Net topology

txt-a

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

JSON · mfpx

144 vertices and 288 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 = 6.3659 Å, b = 6.3659 Å, c = 6.3659 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
144
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 2 3 0 0 0 2 7 0 0 0 2 8 0 0 0 2 9 0 0 0 3 10 0 0 0 3 11 0 0 0 3 12 0 0 0 4 5 0 0 0 4 11 0 0 0 4 13 0 0 0 4 14 0 0 0 5 15 0 0 0 5 16 0 0 0 5 17 0 0 0 6 18 0 0 0 6 19 0 0 0 7 8 0 0 0 7 20 0 0 0 7 21 0 0 0 7 22 0 0 0 8 23 0 0 0 8 24 0 0 0 8 25 0 0 0 9 26 0 0 0 9 27 0 0 0 10 11 0 0 0 10 28 0 0 0 10 29 0 0 0 10 30 0 0 0 11 13 0 0 0 11 31 0 0 0 12 32 0 0 0 12 33 0 0 0 13 34 0 0 0 13 35 0 0 0 13 36 0 0 0 14 37 0 0 0 14 38 0 0 0 15 16 0 0 0 15 24 0 0 0 15 39 0 0 0 15 40 0 0 0 16 41 0 0 0 16 42 0 0 0 16 43 0 0 0 17 44 0 0 0 17 45 0 0 0 18 19 0 0 0 18 46 0 0 0 19 47 0 0 0 20 21 0 0 0 20 28 0 0 0 20 37 1 0 0 20 48 0 0 0 21 23 0 0 0 21 45 1 0 0 21 49 0 0 0 22 50 0 0 0 22 51 0 0 0 23 24 0 0 0 23 49 0 0 0 23 52 0 0 0 24 39 0 0 0 24 53 0 0 0 25 54 0 0 0 25 55 0 0 0 26 27 0 0 0 26 41 0 1 0 27 56 0 0 0 28 29 0 0 0 28 48 0 0 0 28 57 0 0 0 29 46 0 0 1 29 56 0 0 1 29 58 0 0 0 30 52 -1 1 1 30 59 0 0 0 31 53 -1 1 1 31 60 0 0 0 32 33 0 0 0 32 42 0 1 0 33 61 0 0 0 34 35 0 0 0 34 46 0 0 1 34 50 -1 0 1 34 62 0 0 0 35 42 0 0 0 35 54 -1 0 1 35 63 0 0 0 36 64 0 0 0 36 65 0 0 0 37 38 0 0 0 38 66 0 0 0 39 41 0 0 0 39 64 1 -1 -1 39 67 0 0 0 40 57 0 -1 -1 40 68 0 0 0 41 42 0 0 0 41 67 0 0 0 42 63 0 0 0 43 58 0 -1 -1 43 69 0 0 0 44 45 0 0 0 44 62 0 0 -1 46 56 0 0 0 46 62 0 0 -1 47 49 -1 1 0 47 61 0 0 0 47 66 0 0 0 47 67 -1 1 0 48 56 0 0 1 48 65 1 0 0 48 70 0 0 0 49 61 1 -1 0 49 69 1 0 0 50 51 0 0 0 51 67 0 1 0 52 59 1 -1 -1 53 60 1 -1 -1 54 55 0 0 0 55 70 0 0 -1 56 70 0 0 -1 57 68 0 1 1 58 69 0 1 1 59 63 0 1 0 60 71 0 0 0 61 70 -1 1 0 61 71 0 0 0 62 63 0 0 0 62 72 0 0 0 63 72 0 0 0 64 65 0 0 0 66 67 -1 1 0 66 71 0 0 0 66 72 -1 1 0 68 72 0 0 -1 70 71 1 -1 0 71 72 -1 1 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
37a72b0c3712102a3ab98bc7b504f402 (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 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
1 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
2 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
3 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
4 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
5 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
6 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
7 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
8 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
9 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
10 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
11 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
12 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
13 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
14 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
15 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
16 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
17 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
18 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
19 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
20 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
21 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
22 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
23 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
24 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
25 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
26 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
27 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
28 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
29 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
30 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
31 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
32 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
33 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
34 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
35 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
36 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
37 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
38 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
39 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
40 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
41 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
42 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
43 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
44 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
45 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
46 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
47 3 m3.8(2).8(2)3 6 19 45 69 104 130 163 233 315
48 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
49 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
50 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
51 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
52 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
53 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
54 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
55 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
56 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
57 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
58 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
59 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
60 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
61 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
62 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
63 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
64 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
65 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
66 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
67 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
68 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
69 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
70 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
71 3 mm23.8(2).8(2)3 6 20 42 72 99 134 163 218 310
72 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
73 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
74 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
75 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
76 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
77 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
78 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
79 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
80 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
81 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
82 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
83 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
84 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
85 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
86 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
87 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
88 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
89 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
90 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
91 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
92 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
93 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
94 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
95 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
96 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
97 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
98 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
99 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
100 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
101 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
102 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
103 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
104 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
105 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
106 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
107 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
108 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
109 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
110 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
111 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
112 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
113 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
114 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
115 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
116 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
117 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
118 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
119 5 m3.3.4.5.5.6(2).8.8.8.85 13 28 44 70 102 146 216 271 318
120 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
121 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
122 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
123 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
124 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
125 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
126 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
127 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
128 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
129 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
130 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
131 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
132 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
133 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
134 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
135 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
136 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
137 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
138 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
139 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
140 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
141 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
142 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316
143 5 mm23.3.6.6.7(2).7(2).8.8.8.85 14 26 46 66 103 154 199 276 316

