Difference between revisions of "Table of oscillators by period"

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m (I do not want to do this, but they are not relays, even in the least strict sense of that term. I will not undo any further edits - until we decide, I will start cool-off period.)
Tag: Undo
(12 intermediate revisions by 4 users not shown)
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| style="background-color:#80ff80" | [[mold on pentadecathlon|60]]
| style="background-color:#80ff80" | [[mold on pentadecathlon|60]]
| style="background-color:#c6efce" | [[P61 pi-heptomino hassler|61]]
| style="background-color:#c6efce" | [[P61 pi-heptomino hassler|61]]
| style="background-color:#c6efce" | [[66P62|62]]
| style="background-color:#80ff80" | [[66P62|62]]
| style="background-color:#c6efce" | [[64P63|63]]
| style="background-color:#80ff80" | [[64P63|63]]
| style="background-color:#c6efce" | [[Merzenich's p64|64]]
| style="background-color:#c6efce" | [[Merzenich's p64|64]]
| style="background-color:#80ff80" | [[fumarole on Beluchenko's p13|65]]
| style="background-color:#80ff80" | [[fumarole on Beluchenko's p13|65]]
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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:#d0b65a" | {{LinkCatagolue|xp118_yaggdbgy4ggozy956078cy3320g0s4zg88gkcwgy1ok46y1rhex11z12pm0dd11yfcc0q6gzydo8a6y1311da2543zw8e130gg06952wc4o0o8zy16221y4ld221zyd11|patternname=118|style=raw}}
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| style="background-color:#c6efce" | [[72P119|119]]
| style="background-color:#c6efce" | [[72P119|119]]
| style="background-color:#80ff80" | [[figure eight on pentadecathlon|120]]
| style="background-color:#80ff80" | [[figure eight on pentadecathlon|120]]
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| style="background-color:#80ff80" | {{LinkCatagolue|xp130_x32acz31e88g0653zy01pgz66w1023z66w8gkcy2o62453zy08py532156zc8711w6aczxc453|patternname=130|style=raw}}
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| style="background-color:#aaccff" | [[rectifier#SKOPs|131]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|131]]
| style="background-color:#80ff80" | [[mold on Jason's p33|132]]
| style="background-color:#80ff80" | {{LinkCatagolue|xp132_y6j3z064koy1bluy0goo8zz2331y0flqy1354czy1gxopzw332f7zy1121|patternname=132|style=raw}}
| style="background-color:#c6efce" | [[B-heptomino hasslers#p133|133]]
| style="background-color:#c6efce" | [[B-heptomino hasslers#p133|133]]
| style="background-color:#c6efce" | [[141P134|134]]
| style="background-color:#c6efce" | [[141P134|134]]
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| style="background-color:#c6efce" | [[p140 two-glider octomino hassler|140]]
| style="background-color:#c6efce" | [[p140 two-glider octomino hassler|140]]
| style="background-color:#80ff80" | [[Fire-spitting#LCM oscillators|141]]
| style="background-color:#80ff80" | [[Fire-spitting#LCM oscillators|141]]
| style="background-color:#d0b65a" | {{LinkCatagolue|xp142_ydggdby5ggozyc56079cwg84o0320g0s4zydgy311y111zciak5b88cy16511y9cc0q6gzw65033y9o8a6y1311da2543zxg8oy0275zw230ggkcy3e9egmazy11y7db|patternname=142|style=raw}}
| style="background-color:#ccaaff" | {{LinkCatagolue|xp142_ydggdby5ggozyc56079cwg84o0320g0s4zydgy311y111zciak5b88cy16511y9cc0q6gzw65033y9o8a6y1311da2543zxg8oy0275zw230ggkcy3e9egmazy11y7db|patternname=142|style=raw}}
| style="background-color:#80ff80" | {{LinkCatagolue|xp143_xgbb88gzy1cd3gv04aczc4530gy1gr3zy1d5a64210g8c4066zy7kr6og|patternname=143|style=raw}}
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| style="background-color:#c6efce" | [[Achim's p144|144]]
| style="background-color:#c6efce" | [[Achim's p144|144]]
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|- align=center valign=center
|- align=center valign=center
| style="background-color:#aaccff" | [[rectifier#SKOPs|169]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|169]]
| style="background-color:#d0b65a" | {{LinkCatagolue|xp170_y6438g0ia4zx66w66xac4zxggo4c4oggyh66x66zca16888188861acya358mhh181hhm853zy066x66yj12321zyv66w66zym252x66|patternname=170|style=raw}}
