MOF++

Data › Nets › dny-a

Net topology

dny-a

Ingested production record from rcsr. Per-field provenance in field_sources. No geometry: the RCSR archive carries none.

JSON · mfpx

576 vertices and 1056 edges in the unit cell. 150 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.
Computed drawing, not a deposit. This geometry is computed, not deposited. No contributor has uploaded a structure for this net: it came from the RCSR Systre archive, which carries a canonical key and no coordinates at all. What is drawn here is the net's maximum-symmetry embedding, computed from that key by Systre 19.6.0 and read into a cell, coordinates and edges by mofpp.embedding v1. Every edge is the same length and the cell is the ideal cell of the net's own symmetry group, scaled so that the mean edge is 1: it is a drawing of the net, an abstract periodic graph, and not a measurement of any material. The lengths in angstrom of a real framework built on this topology are not stated here and are not implied by it.

Crystallographic description

Spacegroup
Fd-3m (No. 227)
Cell lengths
a = 11.2812, b = 11.2812, c = 11.2812
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
This geometry is computed, not deposited. No contributor has uploaded a structure for this net: it came from the RCSR Systre archive, which carries a canonical key and no coordinates at all. What is drawn here is the net's maximum-symmetry embedding, computed from that key by Systre 19.6.0 and read into a cell, coordinates and edges by mofpp.embedding v1. Every edge is the same length and the cell is the ideal cell of the net's own symmetry group, scaled so that the mean edge is 1: it is a drawing of the net, an abstract periodic graph, and not a measurement of any material. The lengths in angstrom of a real framework built on this topology are not stated here and are not implied by it.
Vertices in cell
576
Transitivity pqrs
4, 9, *, *
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 RCSR archive key, the canonical key the archive states. 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 8 0 0 0 4 13 0 0 0 4 14 0 0 0 5 11 0 0 0 5 15 0 0 0 5 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 8 0 0 0 7 10 0 0 0 7 19 0 0 0 7 20 0 0 0 8 13 0 0 0 8 21 0 0 0 9 22 0 0 0 9 23 0 0 0 10 11 0 0 0 10 20 0 0 0 10 24 0 0 0 11 15 0 0 0 11 25 0 0 0 12 26 0 0 0 12 27 0 0 0 13 15 0 0 0 13 20 0 0 0 13 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 20 0 0 0 15 31 0 0 0 16 32 0 0 0 16 33 0 0 0 17 18 0 0 0 17 34 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 20 38 0 0 0 21 39 0 0 0 21 40 0 0 0 22 23 0 0 0 22 41 0 0 0 23 42 0 0 0 24 43 0 0 0 24 44 0 0 0 25 45 0 0 0 25 46 0 0 0 26 27 0 0 0 26 47 0 0 0 27 48 0 0 0 28 49 0 0 0 28 50 0 0 0 29 30 0 0 0 29 51 0 0 0 30 52 0 0 0 31 53 0 0 0 31 54 0 0 0 32 33 0 0 0 32 55 0 0 0 33 56 0 0 0 34 42 0 0 0 34 57 0 0 0 34 58 0 0 0 35 48 0 0 0 35 59 0 0 0 35 60 0 0 0 36 37 0 0 0 36 61 0 0 0 37 62 0 0 0 38 63 0 0 0 38 64 0 0 0 39 40 0 0 0 39 65 0 0 0 40 66 0 0 0 41 47 0 0 0 41 67 0 0 0 41 68 0 0 0 42 69 0 0 0 42 70 0 0 0 43 44 0 0 0 43 71 0 0 0 44 72 0 0 0 45 46 0 0 0 45 73 0 0 0 46 74 0 0 0 47 75 0 0 0 47 76 0 0 0 48 77 0 0 0 48 78 0 0 0 49 50 0 0 0 49 76 1 0 0 50 77 1 0 0 51 66 0 0 0 51 71 0 1 0 51 79 0 0 0 52 72 0 1 0 52 77 1 0 0 52 80 0 0 0 53 54 0 0 0 53 68 0 0 1 54 69 0 0 1 55 61 -1 1 1 55 74 0 0 0 55 81 0 0 0 56 62 -1 1 1 56 69 0 0 1 56 82 0 0 0 57 70 0 0 0 57 83 0 0 0 57 84 0 0 0 58 62 -1 1 0 58 63 -1 1 0 58 84 0 0 0 59 78 0 0 0 59 85 0 0 0 59 86 0 0 0 60 64 -1 1 0 60 72 -1 1 0 60 86 0 0 0 61 71 0 0 0 61 87 0 0 0 62 88 0 0 0 63 64 0 0 0 65 73 1 0 -1 65 76 1 0 0 65 89 0 0 0 66 74 1 0 -1 66 90 0 0 0 67 75 0 0 0 67 91 0 0 0 67 92 0 0 0 68 73 0 0 -1 68 92 0 0 0 69 93 0 0 0 70 93 0 0 0 70 94 0 0 0 71 95 0 0 0 72 96 0 0 0 73 97 0 0 0 74 98 0 0 0 75 99 0 0 0 75 100 0 0 0 76 100 0 0 0 77 101 0 0 0 78 101 0 0 0 78 102 0 0 0 79 90 0 0 0 79 95 0 1 0 79 103 0 0 0 80 96 0 1 0 80 101 1 0 0 80 104 0 0 0 81 87 -1 1 1 81 98 0 0 0 81 105 0 0 0 82 88 -1 1 1 82 93 0 0 1 82 106 0 0 0 83 103 0 0 0 83 107 0 0 0 84 88 -1 1 0 84 108 0 0 0 85 105 0 0 0 85 109 0 0 0 86 96 -1 1 0 86 110 0 0 0 87 95 0 0 0 87 111 0 0 0 88 112 0 0 0 89 97 1 0 -1 89 100 1 0 0 89 113 0 0 0 90 98 1 0 -1 90 114 0 0 0 91 111 0 0 0 91 115 0 0 0 92 97 0 0 -1 92 116 0 0 0 93 117 0 0 0 94 114 0 0 0 94 118 0 0 0 95 119 0 0 0 96 120 0 0 0 97 121 0 0 0 98 122 0 0 0 99 119 0 0 0 99 123 0 0 0 100 124 0 0 0 101 125 0 0 0 102 122 0 0 0 102 126 0 0 0 103 107 0 0 0 104 106 0 0 0 104 127 0 0 0 105 109 0 0 0 106 127 0 0 0 107 128 0 0 0 108 124 0 1 0 108 129 0 0 0 109 130 0 0 0 110 116 -1 1 1 110 131 0 0 0 111 115 0 0 0 112 113 0 0 0 112 132 0 0 0 113 132 0 0 0 114 118 0 0 0 115 133 0 0 0 116 131 1 -1 -1 117 125 1 0 -1 117 134 0 0 0 118 135 0 0 0 119 123 0 0 0 120 121 0 0 0 120 136 0 0 0 121 136 0 0 0 122 126 0 0 0 123 137 0 0 0 124 129 0 -1 0 125 134 -1 0 1 126 138 0 0 0 127 139 0 0 0 128 130 0 0 0 128 137 0 1 0 128 139 0 0 0 128 140 0 0 0 129 140 0 0 0 130 133 -1 1 1 130 139 0 0 0 130 141 0 0 0 131 141 0 0 0 132 142 0 0 0 133 135 0 0 0 133 141 1 -1 -1 133 142 0 0 0 134 143 0 0 0 135 138 1 0 -1 135 142 0 0 0 135 143 0 0 0 136 144 0 0 0 137 138 0 0 0 137 140 0 -1 0 137 144 0 0 0 138 143 -1 0 1 138 144 0 0 0 139 142 -1 1 1 139 144 0 1 0 140 141 0 0 0 140 143 -1 1 1 141 143 -1 1 1 142 144 1 0 -1
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01, and re-canonicalised here. Systre 19.6.0 was run on the RCSR archive key, the canonical key the archive states — on this very text, which is the only graph this record carries — and returned the same key, character for character. That is a check on the copy and not a second source: the input was the archive key itself, so the two statements are not independent, and what the run establishes is that the text is a well-formed canonical key which Systre reproduces unchanged. A deposited graph of this net would be the independent statement; this record holds none. 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
a1178fd2fe6449f945ae5836bda9a276 (rcsr)

Vertices

No coordination sequence is recorded for this net: the source stores none. Every sequence below is absent — which is a different fact from a sequence of length zero, and is why the field is null rather than an empty list.

Site symmetry. 576 of 576 vertex rows carry one, attributed to computed:mofpp.site_symmetry-v1 (spglib-2.7.0, rcsr-archive-key). 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 Fd-3m, setting 2, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the rcsr-archive-key. 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 m——
1 5 m——
2 5 m——
3 5 m——
4 5 m——
5 5 m——
6 5 m——
7 5 m——
8 5 m——
9 5 m——
10 5 m——
11 5 m——
12 5 m——
13 5 m——
14 5 m——
15 5 m——
16 5 m——
17 5 m——
18 5 m——
19 5 m——
20 5 m——
21 5 m——
22 5 m——
23 5 m——
24 5 m——
25 5 m——
26 5 m——
27 5 m——
28 5 m——
29 5 m——
30 5 m——
31 5 m——
32 5 m——
33 5 m——
34 5 m——
35 5 m——
36 5 m——
37 5 m——
38 5 m——
39 5 m——
40 5 m——
41 5 m——
42 5 m——
43 5 m——
44 5 m——
45 5 m——
46 5 m——
47 5 m——
48 5 m——
49 5 m——
50 5 m——
51 5 m——
52 5 m——
53 5 m——
54 5 m——
55 5 m——
56 5 m——
57 5 m——
58 5 m——
59 5 m——
60 5 m——
61 5 m——
62 5 m——
63 5 m——
64 5 m——
65 5 m——
66 5 m——
67 5 m——
68 5 m——
69 5 m——
70 5 m——
71 5 m——
72 5 m——
73 5 m——
74 5 m——
75 5 m——
76 5 m——
77 5 m——
78 5 m——
79 5 m——
80 5 m——
81 5 m——
82 5 m——
83 5 m——
84 5 m——
85 5 m——
86 5 m——
87 5 m——
88 5 m——
89 5 m——
90 5 m——
91 5 m——
92 5 m——
93 5 m——
94 5 m——
95 5 m——
96 3 m——
97 3 m——
98 3 m——
99 3 m——
100 3 m——
101 3 m——
102 3 m——
103 3 m——
104 3 m——
105 3 m——
106 3 m——
107 3 m——
108 3 m——
109 3 m——
110 3 m——
111 3 m——
112 3 m——
113 3 m——
114 3 m——
115 3 m——
116 3 m——
117 3 m——
118 3 m——
119 3 m——
120 3 m——
121 3 m——
122 3 m——
123 3 m——
124 3 m——
125 3 m——
126 3 m——
127 3 m——
128 3 m——
129 3 m——
130 3 m——
131 3 m——
132 3 m——
133 3 m——
134 3 m——
135 3 m——
136 3 m——
137 3 m——
138 3 m——
139 3 m——
140 3 m——
141 3 m——
142 3 m——
143 3 m——
144 3 m——
145 3 m——
146 3 m——
147 3 m——
148 3 m——
149 3 m——
150 3 m——
151 3 m——
152 3 m——
153 3 m——
154 3 m——
155 3 m——
156 3 m——
157 3 m——
158 3 m——
159 3 m——
160 3 m——
161 3 m——
162 3 m——
163 3 m——
164 3 m——
165 3 m——
166 3 m——
167 3 m——
168 3 m——
169 3 m——
170 3 m——
171 3 m——
172 3 m——
173 3 m——
174 3 m——
175 3 m——
176 3 m——
177 3 m——
178 3 m——
179 3 m——
180 3 m——
181 3 m——
182 3 m——
183 3 m——
184 3 m——
185 3 m——
186 3 m——
187 3 m——
188 3 m——
189 3 m——
190 3 m——
191 3 m——
192 4 1——
193 4 1——
194 4 1——
195 4 1——
196 4 1——
197 4 1——
198 4 1——
199 4 1——
200 4 1——
201 4 1——
202 4 1——
203 4 1——
204 4 1——
205 4 1——
206 4 1——
207 4 1——
208 4 1——
209 4 1——
210 4 1——
211 4 1——
212 4 1——
213 4 1——
214 4 1——
215 4 1——
216 4 1——
217 4 1——
218 4 1——
219 4 1——
220 4 1——
221 4 1——
222 4 1——
223 4 1——
224 4 1——
225 4 1——
226 4 1——
227 4 1——
228 4 1——
229 4 1——
230 4 1——
231 4 1——
232 4 1——
233 4 1——
234 4 1——
235 4 1——
236 4 1——
237 4 1——
238 4 1——
239 4 1——
240 4 1——
241 4 1——
242 4 1——
243 4 1——
244 4 1——
245 4 1——
246 4 1——
247 4 1——
248 4 1——
249 4 1——
250 4 1——
251 4 1——
252 4 1——
253 4 1——
254 4 1——
255 4 1——
256 4 1——
257 4 1——
258 4 1——
259 4 1——
260 4 1——
261 4 1——
262 4 1——
263 4 1——
264 4 1——
265 4 1——
266 4 1——
267 4 1——
268 4 1——
269 4 1——
270 4 1——
271 4 1——
272 4 1——
273 4 1——
274 4 1——
275 4 1——
276 4 1——
