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 ]]
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Pattern type Oscillator
Number of cells 197
Bounding box 61 × 15
Period 5 (mod: 5)
Heat 72.8
Volatility 0.59 | 0.59
Kinetic symmetry Unspecified
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.

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 below.

Number Population Heat Volatility
1 179+8n 52.0+8n
2 183+8n 53.6+8n
3 179+8n 55.2+8n
4 182+8n 56.8+8n
5 189+8n 58.4+8n

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

Further extensions

It is possible to hold more than one chain of ants wick in a period-5 oscillator with actively connected rotor. Shown below are three versions of light speed oscillator, so named because the ants wick apparently travel at lightspeed, that were discovered by Josh Ball in August 2007. [citation needed]

x = 69, y = 19, rule = B3/S23 22b2o19bo2bo$22bobo18b4o$24bo3bo2bo2bo2bo2bo6b2o15b2o$23b2ob21o2bob2ob o2bo2bo3bo$18b2o2bo2bo22bo3bob4o2b3obo$14b2obobo2b2o2b3o2b3o2b3o2b3o2b 2ob2o7b2o3bob2o$b2o2b2o3b2o3bobo6b2o4b2o3b2o3b2o5bobob5o2bo2bo3bo2bo$b o3bobo2bo3bo3bo3b2o2b2o3b3o2b3o2b3ob2o3bo3bo4bob2o2bob2o$2b3o2bo3bo2b 5o2bo4bo19bo5b4o2bo5b2o$4bobob4o5b2o3bobob2o3b3o2b3o2b3ob2o3bo3bo4bob 2o2bob2o$6bobo3b5o2bo2bo7b2o3b2o3b2o5bobob5o2bo2bo3bo2bo$6bo2bobo6bobo b7o2b3o2b3o2b3o2b2ob2o7b2o3bob2o$3bo2bo2bo2bobo2b4obo25bo3bob4o2b3obo$ 3b2obob2o4bo7bob23o2bob2obo2bo2bo3bo$3bobo3bobo4b6obo4bo2bo2bo2bo2bo6b 2o15b2o$bobobob2o2b5o5bobobo17b4o$obo3bo2b2o4bob2o2bo2b2o17bo2bo$bo5bo bo2bo3b2obobo$8bo2b2o7bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 HEIGHT 600 WIDTH 600 GPS 3 AUTOSTART LOOP 5 ]]
Light speed oscillator 1

(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 85, y = 25, rule = B3/S23 58b2o2b2o$58bobo2b3o$52bob2o4b2o4bo8b2o$25b2o2b2ob2o15bo2b2obo3bo2b2o 2bo7bo2bo$24bo2bo2bobo16b3o4b2o2bo3bob2o5bo2b2o$23bob2o3bo3bo2bo2bo2bo 2bo6b2obob2ob2obobo5bob2o2b2o$24bo2b3ob22obo4bobob2o2bo4bo3bo3bo$22bob obo2bobo23bo3bo2b2obo3b2obo3b3o2bo$22b2o2bobo4b2o2b3o2b3o2b3o2b3o3b2o 2bo6b2o5b2obobo2bo$26bobo2bob3o3b2o3b2o3b2o7b2o2b2o13b3o2b3o$4bo17b4o 4bo3bo2b3o2b3o2b3o3bo3bo5bo13bo2b2o$3bobo16bo3b5o22bo3b2o18b3o2bo$2bob o20bo2bo2bob19obo2bo2bo20bobo$2bo2b3o18b2o3bo22b5o3bo16bobo$3b2o2bo13b o5bo3bo3b3o2b3o2b3o2bo3bo4b4o17bo$3o2b3o13b2o2b2o7b2o3b2o3b2o3b3obo2bo bo$o2bobob2o5b2o6bo2b2o3b3o2b3o2b3o2b3o2b2o4bobo2b2o$3bo2b3o3bob2o3bob 2o2bo3bo23bobo2bobobo$4bo3bo3bo4bo2b2obobo4bob22ob3o2bo$5b2o2b2obo5bob ob2ob2obob2o6bo2bo2bo2bo2bo3bo3b2obo$7b2o2bo5b2obo3bo2b2o4b3o16bobo2bo 2bo$7bo2bo7bo2b2o2bo3bob2o2bo15b2ob2o2b2o$8b2o8bo4b2o4b2obo$19b3o2bobo $21b2o2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 HEIGHT 600 WIDTH 700 GPS 3 AUTOSTART LOOP 5 ]]
Light speed oscillator 2