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| style="background-color:#aaccff" | [[rectifier#SKOPs|171]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|171]]
| style="background-color:#80ff80" | {{LinkCatagolue|xp172_y6c88gy832aczy811yl33y2oge2zy2gy6ccgccy3oo4ooy67z0o4cw3z11y433y5o8ya6a8ozya37bkicw113|patternname=172|style=raw}}
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| style="background-color:#aaccff" | [[rectifier#SKOPs|227]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|227]]
| style="background-color:#80ff80" | [[unix on p76 pi-heptomino hassler|228]]
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| style="background-color:#aaccff" | [[rectifier#SKOPs|229]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|229]]
| style="background-color:#80ff80" | [[Twin bees shuttle#Gallery|230]]
| style="background-color:#80ff80" | [[Twin bees shuttle#Gallery|230]]
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| style="background-color:#aaccff" | [[rectifier#SKOPs|262]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|262]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|263]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|263]]
| style="background-color:#80ff80" | {{LinkCatagolue|xp264_252y2gycggz652y2o99gy5oq1851zy4stgc87zy6s261n7zy71ii3y28kczya1y28k8|patternname=264|style=raw}}
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|- align=center valign=center
|- align=center valign=center
| style="background-color:#80ff80" | {{LinkCatagolue|xp265_y83pmwmp3y064kozy1o8y411y7ca6z2egow1178cy4cc8goczy1653zymgo8gggy4gg06530o8gzyhggx1x11y41074kox32zyg321o8zyk113|patternname=265|style=raw}}
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|- align=center valign=center
|- align=center valign=center
| style="background-color:#aaccff" | [[rectifier#SKOPs|289]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|289]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|290]]
| style="background-color:#80ff80" | {{LinkCatagolue|xp290_y9ca23zy4gosoy3oozccy067yec88gxc846l3wszyo1p444ox3wca6213zy5ggy3gggge6y2111zy511y3131zy9c453|patternname=290|style=raw}}
| style="background-color:#aaccff" | [[rectifier#SKOPs|291]]
| style="background-color:#aaccff" | [[rectifier#SKOPs|291]]
| style="background-color:#80ff80" | [[p146 pi-heptomino hassler#LCM oscillators|292]]
| style="background-color:#80ff80" | [[p146 pi-heptomino hassler#LCM oscillators|292]]
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|- align=center valign=center
|- align=center valign=center
| colspan="4" | Key:
| colspan="4" | Key:
| colspan="4" style="background-color:#c6efce" | known
| colspan="4" style="background-color:#c6efce" | [[Engine]]-based
| colspan="4" style="background-color:#80ff80" | [[LCM]]
| colspan="4" style="background-color:#80ff80" | [[LCM]]/[[Phase]] shifting
| colspan="4" style="background-color:#aaccff" | [[rectifier]] loop
| colspan="4" style="background-color:#aaccff" | [[Rectifier]] loop
| colspan="4" style="background-color:#ccaaff" | [[adjustable glider loop|other glider loop]]
| colspan="4" style="background-color:#ccaaff" | [[adjustable glider loop|Other glider loop]]
| colspan="4" style="background-color:#d0b65a" | [[shuttle#Glider shuttle|glider shuttle]]
| colspan="4" style="background-color:#d0b65a" | [[Relay]]
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Revision as of 02:46, 16 February 2024

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
Key: Engine-based LCM/Phase shifting Rectifier loop Other glider loop Relay

Higher periods

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

period/minimum population
528/81* 528/81* 616/81 635/89 638/92 645/50 651/108 664/74 682/84 690/40 704/72 720/54
730/68 760/83 762/90 770/80 792/83 796/96 828/50 836/90 874/72 889/115 903/72 920/54
924/78 960/46 966/70 988/91 992/93 995/99 1008/76 1016/86 1022/86 1032/50 1104/57 1150/58
1178/92 1330/88 1480/84 1518/72 1584/78 1606/88 1900/87 1905/86 1932/72 2156/104 2356/105 2920/78
2794/110 2985/96 3358/80 3942/95 4526/100 4900/96 4975/114 5160/64

A larger table of higher-period SKOPs up to period 2048 (plus a few higher periods) has been added here as of November 2023.

External links

Retrieved from "https://conwaylife.com/w/index.php?title=Table_of_oscillators_by_period&oldid=145720"