Difference between revisions of "Table of oscillators by period"

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(→‎Higher periods: out of order)
 
(34 intermediate revisions by 3 users not shown)
Line 110: Line 110:
| style="background-color:#c6efce" | [[116P101|101]]
| style="background-color:#c6efce" | [[116P101|101]]
| style="background-color:#c6efce" | [[Raucci's p102|102]]
| style="background-color:#c6efce" | [[Raucci's p102|102]]
| style="background-color:#ccaaff" | [[Adjustable glider loops|103]]
| style="background-color:#c6efce" | [[siffrin's p103|103]]
| style="background-color:#80ff80" | [[figure eight on Beluchenko's p13|104]]
| style="background-color:#80ff80" | [[figure eight on Beluchenko's p13|104]]
| style="background-color:#80ff80" | [[pentadecathlon on 34P7|105]]
| style="background-color:#80ff80" | [[pentadecathlon on 34P7|105]]
Line 123: Line 123:
| style="background-color:#80ff80" | [[Caterer on 42P38|114]]
| style="background-color:#80ff80" | [[Caterer on 42P38|114]]
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| style="background-color:#80ff80" | [[Beluchenko's p13#LCM oscillators|117]]
| style="background-color:#80ff80" | [[Beluchenko's p13#LCM oscillators|117]]
| style="background-color:#c6efce" | [[86P118|118]]
| style="background-color:#c6efce" | [[86P118|118]]
Line 143: Line 143:
| style="background-color:#c6efce" | [[B-heptomino hasslers#p133|133]]
| style="background-color:#c6efce" | [[B-heptomino hasslers#p133|133]]
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| style="background-color:#80ff80" | [[pentadecathlon on 56P27|135]]
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| style="background-color:#88ff80" | [[p68 century hassler#LCM oscillators|136]]
| style="background-color:#88ff80" | [[p68 century hassler#LCM oscillators|136]]
| style="background-color:#aaddff" | [[rectifier#SKOPs|137]]
| style="background-color:#aaddff" | [[rectifier#SKOPs|137]]
Line 188: Line 188:
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| style="background-color:#c6efce" | [[Karel's p177|177]]
| style="background-color:#c6efce" | [[Karel's p177|177]]
| style="background-color:#d0b65a" | [[Speed_tunnel#Jubjub_reflector|178]]
| style="background-color:#c6efce" | [[Pi-heptomino_hasslers#p178|178]]
| style="background-color:#aaddff" | [[rectifier#SKOPs|179]]
| style="background-color:#aaddff" | [[rectifier#SKOPs|179]]
| style="background-color:#d0b65a" | [[p60 glider shuttle|180]]
| style="background-color:#d0b65a" | [[p60 glider shuttle|180]]
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| style="background-color:#aaccff" | [[rectifier#SKOPs|213]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|213]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|214]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|214]]
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Line 244: Line 244:
| style="background-color:#80ff80" | [[Twin bees shuttle#Gallery|230]]
| style="background-color:#80ff80" | [[Twin bees shuttle#Gallery|230]]
| style="background-color:#80ff80" | [[Rattlesnake on 32P21|231]]
| style="background-color:#80ff80" | [[Rattlesnake on 32P21|231]]
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| style="background-color:#aaddff" | [[rectifier#SKOPs|233]]
| style="background-color:#aaddff" | [[rectifier#SKOPs|233]]
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| style="background-color:#aaddff" | [[rectifier#SKOPs|239]]
| style="background-color:#aaddff" | [[rectifier#SKOPs|239]]
| style="background-color:#80ff80" | [[pentadecathlon on Rob's p16|240]]
| style="background-color:#80ff80" | [[pentadecathlon on Rob's p16|240]]
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| style="background-color:#aaddff" | [[rectifier#SKOPs|251]]
| style="background-color:#aaddff" | [[rectifier#SKOPs|251]]
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Line 274: Line 274:
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| style="background-color:#aaccff" | [[rectifier#SKOPs|262]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|262]]
| style="background-color:#aaddff" | [[rectifier#SKOPs|263]]
| style="background-color:#aaddff" | [[rectifier#SKOPs|263]]
Line 302: Line 302:
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| style="background-color:#aaccff" | [[rectifier#SKOPs|287]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|287]]
| style="background-color:#ccaaff" | [[hotcrystal0 reaction#Generalized form|288]]
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| style="background-color:#aaccff" | [[rectifier#SKOPs|289]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|289]]
Line 338: Line 338:
| style="background-color:#80ff80" | [[fumarole on Merzenich's p64|320]]
| style="background-color:#80ff80" | [[fumarole on Merzenich's p64|320]]
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| style="background-color:#d0b65a" | [[Twin bees shuttle|322]]
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| style="background-color:#aaccff" | [[rectifier#SKOPs|323]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|323]]
| style="background-color:#ccaaff" | [[hotcrystal0 reaction#Generalized form|324]]
| style="background-color:#ccaaff" | [[hotcrystal0 reaction#Generalized form|324]]
Line 346: Line 346:
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| style="background-color:#aaccff" | [[rectifier#SKOPs|329]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|329]]
| style="background-color:#d0b65a" | [[Pentadecathlon|330]]
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| style="background-color:#aaddff" | [[rectifier#SKOPs|331]]
| style="background-color:#ccaaff" | [[hotcrystal0 reaction#Generalized form|332]]
| style="background-color:#ccaaff" | [[hotcrystal0 reaction#Generalized form|332]]
Line 365: Line 365:
| style="background-color:#aaccff" | [[rectifier#SKOPs|346]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|346]]
| style="background-color:#aaddff" | [[rectifier#SKOPs|347]]
| style="background-color:#aaddff" | [[rectifier#SKOPs|347]]
| style="background-color:#ccaaff" | [[hotcrystal0 reaction#Generalized form|348]]
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Line 373: Line 373:
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| style="background-color:#d0b65a" | [[p6 thumb|354]]
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| style="background-color:#aaddff" | [[rectifier#SKOPs|359]]
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Line 396: Line 396:
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| style="background-color:#aaddff" | [[rectifier#SKOPs|379]]
| style="background-color:#aaddff" | [[rectifier#SKOPs|379]]
| style="background-color:#80ff80" | [[Fumarole on p76 pi-heptomino hassler|380]]
| style="background-color:#80ff80" | [[Fumarole on p76 pi-heptomino hassler|380]]
Line 426: Line 426:
| style="background-color:#d0b65a" | [[Pentadecathlon|405]]
| style="background-color:#d0b65a" | [[Pentadecathlon|405]]
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Line 432: Line 432:
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Line 486: Line 486:
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Line 539: Line 539:
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Line 556: Line 556:
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Line 598: Line 598:
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Line 607: Line 607:
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Line 621: Line 621:
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A larger table of higher-period SKOPs up to period 2048 (plus a few higher periods) has been added [https://conwaylife.com/wiki/User:Galoomba/Skopje here] as of November 2023.
A larger table of higher-period SKOPs up to period 2048 (plus a few higher periods) is available [https://conwaylife.com/wiki/User:Galoomba/Skopje here].


== External links ==
== External links ==

Latest revision as of 19:51, 2 June 2026

This table provides a link to the Smallest Known Oscillator for each Period (SKOP). Smallness is by minimum population. Where there is more than one SKOP for a period, only one is linked.

Smallest oscillator for each period
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 47 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 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
169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216
217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264
265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312
313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360
361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408
409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456
457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504
505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552
553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600
Key: Engine-based LCM/Phase shifting Rectifier loop, prime Rectifier loop, composite Other glider loop Glider shuttle

Higher periods

Links for SKOPs for selected higher periods. An * denotes different patterns with equal minimum population for the same period.

period/minimum population
616/81 635/89 638/92 645/50 651/108 664/74 665/100 682/84 690/40 704/72 720/54 730/68
760/83 762/90 770/80 792/81 796/96 828/50 836/90 874/70 889/108 903/72 920/54 924/78
935/130 960/46 966/70 988/91 995/99 1008/76 1016/86 1022/85 1032/50 1075/100 1088/73 1104/57
1150/58 1178/92 1240/74 1330/86 1480/84 1518/69 1584/78 1606/87 1791/126 1862/86 1900/87 1905/86
1932/70 2156/100 2356/105 2794/110 2920/77 2985/96 3358/79 3942/94 4526/100 4900/96 4975/114 5160/64

A larger table of higher-period SKOPs up to period 2048 (plus a few higher periods) is available here.

External links

Retrieved from "https://conwaylife.com/w/index.php?title=Table_of_oscillators_by_period&oldid=172880"