(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 73, y = 73, rule = B3/S23 61bo$59b3o$56bobo3b2o$54b3ob4o2bob2o$53bo7bob2obo$52bob5obo2bo2bo2bo$ 14b2o36b2o3bob2o2bobob3o$14b2o34b2o3bo8bobo$49bobob2obo8bo2b2o$14b4o3b 2o26bo2bobobo5bo3b3obo$14bo3bo2bo28bobo2b2o4bobo6bo$17bobobo29bo2b2o6b o5b2ob2o$17b3obobo22b2o6b3o9b2obobo$19bob2obo21bobo5b2o10bo2bobo$6b2ob 2o7bo5bo23bo2b2o14bob2o$6b2obo7b2ob5ob2o17bo2b5o13b2o$9bo16b2o17b3o4bo 7bob3o2bob2o$9bob2o2bo4bob3o5bo2bo2bo2bo2bo5bo2bo7b4o2bobobo$10bobob2o 3bo5b23obo9b3ob2o2bobo$11b3o4bo6bo25bo12bobobo$15bobo4bo3bo2b3o2b3o2b 3o2b5o2b2o3b3o3b2o2b2o$9b5obo6bo3b2o3b2o3b2o3b2o4bo4b2obob2o2bo2b2o$9b o3bobobo2b2o2b3o2b3o2b3o2b3o2b5o8bo4bo2bo$12bo2bobo6bo29bo2bo5b2o$13b 3obo4b2ob23o2bobo2bob3o$18b2o2bobo2bo2bo2bo2bo2bo2bo2bo2bob3obobo3bo$ 15b2obob3obo23bobobobobo2b2o$15b2obo2bo2b2o21b2obobobob2o$18bo5bo23bob obobo$18bobobobo23bo5bo$17b2obobob2o21b2o2bo2b2o$18bob3obo23bob3obo$ 18bo2bo2bo23bobobobo$17b2o5b2o21b2obobob2o$18bobobobo23bo5bo$18bobobob o23bo2bo2bo$17b2ob3ob2o21b2ob3ob2o$18bo2bo2bo23bobobobo$18bo5bo23bobob obo$17b2obobob2o21b2o5b2o$18bobobobo23bo2bo2bo$18bob3obo23bob3obo$17b 2o2bo2b2o21b2obobob2o$18bo5bo23bobobobo$18bobobobo23bo5bo$15b2obobobob 2o21b2o2bo2bob2o$12b2o2bobobobobo23bob3obob2o$12bo3bobob3obo2bo2bo2bo 2bo2bo2bo2bo2bobo2b2o$13b3obo2bobo2b23ob2o4bob3o$8b2o5bo2bo29bo6bobo2b o$7bo2bo4bo8b5o2b3o2b3o2b3o2b3o2b2o2bobobo3bo$7b2o2bo2b2obob2o4bo4b2o 3b2o3b2o3b2o3bo6bob5o$5b2o2b2o3b3o3b2o2b5o2b3o2b3o2b3o2bo3bo4bobo$4bob obo12bo25bo6bo4b3o$3bobo2b2ob3o9bob23o5bo3b2obobo$3bobobo2b4o7bo2bo5bo 2bo2bo2bo2bo5b3obo4bo2b2obo$2b2obo2b3obo7bo4b3o17b2o16bo$5b2o13b5o2bo 17b2ob5ob2o7bob2o$2b2obo14b2o2bo23bo5bo7b2ob2o$bobo2bo10b2o5bobo21bob 2obo$bobob2o9b3o6b2o22bobob3o$2ob2o5bo6b2o2bo29bobobo$2bo6bobo4b2o2bob o28bo2bo3bo$2bob3o3bo5bobobo2bo26b2o3b4o$3b2o2bo8bob2obobo$6bobo8bo3b 2o34b2o$3b3obobo2b2obo3b2o36b2o$3bo2bo2bo2bob5obo$6bob2obo7bo$5b2obo2b 4ob3o$9b2o3bobo$11b3o$11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 HEIGHT 600 WIDTH 700 GPS 3 AUTOSTART LOOP 5 ]]
Light speed oscillator 3

(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here

See also

References

  1. ↑ Alan Hensel's lifep.zip pattern collection.
  2. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.

External links

Retrieved from "https://conwaylife.com/w/index.php?title=Electric_fence&oldid=105793"