Electric fence

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Electric fence
x = 61, y = 15, rule = B3/S23 10bo$9bobo24b2o$2bo4b3obo5bo19bo3bo2bo6bo5b2o$bobo2bo4b2o3bobo18bob3o 2b3o3bobo4bo$bobo2bob2o7bo20bo3b2o3bobo2bo6bo$2ob2obobob5o5bo18b2o3bo 2bobob2ob2o2b2o$bobo2bo3bo2bo2bo7b2o3b2o3b2o4b2ob2o2bobo2bobobo$bo2b2o 4b2o6b3ob2o3b2o3b2o3b3o5b4ob3obo3b2o$2bo2b3o2bo2bob4o3b2o3b2o3b2o3b3ob 2o2bo4bobo4bo2bo$3b2o3bobo2bo5b2o3b2o3b2o3b2o6bo12bo3b2o$5b2obob2obob 2o2bo22bo8b2obo$5bob2obo2bob2o4bo17b2obobo$11b2o7b2o18bo2b2o$38bobo$ 38b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 3 ZOOM 8 LOOP 5 ]]
Pattern type Oscillator
Number of cells 197
Bounding box 61×15
Period 5
Mod 5
Heat 72.8
Volatility 0.59
Strict volatility 0.59
Discovered by Dean Hickerson
Year of discovery 1993

Electric fence is a stabilization of ants and therefore an extensible period-5 oscillator.[1] It was found by Dean Hickerson in February 1993.[2]

Extensions

Because both independent terminations of electric fence have a period of 5 and the ants wick has a mod of 1, there are five different phase combinations, and the shortest possible cases are demonstrated below. Some are so short that the ants wick is hardly visible.

x = 52, y = 95, rule = B3/S23 14bo$13bobo11b2o$6bo4b3obo5bo6bo3bo2bo6bo5b2o$5bobo2bo4b2o3bobo5bob3o 2b3o3bobo4bo$5bobo2bob2o7bo7bo3b2o3bobo2bo6bo$4b2ob2obobob5o5bo5b3o2b 4obob2ob2o2b2o$5bobo2bo3bo2bo2bo10bob2o5bo2bobo2bo$5bo2b2o4b2o6b3ob4o 4bobobo2bobobob4o$6bo2b3o2bo2bob4o3b2o2b3o5bob2o3bo5bo$7b2o3bobo2bo5b 2o3b4o2bo7b3o5b2o$9b2obob2obob2o2bo6bo2bo$9bob2obo2bob2o4bo4b2obobo$ 15b2o7b2o5bo2b2o$29bobo$29b2o6$13bo$12bobo12b2o$5bo4b3obo5bo7bo3bo2bo 6bo5b2o$4bobo2bo4b2o3bobo6bob3o2b3o3bobo4bo$4bobo2bob2o7bo8bo3b2o3bobo 2bo6bo$3b2ob2obobob2obo4b3o6b3o2b4obob2ob2o2b2o$4bo4bobobo2b2obob2o8bo b2o5bo2bobo2bo$4bobobo5bobob2ob2obob4o4bobobo2bobobob4o$5bo2b2obobob2o b2o6b2o2b3o5bob2o3bo5bo$6b2o3bobo2bo5b2o4b4o2bo7b3o5b2o$8b2obob2obob2o 2bo7bo2bo$8bob2obo2bob2o4bo5b2obobo$14b2o7b2o6bo2b2o$29bobo$29b2o6$12b o$11bobo13b2o$4bo4b3obo5bo8bo3bo2bo6bo5b2o$3bobo2bo4b2o3bobo7bob3o2b3o 3bobo4bo$3bobo2bob2o3bo3bo9bo3b2o3bobo2bo6bo$2b2ob2obobob2o8bo7b3o2b4o bob2ob2o2b2o$3bo4b2o4b2o3bob2o8bob2o5bo2bobo2bo$3bob2o2bo3bobob2o2bob 2ob4o4bobobo2bobobob4o$4bo3b3obobo2bo4bo3b2o2b3o5bob2o3bo5bo$5b2o3bobo 2bo5b2o5b4o2bo7b3o5b2o$7b2obob2obobo3bo8bo2bo$7bob2obo2bob2o4bo6b2obob o$13b2o7b2o7bo2b2o$29bobo$29b2o6$11bo$10bobo14b2o$3bo4b3obo5bo9bo3bo2b o6bo5b2o$2bobo2bo4b2o3bobo8bob3o2b3o3bobo4bo$2bobo2bob2o7bo10bo3b2o3bo bo2bo6bo$b2ob2obobob3obo14b3o2b4obob2ob2o2b2o$2bo4bo12b3obo6bob2o5bo2b obo2bo$2bob3o3b2obo3b4o5b4o4bobobo2bobobob4o$3bo2b3o4bobob2o4bo2b2o2b 3o5bob2o3bo5bo$4b2o3bobo2bo3b4o2bo3b4o2bo7b3o5b2o$6b2obob2obob2o2bo9bo 2bo$6bob2obo2bob2o4bo7b2obobo$12b2o7b2o8bo2b2o$29bobo$29b2o6$10bo$9bob o15b2o$2bo4b3obo5bo10bo3bo2bo6bo5b2o$bobo2bo4b2o3bobo9bob3o2b3o3bobo4b o$bobo2bob2o7bo11bo3b2o3bobo2bo6bo$2ob2obobob5o15b3o2b4obob2ob2o2b2o$b obo2b2o5b2o5b2ob2o6bob2o5bo2bobo2bo$bob2o2bob4ob2o2b2ob2o3b4o4bobobo2b obobob4o$2bo3b2o2bobobob2o4bo3b2o2b3o5bob2o3bo5bo$3b2o3bobo2bo5b2o2b2o 3b4o2bo7b3o5b2o$5b2obob2obob2o2bo10bo2bo$5bob2obo2bob2o4bo8b2obobo$11b 2o7b2o9bo2b2o$29bobo$29b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 HEIGHT 800 WIDTH 600 GPS 3 AUTOSTART LOOP 5 ]] #C [[ LABEL -5 5 2 "1" ]] #C [[ LABEL -5 25 2 "2" ]] #C [[ LABEL -5 45 2 "3" ]] #C [[ LABEL -5 65 2 "4" ]] #C [[ LABEL -5 85 2 "5" ]]
Five shortest electric fences (click above to open LifeViewer)
RLE: here Plaintext: here

Any one of them can be extended by moving the rightmost 26 columns 5n cells to the right and inserting n units of ant in the gap. The resulting changes in population, heat and volatility are listed in the following table.

Number Min Pop. Heat Volatility
1 173+8n 52.0+8n (121+20n)/(240+20n)
2 173+8n 53.6+8n (125+20n)/(244+20n)
3 176+8n 55.2+8n (129+20n)/(248+20n)
4 181+8n 56.8+8n (133+20n)/(252+20n)
5 180+8n 58.4+8n (137+20n)/(256+20n)

The pattern shown in the infobox is the n=2 version for #4.

See also

References

External links

  • 205P5.1 at Heinrich Koenig's Game of Life Object Catalogs (n=3 version for #4)