Mountain range patterns

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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Dean Hickerson
Posts: 103
Joined: December 19th, 2015, 1:15 pm

Mountain range patterns

Post by Dean Hickerson » March 7th, 2019, 6:59 pm

While experimenting with variations of my old "jagged lines" pattern from 2005 http://conwaylife.com/wiki/Jagged_lines, I found some patterns that grow mountain ranges. Most of these are what I call "witch's hat" patterns because of their general shape. They consist of 2 LWSS rakes moving east and west, which send LWSSs back toward the origin, and 2 glider rakes moving north, which send gliders southwest and southeast. The collision between the LWSSs is the symmetric one that sends 2 gliders northwest and northeast. Other collisions between the gliders and LWSSs and the debris from previous collisions can produce many different results, depending on the relative positions and phases of the rakes.

One of the first mountain patterns that I found is still my favorite:

Code: Select all

#CXRLE Pos=-60,-35
#N Big mountains
# Four p40 rakes produce a big mountain range.
x = 121, y = 71, rule = B3/S23
64b3o11b3o$63bo2bo10bo2bo$66bo4b3o6bo$41bo13bo10bo4bo2bo5bo$40b3o11b3o
8bo5bob2o4bo$39b2obo5bo4b2obo$39b3o5b3o3b3o$40b2o4bo2b2o3b2o$46bo3bo
14bo8bo$47b2obo13b3o5bobo4bo$49b2o12b2obo11b3o$63b3o4bo2bo4bob2o$54b3o
7b2o4b3o6b3o$40b3o11bo2bo13bo7b3o$33b3o3bo2bo11bo24b2o4b3o$32b5o5bo11b
o29b5o$31b2ob3o5bo12bo16bo11b3ob2o$4o5b2o21b2o8bo6bo19b2obo14b2o21b2o
5b4o$o3bo3b2ob2o28bo5b2obo18bo2bo35b2ob2o3bo3bo$o8b4o34bo2bo18b3o36b4o
8bo$bo8b2o97b2o8bo$50bo$24bo24bobo44bo$3bo6bo14b2o21bo45b2o14bo6bo$2bo
7b2o12b2o69b2o12b2o7bo$2bo6b2o99b2o6bo$2b2o4b2o101b2o4b2o$4bo111bo$6b
2o105b2o2$11b3o93b3o$4o6b5o91b5o6b4o$o3bo4b2ob3o91b3ob2o4bo3bo$o9b2o
25b2o43b2o25b2o9bo$bo34b4o41b4o34bo$19b2o14b2ob2o16b3o3b3o16b2ob2o14b
2o$18b4o14b2o17bo2bo3bo2bo17b2o14b4o$17b2ob2o36bo3bo36b2ob2o$18b2o38bo
3bo38b2o$58bo3bo$57bo5bo2$21b2o75b2o$20bo2bo73bo2bo$19b2o2bo31b2o7b2o
31bo2b2o$20b2o2bo29b2ob3ob3ob2o29bo2b2o$21b4o30b5ob5o30b4o$56b3o3b3o2$
19b2o79b2o$18b4o4b4o10b3o35b3o10b4o4b4o$17b2ob2o4bo3bo9bo39bo9bo3bo4b
2ob2o$2b4o5b2o5b2o6bo14bo37bo14bo6b2o5b2o5b4o$2bo3bo3b2ob2o12bo65bo12b
2ob2o3bo3bo$2bo8b4o91b4o8bo$3bo2bo5b2o21b3o45b3o21b2o5bo2bo$35bo49bo$
7b2o27bo47bo27b2o$5b5o101b5o$4bo4bo101bo4bo$4bo2b3o20b3o55b3o20b3o2bo$
4b2o2bo21bo59bo21bo2b2o$6b2o23bo57bo23b2o3$25b3o65b3o$2b4o19bo69bo19b
4o$2bo3bo13bo5bo67bo5bo13bo3bo$2bo16bo81bo16bo$3bo15bo3bo73bo3bo15bo$
19b4o75b4o!
To describe witch's hat patterns, I'll label some of the collision points:

C is where the eastward and westward LWSSs meet.

W is where the southwestward glider wave meets the eastward LWSS stream.

E is where the southeastward glider wave meets the westward LWSS stream.

NW is where the northwestward gliders from C meet the southwestward glider wave.

NE is where the northeastward gliders from C meet the southeastward glider wave.

The points W and E move at c/6 to the west and east. The point C can be anywhere between W and E, and can move back and forth. The points NW and NE can move up and down along the glider waves.

In the pattern above, there's a ternary reaction at E: When a southeastward glider hits a westward LWSS, it forms a loaf and a block, which is deleted by the next LWSS from either direction. A vanish reaction occurs at W. More than half of the eastward LWSSs get past W, while a much smaller fraction of the westward ones get past E. Because of that, the collision point C tends to move to the right; in fact it stays fairly close to E. (On rare occasions, C is so close to E that an eastward LWSS deletes a loaf and block; I don't know if that happens infinitely often.)

At NW, a kickback glider is formed, which travels northeast and eventually deletes a southeastward glider before it gets to the point NE.

At NE, each glider collision produces a blinker, which may be deleted by a later northwest or northeastward glider formed at C. The blinkers that don't get deleted form the mountains.

The mountains vary in shape: Some have fairly straight sides, more so on the west than on the east, but others are more rounded. Some have big gaps along the sides. There's a tendency for neighboring mountains to have similar size and shape, but there are exceptions. For example, about gen 1.4 billion, there's one of height about 2.6 million. But the next few are progressively smaller, and between gens 1.4502 billion and 1.4515 billion the mountains all have heights less than 2500. Then they start to grow again. Similar size reductions occur around generations 5.8 billion and 7.4 billion.

I don't know if the mountains can get arbitrarily large; the tallest one I've seen has height about 11.8 million, around gen 10.5 billion.

If we move one of the glider rakes so that the kickback reaction is replaced by a vanish reaction, we still get mountains of various shapes and sizes, but they're much smaller; the largest I've seen has height about 360000, around gen 2.1 billion. (But this runs slower in Golly, and I've only run it for 3 billion gens.) I don't know why the kickback has such an effect on the size.

Code: Select all

#CXRLE Pos=-60,-37
#N Small mountains
# Four p40 rakes produce a small mountain range.
x = 121, y = 73, rule = B3/S23
40b3o11b3o$40bo2bo10bo2bo$40bo6b3o4bo9b3o11b3o$40bo5bo2bo4bo8bo2bo10bo
2bo$41bobo2bo3bo4bobo8bo4b3o6bo$45b2obobo15bo4bo2bo5bo$45b2ob2o15bo5bo
b2o4bo$46b3o$55bo$41bo12b3o$40b3o4bo6bob2o7bo8bo$39b2obo4b2o6b3o6b3o5b
obo4bo$39b3o3bobo7b2o6b2obo11b3o$39b3o8bo12b3o4bo2bo4bob2o$40b2o5bob4o
11b2o4b3o6b3o$48bo2bo19bo7b3o$33b3o11bo3bo27b2o4b3o$32b5o10b2ob2o32b5o
$31b2ob3o10b2o23bo11b3ob2o$4o5b2o21b2o13b4obo16b2obo14b2o21b2o5b4o$o3b
o3b2ob2o39bo16bo2bo35b2ob2o3bo3bo$o8b4o38b2o16b3o36b4o8bo$bo8b2o38b2o
57b2o8bo$50bo$24bo71bo$3bo6bo14b2o67b2o14bo6bo$2bo7b2o12b2o69b2o12b2o
7bo$2bo6b2o99b2o6bo$2b2o4b2o101b2o4b2o$4bo111bo$6b2o105b2o2$11b3o42b3o
48b3o$4o6b5o41bo2bo46b5o6b4o$o3bo4b2ob3o41bo49b3ob2o4bo3bo$o9b2o25b2o
17bo25b2o25b2o9bo$bo34b4o16bo24b4o34bo$19b2o14b2ob2o17bo4b3o16b2ob2o
14b2o$18b4o14b2o24bo2bo17b2o14b4o$17b2ob2o40bo36b2ob2o$18b2o42bo38b2o$
62bo$63bo2$21b2o75b2o$20bo2bo73bo2bo$19b2o2bo31b2o7b2o31bo2b2o$20b2o2b
o29b2ob3ob3ob2o29bo2b2o$21b4o30b5ob5o30b4o$56b3o3b3o2$19b2o79b2o$18b4o
4b4o10b3o35b3o10b4o4b4o$17b2ob2o4bo3bo9bo39bo9bo3bo4b2ob2o$2b4o5b2o5b
2o6bo14bo37bo14bo6b2o5b2o5b4o$2bo3bo3b2ob2o12bo65bo12b2ob2o3bo3bo$2bo
8b4o91b4o8bo$3bo2bo5b2o21b3o45b3o21b2o5bo2bo$35bo49bo$7b2o27bo47bo27b
2o$5b5o101b5o$4bo4bo101bo4bo$4bo2b3o20b3o55b3o20b3o2bo$4b2o2bo21bo59bo
21bo2b2o$6b2o23bo57bo23b2o3$25b3o65b3o$2b4o19bo69bo19b4o$2bo3bo13bo5bo
67bo5bo13bo3bo$2bo16bo81bo16bo$3bo15bo3bo73bo3bo15bo$19b4o75b4o!
For large (or small) mountains, a different ternary reaction can also be used:

Code: Select all

#CXRLE Pos=-60,-41
#N Big mountains made of fishhooks
# Four p40 rakes produce a big mountain range.
x = 121, y = 77, rule = B3/S23
69bo13bo$68b3o11b3o$68bob2o4bo5bob2o$69b3o3b3o5b3o$69b2o3b2o2bo4b2o$
74bo3bo$74bobo3bo2$75b2ob2o$68b3o6bo$44bo13bo8bo2bo11b3o$43b3o11b3o10b
o5b2o4bo2bo$42b2obo5bo4b2obo10bo5b2o4bo$42b3o5b3o3b3o10bo6b3o3bo$43b2o
4bo2b2o3b2o15b3obo3bo$49bo3bo18bo2b2o6bo$47bo3bobo18bo4bo$74b3o$48b2ob
2o22bo$50bo6b3o$33b3o7b3o11bo2bo24b3o$32b5o5bo2bo4b2o5bo26b5o$31b2ob3o
8bo4bobo4bo26b3ob2o$4o5b2o21b2o11bo12bo28b2o21b2o5b4o$o3bo3b2ob2o32bo
62b2ob2o3bo3bo$o8b4o31bo63b4o8bo$bo8b2o97b2o8bo2$24bo71bo$3bo6bo14b2o
67b2o14bo6bo$2bo7b2o12b2o69b2o12b2o7bo$2bo6b2o99b2o6bo$2b2o4b2o101b2o
4b2o$4bo111bo$6b2o105b2o2$11b3o93b3o$4o6b5o91b5o6b4o$o3bo4b2ob3o51b3o
37b3ob2o4bo3bo$o9b2o25b2o27bo2bo12b2o25b2o9bo$bo34b4o26bo14b4o34bo$19b
2o14b2ob2o26bo14b2ob2o14b2o$18b4o14b2o21b3o4bo16b2o14b4o$17b2ob2o36bo
2bo5bo31b2ob2o$18b2o41bo39b2o$61bo$61bo$60bo$21b2o75b2o$20bo2bo73bo2bo
$19b2o2bo31b2o7b2o31bo2b2o$20b2o2bo29b2ob3ob3ob2o29bo2b2o$21b4o30b5ob
5o30b4o$56b3o3b3o2$19b2o79b2o$18b4o4b4o10b3o35b3o10b4o4b4o$17b2ob2o4bo
3bo9bo39bo9bo3bo4b2ob2o$2b4o5b2o5b2o6bo14bo37bo14bo6b2o5b2o5b4o$2bo3bo
3b2ob2o12bo65bo12b2ob2o3bo3bo$2bo8b4o91b4o8bo$3bo2bo5b2o21b3o45b3o21b
2o5bo2bo$35bo49bo$7b2o27bo47bo27b2o$5b5o101b5o$4bo4bo101bo4bo$4bo2b3o
20b3o55b3o20b3o2bo$4b2o2bo21bo59bo21bo2b2o$6b2o23bo57bo23b2o3$25b3o65b
3o$2b4o19bo69bo19b4o$2bo3bo13bo5bo67bo5bo13bo3bo$2bo16bo81bo16bo$3bo
15bo3bo73bo3bo15bo$19b4o75b4o!
In this case the collision at E produces a blinker instead of a loaf and block. The mountains are made of fishhooks instead of blinkers. The fishhooks can only be deleted by northeastward gliders; the northwestward gliders pass between them. In this case the tallest mountain that I've seen has height about 7.9 million, around gen 7.9 billion. I haven't seen any places where the size suddenly decreases as it did for the first big mountains pattern.

Here's another example of small mountains. In this case they're made of 2 different objects, ponds and ships. They tend to be smaller and more variable in shape than in the previous example. The tallest mountain that I've seen has height about 19600, around gen 183 million.

Code: Select all

#CXRLE Pos=-60,-36
#N Small mountains made of ponds and ships
# Four p40 rakes produce a small mountain range.
x = 121, y = 72, rule = B3/S23
41b3o11b3o9bo13bo$41bo2bo10bo2bo7b3o11b3o$41bo6b3o4bo9b2obo5bo4b2obo$
41bo5bo2bo4bo9b3o5b3o3b3o$42bo4b2obo5bo9b2o5bob2o3b2o4$47bo8bo19bo$42b
o4bobo5b3o8b3o5b3o$41b3o11bob2o7bo2bo5bo4b3o$40b2obo4bo2bo4b3o7bo5bo2b
o3bo2bo$40b3o6b3o4b2o8bo5b3o7bo$40b3o7bo16bo14bo$41b2o39bo$33b3o45bo3b
3o$32b5o12bo24bo9b5o$31b2ob3o12bob2o19b3o9b3ob2o$4o5b2o21b2o15bo2bo18b
2o14b2o21b2o5b4o$o3bo3b2ob2o37b3o19b2o34b2ob2o3bo3bo$o8b4o95b4o8bo$bo
8b2o97b2o8bo2$24bo71bo$3bo6bo14b2o67b2o14bo6bo$2bo7b2o12b2o69b2o12b2o
7bo$2bo6b2o99b2o6bo$2b2o4b2o101b2o4b2o$4bo111bo$6b2o105b2o2$11b3o93b3o
$4o6b5o42b3o46b5o6b4o$o3bo4b2ob3o42bo2bo45b3ob2o4bo3bo$o9b2o25b2o18bo
24b2o25b2o9bo$bo34b4o17bo6b3o14b4o34bo$19b2o14b2ob2o17bo6bo2bo13b2ob2o
14b2o$18b4o14b2o20bo5bo18b2o14b4o$17b2ob2o42bo34b2ob2o$18b2o44bo36b2o$
65bo3$21b2o75b2o$20bo2bo73bo2bo$19b2o2bo31b2o7b2o31bo2b2o$20b2o2bo29b
2ob3ob3ob2o29bo2b2o$21b4o30b5ob5o30b4o$56b3o3b3o2$19b2o79b2o$18b4o4b4o
10b3o35b3o10b4o4b4o$17b2ob2o4bo3bo9bo39bo9bo3bo4b2ob2o$2b4o5b2o5b2o6bo
14bo37bo14bo6b2o5b2o5b4o$2bo3bo3b2ob2o12bo65bo12b2ob2o3bo3bo$2bo8b4o
91b4o8bo$3bo2bo5b2o21b3o45b3o21b2o5bo2bo$35bo49bo$7b2o27bo47bo27b2o$5b
5o101b5o$4bo4bo101bo4bo$4bo2b3o20b3o55b3o20b3o2bo$4b2o2bo21bo59bo21bo
2b2o$6b2o23bo57bo23b2o3$25b3o65b3o$2b4o19bo69bo19b4o$2bo3bo13bo5bo67bo
5bo13bo3bo$2bo16bo81bo16bo$3bo15bo3bo73bo3bo15bo$19b4o75b4o!
The "big mountains" patterns have a multiple feedback mechanism, in which a collision at C in generation N may affect collisions a "short" time later (depending on how far C is from E) because of the northeastward glider produced at C, and may also affect collisions around generation 10N because of the southwestward glider deleted at NW, and around generation 13N because of the kickback glider.

