Net topology

wpa

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

JSON · mfpx

144 vertices and 312 edges in the unit cell. 60 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 = 7.7251 Å, b = 7.7251 Å, c = 7.7251 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
144
Transitivity pqrs
2, 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 2 3 0 0 0 2 7 0 0 0 2 8 0 0 0 3 9 0 0 0 3 10 0 0 0 4 11 0 0 0 4 12 0 0 0 4 13 0 0 0 4 14 0 0 0 5 13 0 0 0 5 15 0 0 0 5 16 0 0 0 5 17 0 0 0 6 8 0 0 0 6 10 0 0 0 6 14 0 0 0 6 17 0 0 0 7 18 0 0 0 7 19 0 0 0 7 20 0 0 0 8 10 0 0 0 8 21 0 0 0 9 22 0 0 0 9 23 0 0 0 9 24 0 0 0 10 25 0 0 0 11 12 0 0 0 11 19 0 0 0 11 26 0 0 0 12 27 0 0 0 12 28 0 0 0 13 29 0 0 0 13 30 0 0 0 13 31 0 0 0 14 26 0 0 0 14 28 0 0 0 14 31 0 0 0 15 16 0 0 0 15 23 0 0 0 15 32 0 0 0 16 33 0 0 0 16 34 0 0 0 17 31 0 0 0 17 32 0 0 0 17 34 0 0 0 18 20 0 0 0 18 35 0 0 0 18 36 0 0 0 19 36 0 0 0 19 37 0 0 0 20 37 0 0 0 20 38 0 0 0 20 39 0 0 0 21 39 0 0 0 21 40 0 0 0 21 41 0 0 0 22 24 0 0 0 22 42 0 0 0 22 43 0 0 0 23 43 0 0 0 23 44 0 0 0 24 44 0 0 0 24 45 0 0 0 24 46 0 0 0 25 46 0 0 0 25 47 0 0 0 25 48 0 0 0 26 28 0 0 0 26 40 0 0 0 27 45 1 0 0 27 49 0 0 0 27 50 0 0 0 28 51 0 0 0 29 30 0 0 0 29 50 0 0 0 29 52 0 0 0 30 53 0 0 0 30 54 0 0 0 31 52 0 0 0 31 54 0 0 0 32 34 0 0 0 32 47 0 0 0 33 38 0 1 0 33 53 0 0 0 33 55 0 0 0 34 56 0 0 0 35 57 0 0 0 35 58 0 0 0 35 59 0 0 0 36 37 0 0 0 36 60 0 0 0 37 61 0 0 0 37 62 0 0 0 38 55 0 -1 0 38 61 0 0 0 38 63 0 0 0 39 41 0 0 0 39 62 0 0 0 39 63 0 0 0 40 62 0 0 0 40 64 0 0 0 41 64 0 0 0 41 65 0 0 0 42 66 0 0 0 42 67 0 0 0 42 68 0 0 0 43 44 0 0 0 43 64 0 0 1 44 69 0 0 0 44 70 0 0 0 45 49 -1 0 0 45 69 0 0 0 45 71 0 0 0 46 48 0 0 0 46 70 0 0 0 46 71 0 0 0 47 60 -1 1 -1 47 70 0 0 0 48 60 -1 1 -1 48 72 0 0 0 49 65 1 0 1 49 68 1 0 0 50 65 1 0 1 50 69 1 0 0 51 58 0 1 -1 51 59 0 1 -1 51 71 1 0 0 52 54 0 0 0 52 58 0 1 -1 53 61 0 1 0 53 72 1 0 1 54 67 0 1 -1 55 59 0 1 0 55 72 1 0 1 56 63 0 1 0 56 67 0 1 -1 56 68 0 1 -1 57 58 0 0 0 57 69 1 -1 1 57 70 1 -1 1 57 71 1 -1 1 59 71 1 -1 1 60 70 1 -1 1 61 66 0 0 -1 61 72 1 -1 1 62 64 0 0 0 62 66 0 0 -1 63 66 0 0 -1 63 68 0 0 -1 65 69 0 0 -1 66 67 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
092e02f633162b1dbabf8351b307e892 (rcsr)

Vertices

The mapping of coordination sequences onto vertex classes that the source supplied was checked against a walk over the periodic topology of the net itself, one walk per vertex class, and agreed. The sequences are the values the source supplied; the walk settled nothing but which class each one describes.

