Net topology

jsb

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

JSON · mfpx

168 vertices and 336 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
Ia-3d (No. 230)
Cell lengths
a = 7.8064 Å, b = 7.8064 Å, c = 7.8064 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
168
Transitivity pqrs
3, 4, *, *
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 3 0 0 0 2 6 0 0 0 2 7 0 0 0 3 8 0 0 0 3 9 0 0 0 4 7 0 0 0 4 10 0 0 0 4 11 0 0 0 5 8 0 0 0 5 12 0 0 0 5 13 0 0 0 6 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 16 0 0 0 7 17 0 0 0 8 18 0 0 0 8 19 0 0 0 9 19 0 0 0 9 20 0 0 0 9 21 0 0 0 10 11 0 0 0 10 17 0 0 0 10 22 0 0 0 11 23 0 0 0 11 24 0 0 0 12 13 0 0 0 12 18 0 0 0 12 25 0 0 0 13 26 0 0 0 13 27 0 0 0 14 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 16 0 0 0 15 30 0 0 0 15 31 0 0 0 16 32 0 0 0 17 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 19 21 0 0 0 19 35 0 0 0 20 36 0 0 0 20 37 0 0 0 20 38 0 0 0 21 38 0 0 0 21 39 0 0 0 22 24 0 0 0 22 40 0 0 0 22 41 0 0 0 23 42 0 0 0 23 43 0 0 0 23 44 0 0 0 24 44 0 0 0 24 45 0 0 0 25 26 0 0 0 25 46 0 0 0 25 47 0 0 0 26 48 0 0 0 26 49 0 0 0 27 49 0 0 0 27 50 0 0 0 27 51 0 0 0 28 29 0 0 0 28 52 0 0 0 28 53 0 0 0 29 54 0 0 0 29 55 0 0 0 30 55 0 0 0 30 56 0 0 0 31 56 0 0 0 31 57 0 0 0 31 58 0 0 0 32 33 0 0 0 32 59 0 0 0 33 60 0 0 0 33 61 0 0 0 34 35 0 0 0 34 62 0 0 0 34 63 0 0 0 35 64 0 0 0 36 37 0 0 0 36 52 1 0 0 36 65 0 0 0 37 66 0 0 0 37 67 0 0 0 38 67 0 0 0 38 68 0 0 0 39 68 0 0 0 39 69 0 0 0 39 70 0 0 0 40 41 0 0 0 40 71 0 0 0 40 72 0 0 0 41 45 0 0 0 41 73 0 0 0 42 51 0 1 0 42 52 0 0 1 42 53 0 0 1 43 44 0 0 0 43 53 0 0 1 43 74 0 0 0 44 62 0 0 1 45 62 0 0 1 45 75 0 0 0 46 47 0 0 0 46 74 -1 -1 0 46 76 0 0 0 47 48 0 0 0 47 77 0 0 0 48 60 -1 -1 1 48 78 0 0 0 49 50 0 0 0 49 60 -1 -1 1 50 65 -1 -1 1 50 72 -1 -1 0 51 52 0 -1 1 51 65 -1 -1 1 53 54 0 0 0 54 70 0 1 -1 54 74 0 0 -1 55 64 0 1 0 55 79 0 0 0 56 57 0 0 0 56 79 0 0 0 57 71 -1 0 0 57 80 0 0 0 58 66 -1 0 1 58 71 -1 0 0 58 72 -1 0 0 59 61 0 0 0 59 67 0 1 0 59 81 0 0 0 60 78 1 1 -1 61 78 1 1 -1 61 82 0 0 0 62 75 0 0 -1 63 64 0 0 0 63 75 0 0 -1 63 83 0 0 0 64 79 0 -1 0 65 66 0 0 0 66 72 0 0 -1 67 81 0 -1 0 68 69 0 0 0 68 81 0 -1 0 69 76 1 0 0 69 80 1 0 0 70 74 0 -1 0 70 76 1 0 0 71 73 0 0 0 73 77 1 0 0 73 80 1 0 0 75 84 0 0 0 76 77 0 0 0 77 80 0 0 0 78 84 0 0 0 79 83 0 1 0 81 82 0 0 0 82 83 1 1 0 82 84 1 1 -1 83 84 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
d6222a8f4b4f8f86e59792a956091b3b (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: 168 of 168 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. 168 of 168 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 Ia-3d, 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 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
1 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
2 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
3 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
4 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
5 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
6 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
7 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
8 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
9 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
10 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
11 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
12 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
13 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
14 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
15 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
16 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
17 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
18 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
19 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
20 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
21 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
22 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
23 4 -44.4.4.4.6(2).6(2)4 8 12 24 36 62 76 104 128 168
24 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
25 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
26 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
27 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
28 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
29 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
30 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
31 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
32 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
33 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
34 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
35 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
36 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
37 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
38 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
39 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
40 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
41 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
42 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
43 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
44 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
45 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
46 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
47 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
48 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
49 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
50 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
51 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
52 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
53 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
54 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
55 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
56 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
57 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
58 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
59 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
60 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
61 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
62 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
63 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
64 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
65 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
66 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
67 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
68 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
69 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
70 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
71 4 23.4.4.5.5.74 8 14 24 38 65 82 108 134 176
72 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
73 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
74 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
75 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
76 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
77 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
78 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
79 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
80 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
81 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
82 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
83 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
84 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
85 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
86 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
87 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
88 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
89 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
90 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
91 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
92 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
93 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
94 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
95 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
96 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
97 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
98 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
99 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
100 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
101 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
102 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
103 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
104 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
105 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
106 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
107 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
108 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
109 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
110 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
111 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
112 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
113 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
114 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
115 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
116 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
117 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
118 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
119 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
120 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
121 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
122 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
123 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
124 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
125 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
126 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
127 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
128 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
129 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
130 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
131 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
132 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
133 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
134 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
135 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
136 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
137 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
138 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
139 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
140 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
141 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
142 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
143 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
144 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
145 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
146 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
147 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
148 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
149 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
150 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
151 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
152 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
153 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
154 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
155 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
156 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
157 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
158 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
159 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
160 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
161 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
162 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
163 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
164 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
165 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
166 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177
167 4 13.4.4.5.6.74 8 14 22 40 61 82 107 135 177

