Net topology

csp

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

JSON · mfpx

120 vertices and 240 edges in the unit cell. 36 of them leave the cell and continue into a neighbouring one; those are drawn in the accent colour and end at a hollow node. Squares are vertices of coordination 5 or more, circles of 4 or fewer. Drag to rotate, or focus the figure and use the arrow keys.

Crystallographic description

Spacegroup
Pm-3n (No. 223)
Cell lengths
a = 6.2021 Å, b = 6.2021 Å, c = 6.2021 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
120
Transitivity pqrs
3, 7, *, *
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 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 13 0 0 0 5 14 0 0 0 5 15 0 0 0 6 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 19 0 0 0 7 20 0 0 0 8 21 0 0 0 8 22 0 0 0 9 20 0 0 0 9 23 0 0 0 9 24 0 0 0 10 25 0 0 0 10 26 0 0 0 10 27 0 0 0 11 22 0 0 0 11 23 0 0 0 11 28 0 0 0 12 14 0 0 0 12 29 0 0 0 12 30 0 0 0 13 18 0 0 0 13 31 0 0 0 13 32 0 0 0 14 32 0 0 0 14 33 0 0 0 15 27 0 0 0 15 31 0 0 0 15 34 0 0 0 16 35 0 0 0 16 36 0 0 0 16 37 0 0 0 17 21 0 0 0 17 38 0 0 0 17 39 0 0 0 18 37 0 0 0 18 40 0 0 0 19 36 0 0 0 19 41 0 0 0 19 42 0 0 0 20 43 0 0 0 20 44 0 0 0 21 45 0 0 0 21 46 0 0 0 22 44 0 0 0 22 47 0 0 0 23 44 0 0 0 23 48 0 0 0 24 26 0 0 0 24 49 0 0 0 24 50 0 0 0 25 42 0 0 0 25 51 0 0 0 25 52 0 0 0 26 38 1 0 0 26 39 1 0 0 27 52 0 0 0 27 53 0 0 0 28 54 0 0 0 28 55 0 0 0 28 56 0 0 0 29 46 0 0 0 29 57 0 0 0 29 58 0 0 0 30 56 0 0 0 30 58 0 0 0 30 59 0 0 0 31 60 0 0 0 31 61 0 0 0 32 62 0 0 0 32 63 0 0 0 33 63 0 0 0 33 64 0 0 0 33 65 0 0 0 34 61 0 0 0 34 64 0 0 0 34 66 0 0 0 35 67 0 0 0 35 68 0 0 0 35 69 0 0 0 36 70 0 0 0 36 71 0 0 0 37 72 0 0 0 37 73 0 0 0 38 49 -1 0 0 38 68 0 0 0 39 46 0 0 0 39 74 0 0 0 40 62 0 0 0 40 74 0 0 0 40 75 0 0 0 41 43 0 0 0 41 76 0 0 0 41 77 0 0 0 42 71 0 0 0 42 77 0 0 0 43 78 0 0 0 43 79 0 0 0 44 80 0 0 0 45 81 0 0 0 45 82 0 0 0 45 83 0 0 0 46 83 0 0 0 47 63 0 1 0 47 82 0 0 0 47 84 0 0 0 48 55 0 0 0 48 85 0 0 0 48 86 0 0 0 49 79 0 0 0 49 81 1 0 0 50 81 1 0 0 50 83 1 0 0 50 86 0 0 0 51 68 1 0 0 51 69 1 0 0 51 87 0 0 0 52 88 0 0 0 52 89 0 0 0 53 66 0 0 0 53 74 1 0 0 53 75 1 0 0 54 70 0 0 1 54 76 0 0 1 54 84 0 0 0 55 76 0 0 1 55 77 0 0 1 56 70 0 0 1 56 71 0 0 1 57 62 0 0 0 57 74 0 0 0 57 90 0 0 0 58 91 0 0 0 58 92 0 0 0 59 65 0 0 0 59 93 0 0 0 59 94 0 0 0 60 73 0 0 0 60 88 0 0 0 60 95 0 0 0 61 78 0 -1 0 61 80 0 -1 0 62 96 0 0 0 63 80 0 -1 0 64 80 0 -1 0 64 85 0 -1 0 65 97 0 0 0 65 98 0 0 0 66 99 0 0 0 66 100 0 0 0 67 70 0 0 0 67 91 0 0 -1 67 101 0 0 0 68 102 0 0 0 69 91 0 0 -1 69 103 0 0 0 71 94 0 0 -1 72 103 0 0 0 72 104 0 0 0 72 105 0 0 0 73 93 0 0 -1 73 94 0 0 -1 75 99 -1 0 0 75 105 0 0 0 76 106 0 0 0 77 87 0 0 0 78 95 0 1 0 78 107 0 0 0 79 102 1 0 0 79 107 0 0 0 81 108 0 0 0 82 96 0 1 0 82 109 0 0 0 83 110 0 0 0 84 97 0 1 0 84 109 0 0 0 85 98 0 1 0 85 111 0 0 0 86 111 0 0 0 86 112 0 0 0 87 102 1 0 0 87 112 0 0 -1 88 94 0 0 -1 88 113 0 0 0 89 103 1 0 0 89 105 1 0 0 89 114 0 0 0 90 96 0 0 0 90 100 -1 0 0 90 115 0 0 0 91 110 0 0 0 92 103 0 0 1 92 104 0 0 1 92 115 0 0 0 93 97 0 0 0 93 104 0 0 1 95 106 0 -1 0 95 113 0 0 0 96 108 0 -1 0 97 106 0 -1 1 98 106 0 -1 1 98 113 0 0 1 99 107 0 -1 0 99 108 1 -1 0 100 108 1 -1 0 100 111 0 -1 0 101 109 0 0 -1 101 110 0 0 -1 101 116 0 0 0 102 116 0 0 0 104 117 0 0 0 105 118 0 0 0 107 118 1 1 0 109 117 0 1 1 110 112 -1 0 0 111 119 0 0 0 112 116 1 0 1 113 114 0 0 0 114 118 1 0 0 114 119 0 -1 -1 115 117 0 0 1 115 119 -1 -1 0 116 120 0 0 0 117 120 0 -1 0 118 120 0 -1 0 119 120 1 0 1
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01 — and corroborated here rather than carried on the word of the archive alone. Systre 19.6.0 was run on the MOF+ deposit, the graph of the uploaded topology file and computed the same key, character for character, so two independent statements of the canonical form of this net agree. The computed key is served under topology.symmetry with the graph it was computed from and the version that computed it. The checksum beside this key is still the one the archive carries, copied from the same block and neither computed nor verified here.
Checksum
c1978a854ca71d47f7687da9549ddb48 (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: 120 of 120 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. 120 of 120 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 Pm-3n, setting the conventional one, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the mofplus-deposit. spglib determined the same space group from those coordinates independently, which is a check of two different computations against each other rather than a restatement.

