0 0 17 41 0 0 0 17 42 0 0 0 17 43 0 0 0 18 37 0 0 0 18 44 0 0 0 18 45 0 0 0 19 20 0 0 0 19 21 0 0 0 19 28 0 0 0 19 46 0 0 0 19 47 0 0 0 20 21 0 0 0 20 48 0 0 0 20 49 0 0 0 20 50 0 0 0 21 22 0 0 0 21 51 0 0 0 21 52 0 0 0 22 23 0 0 0 22 51 0 0 0 22 52 0 0 0 23 53 0 0 0 23 54 0 0 0 23 55 0 0 0 24 25 0 0 0 24 26 0 0 0 24 56 0 0 0 24 57 0 0 0 24 58 0 0 0 25 26 0 0 0 25 32 0 0 0 25 59 0 0 0 25 60 0 0 0 26 27 0 0 0 26 61 0 0 0 26 62 0 0 0 27 28 0 0 0 27 29 0 0 0 27 61 0 0 0 27 62 0 0 0 28 29 0 0 0 28 46 0 0 0 28 47 0 0 0 29 31 0 0 0 29 63 0 0 0 29 64 0 0 0 30 31 0 0 0 30 39 0 0 0 30 65 0 0 0 30 66 0 0 0 31 63 0 0 0 31 64 0 0 0 32 33 0 0 0 32 34 0 0 0 32 59 0 0 0 32 60 0 0 0 33 34 0 0 0 33 67 0 0 0 33 68 0 0 0 33 69 0 0 0 34 35 0 0 0 34 70 0 0 0 34 71 0 0 0 35 36 0 0 0 35 37 0 0 0 35 70 0 0 0 35 71 0 0 0 36 37 0 0 0 36 72 0 0 0 36 73 0 0 0 36 74 0 0 0 37 44 0 0 0 37 45 0 0 0 38 39 0 0 0 38 40 0 0 0 38 75 0 0 0 38 76 0 0 0 38 77 0 0 0 39 40 0 0 0 39 65 0 0 0 39 66 0 0 0 40 78 0 0 0 40 79 0 0 0 40 80 0 0 0 41 42 0 0 0 41 43 0 0 0 41 69 0 0 0 41 76 1 0 0 41 81 0 0 0 42 43 0 0 0 42 44 0 0 0 42 82 0 0 0 42 83 0 0 0 43 49 0 0 0 43 77 1 0 0 43 78 1 0 0 44 45 0 0 0 44 82 0 0 0 44 83 0 0 0 45 58 0 1 0 45 61 0 1 0 45 84 0 0 0 46 47 0 0 0 46 48 0 0 0 46 73 0 0 1 46 85 0 0 0 47 51 0 0 0 47 64 0 0 0 47 86 0 0 0 48 49 0 0 0 48 50 0 0 0 48 73 0 0 1 48 85 0 0 0 49 50 0 0 0 49 77 1 0 0 49 78 1 0 0 50 56 0 1 1 50 74 0 0 1 50 79 1 0 0 51 52 0 0 0 51 64 0 0 0 51 86 0 0 0 52 54 0 0 0 52 87 0 0 0 52 88 0 0 0 53 54 0 0 0 53 55 0 0 0 53 57 -1 1 1 53 59 -1 1 1 53 80 0 0 0 54 55 0 0 0 54 87 0 0 0 54 88 0 0 0 55 60 -1 1 1 55 67 -1 1 1 55 89 0 0 0 56 57 0 0 0 56 58 0 0 0 56 74 0 -1 0 56 79 1 -1 -1 57 58 0 0 0 57 59 0 0 0 57 80 1 -1 -1 58 61 0 0 0 58 84 0 -1 0 59 60 0 0 0 59 80 1 -1 -1 60 67 0 0 0 60 89 1 -1 -1 61 62 0 0 0 61 84 0 -1 0 62 90 0 0 0 62 91 0 0 0 62 92 0 0 0 63 64 0 0 0 63 68 -1 0 1 63 71 -1 0 1 63 93 0 0 0 64 86 0 0 0 65 66 0 0 0 65 75 0 0 0 65 94 0 0 0 65 95 0 0 0 66 70 -1 0 1 66 72 -1 0 1 66 96 0 0 0 67 68 0 0 0 67 69 0 0 0 67 89 1 -1 -1 68 69 0 0 0 68 71 0 0 0 68 93 1 0 -1 69 76 1 0 0 69 81 0 0 0 70 71 0 0 0 70 72 0 0 0 70 96 1 0 -1 71 93 1 0 -1 72 73 0 0 0 72 74 0 0 0 72 96 1 0 -1 73 74 0 0 0 73 85 0 0 -1 74 79 1 0 -1 75 76 0 0 0 75 77 0 0 0 75 94 0 0 0 75 95 0 0 0 76 77 0 0 0 76 81 -1 0 0 77 78 0 0 0 78 79 0 0 0 78 80 0 0 0 79 80 0 0 0 81 82 0 0 0 81 86 1 0 -1 81 93 1 0 -1 82 83 0 0 0 82 86 1 0 -1 82 93 1 0 -1 83 84 0 0 0 83 87 1 0 -1 83 90 0 1 0 84 87 1 0 -1 84 90 0 1 0 85 92 0 0 0 85 95 1 0 0 85 96 1 0 0 86 93 0 0 0 87 88 0 0 0 87 90 -1 1 1 88 89 0 0 0 88 91 -1 1 1 88 94 0 1 1 89 91 -1 1 1 89 94 0 1 1 90 91 0 0 0 90 92 0 0 0 91 92 0 0 0 91 94 1 0 0 92 95 1 0 0 92 96 1 0 0 94 95 0 0 0 95 96 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
a1d40564771d754eb3ef2294cca9e18f (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: 384 of 384 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. 384 of 384 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 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
1 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
2 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
3 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
4 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
5 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
6 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
7 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
8 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
9 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
10 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
11 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
12 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
13 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
14 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
15 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
16 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
17 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
18 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
19 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
20 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
21 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
22 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
23 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
24 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
25 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
26 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
27 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
28 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
29 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
30 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
31 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
32 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
33 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
34 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
35 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
36 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
37 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
38 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
39 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
40 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
41 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
42 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
43 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
44 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
45 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
46 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
47 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
48 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
49 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