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)
Ia-3d (No. 230)
Transitivity p, q (mofplus-deposit)
3, 4 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)
jsb
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 3 0 0 0 2 6 0 0 0 2 7 0 0 0 3 8 0 0 0 3 9 0 0 0 4 7 0 0 0 4 10 0 0 0 4 11 0 0 0 5 8 0 0 0 5 12 0 0 0 5 13 0 0 0 6 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 16 0 0 0 7 17 0 0 0 8 18 0 0 0 8 19 0 0 0 9 19 0 0 0 9 20 0 0 0 9 21 0 0 0 10 11 0 0 0 10 17 0 0 0 10 22 0 0 0 11 23 0 0 0 11 24 0 0 0 12 13 0 0 0 12 18 0 0 0 12 25 0 0 0 13 26 0 0 0 13 27 0 0 0 14 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 16 0 0 0 15 30 0 0 0 15 31 0 0 0 16 32 0 0 0 17 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 19 21 0 0 0 19 35 0 0 0 20 36 0 0 0 20 37 0 0 0 20 38 0 0 0 21 38 0 0 0 21 39 0 0 0 22 24 0 0 0 22 40 0 0 0 22 41 0 0 0 23 42 0 0 0 23 43 0 0 0 23 44 0 0 0 24 44 0 0 0 24 45 0 0 0 25 26 0 0 0 25 46 0 0 0 25 47 0 0 0 26 48 0 0 0 26 49 0 0 0 27 49 0 0 0 27 50 0 0 0 27 51 0 0 0 28 29 0 0 0 28 52 0 0 0 28 53 0 0 0 29 54 0 0 0 29 55 0 0 0 30 55 0 0 0 30 56 0 0 0 31 56 0 0 0 31 57 0 0 0 31 58 0 0 0 32 33 0 0 0 32 59 0 0 0 33 60 0 0 0 33 61 0 0 0 34 35 0 0 0 34 62 0 0 0 34 63 0 0 0 35 64 0 0 0 36 37 0 0 0 36 52 1 0 0 36 65 0 0 0 37 66 0 0 0 37 67 0 0 0 38 67 0 0 0 38 68 0 0 0 39 68 0 0 0 39 69 0 0 0 39 70 0 0 0 40 41 0 0 0 40 71 0 0 0 40 72 0 0 0 41 45 0 0 0 41 73 0 0 0 42 51 0 1 0 42 52 0 0 1 42 53 0 0 1 43 44 0 0 0 43 53 0 0 1 43 74 0 0 0 44 62 0 0 1 45 62 0 0 1 45 75 0 0 0 46 47 0 0 0 46 74 -1 -1 0 46 76 0 0 0 47 48 0 0 0 47 77 0 0 0 48 60 -1 -1 1 48 78 0 0 0 49 50 0 0 0 49 60 -1 -1 1 50 65 -1 -1 1 50 72 -1 -1 0 51 52 0 -1 1 51 65 -1 -1 1 53 54 0 0 0 54 70 0 1 -1 54 74 0 0 -1 55 64 0 1 0 55 79 0 0 0 56 57 0 0 0 56 79 0 0 0 57 71 -1 0 0 57 80 0 0 0 58 66 -1 0 1 58 71 -1 0 0 58 72 -1 0 0 59 61 0 0 0 59 67 0 1 0 59 81 0 0 0 60 78 1 1 -1 61 78 1 1 -1 61 82 0 0 0 62 75 0 0 -1 63 64 0 0 0 63 75 0 0 -1 63 83 0 0 0 64 79 0 -1 0 65 66 0 0 0 66 72 0 0 -1 67 81 0 -1 0 68 69 0 0 0 68 81 0 -1 0 69 76 1 0 0 69 80 1 0 0 70 74 0 -1 0 70 76 1 0 0 71 73 0 0 0 73 77 1 0 0 73 80 1 0 0 75 84 0 0 0 76 77 0 0 0 77 80 0 0 0 78 84 0 0 0 79 83 0 1 0 81 82 0 0 0 82 83 1 1 0 82 84 1 1 -1 83 84 0 0 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
648
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)
647.8571428571429
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)
647.8571428571429
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)
(3.4^2.5.6.7)4(3.4^2.5^2.7)2(4^4.6^2)
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, 234.4.4.4.6(2).6(2) 4.4.4.4.12.12 4^4.6^2 4 8 12 24 36 62 76 104 128 168
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, 713.4.4.5.5.7 3.4.4.12.12.12 3.4^2.5^2.7 4 8 14 24 38 65 82 108 134 176
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, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 1673.4.4.5.6.7 3.4.4.12.12.12 3.4^2.5.6.7 4 8 14 22 40 61 82 107 135 177

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

Net point symbol (rcsr-archive-key)
(3.4^2.5.6.7)4(3.4^2.5^2.7)2(4^4.6^2)
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, 5, 8, 9, 11, 22, 26, 28, 30, 31, 34, 36, 38, 40, 46, 51, 59, 61, 71, 73, 78, 79, 80, 833.4.4.5.5.7 3.4.4.12.12.12 3.4^2.5^2.7 4 8 14 24 38 65 82 108 134 176
1, 2, 3, 4, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 27, 32, 33, 35, 39, 41, 42, 43, 44, 45, 47, 48, 49, 50, 53, 54, 55, 56, 57, 58, 63, 65, 66, 67, 68, 69, 72, 74, 76, 77, 81, 823.4.4.5.6.7 3.4.4.12.12.12 3.4^2.5.6.7 4 8 14 22 40 61 82 107 135 177
6, 7, 23, 25, 29, 37, 52, 60, 62, 64, 70, 754.4.4.4.6(2).6(2) 4.4.4.4.12.12 4^4.6^2 4 8 12 24 36 62 76 104 128 168

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 168 of 168 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 168 of 168 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
jsb
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
1073 (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
2295 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.