One row per distinct vertex. The coordination sequence counts how many vertices lie at each topological distance; the vertex symbol names the shortest ring at each angle of the vertex; the site symmetry is the vertex's Wyckoff position in the net's maximum-symmetry embedding. The three columns do not carry the same warrant: which of them was corroborated, which was not, and which was computed here, is stated above the table.
# Coordination Site symmetry Vertex symbol Coordination sequence
0 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
1 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
2 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
3 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
4 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
5 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
6 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
7 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
8 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
9 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
10 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
11 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
12 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
13 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
14 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
15 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
16 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
17 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
18 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
19 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
20 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
21 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
22 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
23 4 m4.5.6.6.6.64 11 22 36 52 78 116 149 180 221
24 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
25 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
26 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
27 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
28 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
29 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
30 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
31 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
32 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
33 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
34 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
35 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
36 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
37 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
38 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
39 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
40 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
41 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
42 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
43 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
44 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
45 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
46 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
47 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
48 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
49 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
50 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
51 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
52 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
53 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
54 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
55 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
56 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
57 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
58 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
59 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
60 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
61 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
62 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
63 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
64 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
65 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
66 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
67 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
68 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
69 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
70 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
71 4 14.4.5.6.6.6(2)4 10 20 34 53 78 105 141 182 225
72 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
73 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
74 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
75 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
76 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
77 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
78 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
79 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
80 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
81 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
82 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
83 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
84 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
85 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
86 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
87 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
88 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
89 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
90 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
91 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
92 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
93 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
94 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
95 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
96 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
97 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
98 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
99 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
100 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
101 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
102 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
103 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
104 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
105 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
106 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
107 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
108 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
109 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
110 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
111 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
112 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
113 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
114 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
115 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
116 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
117 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
118 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230
119 4 14.4.5.6.6.6(2)4 10 19 34 53 76 105 137 179 230

