Net topology

soa

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

JSON

Crystallographic description

Spacegroup
Fd-3m (No. 227)
Cell lengths
not recorded
Cell angles
not recorded
Atoms in cell
not recorded
Transitivity pqrs
10, 25, *, *
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
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402 0 0 0 401 403 -1 0 0 405 408 1 0 0 406 407 0 1 0 407 408 1 -1 0
(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
18fa3e9d1a20903e7423600702a0f8fb (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.

No vertex data recorded for this net.

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)
10, 25 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)
soa
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 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 13 0 0 0 5 14 0 0 0 5 15 0 0 0 6 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 19 0 0 0 7 20 0 0 0 8 21 0 0 0 8 22 0 0 0 9 11 0 0 0 9 20 0 0 0 9 23 0 0 0 10 24 0 0 0 10 25 0 0 0 10 26 0 0 0 11 22 0 0 0 11 27 0 0 0 12 28 0 0 0 12 29 0 0 0 12 30 0 0 0 13 18 0 0 0 13 31 0 0 0 13 32 0 0 0 14 25 0 0 0 14 31 0 0 0 14 33 0 0 0 15 29 0 0 0 15 32 0 0 0 15 34 0 0 0 16 35 0 0 0 16 36 0 0 0 16 37 0 0 0 17 38 0 0 0 17 39 0 0 0 17 40 0 0 0 18 37 0 0 0 18 40 0 0 0 19 36 0 0 0 19 41 0 0 0 19 42 0 0 0 20 22 0 0 0 20 43 0 0 0 21 39 0 0 0 21 44 0 0 0 21 45 0 0 0 22 46 0 0 0 23 47 0 0 0 23 48 0 0 0 23 49 0 0 0 24 42 0 0 0 24 50 0 0 0 24 51 0 0 0 25 51 0 0 0 25 52 0 0 0 26 48 0 0 0 26 50 0 0 0 26 53 0 0 0 27 54 0 0 0 27 55 0 0 0 27 56 0 0 0 28 45 0 0 0 28 57 0 0 0 28 58 0 0 0 29 58 0 0 0 29 59 0 0 0 30 55 0 0 0 30 57 0 0 0 30 60 0 0 0 31 61 0 0 0 31 62 0 0 0 32 63 0 0 0 32 64 0 0 0 33 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0 0 161 226 0 0 0 161 248 0 0 0 162 249 0 0 0 163 250 0 0 0 163 251 0 0 0 164 252 0 0 0 164 253 0 0 0 165 246 0 0 0 165 254 0 0 0 165 255 0 0 0 166 255 0 0 0 166 256 0 0 0 166 257 0 0 0 167 258 0 0 0 167 259 0 0 0 168 259 0 0 0 168 260 0 0 0 168 261 0 0 0 169 261 0 0 0 169 262 0 0 0 170 172 0 0 0 170 184 0 0 0 170 262 0 0 0 171 250 0 0 0 171 257 0 0 0 171 263 0 0 0 172 263 0 0 0 172 264 0 0 0 173 239 0 0 0 173 265 0 0 0 174 266 0 0 0 174 267 0 0 0 175 179 0 0 0 175 268 0 0 0 175 269 0 0 0 176 267 0 0 0 176 269 0 0 0 177 258 0 0 0 177 270 0 0 0 178 271 0 0 0 178 272 0 0 0 179 273 0 0 0 179 274 0 0 0 180 272 0 0 0 180 274 0 0 0 181 275 0 0 0 181 276 0 0 0 182 275 0 0 0 182 277 0 0 0 183 278 0 0 0 183 279 0 0 0 184 278 0 0 0 184 280 0 0 0 185 187 0 0 0 185 281 0 0 0 185 282 0 0 0 186 282 0 0 0 186 283 0 0 0 187 263 1 0 0 187 284 0 0 0 188 284 0 0 0 188 285 0 0 0 189 286 0 0 0 189 287 0 0 0 190 201 0 0 0 190 286 0 0 0 190 288 0 0 0 191 287 0 0 0 191 289 0 0 0 192 263 1 0 0 192 264 1 0 0 192 290 0 0 0 193 291 0 0 0 194 285 0 0 0 194 292 0 0 0 194 293 0 0 0 195 239 0 0 0 195 293 0 0 0 196 198 0 0 0 196 294 0 0 0 196 295 0 0 0 197 295 0 0 0 197 296 0 0 0 198 244 0 1 0 198 297 0 0 0 199 297 0 0 0 199 298 0 0 0 200 299 0 0 0 200 300 0 0 0 201 299 0 0 0 201 301 0 0 0 202 300 0 0 0 202 302 0 0 0 203 244 0 1 0 203 245 0 1 0 203 303 0 0 0 204 304 0 0 0 205 298 0 0 0 205 305 0 0 0 205 306 0 0 0 206 258 0 0 0 206 306 0 0 0 207 290 0 0 0 207 307 0 0 0 207 308 0 0 0 208 308 0 0 0 208 309 0 0 0 208 310 0 0 0 209 309 0 0 0 209 311 0 0 0 210 310 0 0 0 210 312 0 0 0 210 313 0 0 0 211 215 0 0 0 211 314 0 0 0 212 315 0 0 0 213 235 0 0 0 213 313 0 0 0 213 315 0 0 0 214 224 0 0 0 214 316 0 0 0 214 317 0 0 0 215 318 0 0 0 216 226 0 0 0 216 319 0 0 0 217 303 0 0 0 217 320 0 0 0 217 321 0 0 0 218 321 0 0 0 218 322 0 0 0 218 323 0 0 0 219 322 0 0 0 219 324 0 0 0 220 312 -1 1 0 220 323 0 0 0 220 325 0 0 0 221 225 0 0 0 221 326 0 0 0 222 327 0 0 0 223 254 0 0 0 223 325 0 0 0 223 327 0 0 0 224 328 0 0 0 224 329 0 0 0 225 330 0 0 0 226 331 0 0 0 227 332 0 0 0 227 333 0 0 0 228 333 0 0 0 228 334 0 0 0 228 335 0 0 0 229 248 0 0 0 229 283 0 0 1 229 286 0 0 1 230 286 0 0 1 230 288 0 0 1 230 336 0 0 0 231 303 0 -1 0 231 335 0 0 0 232 234 0 0 0 232 245 0 0 0 232 303 0 -1 0 233 252 0 0 0 233 288 0 0 1 233 337 0 0 0 234 337 0 0 0 234 338 0 0 0 235 254 1 -1 0 235 332 0 0 0 236 255 1 -1 0 236 339 0 0 0 237 241 0 0 0 237 256 1 -1 0 237 294 0 -1 0 238 294 0 -1 0 238 339 0 0 0 239 340 0 0 0 240 341 0 0 0 240 342 0 0 0 241 343 0 0 0 241 344 0 0 0 242 342 0 0 0 242 344 0 0 0 243 275 0 0 0 243 297 0 -1 0 245 345 0 0 0 246 346 0 0 0 246 347 0 0 0 247 347 0 0 0 247 348 0 0 0 247 349 0 0 0 248 296 0 0 1 248 299 0 0 1 249 299 0 0 1 249 301 0 0 1 249 350 0 0 0 250 290 -1 0 0 250 349 0 0 0 251 253 0 0 0 251 264 0 0 0 251 290 -1 0 0 252 301 0 0 1 252 351 0 0 0 253 338 0 0 0 253 351 0 0 0 254 346 0 0 0 255 352 0 0 0 256 260 0 0 0 256 281 -1 0 0 257 281 -1 0 0 257 352 0 0 0 258 353 0 0 0 259 354 0 0 0 259 355 0 0 0 260 356 0 0 0 260 357 0 0 0 261 355 0 0 0 261 357 0 0 0 262 278 0 0 0 262 284 -1 0 0 264 358 0 0 0 265 322 0 -1 -1 265 324 0 -1 -1 265 359 0 0 0 266 268 0 0 0 266 322 0 -1 -1 266 326 0 -1 -1 267 326 0 -1 -1 267 342 0 0 0 268 360 0 0 0 268 361 0 0 0 269 361 0 0 0 269 362 0 0 0 270 309 -1 0 -1 270 311 -1 0 -1 270 363 0 0 0 271 273 0 0 0 271 309 -1 0 -1 271 314 -1 0 -1 272 314 -1 0 -1 272 355 0 0 0 273 364 0 0 0 273 365 0 0 0 274 365 0 0 0 274 366 0 0 0 275 367 0 0 0 276 279 0 0 0 276 362 0 0 0 276 368 0 0 0 277 280 0 0 0 277 345 0 0 0 277 369 0 0 0 278 370 0 0 0 279 366 0 0 0 279 371 0 0 0 280 358 0 0 0 280 372 0 0 0 281 294 0 0 0 282 284 0 0 0 282 357 1 0 0 283 296 0 0 0 283 319 0 0 -1 285 370 1 0 0 285 373 0 0 0 287 336 0 0 -1 287 373 0 0 0 288 289 0 0 0 289 336 0 0 -1 289 359 0 0 0 291 358 1 0 0 291 372 1 0 0 291 374 0 0 0 292 370 1 0 0 292 372 1 0 0 292 375 0 0 0 293 373 0 0 0 293 376 0 0 0 295 297 0 0 0 295 344 0 1 0 296 331 0 0 -1 298 367 0 1 0 298 377 0 0 0 300 350 0 0 -1 300 377 0 0 0 301 302 0 0 0 302 350 0 0 -1 302 363 0 0 0 304 345 0 1 0 304 369 0 1 0 304 374 -1 1 0 305 367 0 1 0 305 369 0 1 0 305 378 0 0 0 306 377 0 0 0 306 379 0 0 0 307 311 0 0 0 307 363 1 0 1 307 380 0 0 0 308 351 1 0 0 308 363 1 0 1 310 364 1 0 1 310 381 0 0 0 311 316 0 0 0 312 374 0 0 0 312 381 0 0 0 313 325 1 -1 0 313 364 1 0 1 314 365 1 0 1 315 332 0 0 0 315 365 1 0 1 316 353 1 0 1 316 382 0 0 0 317 329 0 0 0 317 353 1 0 1 317 354 1 0 1 318 354 1 0 1 318 355 1 0 1 318 383 0 0 0 319 331 0 0 0 319 383 0 0 0 320 324 0 0 0 320 359 0 1 1 320 384 0 0 0 321 337 0 1 0 321 359 0 1 1 323 360 0 1 1 323 381 -1 1 0 324 328 0 0 0 325 360 0 1 1 326 361 0 1 1 327 346 0 0 0 327 361 0 1 1 328 340 0 1 1 328 385 0 0 0 329 340 0 1 1 329 341 0 1 1 330 341 0 1 1 330 342 0 1 1 330 386 0 0 0 331 386 0 0 0 332 387 0 0 0 333 388 0 0 0 333 389 0 0 0 334 336 0 0 0 334 384 0 -1 0 334 390 0 0 0 335 384 0 -1 0 335 389 0 0 0 337 391 0 0 0 338 391 0 0 0 338 392 0 0 0 339 352 1 -1 0 339 389 0 0 0 340 393 0 0 0 341 343 0 0 0 343 356 1 -1 0 343 386 0 -1 -1 344 386 0 -1 -1 345 392 0 0 0 346 394 0 0 0 347 395 0 0 0 347 396 0 0 0 348 350 0 0 0 348 380 -1 0 0 348 397 0 0 0 349 380 -1 0 0 349 396 0 0 0 351 391 0 0 0 352 396 0 0 0 353 398 0 0 0 354 356 0 0 0 356 383 -1 0 -1 357 383 -1 0 -1 358 392 0 0 0 360 364 0 0 0 362 366 0 0 0 362 394 0 -1 -1 366 387 -1 0 -1 367 399 0 0 0 368 371 0 0 0 368 399 0 0 0 368 400 0 0 0 369 372 0 0 0 370 401 0 0 0 371 401 0 0 0 371 402 0 0 0 373 403 0 0 0 374 392 1 0 0 375 376 0 0 0 375 378 1 -1 0 375 401 1 0 0 376 393 0 0 0 376 403 0 0 0 377 404 0 0 0 378 379 0 0 0 378 399 0 1 0 379 398 0 0 0 379 404 0 0 0 380 405 0 0 0 381 391 1 0 0 382 385 0 0 0 382 398 1 0 1 382 405 0 0 0 384 406 0 0 0 385 393 0 1 1 385 406 0 0 0 387 394 1 -1 0 387 402 1 0 1 388 390 0 0 0 388 402 1 0 1 388 407 0 0 0 389 407 0 0 0 390 403 0 0 1 390 406 0 -1 0 393 398 1 -1 0 394 400 0 1 1 395 397 0 0 0 395 400 0 1 1 395 408 0 0 0 396 408 0 0 0 397 404 0 0 1 397 405 -1 0 0 399 404 0 -1 0 400 402 0 0 0 401 403 -1 0 0 405 408 1 0 0 406 407 0 1 0 407 408 1 -1 0
Key against the archive (rcsr-archive-key)
the same key, character for character
TD10 as Systre prints it (rcsr-archive-key)
773
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)
773.2941176470588
Genus (rcsr-archive-key)
409
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)
(4^2.5.6^3)15(4^2.6^4)2
Longest ring searched (rcsr-archive-key)
40
Computed by (rings, rcsr-archive-key)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 17, 25, 29, 121, 129, 144, 157, 158, 171, 210, 220, 283, 296, 308, 321, 372, 376, 380, 382, 385, 387, 391, 3944.4.5.6.6.6 4.4.5.6.6.6 4^2.5.6^3 4 10 19 32 48 70 96 125 162 201
