OCA:LeapLife

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Revision as of 12:23, 2 September 2023 by Haycat2009 (talk | contribs) (Let me rephrase myself... The point is that there are only 2^102 isotropic cellular automata to be devised. Nobody can create a new one! If so, can I claim that I created B3ai4/S23 and B35/S23? No!)
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LeapLife
Rulestring 23-q/2n3
B2n3/S23-q
Character Chaotic

LeapLife is an isotropic non-totalistic cellular automaton devised by Hunting in January, 2020. It differs from Conway's Game of Life by two transitions, much like tlife, but is much more stable.

LeapLife ranked eighth in OCA Discovery of the Year 2020. LeapLife billiard tables ranked last in OCA Discovery of the Year 2021. LeapLife is also the third most-searched non-totalistic rule on Catagolue, after Rule X3VI and Snowflakes.

x = 16, y = 16, rule = B2n3/S23-q 2o2b4o3bo2bo$ob2o2bobo2bo2b2o$o2bo2bobo2b2o$2b2o2b2obob2o2bo$bobo2bo2b 2obo2bo$2obo2bo6b3o$2bob2o4b2o3bo$2o2b9obo$3b4o4b2ob2o$b2o2bo7b3o$bo2b o3b2obob3o$o2bo2b4ob4o$3b3obob3o$2b3o2bobobo2bo$3bob2o4bo2bo$b4ob4obob 3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 10 GPS 8 AUTOSTART T 0 PAUSE 2 T 161 PAUSE 1 LOOP 162 ]]
After 121 ticks, a 16 × 16 random soup[1] settles into a p6 traffic light oscillator, an escaping glider, and an escaping lepa
(click above to open LifeViewer)

Patterns

Still lives

Because LeapLife added one birth transition and removed one survival transition from Life, all still lives in LeapLife are still lives in Conway's Game of Life, but the reverse is not true. For example, the snake with feather fails in LeapLife.

All still lives up to 12 bits have occurred naturally. The last of them to occur, trans-very long fuse with two tails, appeared in November 2022, in a soup submitted by FWKnightship. Notably, eater 1 and aircraft carrier are significantly more common than they're in Life.

All still lives up to 11 bits have known syntheses. The following (probably outdated) table displays statistics about the costs for strict still lives up to 11 cells. Green indicates a cost lower than one glider per bit; yellow indicates a cost of equal to or more than one glider per bit. Max costs are linked to the corresponding still life.

Live cells Count Max cost
4 2 3
5 1 2
6 5 4
7 4 4
8 9 5
9 10 12
10 25 11
11 44 19

Oscillators

A variety of oscillators are present in LeapLife, mostly discovered with apgsearch.

Of all alien oscillators, quite a few of them are especially common, shown below.

x = 36, y = 20, rule = B2n3/S23-q b3o26b2o$o3bo10b2o2b2o9bobo$o3bo9bo2b2o2bo10bo$o3bo10b2o2b2o10bo2bo$b 3o29b2o10$18b2o$2o16bobo$2o16b3o8bobobobo$2bo26b3ob3o$3b2o10b2o12bobob obo$3b2o10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 HEIGHT 450 WIDTH 650 GPS 2 AUTOSTART ]]
From left to right: Row 1: The traffic-light p6, the interchange p6, and the "integral" p4. Row 2: The "two-blocks" p3, the "loaf-block" p4, and an unnamed p10
(click above to open LifeViewer)

Most oscillators known before April 2020 can be found in a GitHub repository.

Spaceships

The gliders and xWSSes still work in LeapLife, and there's an additional (2,1)c/8 knightship called the "lepa".