As mentioned above, we still get mountains if we eliminate the N to 13N effect; they're just smaller. But until recently, I assumed that the N to 10N effect was necessary to produce interesting mountains. Without it, there's no information coming from the west; all the important activity occurs in the relatively small region around C and E. In previous experiments, deleting the rake that produces southwestward gliders, that activity became periodic and uninteresting. But then I tried replacing the westward rake by one with period 80 instead of 40, and suddenly there were mountains forming again. They tend to have much straighter sides, and they get big much faster, but they're still unpredictable, with smaller mountains sometimes sandwiched between large ones.

Here's one such pattern; I've replaced the p80 LWSS rake by a p160 LWSS gun to reduce the growth rate. The tallest mountain up to gen 15 billion has height about 620 million.

Code: Select all

#CXRLE Pos=-125,-62
#N Huge mountains
# Two p40 rakes and a p160 LWSS gun produce a huge mountain range.
x = 206, y = 140, rule = B3/S23
55b2o3b2o$57bobo2bo$54bo5b2o$55bob3o$56b2o2b2o2b2o$48b2o5bo2bobo2bobo$
47bo2bo4b4o2bobo7b2obo$46bo2bo2bo6bo4bo5bobob3o11b2o$43bo2b3o8b2o2b3ob
o3bo2bo4bo9bobo$35bob2o4b3o3b2obo4bo6bo5b3o3bo3bob2o3bo$20b2o11b3obobo
6b2o3bo7bob3o11bob2o7b2o$20bobo9bo4bo2bo2b2obo10b5o6b8o7bobo$22bo2b2o
4bobo3b3o3bo3bo8bobo9bo7bob3o3bob2o$22b4o2b5obo9b3o8b2obo11bo3b2o2bo2b
4obobo$25bobo6b8o4b2ob2o7b2o9b2o2bob2o4bo6bo$22b2ob2o4b3o7bo9bo5b2o10b
o4bobo5b6o$21bob2o2b2obo4b2o2bo7bo6bobo12b3ob2ob2o5bo$21bo14bo2b2o7bob
2o3bo10bo2b2o2b3o5bo4b2o$22b6o5bob4o3bo17bo3b2o3bo3bo4bo2b2o3b2o$26bo
6bo3b3o18b2o5b2o2bobo2b4o$22b2o4bo2b3o2bo6bo14b3o3b3ob2o2b2o$22b2o3b2o
2bo4bo3bob2o14b2o5b2o2bobo2b4o76bo13bo$32b4o2bobob2o6bobo7bo3b2o3bo3bo
4bo2b2o3b2o65b3o11b3o$36b4o2b2o5bo2bo2bo10bo2b2o2b3o5bo4b2o65bob2o4bo
5bob2o$32b4o2bobob2o6bobo3b2o11b3ob2ob2o5bo70b3o3b3o5b3o$22b2o3b2o2bo
4bo3bob2o11b2o12bo4bobo5b6o66b2o3b2o2bo4b2o$22b2o4bo2b3o2bo6bo25b2o2bo
b2o4bo6bo70bo3bo$26bo6bo3b3o30bo3b2o2bo2b4obobo70bobo3bo$22b6o5bob4o3b
o25bo7bob3o3bob2o$21bo14bo2b2o8b3o16b8o7bobo74b2ob2o$21bob2o2b2obo4b2o
2bo7bo2b2o23bob2o7b2o65b3o6bo$22b2ob2o4b3o7bo5b3o20b3o3bo3bob2o3bo64bo
2bo11b3o$25bobo6b8o3b2o3b2o17bo2bo4bo9bobo65bo5b2o4bo2bo$22b4o2b5obo9b
o2b5o18bobob3o11b2o65bo5b2o4bo$22bo2b2o4bobo3b3o4b2obobo9bobo9b2obo79b
o6b3o3bo$20bobo9bo4bo2bo6bo10bo100b3obo3bo$20b2o11b3obobo7b2o4b2o2bo4b
o94bo2b2o6bo$35bob2o14b2obo2bob2o94bo4bo$57b2o100b3o$160bo$36bo3b2o$
35b2o2bo2bo127b3o$36b2o2b2o127b5o$35bob3o35bo93b3ob2o$35bo4b2o2b2o30b
2o94b2o21b2o5b4o$28b2o5bo2bobo2bobo29b2o116b2ob2o3bo3bo$27bo2bo4b4obob
2o7b2obo138b4o8bo$26bo2bo9b3o2bo5bobob3o11b2o124b2o8bo$23bo2b3ob2o5b2o
3b2obo3bo2bo4bo9bobo$15bob2o4b3o3b3o5bo2bo3bo5b3o3bobo4b2o2bo113bo$2o
11b3obobo6b2o2b2o5bobob3o11bob5o2b4o111b2o14bo6bo$obo9bo4bo2bo2b4o10bo
3bo6b8o6bobo115b2o12b2o7bo$2bo8bobo3b3o3bo3bo7b2o3bo7bo7b3o4b2ob2o127b
2o6bo$2b2ob3o4bobo9b2o2bo6b2obo11bo2b2o4bob2o2b2obo127b2o4b2o$4b2o8b8o
4b2o2bo5bo2bo9b2o2bo14bo132bo$2b2o4b6o3bo3bo4b3obo6b3o7bo3b4obo5b6o
130b2o$bobob4o2bo3bo3bo10b2o3b3o12b3o3bo6bo33b2o18b2o$bo6bo3b2o2bo2b2o
14bo10bo6bo2b3o2bo4b2o29bo19bo74b3o$2b6o9b2o2bo20bo3b2obo3bo4bo2b2o3b
2o123b5o6b4o$6bo5b2o3b2o2bo19bobo2b2obobo2b4o22bo70b3o37b3ob2o4bo3bo$
2b2o4bo3b3o3bo2bo18bo5b2o2b4o26b3o68bo2bo12b2o25b2o9bo$2b2o3b2o3bo3b2o
2b2o3b4o12bobo2b2obobo2b4o25bo67bo14b4o34bo$12b4o4bobo4bobo12bo3b2obo
3bo4bo2b2o3b2o14b2o67bo14b2ob2o14b2o$16b3ob2o7b2o15bo6bo2b3o2bo4b2o83b
