p57 bumper loop

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p57 bumper loop
x = 44, y = 44, rule = B3/S23 14bo$14b3o$17bo7b3o$16b2o11bo$26bo2bobo2$12b2o8b2o3b4obo$12bo9bo5b3o2b o$10bobo8bo9bo$10b2o9b2o8bo2bo$7b2o25bo$5b2obo24bo$3b2obo27b3o$8bo27bo $3bo$3bob3o34b2o$b2o39bo$3bo36bobo$40b2o$6bobo$6bo2bo$5bo2b2o$34b2o2bo $34bo2bo$35bobo$2b2o$bobo36bo$bo39b2o$2o34b3obo$40bo$7bo27bo$7b3o27bob 2o$10bo24bob2o$9bo25b2o$9bo2bo8b2o9b2o$12bo9bo8bobo$10bo2b3o5bo9bo$11b ob4o3b2o8b2o2$12bobo2bo$14bo11b2o$16b3o7bo$27b3o$29bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 GPS 17 ZOOM 12 HEIGHT 600 WIDTH 600 POPUPHEIGHT 600 POPUPWIDTH 600 LOOP 58 ]]
Pattern type Oscillator
Oscillator type Relay
Number of cells 152
Bounding box 44 × 44
Period 57 (mod: 57)
Heat 120.56
Volatility 0.89 | 0.65
Kinetic symmetry Unspecified
Discovered by Entity Valkyrie
Year of discovery 2018

The p57 bumper loop is a period-57 oscillator made from p3 bumpers, found by Entity Valkyrie on October 26, 2018.[1] In terms of its 152 it is the smallest known oscillator of this period.

p3 bumper loops in addition give the smallest known oscillators of periods 69, 81 and 129, all also with 152 cells, but no other periods:

x = 208, y = 80, rule = B3/S23 174bo$162bo9b3o$162bo8bo$158bob2obo7b2o$158bo$157bo3bo5bo$157b2o2bo3b 2o$156bo4bo$156b2obo5bobo$166b2o$154b2o$155bo$95bo56b3o$83bo9b3o56bo$ 83bo8bo$31bo47bob2obo7b2o$19bo9b3o47bo$19bo8bo49bo3bo5bo$15bob2obo7b2o 48b2o2bo3b2o$15bo61bo4bo$14bo3bo5bo52b2obo5bobo$14b2o2bo3b2o63b2o$13bo 4bo56b2o$13b2obo5bobo51bo$23b2o48b3o$11b2o23b2o35bo29b2o89b2o$12bo24bo 66bo90bo$9b3o25bob2o63bob2o87bob2o$9bo28bo3bo62bo3bo86bo3bo$43bo66bo 90bo$40b2o3bo61b2o3bo85b2o3bo$42b2o65b2o89b2o$2o40b2ob2o14b2o46b2ob2o 14b2o70b2ob2o$bo40b2o18bo46b2o18bo70b2o$bobo39bo3bo14bobo45bo3bo14bobo 69bo3bo$2b2o41bobo15b2o47bobo15b2o71bobo$47bo66bo90bo2$43bo66bo90bo$8b 2o30bob2o25b2o36bob2o25b2o60bob2o$6b2obo30b2o25b2obo36b2o25b2obo60b2o$ 6bo60bo66bo2$2bo60bo66bo$2bobo41b2o15bobo47b2o15bobo71b2o$2bo3bo39bobo 14bo3bo45bobo14bo3bo69bobo$6b2o40bo18b2o46bo18b2o70bo$3b2ob2o40b2o14b 2ob2o46b2o14b2ob2o70b2o$6b2o59b2o65b2o$4bo3b2o55bo3b2o61bo3b2o$6bo60bo 66bo$7bo3bo28bo27bo3bo62bo3bo$9b2obo25b3o29b2obo63b2obo$12bo24bo35bo 66bo$12b2o23b2o34b2o29bo35b2o$25b2o75b3o$25bobo5bob2o64bo$31bo4bo64b2o $26b2o3bo2b2o53b2o$25bo5bo3bo53bobo5bob2o$34bo60bo4bo$20b2o7bob2obo55b 2o3bo2b2o$21bo8bo58bo5bo3bo$18b3o9bo67bo$18bo65b2o7bob2obo$85bo8bo$82b 3o9bo88bo$82bo98b3o$180bo$180b2o$168b2o$168bobo5bob2o$174bo4bo$169b2o 3bo2b2o$168bo5bo3bo$177bo$163b2o7bob2obo$164bo8bo$161b3o9bo$161bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 ZOOM 4 WIDTH 1000 HEIGHT 500 POPUPWIDTH 1000 POPUPHEIGHT 500 GPS 20 ]] #C [[ COLOR LABEL RED LABELSIZE 14 ]] #C [[ LABEL 24 39 1.5 "69" LABEL 88 39 1.5 "81" LABEL 167 39 1.5 "129" ]]
p69, p81 and p129 p3 bumper loops
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See also

References

  1. ↑ Entity Valkyrie (October 26, 2018). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums