User:Melwin22/Castles/random patterns: Difference between revisions
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== Diehards == | == Diehards == | ||
Not counting [[User:Melwin22/Castles/infinite growth#Fuses and growing spaceship|fuses]], the longest-lasting object I found that leaves nothing behind is the pumpkin. It reaches a maximum population of 110 and dies after 596 generations. Almost any solid object with population above 100 turns into a proper castle, and exceptions like the pumpkin are very rare. | |||
{{EmbedViewer | {{EmbedViewer | ||
|rle = x = 6, y = 6, rule = B3678/S135678 | |rle = x = 6, y = 6, rule = B3678/S135678 | ||
Revision as of 19:33, 2 July 2026
Diehards, methuselahs and other stuff.
Diehards
Not counting fuses, the longest-lasting object I found that leaves nothing behind is the pumpkin. It reaches a maximum population of 110 and dies after 596 generations. Almost any solid object with population above 100 turns into a proper castle, and exceptions like the pumpkin are very rare.
| (click above to open LifeViewer) |
| L | Name | BB | MCPS | I | F | L/I | F/I | F/L | L/MCPS |
|---|---|---|---|---|---|---|---|---|---|
| 596 | Pumpkin | 6 × 6 | 26 | 26 | 0 | 22.9 | 0 | 0 | 22.9 |
Pentaselah
Five cells are enough to make something interesting happen. This tiny pattern becomes a large, symmetrical castle with no chambers. In generation 1 it has six live cells, but a smaller bounding box, only 3x3.
| (click above to open LifeViewer) |
| L | Name | BB | MCPS | I | F | L/I | F/I | F/L | L/MCPS |
|---|---|---|---|---|---|---|---|---|---|
| 6221 | Pentaselah | 4 × 4 | 6 | 5 | 48753 | 1244.2 | 9750.6 | 7.837 | 1036.8 |
F refers here to the population in generation 6221, when everything settles down into periodic oscillations. The largest population ever reached is 48779, and in its final form, pentaselah is technically an oscillator with period 7392, although this number is simply a multiple of periods of all wall defenders (32 for flag bearer, 11 for rubble, 7 for half-ballista, 3 for bird's nest).
Pentaselah + other objects
Combined with other patterns, pentaselah can react in various ways, which can be used to synthesize more complex objects. For example, a reaction with a single duoplet can create a p24 pulsating eye or a p42 butterfly.
| (click above to open LifeViewer) |
More of such reactions are shown here.
Monstrosity
Castles are not an explosive rule, although sometimes it really looks like the chaotic growth doesn't end. The best example of such growth is what I call the "monstrosity". Perturbing evolution of a pentaselah in just the right way results in a greatly extended lifespan and greatly embiggened final pattern.
| (click above to open LifeViewer) |
| L | Name | BB | MCPS | I | F | L/I | F/I | F/L | L/MCPS |
|---|---|---|---|---|---|---|---|---|---|
| 84981 | Monstrosity | 11 × 14 | 16 | 7 | 2578423 | 12140.1 | 368346.1 | 30.341 | 5311.3 |
Again, F refers to the population in generation 84981, when everything settles down into periodic oscillations. The largest population ever reached is 2578474.
Monstrosity has a total of 927 wall defenders (see the census) and 59 chambers, ranging from anti-blocks (14 instances) and anti-ponds (7 instances) to the enormous central chamber, which has an area of over 107k cells. This chamber is over twice as big as the original pentuselah, but unfortunately there doesn't seem to be a way to fit it inside.