Octagon 2

From LifeWiki
Jump to navigation Jump to search
Octagon 2
3b2o3b$2bo2bo2b$bo4bob$o6bo$o6bo$bo4bob$2bo2bo2b$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 600 THUMBSIZE 3 ZOOM 42 GPS 2 ]]
Pattern type Oscillator
Number of cells 16
Bounding box 8 × 8
Frequency class 29.3
Period 5
Mod 5
Heat 16
Volatility 0.80
Strict volatility 0.80
Discovered by Arthur Taber
Sol Goodman
Year of discovery 1971

Octagon 2 is the first known period-5 oscillator, discovered in 1971 independently by Sol Goodman and Arthur Taber;[1] the name is due to the latter. Its discovery was first reported in Lifeline Volume 1.[2]

A 5-glider synthesis for this oscillator was found and submitted to Catagolue by Carson Cheng[3] in May 2022.[4]

Phase shifting

An octagon 2 can be used as a block catalyst on each side to skip a phase.

x = 44, y = 44, rule = B3/S23 17b2o$17b2o3$17b3o$17bobo$16bo2bo$10b2o5b2o$10b2o2$23b3o9b2o$15b2o5bo 2bo2b2o5b2o$15b2o5bob2o2b2o$17b2o4bo$11b2o4b2o$11b2o18b2o$31b2o4bo$29b 2o5bob2o2b2o$10b3o7bo2bo5b2o5bo2bo2b2o$10bobo7bo2bo13b3o$10bo2bo4b2ob 2ob2o$11b2o7bo2bo$20bo2bo7b2o$18b2ob2ob2o4bo2bo$4b3o13bo2bo7bobo$2o2bo 2bo5b2o5bo2bo7b3o$2o2b2obo5b2o$6bo4b2o$11b2o18b2o$25b2o4b2o$20bo4b2o$ 14b2o2b2obo5b2o$7b2o5b2o2bo2bo5b2o$7b2o9b3o2$32b2o$25b2o5b2o$24bo2bo$ 24bobo$24b3o3$25b2o$25b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 12 ZOOM 10 HEIGHT 600 ]]
Four p24 shuttles hassling an octagon 2. Found by Nicolay Beluchenko in March 2009[5]
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 46, y = 46, rule = B3/S23 13b2o$13b2o4$27b2o$27b2o$17bo$16bobo5bo5b2o$19bo3b2o5b2o$13bo2bo3bo2bo $12b2o3bo$12bo5bobo12b2o$19bo14b2o8b2o$8b2o34b2o$8b2o$35bobo$5b2o27bo 3bo$5b2o26bo3bo$21bo2bo7bo3bo$21bo2bo8bobo$8b2o9b2ob2ob2o$9b2o10bo2bo$ 21bo2bo10b2o$19b2ob2ob2o9b2o$10bobo8bo2bo$9bo3bo7bo2bo$8bo3bo26b2o$7bo 3bo27b2o$8bobo$36b2o$2o34b2o$2o8b2o14bo$11b2o12bobo5bo$28bo3b2o$22bo2b o3bo2bo$14b2o5b2o3bo$14b2o5bo5bobo$28bo$17b2o$17b2o4$31b2o$31b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 32 ZOOM 10 HEIGHT 600 ]]
Four Merzenich's p64s hassling an octagon 2
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 30, y = 30, rule = B3/S23 8bob2o4b2obo$8b2o2bo2bo2b2o$6b2o3bo4bo3b2o$5bo3b2ob4ob2o3bo$6b3obobo2bobob3o$ 8bobob4obobo6bo$10bo2b2o2bo7bobo$3bo7b2o2b2o8bobo$2bobo19b2o2b2o$2bobo21bobo$ 2o2b2o17b4o2bo$bobo9bo2bo5bo4bobo$o2b4o6bo2bo5bob3obo$obo4bo3b2ob2ob2o4b2obo$ bob3obo5bo2bo6b2obo$3bob2o6bo2bo5bob3obo$3bob2o4b2ob2ob2o3bo4bobo$bob3obo5bo 2bo6b4o2bo$obo4bo5bo2bo9bobo$o2b4o17b2o2b2o$bobo21bobo$2o2b2o19bobo$2bobo8b2o 2b2o7bo$2bobo7bo2b2o2bo$3bo6bobob4obobo$8b3obobo2bobob3o$7bo3b2ob4ob2o3bo$8b 2o3bo4bo3b2o$10b2o2bo2bo2b2o$10bob2o4b2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 32 ZOOM 14 HEIGHT 600 ]]
Four 50P9s hassling an octagon 2
(click above to open LifeViewer)
Catagoluehere
x = 38, y = 38, rule = B3/S23 7bobo16bobo$7b2obo14bob2o$10bo2b2o6b2o2bo$7b2obobobo6bobobob2o$7bo2bo 2bo8bo2bo2bo$9bo16bo$11bo12bo$9b3o5b2o5b3o6b2ob2o$16bo2bo14bobo$2ob2o 8b2obo2bob2o7bobo4bo$bobo9b2obo2bob2o7bo2b4o$o4bobo8bo2bo10b2o$b4o2bo 9b2o15bo$6b2o19b2o4bobo$3bo23b2o5b2o$2bobo4b2o6bo2bo$2b2o5b2o6bo2bo5b 4o$15b2ob2ob2o2bo4bo$8b4o5bo2bo4bo4bo$7bo4bo4bo2bo5b4o$7bo4bo2b2ob2ob 2o$8b4o5bo2bo6b2o5b2o$17bo2bo6b2o4bobo$2b2o5b2o23bo$2bobo4b2o19b2o$3bo 15b2o9bo2b4o$6b2o10bo2bo8bobo4bo$b4o2bo7b2obo2bob2o9bobo$o4bobo7b2obo 2bob2o8b2ob2o$bobo14bo2bo$2ob2o6b3o5b2o5b3o$13bo12bo$11bo16bo$9bo2bo2b o8bo2bo2bo$9b2obobobo6bobobob2o$12bo2b2o6b2o2bo$9b2obo14bob2o$9bobo16b obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 32 ZOOM 12 HEIGHT 600 ]]
Four 60P7s hassling an octagon 2 into p14
(click above to open LifeViewer)
Catagoluehere


Occurrence

See also: List of common oscillators

Octagon 2 is about the twenty-sixth most common naturally-occurring oscillator in Achim Flammenkamp's census, being about as common as unix.[6] On Catagolue, it is the most common period 5 oscillator, being more common than fumarole.[7]

In even 8-fold symmetry (D8_4), it is the nineteenth most common object and the fifth most common oscillator, appearing in 1 in 80 soups.

In other rules

In B3-a/S23, this pattern skips a phase and becomes a period 4 pattern.

See also

References

  1. Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. Robert Wainwright (March 1971). Lifeline, vol 1, page 5.
  3. Carson Cheng (July 15, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  4. shinjuku (#2425153643) (May 6, 2022). Job triggered by Adam P. Goucher at GitLab Catagolue project. Retrieved on May 13, 2022.
  5. New Oscillators at Game of Life News. Posted by Heinrich Koenig‏‎ on April 14, 2009.
  6. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  7. Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.

External links