277 4 1——
278 4 1——
279 4 1——
280 4 1——
281 4 1——
282 4 1——
283 4 1——
284 4 1——
285 4 1——
286 4 1——
287 4 1——
288 4 1——
289 4 1——
290 4 1——
291 4 1——
292 4 1——
293 4 1——
294 4 1——
295 4 1——
296 4 1——
297 4 1——
298 4 1——
299 4 1——
300 4 1——
301 4 1——
302 4 1——
303 4 1——
304 4 1——
305 4 1——
306 4 1——
307 4 1——
308 4 1——
309 4 1——
310 4 1——
311 4 1——
312 4 1——
313 4 1——
314 4 1——
315 4 1——
316 4 1——
317 4 1——
318 4 1——
319 4 1——
320 4 1——
321 4 1——
322 4 1——
323 4 1——
324 4 1——
325 4 1——
326 4 1——
327 4 1——
328 4 1——
329 4 1——
330 4 1——
331 4 1——
332 4 1——
333 4 1——
334 4 1——
335 4 1——
336 4 1——
337 4 1——
338 4 1——
339 4 1——
340 4 1——
341 4 1——
342 4 1——
343 4 1——
344 4 1——
345 4 1——
346 4 1——
347 4 1——
348 4 1——
349 4 1——
350 4 1——
351 4 1——
352 4 1——
353 4 1——
354 4 1——
355 4 1——
356 4 1——
357 4 1——
358 4 1——
359 4 1——
360 4 1——
361 4 1——
362 4 1——
363 4 1——
364 4 1——
365 4 1——
366 4 1——
367 4 1——
368 4 1——
369 4 1——
370 4 1——
371 4 1——
372 4 1——
373 4 1——
374 4 1——
375 4 1——
376 4 1——
377 4 1——
378 4 1——
379 4 1——
380 4 1——
381 4 1——
382 4 1——
383 4 1——
384 3 1——
385 3 1——
386 3 1——
387 3 1——
388 3 1——
389 3 1——
390 3 1——
391 3 1——
392 3 1——
393 3 1——
394 3 1——
395 3 1——
396 3 1——
397 3 1——
398 3 1——
399 3 1——
400 3 1——
401 3 1——
402 3 1——
403 3 1——
404 3 1——
405 3 1——
406 3 1——
407 3 1——
408 3 1——
409 3 1——
410 3 1——
411 3 1——
412 3 1——
413 3 1——
414 3 1——
415 3 1——
416 3 1——
417 3 1——
418 3 1——
419 3 1——
420 3 1——
421 3 1——
422 3 1——
423 3 1——
424 3 1——
425 3 1——
426 3 1——
427 3 1——
428 3 1——
429 3 1——
430 3 1——
431 3 1——
432 3 1——
433 3 1——
434 3 1——
435 3 1——
436 3 1——
437 3 1——
438 3 1——
439 3 1——
440 3 1——
441 3 1——
442 3 1——
443 3 1——
444 3 1——
445 3 1——
446 3 1——
447 3 1——
448 3 1——
449 3 1——
450 3 1——
451 3 1——
452 3 1——
453 3 1——
454 3 1——
455 3 1——
456 3 1——
457 3 1——
458 3 1——
459 3 1——
460 3 1——
461 3 1——
462 3 1——
463 3 1——
464 3 1——
465 3 1——
466 3 1——
467 3 1——
468 3 1——
469 3 1——
470 3 1——
471 3 1——
472 3 1——
473 3 1——
474 3 1——
475 3 1——
476 3 1——
477 3 1——
478 3 1——
479 3 1——
480 3 1——
481 3 1——
482 3 1——
483 3 1——
484 3 1——
485 3 1——
486 3 1——
487 3 1——
488 3 1——
489 3 1——
490 3 1——
491 3 1——
492 3 1——
493 3 1——
494 3 1——
495 3 1——
496 3 1——
497 3 1——
498 3 1——
499 3 1——
500 3 1——
501 3 1——
502 3 1——
503 3 1——
504 3 1——
505 3 1——
506 3 1——
507 3 1——
508 3 1——
509 3 1——
510 3 1——
511 3 1——
512 3 1——
513 3 1——
514 3 1——
515 3 1——
516 3 1——
517 3 1——
518 3 1——
519 3 1——
520 3 1——
521 3 1——
522 3 1——
523 3 1——
524 3 1——
525 3 1——
526 3 1——
527 3 1——
528 3 1——
529 3 1——
530 3 1——
531 3 1——
532 3 1——
533 3 1——
534 3 1——
535 3 1——
536 3 1——
537 3 1——
538 3 1——
539 3 1——
540 3 1——
541 3 1——
542 3 1——
543 3 1——
544 3 1——
545 3 1——
546 3 1——
547 3 1——
548 3 1——
549 3 1——
550 3 1——
551 3 1——
552 3 1——
553 3 1——
554 3 1——
555 3 1——
556 3 1——
557 3 1——
558 3 1——
559 3 1——
560 3 1——
561 3 1——
562 3 1——
563 3 1——
564 3 1——
565 3 1——
566 3 1——
567 3 1——
568 3 1——
569 3 1——
570 3 1——
571 3 1——
572 3 1——
573 3 1——
574 3 1——
575 3 1——

