Net topology

idp-a

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

JSON · mfpx

144 vertices and 264 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
Im-3 (No. 204)
Cell lengths
a = 8.5761 Å, b = 8.5761 Å, c = 8.5761 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
144
Transitivity pqrs
4, 8, *, *
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 4 0 0 0 2 7 0 0 0 2 8 0 0 0 3 5 0 0 0 3 8 0 0 0 3 9 0 0 0 4 5 0 0 0 4 8 0 0 0 4 10 0 0 0 5 8 0 0 0 5 11 0 0 0 6 12 0 0 0 6 13 0 0 0 7 14 0 0 0 7 15 0 0 0 8 16 0 0 0 9 17 0 0 0 9 18 0 0 0 10 19 0 0 0 10 20 0 0 0 11 21 0 0 0 11 22 0 0 0 12 13 0 0 0 12 23 0 0 0 13 24 0 0 0 14 15 0 0 0 14 25 0 0 0 15 26 0 0 0 16 27 0 0 0 16 28 0 0 0 17 18 0 0 0 17 29 0 0 0 18 30 0 0 0 19 20 0 0 0 19 31 0 0 0 20 32 0 0 0 21 22 0 0 0 21 33 0 0 0 22 34 0 0 0 23 35 0 0 0 23 36 0 0 0 23 37 0 0 0 23 38 0 0 0 24 39 0 0 0 24 40 0 0 0 25 41 0 0 0 25 42 0 0 0 25 43 0 0 0 25 44 0 0 0 26 45 0 0 0 26 46 0 0 0 27 28 0 0 0 27 47 0 0 0 28 48 0 0 0 29 49 0 0 0 29 50 0 0 0 30 51 0 0 0 30 52 0 0 0 30 53 0 0 0 30 54 0 0 0 31 51 1 0 0 31 52 1 0 0 31 53 1 0 0 31 54 1 0 0 32 49 0 1 0 32 50 0 1 0 33 45 0 0 1 33 46 0 0 1 34 41 0 1 1 34 42 0 1 1 34 43 0 1 1 34 44 0 1 1 35 36 0 0 0 35 37 0 0 0 35 48 -1 1 -1 35 55 0 0 0 36 38 0 0 0 36 48 -1 1 -1 36 56 0 0 0 37 38 0 0 0 37 48 -1 1 -1 37 57 0 0 0 38 48 -1 1 -1 38 58 0 0 0 39 47 -1 1 0 39 59 0 0 0 40 47 -1 1 0 40 60 0 0 0 41 42 0 0 0 41 43 0 0 0 41 61 0 0 0 42 44 0 0 0 42 62 0 0 0 43 44 0 0 0 43 63 0 0 0 44 64 0 0 0 45 65 0 0 0 46 66 0 0 0 49 67 0 0 0 50 68 0 0 0 51 52 0 0 0 51 53 0 0 0 51 69 0 0 0 52 54 0 0 0 52 70 0 0 0 53 54 0 0 0 53 71 0 0 0 54 72 0 0 0 55 66 0 0 0 55 72 0 0 -1 56 64 -1 1 0 56 68 -1 1 -1 57 61 0 1 0 57 67 0 1 0 58 65 -1 1 0 58 69 0 1 0 59 62 -1 1 0 59 71 0 0 0 60 63 0 1 1 60 70 0 1 0 61 67 0 0 0 62 71 1 -1 0 63 70 0 0 -1 64 68 0 0 -1 65 69 1 0 0 66 72 0 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
c41458b25597e7ecd9f5948e5e75380d (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-3, 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 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
1 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
2 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
3 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
4 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
5 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
6 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
7 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
8 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
9 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
10 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
11 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
12 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
13 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
14 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
15 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
16 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
17 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
18 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
19 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
20 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
21 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
22 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
23 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
24 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
25 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
26 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
27 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
28 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
29 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
30 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
31 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
32 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
33 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
34 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
35 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
36 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
37 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
38 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
39 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
40 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
41 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
42 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
43 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
44 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
45 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
46 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
47 5 13.3.3.3.4(3).4(3).12.12.12.125 7 11 16 34 48 52 68 95 134
48 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
49 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
50 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
51 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
52 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
53 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
54 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
55 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
56 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
57 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
58 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
59 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
60 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
61 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
62 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
63 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
64 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
65 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
66 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
67 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
68 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
69 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
70 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
71 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
72 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
73 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
74 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
75 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
76 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
77 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
78 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
79 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
80 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
81 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
82 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
83 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
84 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
85 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
86 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
87 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
88 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
89 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
90 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
91 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
92 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
93 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
94 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
95 3 13.12(2).12(2)3 6 11 17 24 38 58 76 80 104
96 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
97 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
98 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
99 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
100 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
101 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
102 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
103 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
104 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
105 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
106 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
107 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
108 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
109 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
110 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
111 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
112 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
113 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
114 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
115 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
116 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
117 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
118 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
119 3 m3.12(2).12(2)3 4 11 15 24 34 56 78 80 106
120 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
121 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
122 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
123 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
124 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
125 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
126 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
127 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
128 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
129 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
130 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
131 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
132 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
133 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
134 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
135 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
136 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
137 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
138 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
139 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
140 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
141 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
142 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138
143 3 m4.12(2).12(2)3 5 7 14 28 42 50 66 104 138

