Net topology

ntt

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

JSON · mfpx

176 vertices and 288 edges in the unit cell. 48 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
Fm-3m (No. 225)
Cell lengths
a = 7.3485 Å, b = 7.3485 Å, c = 7.3485 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
176
Transitivity pqrs
3, 2, *, *
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 6 0 0 0 2 7 0 0 0 3 8 0 0 0 3 9 0 0 0 4 10 0 0 0 4 11 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 17 0 0 0 7 18 0 0 0 8 16 0 0 0 8 19 0 0 0 8 20 0 0 0 9 21 0 0 0 9 22 0 0 0 10 21 1 0 0 10 23 0 0 0 10 24 0 0 0 11 19 0 1 0 11 25 0 0 0 12 17 0 0 1 12 24 0 0 0 12 26 0 0 0 13 14 -1 1 1 13 27 0 0 0 14 28 0 0 0 15 29 0 0 0 15 30 0 0 0 16 31 0 0 0 17 32 0 0 0 18 28 -1 1 0 18 33 0 0 0 19 34 0 0 0 20 29 -1 0 1 20 35 0 0 0 21 36 0 0 0 22 33 0 0 0 22 34 -1 1 0 23 30 0 0 0 23 37 0 0 0 24 38 0 0 0 25 33 0 0 0 25 36 0 1 0 26 35 0 0 0 26 37 -1 0 1 27 32 -1 1 1 27 33 0 0 0 28 39 0 0 0 28 40 0 0 0 29 41 0 0 0 30 39 0 0 0 30 42 0 0 0 31 42 -1 0 0 31 43 0 0 0 32 41 0 0 0 32 43 0 0 0 34 40 0 0 0 34 44 0 0 0 35 43 0 0 1 35 44 0 0 0 36 41 -1 0 1 36 42 -1 0 0 37 40 0 1 0 38 39 -1 1 1 38 44 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
47794107d5b4ea19cde6e483577abacd (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: 176 of 176 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. 176 of 176 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 Fm-3m, setting the conventional one, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the mofplus-deposit. spglib determined the same space group from those coordinates independently, which is a check of two different computations against each other rather than a restatement.

One row per distinct vertex. The coordination sequence counts how many vertices lie at each topological distance; the vertex symbol names the shortest ring at each angle of the vertex; the site symmetry is the vertex's Wyckoff position in the net's maximum-symmetry embedding. The three columns do not carry the same warrant: which of them was corroborated, which was not, and which was computed here, is stated above the table.
# Coordination Site symmetry Vertex symbol Coordination sequence
0 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
1 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
2 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
3 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
4 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
5 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
6 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
7 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
8 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
9 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
10 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
11 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
12 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
13 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
14 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
15 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
16 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
17 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
18 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
19 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
20 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
21 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
22 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
23 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
24 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
25 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
26 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
27 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
28 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
29 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
30 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
31 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
32 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
33 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
34 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
35 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
36 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
37 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
38 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
39 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
40 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
41 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
42 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
43 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
44 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
45 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
46 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
47 4 mm26.6.8.8.8(2).8(2)4 8 18 29 52 61 106 120 170 187
48 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
49 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
50 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
51 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
52 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
53 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
54 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
55 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
56 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
57 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
58 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
59 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
60 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
61 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
62 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
63 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
64 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
65 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
66 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
67 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
68 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
69 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
70 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
71 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
72 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
73 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
74 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
75 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
76 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
77 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
78 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
79 3 3m8(3).8(3).8(3)3 6 18 24 42 63 84 93 183 175
80 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
81 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
82 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
83 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
84 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
85 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
86 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
87 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
88 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
89 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
90 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
91 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
92 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
93 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
94 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
95 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
96 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
97 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
98 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
99 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
100 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
101 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
102 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
103 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
104 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
105 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
106 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
107 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
108 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
109 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
110 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
111 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
112 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
113 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
114 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
115 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
116 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
117 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
118 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
119 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
120 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
121 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
122 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
123 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
124 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
125 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
126 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
127 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
128 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
129 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
130 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
131 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
132 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
133 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
134 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
135 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
136 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
137 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
138 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
139 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
140 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
141 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
142 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
143 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
144 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
145 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
146 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
147 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
148 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
149 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
150 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
151 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
152 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
153 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
154 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
155 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
156 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
157 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
158 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
159 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
160 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
161 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
162 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
163 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
164 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
165 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
166 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
167 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
168 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
169 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
170 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
171 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
172 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
173 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
174 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206
175 3 m6.8(3).8(3)3 8 15 29 40 69 81 131 146 206

