Net topology

sho-a

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

JSON · mfpx

144 vertices and 288 edges in the unit cell. 81 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 = 8.2978 Å, b = 8.2978 Å, c = 8.2978 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 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 23 0 0 0 12 24 0 0 0 13 24 0 0 0 13 25 0 0 0 14 26 0 0 0 14 27 0 0 0 15 28 0 0 0 15 29 0 0 0 16 30 0 0 0 16 31 0 0 0 17 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 20 38 0 0 0 20 39 0 0 0 21 40 0 0 0 21 41 0 0 0 22 42 0 0 0 22 43 0 0 0 23 29 0 0 0 23 35 0 0 0 23 44 0 0 0 23 45 0 0 0 24 46 0 0 0 25 38 0 0 0 25 42 0 0 0 25 47 0 0 0 25 48 0 0 0 26 48 1 0 0 26 49 0 0 0 27 36 0 0 0 27 50 0 0 0 27 51 0 0 0 27 52 0 0 0 28 49 0 0 0 28 53 0 0 0 29 35 0 0 0 29 44 0 0 0 29 54 0 0 0 30 52 0 0 0 30 55 0 0 0 31 55 0 0 0 31 56 0 0 0 32 47 0 1 0 32 57 0 0 0 33 40 0 0 0 33 56 0 0 0 33 58 0 0 0 33 59 0 0 0 34 57 0 0 0 34 60 0 0 0 35 45 0 0 0 35 54 0 0 0 36 51 0 0 0 36 52 0 0 0 36 60 0 0 1 37 45 0 0 1 37 61 0 0 0 38 42 0 0 0 38 47 0 0 0 38 62 0 0 0 39 58 0 -1 0 39 61 0 0 0 40 53 -1 1 1 40 56 0 0 0 40 59 0 0 0 41 44 -1 1 1 41 63 0 0 0 42 48 0 0 0 42 62 0 0 0 43 50 -1 0 0 43 63 0 0 0 44 45 0 0 0 44 54 0 0 0 45 54 0 0 0 46 64 0 0 0 46 65 0 0 0 46 66 0 0 0 46 67 0 0 0 47 48 0 0 0 47 62 0 0 0 48 62 0 0 0 49 67 1 0 0 50 51 0 0 0 50 52 0 0 0 50 60 0 0 1 51 60 0 0 1 51 68 0 0 0 52 60 0 0 1 53 56 1 -1 -1 53 58 1 -1 -1 53 59 1 -1 -1 54 69 0 0 0 55 70 0 0 0 56 58 0 0 0 57 66 0 1 0 58 59 0 0 0 59 71 0 0 0 61 65 0 0 1 62 72 0 0 0 63 64 -1 1 1 64 65 0 0 0 64 66 0 0 0 64 70 0 -1 -1 65 67 0 0 0 65 70 0 -1 -1 66 67 0 0 0 66 70 0 -1 -1 67 70 0 -1 -1 68 69 0 0 1 68 72 1 0 0 69 71 1 -1 -1 71 72 0 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
815f42574e98104399d5760237e4afd1 (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 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
1 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
2 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
3 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
4 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
5 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
6 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
7 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
8 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
9 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
10 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
11 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
12 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
13 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
14 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
15 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
16 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
17 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
18 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
19 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
20 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
21 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
22 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
23 3 mm24.8(2).8(2)3 7 14 19 25 38 59 87 102 109
24 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
25 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
26 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
27 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
28 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
29 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
30 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
31 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
32 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
33 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
34 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
35 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
36 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
37 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
38 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
39 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
40 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
41 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
42 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
43 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
44 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
45 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
46 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
47 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 23 31 54 69 71 102 133
48 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
49 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
50 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
51 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
52 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
53 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
54 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
55 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
56 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
57 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
58 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
59 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
60 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
61 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
62 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
63 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
64 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
65 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
66 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
67 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
68 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
69 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
70 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
71 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
72 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
73 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
74 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
75 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
76 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
77 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
78 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
79 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
80 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
81 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
82 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
83 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
84 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
85 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
86 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
87 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
88 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
89 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
90 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
91 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
92 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
93 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
94 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
95 5 23.3.3.3.4(3).4(3).8.8.8.85 7 13 23 33 55 64 71 101 133
96 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
97 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
98 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
99 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
100 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
101 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
102 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
103 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
104 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
105 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
106 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
107 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
108 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
109 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
110 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
111 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
112 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
113 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
114 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
115 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
116 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
117 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
118 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
119 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
120 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
121 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
122 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
123 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
124 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
125 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
126 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
127 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
128 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
129 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
130 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
131 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
132 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
133 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
134 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
135 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
136 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
137 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
138 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
139 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
140 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
141 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
142 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134
143 3 26.8(2).8(2)3 8 16 24 32 43 62 89 114 134