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-3 (No. 204)
Transitivity p, q (mofplus-deposit)
4, 8 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)
24
Repeat-unit factor (mofplus-deposit)
2
RCSR identification (mofplus-deposit)
idp-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 4 0 0 0 2 7 0 0 0 2 8 0 0 0 3 5 0 0 0 3 8 0 0 0 3 9 0 0 0 4 5 0 0 0 4 8 0 0 0 4 10 0 0 0 5 8 0 0 0 5 11 0 0 0 6 12 0 0 0 6 13 0 0 0 7 14 0 0 0 7 15 0 0 0 8 16 0 0 0 9 17 0 0 0 9 18 0 0 0 10 19 0 0 0 10 20 0 0 0 11 21 0 0 0 11 22 0 0 0 12 13 0 0 0 12 23 0 0 0 13 24 0 0 0 14 15 0 0 0 14 25 0 0 0 15 26 0 0 0 16 27 0 0 0 16 28 0 0 0 17 18 0 0 0 17 29 0 0 0 18 30 0 0 0 19 20 0 0 0 19 31 0 0 0 20 32 0 0 0 21 22 0 0 0 21 33 0 0 0 22 34 0 0 0 23 35 0 0 0 23 36 0 0 0 23 37 0 0 0 23 38 0 0 0 24 39 0 0 0 24 40 0 0 0 25 41 0 0 0 25 42 0 0 0 25 43 0 0 0 25 44 0 0 0 26 45 0 0 0 26 46 0 0 0 27 28 0 0 0 27 47 0 0 0 28 48 0 0 0 29 49 0 0 0 29 50 0 0 0 30 51 0 0 0 30 52 0 0 0 30 53 0 0 0 30 54 0 0 0 31 51 1 0 0 31 52 1 0 0 31 53 1 0 0 31 54 1 0 0 32 49 0 1 0 32 50 0 1 0 33 45 0 0 1 33 46 0 0 1 34 41 0 1 1 34 42 0 1 1 34 43 0 1 1 34 44 0 1 1 35 36 0 0 0 35 37 0 0 0 35 48 -1 1 -1 35 55 0 0 0 36 38 0 0 0 36 48 -1 1 -1 36 56 0 0 0 37 38 0 0 0 37 48 -1 1 -1 37 57 0 0 0 38 48 -1 1 -1 38 58 0 0 0 39 47 -1 1 0 39 59 0 0 0 40 47 -1 1 0 40 60 0 0 0 41 42 0 0 0 41 43 0 0 0 41 61 0 0 0 42 44 0 0 0 42 62 0 0 0 43 44 0 0 0 43 63 0 0 0 44 64 0 0 0 45 65 0 0 0 46 66 0 0 0 49 67 0 0 0 50 68 0 0 0 51 52 0 0 0 51 53 0 0 0 51 69 0 0 0 52 54 0 0 0 52 70 0 0 0 53 54 0 0 0 53 71 0 0 0 54 72 0 0 0 55 66 0 0 0 55 72 0 0 -1 56 64 -1 1 0 56 68 -1 1 -1 57 61 0 1 0 57 67 0 1 0 58 65 -1 1 0 58 69 0 1 0 59 62 -1 1 0 59 71 0 0 0 60 63 0 1 1 60 70 0 1 0 61 67 0 0 0 62 71 1 -1 0 63 70 0 0 -1 64 68 0 0 -1 65 69 1 0 0 66 72 0 0 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
441
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)
441.3333333333333
Genus (mofplus-deposit)
61
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)
441.3333333333333
Genus (rcsr-archive-key)
61
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)
(3.12^2)3(4.12^2)(3^4.4^2.12^4)2
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, 473.3.3.3.4(3).4(3).12.12.12.12 3.3.3.3.4.4.12.12.12.12 3^4.4^2.12^4 5 7 11 16 34 48 52 68 95 134
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, 953.12(2).12(2) 3.12(2).12(2) 3.12^2 3 6 11 17 24 38 58 76 80 104
96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 1193.12(2).12(2) 3.12(2).12(2) 3.12^2 3 4 11 15 24 34 56 78 80 106
120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 1434.12(2).12(2) 4.12(2).12(2) 4.12^2 3 5 7 14 28 42 50 66 104 138

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

Net point symbol (rcsr-archive-key)
(3.12^2)3(4.12^2)(3^4.4^2.12^4)2
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, 1, 2, 3, 4, 7, 22, 24, 29, 30, 33, 34, 35, 36, 37, 40, 41, 42, 43, 47, 50, 51, 52, 533.3.3.3.4(3).4(3).12.12.12.12 3.3.3.3.4.4.12.12.12.12 3^4.4^2.12^4 5 7 11 16 34 48 52 68 95 134
5, 6, 8, 9, 10, 11, 13, 15, 17, 18, 21, 27, 54, 55, 56, 57, 60, 61, 62, 63, 68, 69, 70, 713.12(2).12(2) 3.12(2).12(2) 3.12^2 3 6 11 17 24 38 58 76 80 104
12, 14, 16, 19, 20, 26, 58, 59, 64, 65, 66, 673.12(2).12(2) 3.12(2).12(2) 3.12^2 3 4 11 15 24 34 56 78 80 106
23, 25, 28, 31, 32, 38, 39, 44, 45, 46, 48, 494.12(2).12(2) 4.12(2).12(2) 4.12^2 3 5 7 14 28 42 50 66 104 138

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
idp-a
Retrieved
2026-09-08
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
1017 (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
2269 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.