As of October 2022, all spaceships discovered in LeapLife are elementary. The idea of building a Demonoid in LeapLife was brought up several times, but the spaceship itself is not yet completed. The currently known velocities are c/2, c/3, c/4, c/5, 2c/5, c/6, 2c/7, c/12 orthogonal, c/4, c/5, c/6[2] diagonal, and (2,1)c/6,[3] (2,1)c/8 knightwise. A table of completed spaceship searches can be found here.

x = 163, y = 129, rule = B2n3/S23-q b3o10bo18bo27bo10b2ob2o12b2o4b2o12b2o2b2o$o2bo8b5o12b3ob2o4b3o9b3o7bo 8b2obobob2o11bo4bo14bo2bo$3bo7b2o3b2o10bo5b2o5bo9bo8bobo5bobo7bobo7bob o4bobo9bobo4bobo$3bo24bo2bo10bo7bo16b2o2bobobobo2b2o6bo8bo7b2o10b2o$ob o8bo2bo2bo8bo5bo9bo7bo16b2o3bo3bo3b2o5b2o8b2o6b2ob2o4b2ob2o10b2o$11bo 5bo8bob2o3bo5bo5b3o5bo4b3o7bob2o5b2obo5b2o10b2o5bo3bo4bo3bo9bobo$9bo3b obo3bo6bo6bo6b3o7b3o4bo12b3o3b3o6b2o12b2o8bo4bo15bo$7b2obo2bobo2bob2o 7bo11bo3bobo3bo9bo10bo3bo30b3o4b3o$8bo3bo3bo3bo7b2o2b2o7bo2bo3bo2bo5bo 3b2o5bo3bo3bo3bo4bo2bo8bo2bo$6bo3bo7bo3bo4bo6bo6bo3bobo3bo4b2o5b2o3bo 2b2o3b2o2bo5bobo8bobo$12bo3bo11b2obo12bo3bo11bo2b2o2b2obo7bob2o$7bo4bo 3bo4bo10b2o9b2o3b2o13bo4bobo2bobo2bobo5bobo8bobo$8bo4bobo4bo21bobo3bob o12b2o3bob4ob4obo6bo10bo36bobo$9b3obobob3o23b3ob3o12b3o3bobob2ob2obobo 5bobo8bobo35bo2bo$8b2o9b2o22b2o3b2o22bo3bo8b2ob2o6b2ob2o30b4o4bo$8bo 11bo39bobo9b2ob2o54b3o3bo2bo$9bo9bo39bo10bo7bo7bobo8bobo27b3o$59b2o9bo bo3bobo7b3o8b3o30b2o7b2o$59bo7b2o11b2o3bo3bo6bo3bo26b2o3bo5bo$59bo7bo 3bo5bo3bo4b3o8b3o28bo4bo3b2o$60bo26bo10bo33bobo2b2o$87bo10bo26bo2bo6bo b2o$57b2o10b3o5b3o7bo3b4o3bo26bobo7bo$58bo8b3o9b3o42bo3bo7bo$57b3o28bo 8bo28bob2obob2obo14bo$56b2ob2o10bob3obo10b2o6b2o20b5obobo3bo3bobo12b4o $71bo5bo9bo10bo20bo4bo2b2o25bo$68b4o5b4o6bo10bo20bob2o7b2o15bo3bob2o$ 69bo2bo3bo2bo42bobob2obo15b2o4bo$118b2o2bo20bo4b2o2bo$68b3o7b3o41b4obo 15bob2ob2ob2o$69b2o7b2o37b2ob2o3bobo14bo2b2o3b2o$68b2obo5bob2o29bo7bob 2o5bo15bo$69b3o5b3o30b2o6bo4bob3o11bo4b3ob3o7bobo$69b2o7b2o34bo3b4obo 3bo8bob2ob2o5b3o7bo3bo$68bobo7bobo28b2o3bo6bo14b2o3b3o3bobo12bo$68bob 2o5b2obo28bo4bo22b2obob2o16bobo$68bo11bo25b2o3b2o24b2o2bo2bo2bo$69bo2b o3bo2bo26bo9b3o16bo6b3obo$73bobo29bobo24bo6b3o$73bobo30b2o7bo17b2o7bo 3bo$73bobo27bo2bo8bo3bo11b4obob2o2bo3bo$70b2obobob2o22b2obobo10bob2o9b 2o4bo2bo3b3o$69bo3bobo3bo19bo4b2o10b2o11b3o4bo3b2o$68b2ob2o3b2ob2o17bo 3b3o23bo2b4o4b2o$70bo7bo24bo8b2obo13b3ob3o$101b3o6b3ob2o17bo5bo$68bo 11bo24bo3bo3bo11bo7bobo3bo$67bobo9bobo16bo2bo6b3o14bo3b2o8bo$67bo13bo 16b4obo2b3o2bo12b2o3b2o3b2o2bo$69b2o3bo3b2o18b2o2bo3bobobo7bobo6bo6b2o $72bobobo26b2obo3bo7bobob2o5b2o$68bob4ob4obo22bo13b3o5b2o4bo$67b2o11b 2o20b2o5bo19b2o$68bo3bo3bo3bo21b3o3bo6b3o9b2obo$68bob4ob4obo47bo$69b2o 2bobo2b2o33bo3b2o$73bobo35bo4b3o$72b2ob2o34b4obo9bo2bo$73bobo36b3o4bo 6bobo$71bobobobo30b2o8b5o5bo$70bo2bobo2bo42b2o2bobo$70bo2bobo2bo28bobo 10bo4bo$71b3ob3o29bo5bo4b3obobo$70bobo3bobo26b3o4b3o4bo3bo$71bobobobo 27b2o11bo2b2o$74bo30b2o7bobo$72b5o28bobo7bo2bo2bo$106b3o$107bobo8b3o$ 108b2o7bo$109bo5b2o$104bobo$98bo5bob2o3b3obo$97bobo4bobo$96b2obobo3b2o 5b2o$96b7obo$96b2o3b3o$92b4o4bobobo$93bo5bo2bo$91bobob3o5b3o$91b2o7bo 3bo$88bob3o7bo$87bobo9bo$86b2obo7bo2b2o$83bob2ob3o$89bob2o5bo2bo$82bo 8b2o4bobo$85bo3bobobo$83b3o3b2o3bo2bo$85bo5bo$85b2ob2o5b2o$85b2o5bobo$ 82bo7bo2b2o$76b5o5bo4bob2o$75bo2bo2bobob3o2bo$78b3o2bo$73bo3bo3bo3bo$ 73bo3bo2b4o$79b2ob2o$73bo6bob2o$72b5o4bo$71bobo4bo2b3obo$69b3obob2o4b 3o$67bo5bo4bo2b3o$66bo9b2o$65bo3bo3bo3bo$65b3o8bo$67bo8bo$63b2o9b2o$ 62bob3o2b2o3b2o$61bo3bo3bo2bo$66bo$59b3o5bo2b2obo$58b4o7b2obo$57bo10b 4o$57bo3b3o5bo$59bo2bobo$52b2o3bo2bo4b2o$50bo3bobobobo4bo$50bo3bob3o6b o$50bo8b5o$52b5ob2o2bo$52b2o5bo$53bo4b2o$54bobobo$56b2o$55b2ob2o$55b2o b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 4 WIDTH 1000 HEIGHT 560 ]]
Smallest example of all known simplified velocities. (2, 1)c/6 spaceship not shown for its size
(click above to open LifeViewer)

Very few spaceships in LeapLife have syntheses. Only the lepa, xWSSes and their combinations, and the c/12 orthogonal[4] have been synthesised.

Linear growth patterns

Guns

Very limited gun technologies are known in LeapLife. 2-engine p22-based and p24-based guns are discovered early on. p19-based guns are first constructed by FWKnightship in March 2021 using an XWSS salvo as an over-unity reaction.[5][6] It was quickly superseded by a much smaller design by AbhpzTa, using a sparker-supported 2G-to-3G reaction.[7]

Guns of period p19N, p22N, and p24N for all sufficiently large N are known as well.

x = 67, y = 34, rule = B2n3/S23-q 11bo$10b3o$9bo$9bo4bo$10b2o3bo$11bo3bo$12bo4bo40b2o$14b2o41b6o$16bob2o 37b2o2b3o$16bo3bo34bo5bob2o$54bo4bo$17bo4bo29bobo5bobo$18b2o2b2o14bo2b o5bo7bo4bo$19bo2bo14b3o8bob2obo5bo$20b2o14b4o7b2o2b3o2b2o$34bo11bo5b6o $12b3o17b2o7b4o10b2o$12b2o18bo8b3o$11bobobo17bo5bo2bo$15bo2bobo33bo$9b 2o2bo5b2o31bobo$8bo3bobo4bo33b2o$8b3o$6b4o$5bob2o15bo$5bobo17b2o33bo$ 3bo20b2o32bobo$b2o3bo52b2o$b3obo$bo4bo$3b2o24bobo$30b2o34bo$30bo33bobo $65b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 ZOOM 8 HEIGHT 400 WIDTH 650 GPS 16 KILLGLIDERS ]]
p22 and p24 glider guns
(click above to open LifeViewer)

Puffers

Puffers in LeapLife are discovered much later than guns, and very few puffers are known as of now.

The first puffer in LeapLife is the c/2 line puffer discovered by FWKnightship; It can be perturbed into rakes and others.

Some puffers of other velocities are known, including a 2c/5 orthogonal blinker puffer and a c/4 diagonal tubstretcher.

Unstable objects and evolutionary sequences

Methuselahs

Due to the nature of the rule, methuselahs in LeapLife are usually much shorter-lived than methuselahs in Life. The first few methuselahs in LeapLife were discovered by enumerating small patterns; The later methuselahs were found by soup-searching. The longest-lived methuselah currently known is one shown below, lasting 944 generations, found by User:Pzq_Alex.

x = 16, y = 16, rule = B2n3/S23-q o5b2o4bo2bo$o2b4obo2b3obo$b5o2bo4b3o$3bobo4bob2o$bo2b2obo4bo$obo3b5o4b o$3b4ob3o2bobo$2ob2o3bo2b5o$bobo4bo6bo$3o2bobo5bobo$o4bo2b3obobo$2o2b 4o$2ob3o2bobo3bo$2o2b5o3bob2o$2o2bo2b2obobo2bo$o2b3ob2ob2o2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ]]
944M.
(click above to open LifeViewer)

The longest-lived known diehard is the 710-tick diehard shown below:

x = 16, y = 16, rule = B2n3/S23-q 2bo5bo3bobo$3b2obob2o3b2o$2bo2b2o2b2o$3b2ob3o4bobo$5b2o2bo2b3o$5bob3o 2bo$bo2bobo3bob3o$o3b3o3bo2b2o$8b2o4bo$3b3o3b4obo$2obo4bobo2bobo$6o7b 3o$o7bob2o$3o3bobobo2bobo$3bo5b2obobo$bo5bobo2bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ]]
710-tick diehard
(click above to open LifeViewer)

The following is a table of long-lived methuselahs that were record-breaking at the time it was discovered.

Abbreviations: L = lifespan, BB = bounding box, I = initial population, F = final population
L Pattern BB MCPS I F L/I F/I F/L L/MCPS
944 944M 16 × 16 124 120 32 7.9 0.3 0.034 7.6
885 885M 16 × 16 105 96 53 9.2 0.6 0.06 8.4
822 822M 16 × 16 97 90 19 9.1 0.2 0.023 8.5
776 776M 16 × 16 105 99 52 7.8 0.5 0.067 7.4
750 750M 16 × 16 106 101 33 7.4 0.3 0.044 7.1
650 650M 5 × 7 14 13 22 50 1.7 0.034 46.4
395 Procrastinator relative 6 × 6 18 16 11 24.7 0.7 0.028 21.9
248 Procrastinator relative 3 × 5 9 8 11 31 1.4 0.044 27.6
247 Procrastinator relative 4 × 4 9 8 11 30.9 1.4 0.045 27.4
246 Procrastinator variant 4 × 4 7 7 11 35.1 1.6 0.045 35.1
235 Nope 4 × 4 9 9 10 26.1 1.1 0.043 26.1

Common evolutionary sequences

A few common evolutionary sequences in Life are common in LeapLife as well, like lumps of muck, bakery and a variant of pi-heptomino. There are also some other sequences known and investigated for a while that are not as common in Life, like the "butterfly sequence" (different from the butterfly sequence in Life).