Corroborated: 144 of 144 stored symbols were recomputed from the topology of the net itself and agree, entry for entry. A vertex symbol of this collection names the shortest cycle at each angle of a vertex, and mofpp.rings v2 (mofplus-deposit) walks those cycles on the deposit graph. The strings shown are still the values the source supplied; what was checked is that they are the values this net has.

Site symmetry. 144 of 144 vertex rows carry one, attributed to computed:mofpp.site_symmetry-v1 (spglib-2.7.0, mofplus-deposit). The site symmetry on each vertex row is the point group of the operations of the net's ideal space group that leave that vertex where it is — its Wyckoff position in the net's maximum-symmetry embedding. It is a property of the net, not of any material built on it, and it is what says whether a four-coordinated vertex is tetrahedral (-43m) or square-planar (4/mmm) — a distinction the coordination number cannot make. Computed in Im-3m, setting the conventional one, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the mofplus-deposit. spglib determined the same space group from those coordinates independently, which is a check of two different computations against each other rather than a restatement.

One row per distinct vertex. The coordination sequence counts how many vertices lie at each topological distance; the vertex symbol names the shortest ring at each angle of the vertex; the site symmetry is the vertex's Wyckoff position in the net's maximum-symmetry embedding. The three columns do not carry the same warrant: which of them was corroborated, which was not, and which was computed here, is stated above the table.
# Coordination Site symmetry Vertex symbol Coordination sequence
0 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
1 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
2 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
3 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
4 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
5 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
6 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
7 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
8 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
9 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
10 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
11 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
12 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
13 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
14 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
15 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
16 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
17 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
18 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
19 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
20 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
21 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
22 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
23 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
24 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
25 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
26 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
27 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
28 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
29 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
30 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
31 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
32 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
33 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
34 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
35 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
36 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
37 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
38 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
39 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
40 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
41 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
42 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
43 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
44 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
45 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
46 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
47 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
48 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
49 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
50 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
51 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
52 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
53 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
54 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
55 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
56 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
57 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
58 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
59 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
60 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
61 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
62 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
63 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
64 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
65 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
66 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
67 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
68 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
69 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
70 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
71 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
72 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
73 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
74 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
75 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
76 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
77 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
78 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
79 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
80 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
81 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
82 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
83 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
84 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
85 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
86 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
87 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
88 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
89 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
90 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
91 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
92 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
93 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
94 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
95 4 13.4.4.6.6.74 9 18 27 38 54 76 103 130 162
96 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
97 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
98 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
99 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
100 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
101 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
102 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
103 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
104 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
105 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
106 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
107 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
108 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
109 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
110 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
111 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
112 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
113 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
114 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
115 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
116 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
117 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
118 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
119 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
120 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
121 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
122 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
123 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
124 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
125 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
126 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
127 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
128 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
129 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
130 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
131 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
132 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
133 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
134 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
135 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
136 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
137 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
138 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
139 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
140 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
141 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
142 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162
143 5 m3.4.4.4.4.4.6.6.6(2).6(2)5 11 17 24 36 56 79 102 129 162

