p143 Bandersnatch loop

p143 Bandersnatch loop
x = 46, y = 56, rule = B3/S23 15bo$14bobo$14bobo7b2o$12b3ob2o6b2o$11bo19b2o$12b3ob2o13b2o$14bob2o4$27bo$26b obo$25bo2bo$26b2o9b2o$37b2o2$42bo$15b2o7b2o14b3o$15b2o6bobo13bo$25bo13b2o$9b 2o34bo$9b2o32b3o$42bo$3b2o37b2o$3b2o4b2o$9b2o5$35b2o$35b2o4b2o$2b2o37b2o$3bo$ 3o32b2o$o34b2o$5b2o13bo$6bo13bobo6b2o$3b3o14b2o7b2o$3bo2$7b2o$7b2o9b2o$17bo2b o$17bobo$18bo4$28b2obo$13b2o13b2ob3o$13b2o19bo$20b2o6b2ob3o$20b2o7bobo$29bobo $30bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 710 THUMBSIZE 3 ZOOM 12 GPS 13 ]]
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Pattern type	Oscillator
Number of cells	144
Bounding box	46 × 56
Period	143 (mod: 143)
Heat	60.5
Volatility	0.94 | 0.94
Kinetic symmetry	Unspecified
Discovered by	Sphenocorona iNoMed
Year of discovery	2020
Rules Outer-totalistic rules B3/S23 only # of rules 20 = 1 Isotropic rules B3/S23 – B3/S236i
Glider synthesis Fewest gliders (canonical) 58† Catagolue-generated RLE (canonical) synthesis Fewest gliders (cheapest variant) 42† Catagolue-generated RLE (cheapest variant) synthesis Uploaded synthesis RLE p143bandersnatchloop_synth.rle †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext p143bandersnatchloop.cells RLE p143bandersnatchloop.rle
Identifiers apgcode (canonical) xp143_y7g88e1e8y2ccy1ggzy8113033y911zyl4a96y4oozybccy284sy9ok46zxooy0jjyrca23zy511zggkcyrjjy066z1wo8a6y9e84y2ccy011zy366y4o4k8zye1y5gg0gzy933y1ccy25t0t552zyq1 apgcode (cheapest variant) xp143_y7g88e1e8y2ccy1ggzy8113033y911zyl4a96y4oozybccy342ey8ok46zyzxgs26zzoge2zxo8a6y8sg8y3cczy366y4o4k8zye1y5gg0gzy933y1ccy25t0t552zyq1

The p143 Bandersnatch loop is a period-143 oscillator found by Sphenocorona on June 10, 2020. Originally stabilized using two copies of 66P13, a smaller version using only still lifes as stabilization was found by iNoMed on January 3, 2022. A 58-glider synthesis of this latter version was found later the same day.

Also on January 3, Entity Valkyrie found a stabilization that doubles the overall period of the oscillator to 286. A glider synthesis for this version was found on February 19.

On January 2, 2023, EvinZL found a smaller version of the p143 bandersnatch loop, with minimum population 122.

x = 64, y = 56, rule = B3/S23 24bo$23bobo$23bobo7b2o$21b3ob2o6b2o$20bo19b2o$21b3ob2o13b2o$23bob2o4$ 36bo$35bobo$34bo2bo$35b2o9b2o$46b2o2$5bo45bo$3b5o16b2o23b3o$2bo5bo15b 2o6b3o13bo$2bo2b3o10b2o14bo13b2o$b2obo13bo14bo$o3b2o9b2obo34b2o$bobo2b o10bo35bo$2ob2ob2o5bo37bobo4bo$7bo4bo38b2o3b5o$2ob2ob2o5bobo39bo5bo$bo bo2bo49b3o2bo$o3b2o53bob2o$b2obo53b2o3bo$2bo2b3o49bo2bobo$2bo5bo39bobo 5b2ob2ob2o$3b5o3b2o38bo4bo$5bo4bobo37bo5b2ob2ob2o$10bo35bo10bo2bobo$9b 2o34bob2o9b2o3bo$30bo14bo13bob2o$14b2o13bo14b2o10b3o2bo$15bo13b3o6b2o 15bo5bo$12b3o23b2o16b5o$12bo45bo2$16b2o$16b2o9b2o$26bo2bo$26bobo$27bo 4$37b2obo$22b2o13b2ob3o$22b2o19bo$29b2o6b2ob3o$29b2o7bobo$38bobo$39bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 480 THEME Book THUMBSIZE 2 ZOOM 8 STARTFROM 143 ]]

