p124 lumps of muck hassler

p124 lumps of muck hassler
x = 35, y = 38, rule = B3/S23 20bobo$18b4obo$17bo5b3o$18b5o3bo$20bo3bobo$23b2obobo$25bob2o$20b3o2bo $24b2o$26b2o$26bobo$27bo3$5b2o$5b2o26b2o$33b2o3$11b3o$9b2o2bo$2o7bo2b 2o$2o7b3o16b2o$28b2o$16bo$17b2o$7bo$6bobo$7b2o$9b2o$9bobob2o$6b2obobo bo$6bobo$8bobobobo$8bo3bob3o$9b3o5bo$11bob4o$12bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 7 ZOOM 10 LOOP 124 HEIGHT 450 ]]
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Pattern type	Oscillator
Number of cells	105
Bounding box	35 × 38
Period	124 (mod: 62)
Heat	77
Volatility	0.84 | 0.76
Kinetic symmetry	n.e
Discovered by	Dean Hickerson
Year of discovery	1994
Rules Outer-totalistic rules B3/S23 – B3/S238 # of rules 21 = 2 Isotropic rules B3/S23 – B3/S234c6i7e8
Glider synthesis Fewest gliders (canonical) 118† Catagolue-generated RLE (canonical) synthesis Fewest gliders (cheapest variant) 62† Catagolue-generated RLE (cheapest variant) synthesis †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext p124lumpsofmuckhassler.cells RLE p124lumpsofmuckhassler.rle
Identifiers apgcode (canonical) xp124_y7gx33y2o8zy0oox1612y4321z0ca22iaa4y1goy9g88br88gz8k80uuuy04670cosy8tv1w1hz0o801598gyg1fvx121zw11dd11yh255lm453zyao4cy44o68x11zy911y2cc apgcode (cheapest variant) xp124_yi33z066y366y0ca4y633y533y333zo48gy1g84oy5399ay9sik8y18kisz1j1y31j1ymgpgy3gpgz7952y12597ym3421y11243z0ooy3ooy5ooy64a6y0ccy3cczyooo

p124 lumps of muck hassler is a period-124 oscillator discovered by Dean Hickerson and Bill Gosper in 1994. 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. The stabilization using two blocks and a boat is the smallest in terms of population, as shown in the infobox.

The second stage requires a quick suppression of the byproduct spark, which appeared to be difficult. 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. On September 25, 2021, GUYTU6J found a stabilization using Merzenich's p31, reducing the population to 132 but increasing the bounding box.

On June 15, 2024, the synthesis cost of the Merzenich's p31-supported version was lowered to 62 gliders. On November 16, 2024, KtT found a 130-glider synthesis of the blocked p4-3 version, which Chris857 lowered to 118 gliders the next day.

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

On Jan 17, 2025, Period1GliderGun and iNoMed both found reductions to the oscillator, culminating in a 105-cell version.

Gallery

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 Merzenich’s p31s (click above to open LifeViewer) Catagolue: here

x = 39, y = 38, rule = B3/S23 20bo$14b2o3bobo3b2o$13bobo4bo4bobo$13bo13bo$10b2obo13bob2o$10b2obobob 7obobob2o$13bobo9bobo$13bobo9bobo$14bo3bobobo3bo$32bo$32bobo$31bobo$33b o$3bo$3b3o$6bo30b2o$5b2o30b2o3$13b3o$11b2o2bo$2o9bo2b2o16b2o$2o9b3o18b o$17bo15b3o$16bobo16bo$5bo12b2o$5bobo$4bobo$6bo$12bo11bo$11bobo3b3o3b obo$11bob4o3b4obo$8b2obo13bob2o$8b2ob2o2b2o3b2o2b2ob2o$11bo13bo$11bob o4bo4bobo$12b2o3bobo3b2o$18bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 AUTOSTART ZOOM 8 GPS 15 ]]

p124 LOM hassler with Blocked p4-3s. (click above to open LifeViewer) Catagolue: here

See also

• Lumps of muck hasslers
• Solifuge

External links

• p124 lumps of muck hassler at Adam P. Goucher's Catagolue