Net topology

kfi-e

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

JSON · mfpx

192 vertices and 576 edges in the unit cell. 72 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 = 7.0741 Å, b = 7.0741 Å, c = 7.0741 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
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 42 1 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 50 0 1 0 32 67 0 0 0 32 68 0 0 0 33 34 0 0 0 33 69 0 0 0 33 70 0 0 0 33 71 0 0 0 34 35 0 0 0 34 72 0 0 0 34 73 0 0 0 35 36 0 0 0 35 37 0 0 0 35 72 0 0 0 35 73 0 0 0 36 37 0 0 0 36 61 0 0 1 36 74 0 0 0 36 75 0 0 0 37 44 0 0 0 37 45 0 0 0 38 39 0 0 0 38 40 0 0 0 38 76 0 0 0 38 77 0 0 0 38 78 0 0 0 39 40 0 0 0 39 65 0 0 0 39 66 0 0 0 40 68 1 -1 1 40 69 1 -1 1 40 79 0 0 0 41 42 0 0 0 41 43 0 0 0 41 71 0 0 0 41 80 0 0 0 41 81 0 0 0 42 43 0 0 0 42 59 -1 0 0 42 60 -1 0 0 43 44 0 0 0 43 82 0 0 0 43 83 0 0 0 44 45 0 0 0 44 82 0 0 0 44 83 0 0 0 45 84 0 0 0 45 85 0 0 0 45 86 0 0 0 46 47 0 0 0 46 49 0 0 0 46 86 0 0 -1 46 87 0 0 0 47 51 0 0 0 47 64 0 0 0 47 88 0 0 0 48 49 0 0 0 48 50 0 0 0 48 78 -1 0 -1 48 79 -1 0 -1 48 89 0 0 0 49 50 0 0 0 49 86 0 0 -1 49 87 0 0 0 50 67 0 -1 0 50 68 0 -1 0 51 52 0 0 0 51 64 0 0 0 51 88 0 0 0 52 53 0 0 0 52 90 0 0 0 52 91 0 0 0 53 54 0 0 0 53 55 0 0 0 53 90 0 0 0 53 91 0 0 0 54 55 0 0 0 54 56 0 -1 1 54 92 0 0 0 54 93 0 0 0 55 58 0 -1 1 55 59 0 -1 1 55 80 1 -1 1 56 57 0 0 0 56 58 0 0 0 56 92 0 1 -1 56 93 0 1 -1 57 58 0 0 0 57 67 0 0 0 57 87 0 1 0 57 94 0 0 0 58 59 0 0 0 58 80 1 0 0 59 60 0 0 0 59 80 1 0 0 60 62 0 0 0 60 89 1 0 0 60 95 0 0 0 61 62 0 0 0 61 74 0 0 -1 61 75 0 0 -1 62 89 1 0 0 62 95 0 0 0 63 64 0 0 0 63 70 1 -1 0 63 72 1 -1 0 63 96 0 0 0 64 88 0 0 0 65 66 0 0 0 65 76 0 0 0 65 83 1 0 0 65 84 1 0 0 66 85 1 0 0 66 92 1 0 0 66 94 1 -1 1 67 68 0 0 0 67 87 0 1 0 67 94 0 0 0 68 69 0 0 0 68 79 -1 1 -1 69 70 0 0 0 69 71 0 0 0 69 79 -1 1 -1 70 71 0 0 0 70 72 0 0 0 70 96 -1 1 0 71 80 0 0 0 71 81 0 0 0 72 73 0 0 0 72 96 -1 1 0 73 74 0 0 0 73 90 0 1 0 73 93 0 1 0 74 75 0 0 0 74 90 0 1 0 74 93 0 1 0 75 77 0 0 0 75 91 0 1 0 75 95 0 0 1 76 77 0 0 0 76 78 0 0 0 76 83 1 0 0 76 84 1 0 0 77 78 0 0 0 77 91 0 1 0 77 95 0 0 1 78 79 0 0 0 78 89 1 0 1 79 89 1 0 1 80 81 0 0 0 81 82 0 0 0 81 88 -1 1 0 81 96 -1 1 0 82 83 0 0 0 82 88 -1 1 0 82 96 -1 1 0 83 84 0 0 0 84 85 0 0 0 84 86 0 0 0 85 86 0 0 0 85 92 0 0 0 85 94 0 -1 1 86 87 0 0 1 87 94 0 -1 0 88 96 0 0 0 89 95 -1 0 0 90 91 0 0 0 90 93 0 0 0 91 95 0 -1 1 92 93 0 0 0 92 94 0 -1 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
ec9afaf07be841a3b7a84c83e4c4e817 (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: 192 of 192 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. 192 of 192 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 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
1 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
2 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
3 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
4 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
5 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
6 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
7 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
8 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
9 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
10 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
11 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
12 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
13 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
14 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
15 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
16 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
17 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
18 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
19 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
20 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
21 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
22 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
23 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
24 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
25 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
26 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
27 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
28 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
29 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
30 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
31 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
32 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
33 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
34 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
35 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
36 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
37 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
38 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
39 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
40 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
41 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
42 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
43 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
44 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
45 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
46 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
47 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.66 17 32 54 88 129 168 221 280 346
48 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
49 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
50 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
51 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
52 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
53 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
54 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
55 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
56 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
57 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
58 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
59 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
60 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
61 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
62 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
63 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
64 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
65 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
66 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
67 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
68 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
69 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
70 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
71 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
72 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
73 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
74 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
75 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
76 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
77 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
78 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
79 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
80 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
81 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
82 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
83 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
84 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
85 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
86 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
87 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
88 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
89 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
90 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
91 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
92 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
93 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
94 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
95 6 m3.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2)6 17 30 56 89 126 168 223 281 341
96 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
97 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
98 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
99 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
100 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
101 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
102 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
103 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
104 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
105 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
106 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
107 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
108 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
109 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
110 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
111 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
112 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
113 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
114 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
115 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
116 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
117 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
118 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
119 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
120 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
121 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
122 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
123 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
124 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
125 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
126 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
127 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
128 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
129 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
130 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
131 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
132 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
133 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
134 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
135 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
136 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
137 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
138 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
139 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
140 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
141 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
142 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
143 6 m3.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3)6 16 32 56 87 127 168 222 281 345
144 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
145 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
146 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
147 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
148 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
149 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
150 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
151 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
152 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
153 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
154 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
155 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
156 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
157 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
158 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
159 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
160 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
161 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
162 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
163 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
164 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
165 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
166 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
167 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
168 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
169 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
170 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
171 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
172 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
173 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
174 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
175 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
176 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
177 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
178 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
179 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
180 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
181 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
182 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
183 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
184 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
185 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
186 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
187 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
188 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
189 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
190 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346
191 6 23.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2)6 16 32 56 86 124 166 224 284 346