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)
2, 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)
wpa
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 2 3 0 0 0 2 7 0 0 0 2 8 0 0 0 3 9 0 0 0 3 10 0 0 0 4 11 0 0 0 4 12 0 0 0 4 13 0 0 0 4 14 0 0 0 5 13 0 0 0 5 15 0 0 0 5 16 0 0 0 5 17 0 0 0 6 8 0 0 0 6 10 0 0 0 6 14 0 0 0 6 17 0 0 0 7 18 0 0 0 7 19 0 0 0 7 20 0 0 0 8 10 0 0 0 8 21 0 0 0 9 22 0 0 0 9 23 0 0 0 9 24 0 0 0 10 25 0 0 0 11 12 0 0 0 11 19 0 0 0 11 26 0 0 0 12 27 0 0 0 12 28 0 0 0 13 29 0 0 0 13 30 0 0 0 13 31 0 0 0 14 26 0 0 0 14 28 0 0 0 14 31 0 0 0 15 16 0 0 0 15 23 0 0 0 15 32 0 0 0 16 33 0 0 0 16 34 0 0 0 17 31 0 0 0 17 32 0 0 0 17 34 0 0 0 18 20 0 0 0 18 35 0 0 0 18 36 0 0 0 19 36 0 0 0 19 37 0 0 0 20 37 0 0 0 20 38 0 0 0 20 39 0 0 0 21 39 0 0 0 21 40 0 0 0 21 41 0 0 0 22 24 0 0 0 22 42 0 0 0 22 43 0 0 0 23 43 0 0 0 23 44 0 0 0 24 44 0 0 0 24 45 0 0 0 24 46 0 0 0 25 46 0 0 0 25 47 0 0 0 25 48 0 0 0 26 28 0 0 0 26 40 0 0 0 27 45 1 0 0 27 49 0 0 0 27 50 0 0 0 28 51 0 0 0 29 30 0 0 0 29 50 0 0 0 29 52 0 0 0 30 53 0 0 0 30 54 0 0 0 31 52 0 0 0 31 54 0 0 0 32 34 0 0 0 32 47 0 0 0 33 38 0 1 0 33 53 0 0 0 33 55 0 0 0 34 56 0 0 0 35 57 0 0 0 35 58 0 0 0 35 59 0 0 0 36 37 0 0 0 36 60 0 0 0 37 61 0 0 0 37 62 0 0 0 38 55 0 -1 0 38 61 0 0 0 38 63 0 0 0 39 41 0 0 0 39 62 0 0 0 39 63 0 0 0 40 62 0 0 0 40 64 0 0 0 41 64 0 0 0 41 65 0 0 0 42 66 0 0 0 42 67 0 0 0 42 68 0 0 0 43 44 0 0 0 43 64 0 0 1 44 69 0 0 0 44 70 0 0 0 45 49 -1 0 0 45 69 0 0 0 45 71 0 0 0 46 48 0 0 0 46 70 0 0 0 46 71 0 0 0 47 60 -1 1 -1 47 70 0 0 0 48 60 -1 1 -1 48 72 0 0 0 49 65 1 0 1 49 68 1 0 0 50 65 1 0 1 50 69 1 0 0 51 58 0 1 -1 51 59 0 1 -1 51 71 1 0 0 52 54 0 0 0 52 58 0 1 -1 53 61 0 1 0 53 72 1 0 1 54 67 0 1 -1 55 59 0 1 0 55 72 1 0 1 56 63 0 1 0 56 67 0 1 -1 56 68 0 1 -1 57 58 0 0 0 57 69 1 -1 1 57 70 1 -1 1 57 71 1 -1 1 59 71 1 -1 1 60 70 1 -1 1 61 66 0 0 -1 61 72 1 -1 1 62 64 0 0 0 62 66 0 0 -1 63 66 0 0 -1 63 68 0 0 -1 65 69 0 0 -1 66 67 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
622
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)
622.0
Genus (mofplus-deposit)
85
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)
622.0
Genus (rcsr-archive-key)
85
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)
(3.4^2.6^2.7)2(3.4^5.6^4)
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, 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, 953.4.4.6.6.7 3.4.4.6.6.12 3.4^2.6^2.7 4 9 18 27 38 54 76 103 130 162
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, 1433.4.4.4.4.4.6.6.6(2).6(2) 3.4.4.4.4.4.6.6.24.24 3.4^5.6^4 5 11 17 24 36 56 79 102 129 162

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

Net point symbol (rcsr-archive-key)
(3.4^2.6^2.7)2(3.4^5.6^4)
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, 3, 4, 5, 12, 13, 16, 19, 23, 30, 36, 37, 38, 43, 44, 45, 56, 60, 61, 62, 65, 68, 69, 703.4.4.4.4.4.6.6.6(2).6(2) 3.4.4.4.4.4.6.6.24.24 3.4^5.6^4 5 11 17 24 36 56 79 102 129 162
1, 2, 6, 7, 8, 9, 10, 11, 14, 15, 17, 18, 20, 21, 22, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 39, 40, 41, 42, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 63, 64, 66, 67, 713.4.4.6.6.7 3.4.4.6.6.12 3.4^2.6^2.7 4 9 18 27 38 54 76 103 130 162

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 144 of 144 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 144 of 144 vertex rows agree with mofpp.invariants v2 (mofplus-deposit), compared on the stored length.
Catenation against the name heuristic
No; agrees with the computed value

Provenance

Source
rcsr+mofplus — reconciled from both, field by field
Identifier at the source
wpa
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
2664 (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
2288 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.