A census of 8 × 8 soups in LeapLife has been done, similar to the method used in List of common evolutionary sequences[citation needed]. The result is shown below. Note that the predecessor shown here is not necessarily the bottleneck, but instead the last generation before it reaches 12 cells or more.

Sequence Pattern Lifespan Occurrences Rel. freq.
Butterfly/Bookend
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2b3o$bo2bo$o3bo$o$3o!
 33 665 1.000
Pi variant/House
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2ob2o$obobo$2bo$b3o$2bo!
 57 329 0.495
Lumps of muck
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2bo$b2o$2o2bo$2bo2b2o$4b2o$4bo!
 19 229 0.344
Pre-pulsar (Pi variant descendant)
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] bo$bo$obo$bo$bo2$bo$bo$obo$bo$bo!
 14 65 0.098
Bakery
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] b2o$o2bo$o3bo$bo2bo$2b3o!
 41 57 0.086
Traffic light colliding with a block
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2o4bo$2o3bobo$4bo3bo$5bobo$6bo!
 62 47 0.071
Unnamed region
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 3o$o$o2bo$bob2o$2b2o$2bo!
 31 32 0.048
Unnamed region
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2b3o$bobobo$2o3b2o!
 46 29 0.044
Procrastinator
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2b3o$bo2bo$4bo$o2bo$2b2o$b2o!
 231 25 0.038
Unnamed region
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 3o$2o$o2bo$3bo$4bo$2b3o!
 76 25 0.038
Unnamed region
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] b2o$bobo$o2bo$bo$bo3bo$3bobo$4bo!
 72 23 0.035
Pi + Traffic light
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 6bo$2bo3b2o$2o5b2o$2bo3b2o$6bo!
 81 21 0.032
Long bun
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 5b2o$b2obobo$o3bo$b3o$2bo!
 45 20 0.030
Unnamed region
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] bo$4o$o3bo$4bo$2b3o!
 29 18 0.027
Honeyfarm
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2bo$bobo$o3bo$o3bo$o3bo$bobo$2bo!
 14 17 0.026
Two stairstep hexominoes
x=0, y = 0, rule = B2n3/S23-q #C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 7bo$7b2o$8b2o$9bo3$o$2o$b2o$2bo!
 34 17 0.026

Catalyses and other reactions

The simplest catalysis that exists in LeapLife and not Life is a block catalysis from the corner, due to the B2n transition. There are also some other catalysts, mostly discovered with a LeapLife hack of dr by wwei23.

x = 68, y = 34, rule = B2n3/S23-q 25bo$25bo16bo$17b2o6bo16bobo$4bo12bo2b2o4b3o13b2o$3b2o13b3obo15bo9b2o$ 3bo18bo15bo8bo2bo$18b4ob2o13bo6bo2bobo$2o16bo3bo2bo19b2obob2o$2o17bo2b ob2o20bobo$20bobobo19bobobob2o$21b2obobo17b2o2bo2bo$25b2o21b2o3$59bo$ 38b4o4bo8b2obobo$31bo6b4o3bobo7b2obobo2b2o$2o20b2o5b3o13bobo10bobobo2b o$bo20b2o4bo15b2ob2o6b2obobo2b3o$7b2ob2o15bobo11b2o3bo4b2obobobobo$b2o 2bo2bob2o15bobo10bo2b2obo4b2obobobo2b7o$b2o2b2obo19bo10bobobobo8bobobo 8bo$8bo10b4o16bobobo10bobo2b6o$b5obo10bo3bo15b2obobo7b2obobo7bo$o4bobo bo12bo18bob2o5bobobo2b7o$obo5b2o8bo2bo5b2o12bo2bo5bobobo$b2o22bo2bo13b o4b2obobo2b6ob2o$25b3o11b3o6bobobo7bob2o$39bo7bo2bob8o$25b2obo15bo2b2o bo$25bob2o15b3o3b8o$47b3o8bo$46bo3b2obobobo$46b2o2bob2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 HEIGHT 600 ]]
Some examples of catalysis in LeapLife.
(click above to open LifeViewer)