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)
sho-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 23 0 0 0 12 24 0 0 0 13 24 0 0 0 13 25 0 0 0 14 26 0 0 0 14 27 0 0 0 15 28 0 0 0 15 29 0 0 0 16 30 0 0 0 16 31 0 0 0 17 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 20 38 0 0 0 20 39 0 0 0 21 40 0 0 0 21 41 0 0 0 22 42 0 0 0 22 43 0 0 0 23 29 0 0 0 23 35 0 0 0 23 44 0 0 0 23 45 0 0 0 24 46 0 0 0 25 38 0 0 0 25 42 0 0 0 25 47 0 0 0 25 48 0 0 0 26 48 1 0 0 26 49 0 0 0 27 36 0 0 0 27 50 0 0 0 27 51 0 0 0 27 52 0 0 0 28 49 0 0 0 28 53 0 0 0 29 35 0 0 0 29 44 0 0 0 29 54 0 0 0 30 52 0 0 0 30 55 0 0 0 31 55 0 0 0 31 56 0 0 0 32 47 0 1 0 32 57 0 0 0 33 40 0 0 0 33 56 0 0 0 33 58 0 0 0 33 59 0 0 0 34 57 0 0 0 34 60 0 0 0 35 45 0 0 0 35 54 0 0 0 36 51 0 0 0 36 52 0 0 0 36 60 0 0 1 37 45 0 0 1 37 61 0 0 0 38 42 0 0 0 38 47 0 0 0 38 62 0 0 0 39 58 0 -1 0 39 61 0 0 0 40 53 -1 1 1 40 56 0 0 0 40 59 0 0 0 41 44 -1 1 1 41 63 0 0 0 42 48 0 0 0 42 62 0 0 0 43 50 -1 0 0 43 63 0 0 0 44 45 0 0 0 44 54 0 0 0 45 54 0 0 0 46 64 0 0 0 46 65 0 0 0 46 66 0 0 0 46 67 0 0 0 47 48 0 0 0 47 62 0 0 0 48 62 0 0 0 49 67 1 0 0 50 51 0 0 0 50 52 0 0 0 50 60 0 0 1 51 60 0 0 1 51 68 0 0 0 52 60 0 0 1 53 56 1 -1 -1 53 58 1 -1 -1 53 59 1 -1 -1 54 69 0 0 0 55 70 0 0 0 56 58 0 0 0 57 66 0 1 0 58 59 0 0 0 59 71 0 0 0 61 65 0 0 1 62 72 0 0 0 63 64 -1 1 1 64 65 0 0 0 64 66 0 0 0 64 70 0 -1 -1 65 67 0 0 0 65 70 0 -1 -1 66 67 0 0 0 66 70 0 -1 -1 67 70 0 -1 -1 68 69 0 0 1 68 72 1 0 0 69 71 1 -1 -1 71 72 0 1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
506
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)
506.0
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)
506.0
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)
(4.8^2)(6.8^2)2(3^4.4^2.8^4)3
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, 234.8(2).8(2) 4.8(2).8(2) 4.8^2 3 7 14 19 25 38 59 87 102 109
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).8.8.8.8 3.3.3.3.4.4.8.8.8.8 3^4.4^2.8^4 5 7 12 23 31 54 69 71 102 133
48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 953.3.3.3.4(3).4(3).8.8.8.8 3.3.3.3.4.4.8.8.8.8 3^4.4^2.8^4 5 7 13 23 33 55 64 71 101 133
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, 1436.8(2).8(2) 6.8(2).8(2) 6.8^2 3 8 16 24 32 43 62 89 114 134

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

Net point symbol (rcsr-archive-key)
(4.8^2)(6.8^2)2(3^4.4^2.8^4)3
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, 7, 22, 24, 45, 50, 51, 53, 55, 58, 61, 693.3.3.3.4(3).4(3).8.8.8.8 3.3.3.3.4.4.8.8.8.8 3^4.4^2.8^4 5 7 12 23 31 54 69 71 102 133
1, 2, 3, 4, 26, 28, 32, 34, 35, 37, 39, 41, 43, 44, 46, 47, 49, 52, 57, 59, 63, 64, 65, 663.3.3.3.4(3).4(3).8.8.8.8 3.3.3.3.4.4.8.8.8.8 3^4.4^2.8^4 5 7 13 23 33 55 64 71 101 133
5, 11, 12, 15, 23, 29, 30, 54, 67, 68, 70, 714.8(2).8(2) 4.8(2).8(2) 4.8^2 3 7 14 19 25 38 59 87 102 109
6, 8, 9, 10, 13, 14, 16, 17, 18, 19, 20, 21, 25, 27, 31, 33, 36, 38, 40, 42, 48, 56, 60, 626.8(2).8(2) 6.8(2).8(2) 6.8^2 3 8 16 24 32 43 62 89 114 134

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
sho-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
1734 (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
2282 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.