1, 5, 49, 56, 90, 100, 132, 139, 186, 194, 197, 205, 208, 218, 243, 262, 292, 305, 311, 342, 355, 373, 406, 4074.4.5.6.6.6 4.4.5.6.6.6 4^2.5.6^3 4 10 19 32 50 72 100 134 167 207
2, 3, 9, 11, 36, 39, 52, 59, 70, 75, 95, 105, 133, 140, 172, 176, 187, 198, 207, 211, 214, 217, 221, 224, 226, 244, 245, 263, 264, 269, 281, 284, 294, 297, 309, 317, 322, 329, 332, 343, 344, 346, 356, 357, 389, 396, 402, 4034.4.5.6.6.6 4.4.5.6.6.6 4^2.5.6^3 4 10 19 32 49 70 97 127 160 204
4, 12, 47, 54, 86, 96, 155, 169, 190, 201, 242, 261, 265, 270, 286, 299, 313, 318, 325, 330, 337, 390, 399, 4014.4.5.6.6.6 4.4.5.6.6.6 4^2.5.6^3 4 10 19 32 48 68 94 121 153 196
6, 7, 15, 16, 23, 27, 77, 82, 91, 101, 115, 120, 123, 128, 130, 134, 135, 137, 141, 142, 150, 156, 164, 170, 184, 191, 193, 195, 202, 204, 209, 219, 238, 240, 257, 259, 290, 303, 310, 323, 340, 353, 375, 378, 388, 395, 404, 4054.4.5.6.6.6 4.4.5.6.6.6 4^2.5.6^3 4 10 19 33 50 73 101 132 169 211
8, 10, 24, 28, 51, 58, 60, 62, 67, 72, 80, 85, 106, 108, 116, 124, 136, 143, 148, 162, 185, 196, 227, 231, 241, 246, 250, 260, 276, 279, 307, 314, 320, 326, 331, 333, 341, 345, 347, 354, 358, 359, 362, 363, 366, 369, 398, 4004.4.5.6.6.6 4.4.5.6.6.6 4^2.5.6^3 4 10 19 32 48 69 95 124 159 199
13, 14, 22, 26, 30, 31, 46, 53, 88, 94, 98, 104, 117, 125, 145, 154, 159, 168, 173, 177, 181, 183, 188, 199, 215, 225, 233, 252, 266, 267, 271, 272, 274, 277, 282, 288, 295, 301, 335, 336, 349, 350, 360, 364, 367, 370, 386, 3934.4.5.6.6.6 4.4.5.6.6.6 4^2.5.6^3 4 10 19 32 48 68 93 121 152 193
18, 20, 35, 38, 40, 41, 43, 44, 68, 69, 73, 74, 76, 78, 81, 83, 118, 119, 126, 127, 131, 138, 151, 165, 192, 203, 213, 223, 235, 236, 237, 254, 255, 256, 280, 293, 315, 316, 327, 328, 338, 339, 351, 352, 381, 384, 392, 3974.4.6.6.6.6(2) 4.4.6.6.6.6 4^2.6^4 4 10 20 34 52 75 103 137 176 217
19, 21, 34, 37, 42, 45, 50, 57, 66, 71, 79, 84, 92, 93, 102, 103, 114, 122, 152, 153, 166, 167, 206, 212, 216, 222, 230, 234, 239, 249, 253, 258, 289, 291, 302, 304, 306, 312, 319, 324, 334, 348, 368, 371, 374, 377, 379, 3834.4.5.6.6.6 4.4.5.6.6.6 4^2.5.6^3 4 10 19 32 49 71 99 132 166 204
32, 33, 48, 55, 61, 63, 64, 65, 87, 89, 97, 99, 107, 109, 110, 111, 112, 113, 146, 147, 149, 160, 161, 163, 174, 175, 178, 179, 180, 182, 189, 200, 228, 229, 232, 247, 248, 251, 268, 273, 275, 278, 285, 287, 298, 300, 361, 3654.4.5.6.6.6 4.4.5.6.6.6 4^2.5.6^3 4 10 19 32 48 68 92 118 148 185

Cross-checks

Name against the computed key
single-source

Provenance

Source
rcsr
Identifier at the source
soa
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
1805 (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
2935 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.