Variants

HighLeapLife (B2n36/S23-q)

HighLeapLife
Rulestring 23-q/2n36
B2n36/S23-q
Character Chaotic

HighLeapLife has a common p96 RRO:

x = 7, y = 5, rule = B2n36/S23-q b2ob3o$2obo2bo$2b2o2bo$3bobo$3b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 16 LOOP 96 ]]
The RRO
(click above to open LifeViewer)

There is also a p72 oscillator, which was discovered in D4_+1.

x = 12, y = 10, rule = B2n36/S23-q b2o6b2o$ob2o4b2obo$b2o6b2o5$b2o6b2o$ob2o4b2obo$b2o6b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 16 LOOP 72 ]]
The p72
(click above to open LifeViewer)

DryLeapLife (B2n37/S23-q)

DryLeapLife
Rulestring 23-q/2n37
B2n37/S23-q
Character Chaotic

DryleapLife is similar to LeapLife, with a natural c/7o and a gliderless c/4d, the latter of which was found in D8_1.

x = 18, y = 8, rule = B2n37/S23-q 10b5o$b3o7b2ob2o$o3bo6bo4bo$o3bo11b2o$5o12bo$16b2o$15b3o$17bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 16 LOOP 28 ]]
c/7o and c/4d
(click above to open LifeViewer)

LispLife (B2n3/S23-q4e8)

LispLife
Rulestring 23-q4e8/2n3
B2n3/S23-q4e8
Character Chaotic

LispLife is a more active variant of LeapLife. A natural p122 oscillator has been discovered.

x = 9, y = 9, rule = B2n3/S23-q4e8 3o$3o$3o4$6b3o$6b3o$6b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 8 GPS 30 LOOP 122 ]]
The p122
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tDryLeapLife (B2n37/S2-i3-q4q)

tDryLeapLife
Rulestring 2-i3-q4q/2n37
B2n37/S2-i3-q4q
Character Chaotic

tDryLeapLife has the glider, the c/5 orthogonal T, and an unnamed 3c/27o.

x = 19, y = 5, rule = B2n37/S2-i3-q4q 16bo$3o4bo7b3o$o5b3o7bo$bo12bobobo$14b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 8 GPS 30 LOOP 100 ]]
Common spaceships in tDryLeapLife
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References

  1. ↑ /hashsoup/C1/k_pZ8qDBWr6PSX746/b2n3s23-q
  2. ↑ shuich01 (April 25, 2023). Re: LeapLife (B2n3/S23-q) (discussion thread) at the ConwayLife.com forums
  3. ↑ shuich01 (April 15, 2023). Re: LeapLife (B2n3/S23-q) (discussion thread) at the ConwayLife.com forums
  4. ↑ FWKnightship (April 11, 2021). Re: LeapLife Glider Synthes^2 (discussion thread) at the ConwayLife.com forums
  5. ↑ FWKnightship (March 20, 2021). Re: LeapLife (B2n3/S23-q) (discussion thread) at the ConwayLife.com forums
  6. ↑ FWKnightship (March 27, 2021). Re: LeapLife (B2n3/S23-q) (discussion thread) at the ConwayLife.com forums
  7. ↑ AbhpzTa (March 27, 2021). Re: LeapLife (B2n3/S23-q) (discussion thread) at the ConwayLife.com forums

External links

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