Octagon 2

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Octagon 2
3b2o3b$2bo2bo2b$bo4bob$o6bo$o6bo$bo4bob$2bo2bo2b$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 2 THUMBSIZE 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 was 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]

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 LOOP 24 ZOOM 4 ]]
Four p24 shuttles hassling an octagon 2
Found by Nicolay Beluchenko in March 2009[3]
(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 LOOP 64 ZOOM 4 ]]
Four Merzenich's p64s hassling an octagon 2
(click above to open LifeViewer)
RLE: here Plaintext: here

Commonness

Octagon 2 is about the twenty-sixth most common naturally-occurring oscillator in Achim Flammenkamp's census, being about as common as unix.[4] On Catagolue, it is the most common period 5 oscillator, being more common than fumarole.[5]

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.

Glider synthesis

A 5-glider synthesis for this oscillator was found and submitted to Catagolue by an unknown user in May 2022.[6]

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. Heinrich Koenig‏‎ (April 14, 2009). "New Oscillators". Game of Life News. Retrieved on October 6, 2021.
  4. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  5. Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.
  6. Adam P. Goucher (May 6, 2022). "shinjuku (#2425153643)". GitLab. Retrieved on May 13, 2022.

External links

  • 16P5.1 at Heinrich Koenig's Game of Life Object Catalogs