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)
txt-a
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 2 9 0 0 0 3 10 0 0 0 3 11 0 0 0 3 12 0 0 0 4 5 0 0 0 4 11 0 0 0 4 13 0 0 0 4 14 0 0 0 5 15 0 0 0 5 16 0 0 0 5 17 0 0 0 6 18 0 0 0 6 19 0 0 0 7 8 0 0 0 7 20 0 0 0 7 21 0 0 0 7 22 0 0 0 8 23 0 0 0 8 24 0 0 0 8 25 0 0 0 9 26 0 0 0 9 27 0 0 0 10 11 0 0 0 10 28 0 0 0 10 29 0 0 0 10 30 0 0 0 11 13 0 0 0 11 31 0 0 0 12 32 0 0 0 12 33 0 0 0 13 34 0 0 0 13 35 0 0 0 13 36 0 0 0 14 37 0 0 0 14 38 0 0 0 15 16 0 0 0 15 24 0 0 0 15 39 0 0 0 15 40 0 0 0 16 41 0 0 0 16 42 0 0 0 16 43 0 0 0 17 44 0 0 0 17 45 0 0 0 18 19 0 0 0 18 46 0 0 0 19 47 0 0 0 20 21 0 0 0 20 28 0 0 0 20 37 1 0 0 20 48 0 0 0 21 23 0 0 0 21 45 1 0 0 21 49 0 0 0 22 50 0 0 0 22 51 0 0 0 23 24 0 0 0 23 49 0 0 0 23 52 0 0 0 24 39 0 0 0 24 53 0 0 0 25 54 0 0 0 25 55 0 0 0 26 27 0 0 0 26 41 0 1 0 27 56 0 0 0 28 29 0 0 0 28 48 0 0 0 28 57 0 0 0 29 46 0 0 1 29 56 0 0 1 29 58 0 0 0 30 52 -1 1 1 30 59 0 0 0 31 53 -1 1 1 31 60 0 0 0 32 33 0 0 0 32 42 0 1 0 33 61 0 0 0 34 35 0 0 0 34 46 0 0 1 34 50 -1 0 1 34 62 0 0 0 35 42 0 0 0 35 54 -1 0 1 35 63 0 0 0 36 64 0 0 0 36 65 0 0 0 37 38 0 0 0 38 66 0 0 0 39 41 0 0 0 39 64 1 -1 -1 39 67 0 0 0 40 57 0 -1 -1 40 68 0 0 0 41 42 0 0 0 41 67 0 0 0 42 63 0 0 0 43 58 0 -1 -1 43 69 0 0 0 44 45 0 0 0 44 62 0 0 -1 46 56 0 0 0 46 62 0 0 -1 47 49 -1 1 0 47 61 0 0 0 47 66 0 0 0 47 67 -1 1 0 48 56 0 0 1 48 65 1 0 0 48 70 0 0 0 49 61 1 -1 0 49 69 1 0 0 50 51 0 0 0 51 67 0 1 0 52 59 1 -1 -1 53 60 1 -1 -1 54 55 0 0 0 55 70 0 0 -1 56 70 0 0 -1 57 68 0 1 1 58 69 0 1 1 59 63 0 1 0 60 71 0 0 0 61 70 -1 1 0 61 71 0 0 0 62 63 0 0 0 62 72 0 0 0 63 72 0 0 0 64 65 0 0 0 66 67 -1 1 0 66 71 0 0 0 66 72 -1 1 0 68 72 0 0 -1 70 71 1 -1 0 71 72 -1 1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1146
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)
1146.3333333333333
Genus (mofplus-deposit)
73
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)
1146.3333333333333
Genus (rcsr-archive-key)
73
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)
(3.8^2)3(3^2.4.5^2.6.8^4)2(3^2.6^2.7^2.8^4)
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, 473.8(2).8(2) 3.8(2).8(2) 3.8^2 3 6 19 45 69 104 130 163 233 315
48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 713.8(2).8(2) 3.8(2).8(2) 3.8^2 3 6 20 42 72 99 134 163 218 310
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, 1193.3.4.5.5.6(2).8.8.8.8 3.3.4.6.8.8.8.8.12(2).12(2) 3^2.4.5^2.6.8^4 5 13 28 44 70 102 146 216 271 318
120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 1433.3.6.6.7(2).7(2).8.8.8.8 3.3.6.6.8.8.8.8.12(2).12(2) 3^2.6^2.7^2.8^4 5 14 26 46 66 103 154 199 276 316

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

Net point symbol (rcsr-archive-key)
(3.8^2)3(3^2.4.5^2.6.8^4)2(3^2.6^2.7^2.8^4)
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, 2, 3, 6, 7, 10, 14, 15, 20, 22, 27, 28, 33, 34, 38, 40, 46, 47, 55, 60, 61, 62, 65, 703.3.4.5.5.6(2).8.8.8.8 3.3.4.6.8.8.8.8.12(2).12(2) 3^2.4.5^2.6.8^4 5 13 28 44 70 102 146 216 271 318
1, 4, 9, 12, 19, 23, 41, 45, 48, 66, 69, 713.3.6.6.7(2).7(2).8.8.8.8 3.3.6.6.8.8.8.8.12(2).12(2) 3^2.6^2.7^2.8^4 5 14 26 46 66 103 154 199 276 316
5, 11, 13, 18, 21, 24, 25, 26, 30, 32, 37, 39, 42, 43, 44, 49, 51, 53, 56, 57, 58, 59, 63, 643.8(2).8(2) 3.8(2).8(2) 3.8^2 3 6 19 45 69 104 130 163 233 315
8, 16, 17, 29, 31, 35, 36, 50, 52, 54, 67, 683.8(2).8(2) 3.8(2).8(2) 3.8^2 3 6 20 42 72 99 134 163 218 310

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
txt-a
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
2156 (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
2283 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.