50 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
51 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
52 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
53 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
54 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
55 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
56 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
57 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
58 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
59 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
60 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
61 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
62 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
63 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
64 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
65 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
66 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
67 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
68 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
69 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
70 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
71 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
72 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
73 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
74 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
75 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
76 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
77 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
78 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
79 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
80 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
81 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
82 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
83 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
84 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
85 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
86 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
87 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
88 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
89 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
90 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
91 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
92 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
93 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
94 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
95 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 49 72 103 142 190 240 290
96 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
97 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
98 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
99 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
100 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
101 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
102 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
103 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
104 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
105 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
106 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
107 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
108 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
109 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
110 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
111 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
112 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
113 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
114 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 31 48 71 103 145 190 239 290
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273 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 47 71 106 144 191 239 288
274 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 47 71 106 144 191 239 288
275 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 47 71 106 144 191 239 288
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277 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 47 71 106 144 191 239 288
278 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 47 71 106 144 191 239 288
279 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 47 71 106 144 191 239 288
280 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 47 71 106 144 191 239 288
281 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 47 71 106 144 191 239 288
282 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 47 71 106 144 191 239 288
283 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 47 71 106 144 191 239 288
284 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 47 71 106 144 191 239 288
285 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 47 71 106 144 191 239 288
286 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 47 71 106 144 191 239 288
287 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 47 71 106 144 191 239 288
288 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
289 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
290 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
291 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
292 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
293 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
294 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
295 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
296 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
297 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
298 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
299 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
300 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