o16b2o14b4o$12b4o4bobo4bobo20b3o3bo6bo88bo31b2ob2o$2b2o3b2o3bo3b2o2b2o
3b4o18bo3b4obo5b6o118b2o$2b2o4bo3b3o3bo2bo27b2o2bo14bo$6bo5b2o3b2o2bo
28bo2b2o4bob2o2b2obo30b2o$2b6o9b2o2bo26bo7b3o4b2ob2o31bobo$bo6bo3b2o2b
o2b2o9bo17b8o6bobo36bo81b2o$bobob4o2bo3bo3bo7bob2o24bob5o2b4o33b2o79bo
2bo$2b2o4b6o3bo3bo5b2obo19b3o3bobo4b2o2bo81b2o31bo2b2o$4b2o8b8o3b2o3b
2o17bo2bo4bo9bobo76b3ob2o29bo2b2o$2b2ob3o4bobo9bo2b3o20bobob3o11b2o76b
5o30b4o$2bo8bobo3b3o4b2obo23b2obo5b2o85b3o$obo9bo4bo2bo6bo32b2o46bo$2o
11b3obobo7b2o6bo3bo63b3ob2o2b2o14b2obo54b2o$15bob2o15bobobobo62b4o4b2o
4b2o7bobob3o11b2o17b3o10b4o4b4o$32b2o2bobo2b2o17b3o8b2o34b2o9bo6bo2bo
4bo9bobo19bo9bo3bo4b2ob2o$32b2ob2ob2ob2o18b2o7bobo18bob2o21bobob2o4b3o
3bo3bo2b2o2bo20bo14bo6b2o5b2o5b4o$31bobo7bobo14b2o12bo3b2o11b3obobo18b
o3bo2bo9bob6o3b2o34bo12b2ob2o3bo3bo$32bo2b2ob2o2bo15b3o15bobo9bo4bo2bo
17bo4b2o3b8o4b3o52b4o8bo$59bobo16bo8bobo3b3o20b3o5bo7b3o2bo2bob2o24b3o
21b2o5bo2bo$35b2ob2o20b2o16b2ob3o4bobo12b3o8bo3bo7bo2b2o2b2o3b5obo25bo
$31bo2bobobobo2bo36b2o8b8o5bo10bobo8b2o4bo5bo6bo24bo27b2o$31bo3bo3bo3b
o34b2o4b6o3bo3bo6bo10bo9bo4b2o6b6o52b5o$77bobob4o2bo3bo3bo30bo3bobo6bo
56bo4bo$77bo6bo3b2o2bo2b2o25b2o2b2obo2bobo2bo4b2o29b3o20b3o2bo$78b6o9b
2o2bo23bo4bob2o4bo2b2o3b2o31bo21bo2b2o$82bo5b2o3b2o2bo16bo6bo3bobo2b4o
40bo23b2o$78b2o4bo3b3o3bo2bo14b2ob2o4bo3bo3bo$78b2o3b2o3bo3b2o2b2o8bo
7bo6bo3bobo2b4o$88b4o4bobo8bo13bo4bob2o4bo2b2o3b2o34b3o$92b3ob2o7bo2bo
13b2o2b2obo2bobo2bo4b2o36bo19b4o$35bo3bo48b4o4bobo8bo18bo3bobo6bo39bo
5bo13bo3bo$34bobobobo37b2o3b2o3bo3b2o2b2o8bo18bo4b2o6b6o42bo16bo$35b2o
b2o20b2o16b2o4bo3b3o3bo2bo12bo14b2o4bo5bo6bo37bo3bo15bo$33b3o3b3o18b2o
20bo5b2o3b2o2bo10b3o3b2o10bo2b2o2b2o3b5obo38b4o$32b2o7b2o17b2o16b6o9b
2o2bo8b3o6bob3o4bo7b3o2bo2bob2o$31b3obo3bob3o16bo16bo6bo3b2o2bo2b2o9bo
2bo5bo2b2o4b8o4b3o$30b2o3b2ob2o3b2o14bobo15bobob4o2bo3bo3bo11bob2o6bo
2b2o9bob6o3b2o$30b3o2b2ob2o2b3o14bob2o15b2o4b6o3bo3bo7bo3b2o7bo3bo3b3o
3bo3bo2b2o2bo$15bob2o12b2o9b2o36b2o8b8o6bo3bo10b4o2bo2bo4bo9bobo$2o11b
3obobo7b2o3b4o3b4o35b2ob3o4bobo11b3obobo5b2o2b2o6bobob3o11b2o$obo9bo4b
o2bo6bo6bo5bo19b2o16bo8bobo3b3o5bo3bo2bo5b3o3b3o4b2obo$2bo8bobo3b3o4b
2obo6bo5bo10b2obo5b2o14bobo9bo4bo2bo3bob2o3b2o5b2ob3o2bo$2b2ob3o4bobo
9bo2b3o20bobob3o11b2o6b2o11b3obobo5bo2b3o9bo2bo$4b2o8b8o3b2o3b2o17bo2b
o4bo9bobo21bob2o7b2obob4o4bo2bo$2b2o4b6o3bo3bo5b2obo19b3o3bobo4b2o2bo
32bobo2bobo2bo5b2o$bobob4o2bo3bo3bo7bob2o24bob5o2b4o32b2o2b2o4bo$bo6bo
3b2o2bo2b2o9bo17b8o6bobo41b3obo$2b6o9b2o2bo26bo7b3o4b2ob2o36b2o2b2o$6b
o5b2o3b2o2bo28bo2b2o4bob2o2b2obo34bo2bo2b2o$2b2o4bo3b3o3bo2bo27b2o2bo
14bo35b2o3bo$2b2o3b2o3bo3b2o2b2o9bo15bo3b4obo5b6o$12b4o4bobo7bobo17b3o
3bo6bo$16b3ob2o7bo3bo12bo6bo2b3o2bo4b2o$12b4o4bobo7bobo13b2obo3bo4bo2b
2o3b2o$2b2o3b2o3bo3b2o2b2o9bo5bobo6b2obobo2b4o$2b2o4bo3b3o3bo2bo15bo2b
o5b2o2b4o$6bo5b2o3b2o2bo15bobo6b2obobo2b4o$2b6o9b2o2bo24b2obo3bo4bo2b
2o3b2o$bo6bo3b2o2bo2b2o9bo5bo9bo6bo2b3o2bo4b2o$bobob4o2bo3bo3bo7b5o2b
2o14b3o3bo6bo$2b2o4b6o3bo3bo5b2ob2o2b2o2bo8bo3b4obo5b6o$4b2o8b8o3bobob
o5b2ob3o8b2o2bo14bo$2b2ob3o4bobo9bo10b2o13bo2b2o4bob2o2b2obo$2bo8bobo
3b3o3bo2bo11bo9bo7b3o4b2ob2o$obo9bo4bo2bo2b2obobo8b2o2bo6b8o6bobo$2o
11b3obobo6bo12bob3o11bob5o2b4o$15bob2o4b3o4b3o6b2o3bo5b3o3bobo4b2o2bo$
23bo2b3ob3o3b3ob2obobo3bo2bo4bo9bobo$26bo2bobo7bobo2bo5bobob3o11b2o$
27bo2bo3b5o2b3o7b2obo$28b2o8bobo2bobo$37bo2b2o2b2o$34b2ob3o$36bo3b2o$
35b2o2bo2bo$35b2o3b2o!
Changing the period of the LWSS gun to 240 produces smaller mountains. They have fairly straight sides, with large gaps on the west sides, and heights that increase almost monotonically:

Code: Select all

#CXRLE Pos=-100,-45
#N Almost monotonic mountains
# Two p40 rakes and a p240 LWSS gun produce mountains growing almost
# monotonically.
x = 181, y = 81, rule = B3/S23
5b2o$5b2o3$129bo13bo$128b3o11b3o$128bob2o4bo5bob2o$129b3o3b3o5b3o$4b3o
10bo111b2o3b2o2bo4b2o$3bo3bo8b3o115bo3bo$134bobo3bo$2bo5bo44bo$2b2o3b
2o7b3o32b3o81b2ob2o$50bo77b3o6bo$16bobo31b2o75bo2bo11b3o$5bo10bobo111b
o5b2o4bo2bo$3b2obo123bo5b2o4bo$6bo9b3o30bo79bo6b3o3bo$2bo3bo43bo3bo79b
3obo3bo$2bo2bo39b2o3bo4bo5b2o69bo2b2o6bo$b5o10b3o26bo3bo2bo2bo5b2o69bo
4bo$b5o11bo27bobo3b4o79b3o$2o3b2o39b2o3b2o4b2o76bo$b5o51b2o$2b3o5bobo
132b3o$3bo7b2o131b5o$11bo132b3ob2o$34b2o111b2o21b2o5b4o$34b2o132b2ob2o
3bo3bo$168b4o8bo$30b2o5b2o130b2o8bo$30b2o5b2o$156bo$154b2o14bo6bo$3b2o
16b3o131b2o12b2o7bo$3b2o36bo128b2o6bo$11bo29bobo127b2o4b2o$11bobo27b2o
8b2o123bo$14b2o35bo121b2o$14b2o18bo14bobo2b2o$14b2o19bo13b2o3b2o111b3o
$2b2o7bobo19b3o130b5o6b4o$bobo7bo8b3o103b3o37b3ob2o4bo3bo$bo124bo2bo
12b2o25b2o9bo$2o18bobo103bo14b4o34bo$19b5o102bo14b2ob2o14b2o$18b2o3b2o
101bo16b2o14b4o$18b2o3b2o102bo31b2ob2o$161b2o$38bo$38b2o7b2o5b2o$37bob
o7b2o5b2o$158b2o$18b2o4b2o3b2o19b2o105bo2bo$19bo5bo2bo21b2o72b2o31bo2b
2o$16b3o3b3o4bo2bo88b3ob2o29bo2b2o$16bo5bo6b5o87b5o30b4o$30bo3bo87b3o$
32bobo$31b2o127b2o$30b2o106b3o10b4o4b4o$23b2o4b2o109bo9bo3bo4b2ob2o$
23b2o114bo14bo6b2o5b2o5b4o$153bo12b2ob2o3bo3bo$166b4o8bo$143b3o21b2o5b
o2bo$145bo$34b2o108bo27b2o$35bo135b5o$32b3o136bo4bo$32bo115b3o20b3o2bo
$150bo21bo2b2o$149bo23b2o3$153b3o$155bo19b4o$154bo5bo13bo3bo$161bo16bo
$157bo3bo15bo$158b4o!
These patterns use period 40 rakes. For the kickback to occur, the period has to be at least 36, and I haven't found a pattern that works at that period. So p40 is the smallest that I know of for a "big mountains" pattern. For small mountains, the lowest period that I know of is p28:

Code: Select all

#CXRLE Pos=-99,-80
#N Small mountains (p28)
# Four p28 rakes produce a small mountain range.
x = 199, y = 148, rule = B3/S23
82bo$78b2ob3o$76b2obo3b2o$76bo4bo2b2o$75b2obo5bo$73b2obo7b2o$74bo7bobo
b2o$71b2obob2o3b2obobo$71b2obo5bo3bobob2o$55b3ob3o9bo2bobo7bo3b2o23b3o
$54bo2bobo2bo7b2obo6b2o3bob3o22bo2b5o$53bo3bobo3bo8b2obo13b2o20bo3bobo
b2o$53bo9bo6b2o4bo34bo6bo$55bo5bo9b2o2bo37bo6bobo$52bobo7bobo7bo37bobo
6b2ob2o$51b2obob2ob2obob2o5bo3b2o32b2obob2o3b2obobo$50bobobo2bobo2bobo
bo7bo2bo30bobobob2o6bob2o$49b2obo4bobo4bob2o3b4o32b2o3bo2bo3b2obo3bo9b
o3bo$48bo3bob2obobob2obo3bobo3bob2o28bo3bobo2b2o4b2o12b3ob3o$52bo4bobo
4bo44bo11bobob2o7b2obobob2o$48b2o3bo2bo3bo2bo3b2ob2ob2obo29b2o14b2o9b
2o7b2o$120b4o2bo7bo7bo$60bo4b14o4bo40bobo6b2o7b2o$59b3ob2o5bo8b2ob3o
35b2o2bo6b2obobo3bobob2o$58b4o20b4o34b2o10bobob2ob2obobo$57b2o2b2obob
2obobob5obob2o2b2o33bobo2bo3b2obo2bobobobo2bob2o$58bo26bo33b2obob2o3b
2obob2obobob2obob2o$57b2o26b2o34b2ob2o3bo2bo4bobo4bo2bo$55b2obobo22bob
ob2o30b2ob2ob2ob2o2bob2obobob2obo2b2o$56bobob2o5bo14b2obobo$53b2obobo
3bo3b3o12bo3bobob2o$53b2o3bo6b2obo16bo3b2o21b3o2b16o2b3o$53b3obo3b2o2b
3o13b2o3bob3o20bo3bob8obob5obo3bo$52b2o11b3o22b2o18bo6bo8bo5bo6bo$66b
2o42bo3b2o18b2o3bo$112bo24bo$33bo75bobo9b2o15bobo24bo$11bo18b4o74b2obo
b2o6bo13b2obob2o23b4o18bo$8b4o18b3o74bobobob2o13b3o4b2obobobo23b3o18b
4o$8b3o17bo3bo30bo42b2o3bo2bo12bo2bo4bo2bo3b2o22bo3bo17b3o$6bo3bo17b3o
31b3o40bo3bobo2b2o14bo3b2o2bobo3bo23b3o17bo3bo$6b3o16bobo4bo28b2obo43b
o21bo10bo24bo4bobo16b3o$3bobo4bo13b8o29b3o41b2o23bo12b2o22b8o13bo4bobo
$2b8o13b2o36b3o65bo44b2o13b8o$b2o19b3o3b2o31b3o105b2o3b3o19b2o$2o4b2o
15b3o3bo2bo19b2o8b2o81b2o19bo2bo3b3o15b2o4b2o$bobo3bo2bo14bo4bobo18b2o
b4o83b4ob2o18bobo4bo14bo2bo3bobo$8bobo12bo28b6o83b6o28bo12bobo$b2o20bo
bo27b4o75b3o7b4o27bobo20b2o$bo2bo17bo108bo2bo41bo17bo2bo$2bo4bo8bobo3b
o2bo4bob2o100bo30b2obo4bo2bo3bobo8bo4bo$2b4obobo2bo2bo2bobobo2bo3b4o
101bo31b4o3bo2bobobo2bo2bo2bobob4o$4bo6bobobo6bo2bo2b2obo102bo32bob2o
2bo2bo6bobobo6bo$5b5o6b3obobo2bo2bo2bo8bobo91bo21bobo8bo2bo2bo2bobob3o
6b5o$5bo4b2o5bo2bobo2bo5b2o8b2o90bo22b2o8b2o5bo2bobo2bo5b2o4bo$7b2o2bo
b2o2bo4bo4bo3bobo7bo115bo7bobo3bo4bo4bo2b2obo2b2o$7b4ob2obobo2bobo2bo
2bo3b2o131b2o3bo2bo2bobo2bobob2ob4o$10bobo5bobob2o151b2obobo5bobo$22bo
2bo147bo2bo$18bobobo7b2o135b2o7bobobo$17bo2bobo2bo3b2ob3o129b3ob2o3bo
2bobo2bo$16b2o4bo2bo4b5o129b5o4bo2bo4b2o$15bo6bo8b3o45b3o83b3o8bo6bo$
14b6o3bobo14b2o37bo2bo74b2o14bobo3b6o$11b2o7bo2bo15b2ob4o33bo73b4ob2o
15bo2bo7b2o$10bo3b3obo6bo4bobo7b6o33bo73b6o7bobo4bo6bob3o3bo$9bo3bo4bo
4b3o3bo2bo8b4o34bo74b4o8bo2bo3b3o4bo4bo3bo$9bo5bo4bob3o3b2o49bo89b2o3b
3obo4bo5bo$9b3o3b5o3b2o55bo93b2o3b5o3b3o$24b8o135b8o$9b3o3b5o5bobo4bo
13bo69bo35bo13bo4bobo5b5o3b3o$9bo5bo4bo7b3o12b4o68b3o34b4o12b3o7bo4bo
5bo$9bo3bo4bo9bo3bo10b2o69b2obo36b2o10bo3bo9bo4bo3bo$10bo3b3obo11b3o8b
o72b3o40bo8b3o11bob3o3bo$11b2o7bo9b4o7b6o11bobo53b3o21bobo11b6o7b4o9bo
7b2o$14b6o13bo4bobo16bo2bo53b3o21bo2bo16bobo4bo13b6o$15bo21b6obobo9b2o
57b2o24b2o9bobob6o21bo$16b2o18b2o5b2obo8bo3bo79bo3bo8bob2o5b2o18b2o$
17bo2bo14b2o4b2o11b3obo81bob3o11b2o4b2o14bo2bo$18bobo15b2o4b5o4b2o93b
2o4b5o4b2o15bobo$50bo3b5o81b5o3bo$36b2o4b5o2bo3bo91bo3bo2b5o4b2o$35b2o
4b2o6bo5b2o85b2o5bo6b2o4b2o$36b2o5b2obo2bo2bo2b4o81b4o2bo2bo2bob2o5b2o
$37b6obobo3bobo5bo7b6o55b6o7bo5bobo3bobob6o$38bobo25bo5bo53bo5bo25bobo
$41b6o2b3o14bo65bo14b3o2b6o$41bo7b2o16bo63bo16b2o7bo$43b2o4b2o5b5o77b
5o5b2o4b2o$43b4o2b2o5bo4bo75bo4bo5b2o2b4o$46bo2b2o5bo85bo5b2o2bo$49bo
7bo83bo7bo$35bobob2o5bo2b3o95b3o2bo5b2obobo$34bo2bo5b4o2bo99bo2b4o5bo
2bo$33b2o5b2o2b2o3b2o97b2o3b2o2b2o5b2o$32bo4b3o6bo2b2o97b2o2bo6b3o4bo$
31b6ob2o3b4o2b2o3bo89bo3b2o2b4o3b2ob6o$36b2obob2o2bo3b2o3b2o87b2o3b2o
3bo2b2obob2o$29bob3obo3bob4obo2b2o97b2o2bob4obo3bob3obo$28b2o2b2obo8bo
bo2b2o97b2o2bobo8bob2o2b2o$28bobo18b2o97b2o18bobo$28b2o19b3o95b3o19b2o
$28bo7bo41b6o31b6o41bo7bo$27b3o3b4o13bobo5bo19bo5bo29bo5bo19bo5bobo13b
4o3b3o$27bo5b2o14bo2bo2b4o19bo41bo19b4o2bo2bo14b2o5bo$27bo3bo17bo5b2o
22bo39bo22b2o5bo17bo3bo$28bo3b5o12bo3bo91bo3bo12b5o3bo$29b2o19bo3b5o
81b5o3bo19b2o$32b3obo14b2o93b2o14bob3o$33bo3bo16b3obo27b2o23b2o27bob3o
16bo3bo$34b2o19bo3bo26bobo21bobo26bo3bo19b2o$35bo2bo17b2o28bo25bo28b2o
17bo2bo$36bobo18bo2bo77bo2bo18bobo$58bobo77bobo$28bobo16bobo99bobo16bo
bo$25bobo2bo15bo2bo99bo2bo15bo2bobo$24bo2bo17b2o32b2o37b2o32b2o17bo2bo
$23b2o4bo14bo3bo30bobo35bobo30bo3bo14bo4b2o$22bo6bo2bo10b3obo7b2o22bo
39bo22b2o7bob3o10bo2bo6bo$21b4o4bo2bo7b2o12b2ob4o77b4ob2o12b2o7bo2bo4b
4o$20bo4bo4bo3bo4bo3b5o7b6o77b6o7b5o3bo4bo3bo4bo4bo$20bo2bo7b3o4bo3bo
13b4o79b4o13bo3bo4b3o7bo2bo$20bo2bo8bo5bo5b2o107b2o5bo5bo8bo2bo$21bo
11b3o2b3o2bo28b2o51b2o28bo2b3o2b3o11bo$22b4obo6bo8bo28bobo49bobo28bo8b
o6bob4o$23bo3bo7b5obobo2bo25bo53bo25bo2bobob5o7bo3bo$24bo11bo4bobo2bo
2bo99bo2bo2bobo4bo11bo$24bobo10b2o4bo2bobo101bobo2bo4b2o10bobo$38bo2bo
bo2bobo101bobo2bobo2bo$23b3o13bobobo2bobo101bobo2bobobo13b3o$23b2o18bo
2bo2bo15b2o65b2o15bo2bo2bo18b2o$23b2o18bo2bo18bobo63bobo18bo2bo18b2o$
23b3o13bobobo21bo67bo21bobobo13b3o$38bo2bobo111bobo2bo$24bobo10b2o4b2o
109b2o4b2o10bobo$24bo11bo4bobo2bo105bo2bobo4bo11bo$23bo3bo7b5obobo2bo
105bo2bobob5o7bo3bo$22b4obo6bo8bo14b4o75b4o14bo8bo6bob4o$21bo11b3o2b3o
2bo14bo3bo73bo3bo14bo2b3o2b3o11bo$20bo2bo8bo5bo5b2o12bo81bo12b2o5bo5bo
8bo2bo$20bo2bo7b3o4bo3bo16bo7b4o57b4o7bo16bo3bo4b3o7bo2bo$20bo4bo4bo3b
o4bo3b5o18b6o55b6o18b5o3bo4bo3bo4bo4bo$21b4o4bo2bo7b2o23b2ob4o55b4ob2o
23b2o7bo2bo4b4o$22bo6bo2bo10b3obo18b2o63b2o18bob3o10bo2bo6bo$23b2o4bo
14bo3bo101bo3bo14bo4b2o$24bo2bo17b2o105b2o17bo2bo$25bobo2bo15bo2bo99bo
2bo15bo2bobo$28bobo16bobo99bobo16bobo!

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Moosey
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Re: Mountain range patterns

Post by Moosey » March 7th, 2019, 7:38 pm

similar, but it breaks after a million gens:

Code: Select all

x = 125, y = 160, rule = B3/S23
80bo13bo$79b3o11b3o$79bob2o4bo5bob2o$80b3o3b3o5b3o$80b2o3b2o2bo4b2o$
85bo3bo$85bob2o$85b2o2$79b3o$78bo2bo11b3o$81bo11bo2bo$81bo11bo$80bo12b
o$86bo6bo$85bob2o5bo$85bo2bo2$85bo5b2o$84bobo4bo$87bo12$77b3o$77bo2bo$
77bo$77bo$77bo$78bo56$42bo13bo$41b3o11b3o$40b2obo5bo4b2obo$40b3o5b3o3b
3o$41b2o4bo2b2o3b2o$47bo3bo$48b2obo$50b2o2$55b3o$33b3o5b3o11bo2bo30b3o
$32b5o3bo2bo11bo32b5o$31b2ob3o6bo11bo32b3ob2o$4o5b2o21b2o9bo12bo34b2o
21b2o5b4o$o3bo3b2ob2o30bo6bo61b2ob2o3bo3bo$o8b4o29bo5b2obo60b4o8bo$bo
8b2o36bo2bo61b2o8bo2$13bo30b2o5bo59bo$3b2o8b2o12bo17bo4bobo44bo12b2o8b
2o$2bo2bo9bo12b2o19bo45b2o12bo9bo2bo$2bo2bo4b5o12b2o67b2o12b5o4bo2bo$
2b2ob2o3b4o97b4o3b2ob2o$4b2o4bo103bo4b2o3$11b3o97b3o$4o6b5o95b5o6b4o$o
3bo4b2ob3o95b3ob2o4bo3bo$o9b2o25b2o47b2o25b2o9bo$bo34b4o45b4o34bo$19b
2o14b2ob2o45b2ob2o14b2o$18b4o14b2o19b3o27b2o14b4o$17b2ob2o34bo2bo43b2o
b2o$18b2o39bo45b2o$59bo$59bo$23bo34bo42bo$21b4o75b4o$20bob5o71b5obo$
19b2o6bo27b2o11b2o27bo6b2o$20b3obo3bo25b2ob3o5b3ob2o25bo3bob3o$21b3o3b
o27b5o5b5o27bo3b3o$26bo29b3o7b3o29bo2$19b2o20b3o37b3o20b2o$18b4o4b4o
11bo41bo11b4o4b4o$17b2ob2o4bo3bo11bo39bo11bo3bo4b2ob2o$2b4o5b2o5b2o6bo
71bo6b2o5b2o5b4o$2bo3bo3b2ob2o12bo69bo12b2ob2o3bo3bo$2bo8b4o21b3o47b3o
21b4o8bo$3bo8b2o22bo51bo22b2o8bo$37bo49bo2$5bo6bo99bo6bo$4bo7b2o17b3o
57b3o17b2o7bo$4bo6b2o18bo61bo18b2o6bo$4b2o4b2o20bo59bo20b2o4b2o$6bo
111bo$8b2o105b2o$26b3o67b3o$26bo71bo$2b4o21bo69bo21b4o$2bo3bo13bo83bo
13bo3bo$2bo16bo85bo16bo$3bo15bo3bo77bo3bo15bo$19b4o79b4o!
Last edited by Moosey on March 7th, 2019, 8:35 pm, edited 1 time in total.
not active here but active on discord

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Hdjensofjfnen
Posts: 1742
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Re: Mountain range patterns

Post by Hdjensofjfnen » March 7th, 2019, 7:53 pm

Do broken lines follow any pattern at all? (mathematically)

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Moosey
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Re: Mountain range patterns

Post by Moosey » March 7th, 2019, 8:42 pm

Here's one that looks like it works. Does it generate a sequence with its output gliders?

Code: Select all

x = 125, y = 159, rule = B3/S23
80b3o11b3o$80bo2bo10bo2bo$80bo6b3o4bo$80bo5bo2bo4bo$81bobo2bo3bo4bobo$
85b2obobo$85b2ob2o$86b3o$81bo$80b3o12bo$80bob2o10b3o$81b3o9b2obo$81b2o
10b3o$93b3o$87b2o5b2o$86bob2o$87b3o2$86bo5b2o$86b2o4b2o12$79bo$78b3o$
77b2obo$77b3o$77b3o$78b2o56$42bo13bo$41b3o11b3o$40b2obo5bo4b2obo$40b3o
5b3o3b3o$41b2o4bo2b2o3b2o$47bo3bo$48b2obo$50b2o2$55b3o$33b3o5b3o11bo2b
o30b3o$32b5o3bo2bo11bo32b5o$31b2ob3o6bo11bo32b3ob2o$4o5b2o21b2o9bo12bo
34b2o21b2o5b4o$o3bo3b2ob2o30bo6bo61b2ob2o3bo3bo$o8b4o29bo5b2obo60b4o8b
o$bo8b2o36bo2bo61b2o8bo2$13bo30b2o5bo59bo$3b2o8b2o12bo17bo4bobo44bo12b
2o8b2o$2bo2bo9bo12b2o19bo45b2o12bo9bo2bo$2bo2bo4b5o12b2o67b2o12b5o4bo
2bo$2b2ob2o3b4o97b4o3b2ob2o$4b2o4bo103bo4b2o3$11b3o97b3o$4o6b5o95b5o6b
4o$o3bo4b2ob3o95b3ob2o4bo3bo$o9b2o25b2o47b2o25b2o9bo$bo34b4o45b4o34bo$
19b2o14b2ob2o45b2ob2o14b2o$18b4o14b2o19b3o27b2o14b4o$17b2ob2o34bo2bo
43b2ob2o$18b2o39bo45b2o$59bo$59bo$23bo34bo42bo$21b4o75b4o$20bob5o71b5o
bo$19b2o6bo27b2o11b2o27bo6b2o$20b3obo3bo25b2ob3o5b3ob2o25bo3bob3o$21b
3o3bo27b5o5b5o27bo3b3o$26bo29b3o7b3o29bo2$19b2o20b3o37b3o20b2o$18b4o4b
4o11bo41bo11b4o4b4o$17b2ob2o4bo3bo11bo39bo11bo3bo4b2ob2o$2b4o5b2o5b2o
6bo71bo6b2o5b2o5b4o$2bo3bo3b2ob2o12bo69bo12b2ob2o3bo3bo$2bo8b4o21b3o
47b3o21b4o8bo$3bo8b2o22bo51bo22b2o8bo$37bo49bo2$5bo6bo99bo6bo$4bo7b2o
17b3o57b3o17b2o7bo$4bo6b2o18bo61bo18b2o6bo$4b2o4b2o20bo59bo20b2o4b2o$
6bo111bo$8b2o105b2o$26b3o67b3o$26bo71bo$2b4o21bo69bo21b4o$2bo3bo13bo
83bo13bo3bo$2bo16bo85bo16bo$3bo15bo3bo77bo3bo15bo$19b4o79b4o!
not active here but active on discord

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77topaz
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Re: Mountain range patterns

Post by 77topaz » March 8th, 2019, 12:52 am

Is it possible to arrange the rakes to have there be more than one kickback reaction (i.e. so that the kickbacked gliders from NW create another kickback glider at the "13N" collision)?

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Mr. T
Posts: 558
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Re: Mountain range patterns

Post by Mr. T » March 8th, 2019, 4:22 am

At that post i added a north moving rake on each side.