Computed topology

Computed here from the quotient graph of the net itself, not transcribed from either source: periodicity, symmetry, invariants and rings, on the RCSR archive key, the canonical key the archive states, by mofpp.embedding 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--fullUnitCell wrapper:2 embedding:1, 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 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 RCSR archive key, the canonical key the archive states

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 (rcsr-archive-key)
Fd-3m (No. 227) (second origin choice)
Transitivity p, q (rcsr-archive-key)
4, 9 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 (rcsr-archive-key)
48
Repeat-unit factor (rcsr-archive-key)
1
RCSR identification (rcsr-archive-key)
dny-a
Computed Systre key (rcsr-archive-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 8 0 0 0 4 13 0 0 0 4 14 0 0 0 5 11 0 0 0 5 15 0 0 0 5 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 8 0 0 0 7 10 0 0 0 7 19 0 0 0 7 20 0 0 0 8 13 0 0 0 8 21 0 0 0 9 22 0 0 0 9 23 0 0 0 10 11 0 0 0 10 20 0 0 0 10 24 0 0 0 11 15 0 0 0 11 25 0 0 0 12 26 0 0 0 12 27 0 0 0 13 15 0 0 0 13 20 0 0 0 13 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 20 0 0 0 15 31 0 0 0 16 32 0 0 0 16 33 0 0 0 17 18 0 0 0 17 34 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 20 38 0 0 0 21 39 0 0 0 21 40 0 0 0 22 23 0 0 0 22 41 0 0 0 23 42 0 0 0 24 43 0 0 0 24 44 0 0 0 25 45 0 0 0 25 46 0 0 0 26 27 0 0 0 26 47 0 0 0 27 48 0 0 0 28 49 0 0 0 28 50 0 0 0 29 30 0 0 0 29 51 0 0 0 30 52 0 0 0 31 53 0 0 0 31 54 0 0 0 32 33 0 0 0 32 55 0 0 0 33 56 0 0 0 34 42 0 0 0 34 57 0 0 0 34 58 0 0 0 35 48 0 0 0 35 59 0 0 0 35 60 0 0 0 36 37 0 0 0 36 61 0 0 0 37 62 0 0 0 38 63 0 0 0 38 64 0 0 0 39 40 0 0 0 39 65 0 0 0 40 66 0 0 0 41 47 0 0 0 41 67 0 0 0 41 68 0 0 0 42 69 0 0 0 42 70 0 0 0 43 44 0 0 0 43 71 0 0 0 44 72 0 0 0 45 46 0 0 0 45 73 0 0 0 46 74 0 0 0 47 75 0 0 0 47 76 0 0 0 48 77 0 0 0 48 78 0 0 0 49 50 0 0 0 49 76 1 0 0 50 77 1 0 0 51 66 0 0 0 51 71 0 1 0 51 79 0 0 0 52 72 0 1 0 52 77 1 0 0 52 80 0 0 0 53 54 0 0 0 53 68 0 0 1 54 69 0 0 1 55 61 -1 1 1 55 74 0 0 0 55 81 0 0 0 56 62 -1 1 1 56 69 0 0 1 56 82 0 0 0 57 70 0 0 0 57 83 0 0 0 57 84 0 0 0 58 62 -1 1 0 58 63 -1 1 0 58 84 0 0 0 59 78 0 0 0 59 85 0 0 0 59 86 0 0 0 60 64 -1 1 0 60 72 -1 1 0 60 86 0 0 0 61 71 0 0 0 61 87 0 0 0 62 88 0 0 0 63 64 0 0 0 65 73 1 0 -1 65 76 1 0 0 65 89 0 0 0 66 74 1 0 -1 66 90 0 0 0 67 75 0 0 0 67 91 0 0 0 67 92 0 0 0 68 73 0 0 -1 68 92 0 0 0 69 93 0 0 0 70 93 0 0 0 70 94 0 0 0 71 95 0 0 0 72 96 0 0 0 73 97 0 0 0 74 98 0 0 0 75 99 0 0 0 75 100 0 0 0 76 100 0 0 0 77 101 0 0 0 78 101 0 0 0 78 102 0 0 0 79 90 0 0 0 79 95 0 1 0 79 103 0 0 0 80 96 0 1 0 80 101 1 0 0 80 104 0 0 0 81 87 -1 1 1 81 98 0 0 0 81 105 0 0 0 82 88 -1 1 1 82 93 0 0 1 82 106 0 0 0 83 103 0 0 0 83 107 0 0 0 84 88 -1 1 0 84 108 0 0 0 85 105 0 0 0 85 109 0 0 0 86 96 -1 1 0 86 110 0 0 0 87 95 0 0 0 87 111 0 0 0 88 112 0 0 0 89 97 1 0 -1 89 100 1 0 0 89 113 0 0 0 90 98 1 0 -1 90 114 0 0 0 91 111 0 0 0 91 115 0 0 0 92 97 0 0 -1 92 116 0 0 0 93 117 0 0 0 94 114 0 0 0 94 118 0 0 0 95 119 0 0 0 96 120 0 0 0 97 121 0 0 0 98 122 0 0 0 99 119 0 0 0 99 123 0 0 0 100 124 0 0 0 101 125 0 0 0 102 122 0 0 0 102 126 0 0 0 103 107 0 0 0 104 106 0 0 0 104 127 0 0 0 105 109 0 0 0 106 127 0 0 0 107 128 0 0 0 108 124 0 1 0 108 129 0 0 0 109 130 0 0 0 110 116 -1 1 1 110 131 0 0 0 111 115 0 0 0 112 113 0 0 0 112 132 0 0 0 113 132 0 0 0 114 118 0 0 0 115 133 0 0 0 116 131 1 -1 -1 117 125 1 0 -1 117 134 0 0 0 118 135 0 0 0 119 123 0 0 0 120 121 0 0 0 120 136 0 0 0 121 136 0 0 0 122 126 0 0 0 123 137 0 0 0 124 129 0 -1 0 125 134 -1 0 1 126 138 0 0 0 127 139 0 0 0 128 130 0 0 0 128 137 0 1 0 128 139 0 0 0 128 140 0 0 0 129 140 0 0 0 130 133 -1 1 1 130 139 0 0 0 130 141 0 0 0 131 141 0 0 0 132 142 0 0 0 133 135 0 0 0 133 141 1 -1 -1 133 142 0 0 0 134 143 0 0 0 135 138 1 0 -1 135 142 0 0 0 135 143 0 0 0 136 144 0 0 0 137 138 0 0 0 137 140 0 -1 0 137 144 0 0 0 138 143 -1 0 1 138 144 0 0 0 139 142 -1 1 1 139 144 0 1 0 140 141 0 0 0 140 143 -1 1 1 141 143 -1 1 1 142 144 1 0 -1
Key against the archive (rcsr-archive-key)
the same key, character for character
TD10 as Systre prints it (rcsr-archive-key)
695
Computed by (symmetry, rcsr-archive-key)
systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2 — ok