The original stabilisation (254P143) using two copies of 66P13 (click above to open LifeViewer) Catagolue: here

x = 46, y = 56, rule = B3/S23 15bo$14bobo$14bobo7b2o$12b3ob2o6b2o$11bo19b2o$12b3ob2o13b2o$14bob2o4$ 27bo$26bobo$25bo2bo$26b2o9b2o$37b2o2$42bo$15b2o23b3o$15b2o22bo$39b2o$ 9b2o10b3o21bo$9b2o12bo19b3o$22bo19bo$3b2o37b2o$3b2o4bo$9b2o5$35b2o$36b o4b2o$2b2o37b2o$3bo19bo$3o19bo12b2o$o21b3o10b2o$5b2o$6bo22b2o$3b3o23b 2o$3bo2$7b2o$7b2o9b2o$17bo2bo$17bobo$18bo4$28b2obo$13b2o13b2ob3o$13b2o 19bo$20b2o6b2ob3o$20b2o7bobo$29bobo$30bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 480 THEME Book THUMBSIZE 2 ZOOM 8 STARTFROM 143 ]]

144P143 (click above to open LifeViewer) Catagolue: here

x = 42, y = 56, rule = B3/S23 13bo$12bobo$12bobo7b2o$10b3ob2o6b2o$9bo19b2o$10b3ob2o13b2o$12bob2o4$ 25bo$24bobo$23bo2bo$24b2o9b2o$6bo28b2o$4b3o$3bo36bo$3b2o8b2o23b3o$13b 2o22bo$2o35b2o$obo4b2o10b3o$b2o4b2o12bo$20bo2$7bo$7b2o5$33b2o$34bo2$ 21bo$20bo12b2o4b2o$20b3o10b2o4bobo$3b2o35b2o$4bo22b2o$b3o23b2o8b2o$bo 36bo$35b3o$5b2o28bo$5b2o9b2o$15bo2bo$15bobo$16bo4$26b2obo$11b2o13b2ob 3o$11b2o19bo$18b2o6b2ob3o$18b2o7bobo$27bobo$28bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 480 THEME Book THUMBSIZE 2 ZOOM 8 GPS 30 STARTFROM 286 ]]

Period-doubling stabilisation (148P286) (click above to open LifeViewer) Catagolue: here

x = 46, y = 56, rule = B3/S23 15bo$14bobo$14bobo7b2o$12b3ob2o6b2o$11bo19b2o$12b3ob2o13b2o$14bob2o4$ 27bo$26bobo$25bo2bo$26b2o9b2o$37b2o2$25b2o15bo$15b2o7bobo13b3o$15b2o9b o12bo$39b2o2$44b2o$43bobo$43bo$42b2o7$2b2o$2bo$obo$2o2$5b2o$6bo12bo9b 2o$3b3o13bobo7b2o$3bo15b2o2$7b2o$7b2o9b2o$17bo2bo$17bobo$18bo4$28b2obo $13b2o13b2ob3o$13b2o19bo$20b2o6b2ob3o$20b2o7bobo$29bobo$30bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 480 THEME Book THUMBSIZE 2 ZOOM 8 GPS 30 STARTFROM 143 ]]

122P143 (click above to open LifeViewer) Catagolue: here

External links

• p143 Bandersnatch loop with 66P13 at Adam P. Goucher's Catagolue (extended)
• p143 Bandersnatch loop with three-block clusters at Adam P. Goucher's Catagolue

• p143 Bandersnatch loop without three-block clusters at Adam P. Goucher's Catagolue
• p143 Bandersnatch loop with period-doubling reaction at Adam P. Goucher's Catagolue