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)
Fm-3m (No. 225)
Transitivity p, q (mofplus-deposit)
3, 2 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)
4
RCSR identification (mofplus-deposit)
ntt
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 6 0 0 0 2 7 0 0 0 3 8 0 0 0 3 9 0 0 0 4 10 0 0 0 4 11 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 17 0 0 0 7 18 0 0 0 8 16 0 0 0 8 19 0 0 0 8 20 0 0 0 9 21 0 0 0 9 22 0 0 0 10 21 1 0 0 10 23 0 0 0 10 24 0 0 0 11 19 0 1 0 11 25 0 0 0 12 17 0 0 1 12 24 0 0 0 12 26 0 0 0 13 14 -1 1 1 13 27 0 0 0 14 28 0 0 0 15 29 0 0 0 15 30 0 0 0 16 31 0 0 0 17 32 0 0 0 18 28 -1 1 0 18 33 0 0 0 19 34 0 0 0 20 29 -1 0 1 20 35 0 0 0 21 36 0 0 0 22 33 0 0 0 22 34 -1 1 0 23 30 0 0 0 23 37 0 0 0 24 38 0 0 0 25 33 0 0 0 25 36 0 1 0 26 35 0 0 0 26 37 -1 0 1 27 32 -1 1 1 27 33 0 0 0 28 39 0 0 0 28 40 0 0 0 29 41 0 0 0 30 39 0 0 0 30 42 0 0 0 31 42 -1 0 0 31 43 0 0 0 32 41 0 0 0 32 43 0 0 0 34 40 0 0 0 34 44 0 0 0 35 43 0 0 1 35 44 0 0 0 36 41 -1 0 1 36 42 -1 0 0 37 40 0 1 0 38 39 -1 1 1 38 44 0 1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
730
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)
729.6363636363636
Genus (mofplus-deposit)
29
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)
729.6363636363636
Genus (rcsr-archive-key)
29
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)
(6.8^2)6(8^3)2(6^2.8^4)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, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 476.6.8.8.8(2).8(2) 6.6.8.8.8(2).8(2) 6^2.8^4 4 8 18 29 52 61 106 120 170 187
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, 798(3).8(3).8(3) 8(3).8(3).8(3) 8^3 3 6 18 24 42 63 84 93 183 175
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, 167, 168, 169, 170, 171, 172, 173, 174, 1756.8(3).8(3) 6.8(3).8(3) 6.8^2 3 8 15 29 40 69 81 131 146 206

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

Net point symbol (rcsr-archive-key)
(6.8^2)6(8^3)2(6^2.8^4)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, 5, 7, 9, 11, 27, 29, 31, 32, 33, 34, 356.6.8.8.8(2).8(2) 6.6.8.8.8(2).8(2) 6^2.8^4 4 8 18 29 52 61 106 120 170 187
1, 2, 3, 4, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 38, 39, 40, 41, 42, 436.8(3).8(3) 6.8(3).8(3) 6.8^2 3 8 15 29 40 69 81 131 146 206
6, 8, 10, 12, 28, 30, 36, 378(3).8(3).8(3) 8(3).8(3).8(3) 8^3 3 6 18 24 42 63 84 93 183 175

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 176 of 176 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 176 of 176 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
ntt
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
1465 (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
2299 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.