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, 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)
2
RCSR identification (mofplus-deposit)
kfi-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 42 1 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 50 0 1 0 32 67 0 0 0 32 68 0 0 0 33 34 0 0 0 33 69 0 0 0 33 70 0 0 0 33 71 0 0 0 34 35 0 0 0 34 72 0 0 0 34 73 0 0 0 35 36 0 0 0 35 37 0 0 0 35 72 0 0 0 35 73 0 0 0 36 37 0 0 0 36 61 0 0 1 36 74 0 0 0 36 75 0 0 0 37 44 0 0 0 37 45 0 0 0 38 39 0 0 0 38 40 0 0 0 38 76 0 0 0 38 77 0 0 0 38 78 0 0 0 39 40 0 0 0 39 65 0 0 0 39 66 0 0 0 40 68 1 -1 1 40 69 1 -1 1 40 79 0 0 0 41 42 0 0 0 41 43 0 0 0 41 71 0 0 0 41 80 0 0 0 41 81 0 0 0 42 43 0 0 0 42 59 -1 0 0 42 60 -1 0 0 43 44 0 0 0 43 82 0 0 0 43 83 0 0 0 44 45 0 0 0 44 82 0 0 0 44 83 0 0 0 45 84 0 0 0 45 85 0 0 0 45 86 0 0 0 46 47 0 0 0 46 49 0 0 0 46 86 0 0 -1 46 87 0 0 0 47 51 0 0 0 47 64 0 0 0 47 88 0 0 0 48 49 0 0 0 48 50 0 0 0 48 78 -1 0 -1 48 79 -1 0 -1 48 89 0 0 0 49 50 0 0 0 49 86 0 0 -1 49 87 0 0 0 50 67 0 -1 0 50 68 0 -1 0 51 52 0 0 0 51 64 0 0 0 51 88 0 0 0 52 53 0 0 0 52 90 0 0 0 52 91 0 0 0 53 54 0 0 0 53 55 0 0 0 53 90 0 0 0 53 91 0 0 0 54 55 0 0 0 54 56 0 -1 1 54 92 0 0 0 54 93 0 0 0 55 58 0 -1 1 55 59 0 -1 1 55 80 1 -1 1 56 57 0 0 0 56 58 0 0 0 56 92 0 1 -1 56 93 0 1 -1 57 58 0 0 0 57 67 0 0 0 57 87 0 1 0 57 94 0 0 0 58 59 0 0 0 58 80 1 0 0 59 60 0 0 0 59 80 1 0 0 60 62 0 0 0 60 89 1 0 0 60 95 0 0 0 61 62 0 0 0 61 74 0 0 -1 61 75 0 0 -1 62 89 1 0 0 62 95 0 0 0 63 64 0 0 0 63 70 1 -1 0 63 72 1 -1 0 63 96 0 0 0 64 88 0 0 0 65 66 0 0 0 65 76 0 0 0 65 83 1 0 0 65 84 1 0 0 66 85 1 0 0 66 92 1 0 0 66 94 1 -1 1 67 68 0 0 0 67 87 0 1 0 67 94 0 0 0 68 69 0 0 0 68 79 -1 1 -1 69 70 0 0 0 69 71 0 0 0 69 79 -1 1 -1 70 71 0 0 0 70 72 0 0 0 70 96 -1 1 0 71 80 0 0 0 71 81 0 0 0 72 73 0 0 0 72 96 -1 1 0 73 74 0 0 0 73 90 0 1 0 73 93 0 1 0 74 75 0 0 0 74 90 0 1 0 74 93 0 1 0 75 77 0 0 0 75 91 0 1 0 75 95 0 0 1 76 77 0 0 0 76 78 0 0 0 76 83 1 0 0 76 84 1 0 0 77 78 0 0 0 77 91 0 1 0 77 95 0 0 1 78 79 0 0 0 78 89 1 0 1 79 89 1 0 1 80 81 0 0 0 81 82 0 0 0 81 88 -1 1 0 81 96 -1 1 0 82 83 0 0 0 82 88 -1 1 0 82 96 -1 1 0 83 84 0 0 0 84 85 0 0 0 84 86 0 0 0 85 86 0 0 0 85 92 0 0 0 85 94 0 -1 1 86 87 0 0 1 87 94 0 -1 0 88 96 0 0 0 89 95 -1 0 0 90 91 0 0 0 90 93 0 0 0 91 95 0 -1 1 92 93 0 0 0 92 94 0 -1 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1341
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)
1340.5
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)
1340.5
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
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, 473.3.3.3.3.3.4.5.5.5.5.6.6.6.6 3.3.3.3.3.3.4.8.8.14.14.14(3).14(3).18(5).18(5) 3^6.4.5^4.6^4 6 17 32 54 88 129 168 221 280 346
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, 953.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2) 3.3.3.3.3.3.4.6.8.8.8.14.14.18(5).18(5) 3^6.4.5^4.6^4 6 17 30 56 89 126 168 223 281 341
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, 1433.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3) 3.3.3.3.3.3.4.4.6.8.8.14.14.18(5).18(5) 3^6.4^2.5^6.6 6 16 32 56 87 127 168 222 281 345
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, 1913.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2) 3.3.3.3.3.3.4.4.8.8.8.14.14.14.14 3^6.4^2.5^6.6 6 16 32 56 86 124 166 224 284 346

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
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, 48, 52, 55, 58, 63, 67, 73, 77, 83, 93, 94, 953.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(3) 3.3.3.3.3.3.4.4.6.8.8.14.14.18(5).18(5) 3^6.4^2.5^6.6 6 16 32 56 87 127 168 222 281 345
1, 5, 10, 15, 16, 23, 27, 30, 36, 39, 47, 50, 54, 59, 60, 65, 66, 70, 71, 75, 81, 85, 90, 923.3.3.3.3.3.4.5.5.5.5.6.6.6.6(2) 3.3.3.3.3.3.4.6.8.8.8.14.14.18(5).18(5) 3^6.4.5^4.6^4 6 17 30 56 89 126 168 223 281 341
2, 4, 7, 14, 19, 22, 26, 29, 31, 35, 41, 44, 45, 51, 56, 62, 68, 72, 76, 79, 82, 87, 88, 913.3.3.3.3.3.4.5.5.5.5.6.6.6.6 3.3.3.3.3.3.4.8.8.14.14.14(3).14(3).18(5).18(5) 3^6.4.5^4.6^4 6 17 32 54 88 129 168 221 280 346
3, 6, 9, 11, 17, 20, 24, 28, 33, 37, 42, 46, 49, 53, 57, 61, 64, 69, 74, 78, 80, 84, 86, 893.3.3.3.3.3.4.4.5.5.5.5.5(2).5(2).6(2) 3.3.3.3.3.3.4.4.8.8.8.14.14.14.14 3^6.4^2.5^6.6 6 16 32 56 86 124 166 224 284 346

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 192 of 192 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 192 of 192 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
kfi-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
1109 (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
2340 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.