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)
Pm-3n (No. 223)
Transitivity p, q (mofplus-deposit)
3, 7 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)
1
RCSR identification (mofplus-deposit)
csp
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 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 13 0 0 0 5 14 0 0 0 5 15 0 0 0 6 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 19 0 0 0 7 20 0 0 0 8 21 0 0 0 8 22 0 0 0 9 20 0 0 0 9 23 0 0 0 9 24 0 0 0 10 25 0 0 0 10 26 0 0 0 10 27 0 0 0 11 22 0 0 0 11 23 0 0 0 11 28 0 0 0 12 14 0 0 0 12 29 0 0 0 12 30 0 0 0 13 18 0 0 0 13 31 0 0 0 13 32 0 0 0 14 32 0 0 0 14 33 0 0 0 15 27 0 0 0 15 31 0 0 0 15 34 0 0 0 16 35 0 0 0 16 36 0 0 0 16 37 0 0 0 17 21 0 0 0 17 38 0 0 0 17 39 0 0 0 18 37 0 0 0 18 40 0 0 0 19 36 0 0 0 19 41 0 0 0 19 42 0 0 0 20 43 0 0 0 20 44 0 0 0 21 45 0 0 0 21 46 0 0 0 22 44 0 0 0 22 47 0 0 0 23 44 0 0 0 23 48 0 0 0 24 26 0 0 0 24 49 0 0 0 24 50 0 0 0 25 42 0 0 0 25 51 0 0 0 25 52 0 0 0 26 38 1 0 0 26 39 1 0 0 27 52 0 0 0 27 53 0 0 0 28 54 0 0 0 28 55 0 0 0 28 56 0 0 0 29 46 0 0 0 29 57 0 0 0 29 58 0 0 0 30 56 0 0 0 30 58 0 0 0 30 59 0 0 0 31 60 0 0 0 31 61 0 0 0 32 62 0 0 0 32 63 0 0 0 33 63 0 0 0 33 64 0 0 0 33 65 0 0 0 34 61 0 0 0 34 64 0 0 0 34 66 0 0 0 35 67 0 0 0 35 68 0 0 0 35 69 0 0 0 36 70 0 0 0 36 71 0 0 0 37 72 0 0 0 37 73 0 0 0 38 49 -1 0 0 38 68 0 0 0 39 46 0 0 0 39 74 0 0 0 40 62 0 0 0 40 74 0 0 0 40 75 0 0 0 41 43 0 0 0 41 76 0 0 0 41 77 0 0 0 42 71 0 0 0 42 77 0 0 0 43 78 0 0 0 43 79 0 0 0 44 80 0 0 0 45 81 0 0 0 45 82 0 0 0 45 83 0 0 0 46 83 0 0 0 47 63 0 1 0 47 82 0 0 0 47 84 0 0 0 48 55 0 0 0 48 85 0 0 0 48 86 0 0 0 49 79 0 0 0 49 81 1 0 0 50 81 1 0 0 50 83 1 0 0 50 86 0 0 0 51 68 1 0 0 51 69 1 0 0 51 87 0 0 0 52 88 0 0 0 52 89 0 0 0 53 66 0 0 0 53 74 1 0 0 53 75 1 0 0 54 70 0 0 1 54 76 0 0 1 54 84 0 0 0 55 76 0 0 1 55 77 0 0 1 56 70 0 0 1 56 71 0 0 1 57 62 0 0 0 57 74 0 0 0 57 90 0 0 0 58 91 0 0 0 58 92 0 0 0 59 65 0 0 0 59 93 0 0 0 59 94 0 0 0 60 73 0 0 0 60 88 0 0 0 60 95 0 0 0 61 78 0 -1 0 61 80 0 -1 0 62 96 0 0 0 63 80 0 -1 0 64 80 0 -1 0 64 85 0 -1 0 65 97 0 0 0 65 98 0 0 0 66 99 0 0 0 66 100 0 0 0 67 70 0 0 0 67 91 0 0 -1 67 101 0 0 0 68 102 0 0 0 69 91 0 0 -1 69 103 0 0 0 71 94 0 0 -1 72 103 0 0 0 72 104 0 0 0 72 105 0 0 0 73 93 0 0 -1 73 94 0 0 -1 75 99 -1 0 0 75 105 0 0 0 76 106 0 0 0 77 87 0 0 0 78 95 0 1 0 78 107 0 0 0 79 102 1 0 0 79 107 0 0 0 81 108 0 0 0 82 96 0 1 0 82 109 0 0 0 83 110 0 0 0 84 97 0 1 0 84 109 0 0 0 85 98 0 1 0 85 111 0 0 0 86 111 0 0 0 86 112 0 0 0 87 102 1 0 0 87 112 0 0 -1 88 94 0 0 -1 88 113 0 0 0 89 103 1 0 0 89 105 1 0 0 89 114 0 0 0 90 96 0 0 0 90 100 -1 0 0 90 115 0 0 0 91 110 0 0 0 92 103 0 0 1 92 104 0 0 1 92 115 0 0 0 93 97 0 0 0 93 104 0 0 1 95 106 0 -1 0 95 113 0 0 0 96 108 0 -1 0 97 106 0 -1 1 98 106 0 -1 1 98 113 0 0 1 99 107 0 -1 0 99 108 1 -1 0 100 108 1 -1 0 100 111 0 -1 0 101 109 0 0 -1 101 110 0 0 -1 101 116 0 0 0 102 116 0 0 0 104 117 0 0 0 105 118 0 0 0 107 118 1 1 0 109 117 0 1 1 110 112 -1 0 0 111 119 0 0 0 112 116 1 0 1 113 114 0 0 0 114 118 1 0 0 114 119 0 -1 -1 115 117 0 0 1 115 119 -1 -1 0 116 120 0 0 0 117 120 0 -1 0 118 120 0 -1 0 119 120 1 0 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
854
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)
854.4
Genus (mofplus-deposit)
121
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)
854.4
Genus (rcsr-archive-key)
121
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)
(4.5.6^4)(4^2.5.6^3)4
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, 234.5.6.6.6.6 4.5.6.6.6.6 4.5.6^4 4 11 22 36 52 78 116 149 180 221
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, 714.4.5.6.6.6(2) 4.4.5.6.6.6 4^2.5.6^3 4 10 20 34 53 78 105 141 182 225
72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 1194.4.5.6.6.6(2) 4.4.5.6.6.6 4^2.5.6^3 4 10 19 34 53 76 105 137 179 230