301 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
302 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
303 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
304 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
305 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
306 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
307 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
308 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
309 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
310 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
311 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
312 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
313 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
314 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
315 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
316 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
317 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
318 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
319 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
320 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
321 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
322 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
323 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
324 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
325 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
326 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
327 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
328 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
329 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
330 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
331 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
332 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
333 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
334 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
335 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
336 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
337 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
338 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
339 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
340 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
341 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
342 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
343 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
344 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
345 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
346 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
347 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
348 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
349 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
350 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
351 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
352 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
353 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
354 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
355 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
356 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
357 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
358 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
359 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
360 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
361 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
362 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
363 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
364 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
365 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
366 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
367 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
368 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
369 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
370 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
371 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
372 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
373 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
374 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
375 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
376 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
377 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
378 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
379 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
380 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
381 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
382 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287
383 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2)6 17 29 50 72 102 145 192 240 287

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)
4, 6 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)
fau-e
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 4 0 0 0 3 11 0 0 0 3 12 0 0 0 3 13 0 0 0 4 14 0 0 0 4 15 0 0 0 4 16 0 0 0 5 6 0 0 0 5 7 0 0 0 5 13 0 0 0 5 17 0 0 0 5 18 0 0 0 6 7 0 0 0 6 19 0 0 0 6 20 0 0 0 6 21 0 0 0 7 16 0 0 0 7 22 0 0 0 7 23 0 0 0 8 9 0 0 0 8 10 0 0 0 8 24 0 0 0 8 25 0 0 0 8 26 0 0 0 9 10 0 0 0 9 27 0 0 0 9 28 0 0 0 9 29 0 0 0 10 14 0 0 0 10 30 0 0 0 10 31 0 0 0 11 12 0 0 0 11 13 0 0 0 11 32 0 0 0 11 33 0 0 0 11 34 0 0 0 12 13 0 0 0 12 35 0 0 0 12 36 0 0 0 12 37 0 0 0 13 17 0 0 0 13 18 0 0 0 14 15 0 0 0 14 16 0 0 0 14 30 0 0 0 14 31 0 0 0 15 16 0 0 0 15 38 0 0 0 15 39 0 0 0 15 40 0 0 0 16 22 0 0 0 16 23 0 0 0 17 18 0 0 0 17 41 0 0 0 17 42 0 0 0 17 43 0 0 0 18 37 0 0 0 18 44 0 0 0 18 45 0 0 0 19 20 0 0 0 19 21 0 0 0 19 28 0 0 0 19 46 0 0 0 19 47 0 0 0 20 21 0 0 0 20 48 0 0 0 20 49 0 0 0 20 50 0 0 0 21 22 0 0 0 21 51 0 0 0 21 52 0 0 0 22 23 0 0 0 22 51 0 0 0 22 52 0 0 0 23 53 0 0 0 23 54 0 0 0 23 55 0 0 0 24 25 0 0 0 24 26 0 0 0 24 56 0 0 0 24 57 0 0 0 24 58 0 0 0 25 26 0 0 0 25 32 0 0 0 25 59 0 0 0 25 60 0 0 0 26 27 0 0 0 26 61 0 0 0 26 62 0 0 0 27 28 0 0 0 27 29 0 0 0 27 61 0 0 0 27 62 0 0 0 28 29 0 0 0 28 46 0 0 0 28 47 0 0 0 29 31 0 0 0 29 63 0 0 0 29 64 0 0 0 30 31 0 0 0 30 39 0 0 0 30 65 0 0 0 30 66 0 0 0 31 63 0 0 0 31 64 0 0 0 32 33 0 0 0 32 34 0 0 0 32 59 0 0 0 32 60 0 0 0 33 34 0 0 0 33 67 0 0 0 33 68 0 0 0 33 69 0 0 0 34 35 0 0 0 34 70 0 0 0 34 71 0 0 0 35 36 0 0 0 35 37 0 0 0 35 70 0 0 0 35 71 0 0 0 36 37 0 0 0 36 72 0 0 0 36 73 0 0 0 36 74 0 0 0 37 44 0 0 0 37 45 0 0 0 38 39 0 0 0 38 40 0 0 0 38 75 0 0 0 38 76 0 0 0 38 77 0 0 0 39 40 0 0 0 39 65 0 0 0 39 66 0 0 0 40 78 0 0 0 40 79 0 0 0 40 80 0 0 0 41 42 0 0 0 41 43 0 0 0 41 69 0 0 0 41 76 1 0 0 41 81 0 0 0 42 43 0 0 0 42 44 0 0 0 42 82 0 0 0 42 83 0 0 0 43 49 0 0 0 43 77 1 0 0 43 78 1 0 0 44 45 0 0 0 44 82 0 0 0 44 83 0 0 0 45 58 0 1 0 45 61 0 1 0 45 84 0 0 0 46 47 0 0 0 46 48 0 0 0 46 73 0 0 1 46 85 0 0 0 47 51 0 0 0 47 64 0 0 0 47 86 0 0 0 48 49 0 0 0 48 50 0 0 0 48 73 0 0 1 48 85 0 0 0 49 50 0 0 0 49 77 1 0 0 49 78 1 0 0 50 56 0 1 1 50 74 0 0 1 50 79 1 0 0 51 52 0 0 0 51 64 0 0 0 51 86 0 0 0 52 54 0 0 0 52 87 0 0 0 52 88 0 0 0 53 54 0 0 0 53 55 0 0 0 53 57 -1 1 1 53 59 -1 1 1 53 80 0 0 0 54 55 0 0 0 54 87 0 0 0 54 88 0 0 0 55 60 -1 1 1 55 67 -1 1 1 55 89 0 0 0 56 57 0 0 0 56 58 0 0 0 56 74 0 -1 0 56 79 1 -1 -1 57 58 0 0 0 57 59 0 0 0 57 80 1 -1 -1 58 61 0 0 0 58 84 0 -1 0 59 60 0 0 0 59 80 1 -1 -1 60 67 0 0 0 60 89 1 -1 -1 61 62 0 0 0 61 84 0 -1 0 62 90 0 0 0 62 91 0 0 0 62 92 0 0 0 63 64 0 0 0 63 68 -1 0 1 63 71 -1 0 1 63 93 0 0 0 64 86 0 0 0 65 66 0 0 0 65 75 0 0 0 65 94 0 0 0 65 95 0 0 0 66 70 -1 0 1 66 72 -1 0 1 66 96 0 0 0 67 68 0 0 0 67 69 0 0 0 67 89 1 -1 -1 68 69 0 0 0 68 71 0 0 0 68 93 1 0 -1 69 76 1 0 0 69 81 0 0 0 70 71 0 0 0 70 72 0 0 0 70 96 1 0 -1 71 93 1 0 -1 72 73 0 0 0 72 74 0 0 0 72 96 1 0 -1 73 74 0 0 0 73 85 0 0 -1 74 79 1 0 -1 75 76 0 0 0 75 77 0 0 0 75 94 0 0 0 75 95 0 0 0 76 77 0 0 0 76 81 -1 0 0 77 78 0 0 0 78 79 0 0 0 78 80 0 0 0 79 80 0 0 0 81 82 0 0 0 81 86 1 0 -1 81 93 1 0 -1 82 83 0 0 0 82 86 1 0 -1 82 93 1 0 -1 83 84 0 0 0 83 87 1 0 -1 83 90 0 1 0 84 87 1 0 -1 84 90 0 1 0 85 92 0 0 0 85 95 1 0 0 85 96 1 0 0 86 93 0 0 0 87 88 0 0 0 87 90 -1 1 1 88 89 0 0 0 88 91 -1 1 1 88 94 0 1 1 89 91 -1 1 1 89 94 0 1 1 90 91 0 0 0 90 92 0 0 0 91 92 0 0 0 91 94 1 0 0 92 95 1 0 0 92 96 1 0 0 94 95 0 0 0 95 96 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1141
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)
1141.0
Genus (mofplus-deposit)
193
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)
1141.0
Genus (rcsr-archive-key)
193
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)
(3^6.4.5^4.6^4)(3^6.4^2.5^6.6)
Longest ring searched (mofplus-deposit)
40 Some angle of this net has no ring within that bound. Those angles are written * rather than given a ring that was never found.
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, 953.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2) 4 angles have no ring of at most 40 edges 3.3.3.3.3.3.4.4.8.8.12.*.*.*.* 3^6.4^2.5^6.6 6 16 32 49 72 103 142 190 240 290
96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 1913.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2) 4 angles have no ring of at most 40 edges 3.3.3.3.3.3.4.6.12.12(2).12(2).*.*.*.* 3^6.4.5^4.6^4 6 17 31 48 71 103 145 190 239 290
192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 2873.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3) 2 angles have no ring of at most 40 edges 3.3.3.3.3.3.4.4.6.8.8.12(2).12(2).*.* 3^6.4^2.5^6.6 6 16 32 47 71 106 144 191 239 288
288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 3833.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2) 2 angles have no ring of at most 40 edges 3.3.3.3.3.3.4.6.6.8.8.12(2).12(2).*.* 3^6.4.5^4.6^4 6 17 29 50 72 102 145 192 240 287

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

Net point symbol (rcsr-archive-key)
(3^6.4.5^4.6^4)(3^6.4^2.5^6.6)
Longest ring searched (rcsr-archive-key)
40 Some angle of this net has no ring within that bound. Those angles are written * rather than given a ring that was never found.
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, 8, 12, 13, 18, 21, 25, 32, 34, 38, 40, 43, 47, 53, 56, 59, 63, 71, 76, 78, 83, 90, 92, 943.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3) 2 angles have no ring of at most 40 edges 3.3.3.3.3.3.4.4.6.8.8.12(2).12(2).*.* 3^6.4^2.5^6.6 6 16 32 47 71 106 144 191 239 288
1, 5, 10, 15, 16, 24, 27, 30, 36, 39, 48, 50, 52, 57, 61, 65, 68, 70, 73, 74, 81, 84, 86, 883.3.3.3.3.3.4.5.5.5.5.6.6.6(2).6(2) 2 angles have no ring of at most 40 edges 3.3.3.3.3.3.4.6.6.8.8.12(2).12(2).*.* 3^6.4.5^4.6^4 6 17 29 50 72 102 145 192 240 287
2, 4, 7, 14, 19, 22, 26, 29, 31, 35, 42, 44, 45, 51, 55, 62, 66, 69, 75, 79, 82, 85, 91, 933.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2) 4 angles have no ring of at most 40 edges 3.3.3.3.3.3.4.6.12.12(2).12(2).*.*.*.* 3^6.4.5^4.6^4 6 17 31 48 71 103 145 190 239 290
3, 6, 9, 11, 17, 20, 23, 28, 33, 37, 41, 46, 49, 54, 58, 60, 64, 67, 72, 77, 80, 87, 89, 953.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2) 4 angles have no ring of at most 40 edges 3.3.3.3.3.3.4.4.8.8.12.*.*.*.* 3^6.4^2.5^6.6 6 16 32 49 72 103 142 190 240 290

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 384 of 384 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 384 of 384 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
fau-e
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
656 (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
2410 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.