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

TD10, exact (rcsr-archive-key)
694.6666666666666
Genus (rcsr-archive-key)
121
Shells walked (rcsr-archive-key)
10
Computed by (invariants, rcsr-archive-key)
mofpp.invariants 2 — ok

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

Net point symbol (rcsr-archive-key)
(3.8^2)3(4^2.6.8^2.10)2(3^2.4^2.5^2.8^2.10^2)
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, 6, 7, 9, 10, 12, 14, 19, 127, 129, 132, 134, 136, 137, 138, 139, 140, 141, 142, 1433.3.4.4.5(2).5(2).8.8.10.10 3.3.4.4.6.6.8.8.12.12 3^2.4^2.5^2.8^2.10^2 5 12 17 25 38 67 98 120 155 189
5, 8, 11, 13, 15, 18, 20, 23, 24, 27, 30, 37, 106, 108, 114, 117, 122, 125, 126, 128, 130, 131, 133, 1353.8.8 3.8.8 3.8^2 3 6 16 27 38 53 77 122 157 193
16, 17, 21, 22, 25, 26, 28, 29, 31, 32, 35, 36, 38, 39, 42, 43, 44, 45, 48, 49, 52, 53, 62, 63, 82, 84, 90, 93, 98, 101, 102, 103, 104, 105, 107, 109, 110, 111, 112, 113, 115, 116, 118, 119, 120, 121, 123, 1243.8.8 3.8.8 3.8^2 3 5 14 28 37 54 74 116 164 182
33, 34, 40, 41, 46, 47, 50, 51, 54, 55, 56, 57, 58, 59, 60, 61, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 85, 86, 87, 88, 89, 91, 92, 94, 95, 96, 97, 99, 1004.4.6(2).8.8.10(2) 4.4.6.8.8.12(2) 4^2.6.8^2.10 4 9 15 23 40 66 95 119 141 183

Cross-checks

Name against the computed key
single-source

Provenance

Source
rcsr
Identifier at the source
dny-a
Retrieved
not recorded
Licence
© 2019 RCSR.net — verified from © 2019 RCSR.net. Redistributed by MOF++ under a private agreement with the rights holder. This permits redistribution by MOF++; it grants the reader no onward licence. Confirmed by the repository owner, 2026-09-09..
Published
yes

Position in the collection

RCSR index
529 (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
2626 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.