p124 lumps of muck hassler

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p124 lumps of muck hassler
x = 39, y = 38, rule = B3/S23 20bo$14b2o3bobo3b2o$13bobo4bo4bobo$13bo13bo$10b2obo13bob2o$10b2obobob 7obobob2o$13bobo9bobo$13bobo9bobo$14bo3bobobo3bo$32bo$32bobo$31bobo$ 33bo$3bo$3b3o$6bo30b2o$5b2o30b2o3$13b3o$11b2o2bo$2o9bo2b2o16b2o$2o9b3o 18bo$17bo15b3o$16bobo16bo$5bo12b2o$5bobo$4bobo$6bo$12bo11bo$11bobo3b3o 3bobo$11bob4o3b4obo$8b2obo13bob2o$8b2ob2o2b2o3b2o2b2ob2o$11bo13bo$11bo bo4bo4bobo$12b2o3bobo3b2o$18bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 20 ZOOM 7 LOOP 124 ]]
Pattern type Oscillator
Number of cells 146
Bounding box 39×38
Period 124
Mod 62
Heat 78.71
Volatility 0.82
Strict volatility 0.65
Discovered by Dean Hickerson
Year of discovery 1994

P124 lumps of muck hassler is a period-124 oscillator discovered by Dean Hickerson and Bill Gosper in 1994.[1] It features a lumps of muck being hassled back and forth, involving two mechanisms.

  1. One half of a lumps of muck is removed and the remaining active region evolves into a dove in 39 generations.
  2. The dove evolves into the 3-tick descendant of stairstep hexomino in 23 generations, along with a large spark.

The first stage can be done in many ways, such as a middleweight emulator, a single eater 3 (by David Buckingham), or a regenerative loop catalyst.[2] The stabilization using a block, an eater 1 and a clock is the smallest in terms of population, as shown in the infobox.

The second stage requires a quick suppression of the byproduct spark, which appears to be hard. Bill Gosper's original solution is to use the period-4 fountain. In April, 2010, David Buckingham reduced the bounding box with two copies of blocked p4-3, as shown in the infobox.[3] On September 25, 2021, GUYTU6J found a stabilization using Merzenich's p31, reducing the population to 132 but increasing the bounding box.[4] This is currently the only variant with a known glider synthesis.[5]

Dean Hickerson also noted that arbitrarily large agar can be built using many copies of lumps of muck.

Image gallery

P124 LoM anim.gif

See also


  1. Dean Hickerson's oscillator stamp collection. Retrieved on April 22, 2020.
  2. 2718281828 (November 6, 2018). Re: The Hunting of the Elementary Conduits (discussion thread) at the ConwayLife.com forums
  3. A plethora of p4 hasslers at Game of Life News. Posted by Adam P. Goucher on January 3, 2011.
  4. 2718281828 (September 25, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  5. Adam P. Goucher. "Census". Catagolue. Retrieved on April 4, 2022.

External links