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

Net point symbol (rcsr-archive-key)
(4.5.6^4)(4^2.5.6^3)4
Longest ring searched (rcsr-archive-key)
40
Computed by (rings, rcsr-archive-key)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 4, 6, 7, 8, 10, 18, 20, 23, 27, 30, 31, 32, 33, 37, 38, 43, 59, 61, 64, 65, 66, 67, 68, 69, 70, 73, 74, 75, 76, 79, 80, 82, 86, 89, 92, 93, 102, 103, 104, 105, 107, 109, 112, 113, 114, 115, 1194.4.5.6.6.6(2) 4.4.5.6.6.6 4^2.5.6^3 4 10 19 34 53 76 105 137 179 230
1, 2, 3, 12, 13, 14, 16, 19, 21, 22, 25, 34, 35, 39, 40, 41, 44, 45, 48, 49, 50, 52, 53, 54, 55, 56, 58, 60, 62, 63, 71, 72, 87, 88, 90, 91, 94, 95, 96, 97, 98, 99, 100, 101, 111, 116, 117, 1184.4.5.6.6.6(2) 4.4.5.6.6.6 4^2.5.6^3 4 10 20 34 53 78 105 141 182 225
5, 9, 11, 15, 17, 24, 26, 28, 29, 36, 42, 46, 47, 51, 57, 77, 78, 81, 83, 84, 85, 106, 108, 1104.5.6.6.6.6 4.5.6.6.6.6 4.5.6^4 4 11 22 36 52 78 116 149 180 221

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 120 of 120 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 120 of 120 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
csp
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
417 (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
2239 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.