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 7 ZOOM 10 LOOP 124 HEIGHT 450 ]]
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.


P124 LoM anim.gif
x = 52, y = 35, rule = B3/S23 22b2o$22b2o4$29b2o9b2o7b2o$b2o7b2o5bo11b2o9b2o7b2o$b2o7b2o4bobo$16b2o2$22b3o$ 22bo2bo14bo9bo$bo9bo27bobo7bobo$obo7bobo10b3o13bo2bo5bo2bo$o2bo5bo2bo26b3o7b 3o$3o7b3o27bo9bo$bo9bo2$40bo9bo$bo9bo27b3o7b3o$3o7b3o26bo2bo5bo2bo$o2bo5bo2bo 26bobo7bobo$obo7bobo27bo9bo$bo9bo3$34b2o$33bobo4b2o7b2o$b2o7b2o9b2o11bo5b2o7b 2o$b2o7b2o9b2o4$28b2o$28b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 AUTOSTART ZOOM 8 GPS 15 ]]
p124 Lom hassler with Merzenith’s p31s
(click above to open LifeViewer)

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