Code: Select all

x = 125, y = 208, rule = B3/S23
64b3o11b3o$63bo2bo10bo2bo$66bo4b3o6bo$66bo4bo2bo5bo$65bo4bo3bo4bo$69bo
bo2b2o$73bo$69bob2o$65bo4b3o$64b3o3b3o6bo$63b2obo11b3o$63b3o12bob2o$
64b2o13b3o$79b3o$72bo6b2o$71b2o$70bo2bo$70b2o$41bo13bo$40b3o11b3o$39b
2obo5bo4b2obo$39b3o5b3o3b3o$40b2o4bo2b2o3b2o$46bo3bo$47b2obo$49b2o2$
54b3o$40b3o11bo2bo$39bo2bo11bo$42bo11bo$42bo12bobo5bo$42bo6bo12b3o$41b
o5b2obo11bob2o$47bo2bo12b3o$63b3o$50bo12b2o$49bobo$48bo12$56b3o$55bo2b
o$58bo$58bo$58bo$57bo67$63b3o11b3o$62bo2bo10bo2bo$65bo4b3o6bo$65bo4bo
2bo5bo$64bo4bo3bo4bo$68bobo2b2o$72bo$68bob2o$64bo4b3o$63b3o3b3o6bo$62b
2obo11b3o$62b3o12bob2o$63b2o13b3o$78b3o$71bo6b2o$70b2o$69bo2bo$69b2o2$
42bo13bo$41b3o11b3o$40b2obo5bo4b2obo$40b3o5b3o3b3o$41b2o4bo2b2o3b2o$
47bo3bo$48b2obo$50b2o2$55b3o$33b3o5b3o11bo2bo30b3o$32b5o3bo2bo11bo32b
5o$31b2ob3o6bo11bo6bo25b3ob2o$4o5b2o21b2o9bo12bobo2b3o27b2o21b2o5b4o$o
3bo3b2ob2o30bo6bo10bob2o47b2ob2o3bo3bo$o8b4o29bo5b2obo10b3o47b4o8bo$bo
8b2o36bo2bo10b3o48b2o8bo$62b2o$13bo37bo59bo$3b2o8b2o12bo22bobo44bo12b
2o8b2o$2bo2bo9bo12b2o19bo45b2o12bo9bo2bo$2bo2bo4b5o12b2o67b2o12b5o4bo
2bo$2b2ob2o3b4o97b4o3b2ob2o$4b2o4bo103bo4b2o3$11b3o97b3o$4o6b5o95b5o6b
4o$o3bo4b2ob3o95b3ob2o4bo3bo$o9b2o25b2o47b2o25b2o9bo$bo34b4o45b4o34bo$
19b2o14b2ob2o45b2ob2o14b2o$18  b4o14b2o19b3o27b2o14b4o$17b2ob2o34bo2bo
43b2ob2o$18b2o39bo45b2o$59bo$59bo$23bo34bo42bo$21b4o75b4o$20bob5o71b5o
bo$19b2o6bo27b2o11b2o27bo6b2o$20b3obo3bo25b2ob3o5b3ob2o25bo3bob3o$21b
3o3bo27b5o5b5o27bo3b3o$26bo29b3o3bo3b3o29bo$61bobo$19b2o20b3o18bo18b3o
20b2o$18b4o4b4o11bo41bo11b4o4b4o$17b2ob2o4bo3bo11bo39bo11bo3bo4b2ob2o$
2b4o5b2o5b2o6bo71bo6b2o5b2o5b4o$2bo3bo3b2ob2o12bo69bo12b2ob2o3bo3bo$2b
o8b4o21b3o47b3o21b4o8bo$3bo8b2o22bo51bo22b2o8bo$37bo49bo2$5bo6bo99bo6b
o$4bo7b2o17b3o57b3o17b2o7bo$4bo6b2o18bo61bo18b2o6bo$4b2o4b2o20bo59bo
20b2o4b2o$6bo111bo$8b2o105b2o$26b3o67b3o$26bo71bo$2b4o21bo69bo21b4o$2b
o3bo13bo83bo13bo3bo$2bo16bo85bo16bo$3bo15bo3bo77bo3bo15bo$19b4o79b4o!
You can mirror this:

Code: Select all

x = 383, y = 521, rule = B3/S23
44b3o11b3o$44bo2bo10bo2bo$44bo6b3o4bo$44bo5bo2bo4bo$45bo4bo3bo4bo$49b
2o2bobo$51bo$52b2obo$52b3o4bo$45bo6b3o3b3o$44b3o11bob2o$43b2obo12b3o$
43b3o13b2o$43b3o$44b2o6bo$52b2o$51bo2bo$53b2o$69bo13bo$68b3o11b3o$68bo
b2o4bo5bob2o$69b3o3b3o5b3o$69b2o3b2o2bo4b2o$74bo3bo$74bob2o$74b2o2$68b
3o$67bo2bo11b3o$70bo11bo2bo$70bo11bo$61bo5bobo12bo$60b3o12bo6bo$59b2ob
o11bob2o5bo$59b3o12bo2bo$59b3o$60b2o12bo$73bobo$76bo12$66b3o$66bo2bo$
66bo$66bo$66bo$67bo67$45b3o11b3o$45bo2bo10bo2bo$45bo6b3o4bo$45bo5bo2bo
4bo$46bo4bo3bo4bo$50b2o2bobo$52bo$53b2obo$53b3o4bo$46bo6b3o3b3o$45b3o
11bob2o$44b2obo12b3o$44b3o13b2o$44b3o$45b2o6bo$53b2o$52bo2bo$54b2o2$
68bo13bo$67b3o11b3o$67bob2o4bo5bob2o$68b3o3b3o5b3o$68b2o3b2o2bo4b2o$
73bo3bo$73bob2o$73b2o2$67b3o$33b3o30bo2bo11b3o5b3o$32b5o32bo11bo2bo3b
5o$31b2ob3o25bo6bo11bo6b3ob2o$4o5b2o21b2o27b3o2bobo12bo9b2o21b2o5b4o$o
3bo3b2ob2o47b2obo10bo6bo30b2ob2o3bo3bo$o8b4o47b3o10bob2o5bo29b4o8bo$bo
8b2o48b3o10bo2bo36b2o8bo$61b2o$13bo59bo37bo$3b2o8b2o12bo44bobo22bo12b
2o8b2o$2bo2bo9bo12b2o45bo19b2o12bo9bo2bo$2bo2bo4b5o12b2o67b2o12b5o4bo
2bo$2b2ob2o3b4o97b4o3b2ob2o$4b2o4bo103bo4b2o3$11b3o97b3o$4o6b5o95b5o6b
4o$o3bo4b2ob3o95b3ob2o4bo3bo$o9b2o25b2o47b2o25b2o9bo$bo34b4o45b4o34bo$
19b2o14b2ob2o45b2ob2o14b2o$18b4o14b2o27b3o19b2o14b4o$17b2ob2o43bo2bo
34b2ob2o$18b2o45bo39b2o$65bo$65bo$23bo42bo34bo$21b4o75b4o$20bob5o71b5o
bo$19b2o6bo27b2o11b2o27bo6b2o$20b3obo3bo25b2ob3o5b3ob2o25bo3bob3o$21b
3o3bo27b5o5b5o27bo3b3o$26bo29b3o3bo3b3o29bo$61bobo$19b2o20b3o18bo18b3o
20b2o$18b4o4b4o11bo41bo11b4o4b4o$17b2ob2o4bo3bo11bo39bo11bo3bo4b2ob2o$
2b4o5b2o5b2o6bo71bo6b2o5b2o5b4o$2bo3bo3b2ob2o12bo69bo12b2ob2o3bo3bo$2b
o8b4o21b3o47b3o21b4o8bo$3bo8b2o22bo51bo22b2o8bo$37bo49bo2$5bo6bo99bo6b
o$4bo7b2o17b3o57b3o17b2o7bo$4bo6b2o18bo61bo18b2o6bo$4b2o4b2o20bo59bo
20b2o4b2o$6bo111bo$8b2o105b2o$26b3o67b3o$26bo71bo$2b4o21bo69bo21b4o$2b
o3bo13bo83bo13bo3bo$2bo16bo85bo16bo$3bo15bo3bo77bo3bo15bo$19b4o79b4o
105$277b4o79b4o$261bo15bo3bo77bo3bo15bo$260bo16bo85bo16bo$260bo3bo13bo
83bo13bo3bo$260b4o21bo69bo21b4o$284bo71bo$284b3o67b3o$266b2o105b2o$
264bo111bo$262b2o4b2o20bo59bo20b2o4b2o$262bo6b2o18bo61bo18b2o6bo$262bo
7b2o17b3o57b3o17b2o7bo$263bo6bo99bo6bo2$295bo49bo$261bo8b2o22bo51bo22b
2o8bo$260bo8b4o21b3o47b3o21b4o8bo$260bo3bo3b2ob2o12bo69bo12b2ob2o3bo3b
o$260b4o5b2o5b2o6bo71bo6b2o5b2o5b4o$275b2ob2o4bo3bo11bo39bo11bo3bo4b2o
b2o$276b4o4b4o11bo41bo11b4o4b4o$277b2o20b3o18bo18b3o20b2o$319bobo$284b
o29b3o3bo3b3o29bo$279b3o3bo27b5o5b5o27bo3b3o$278b3obo3bo25b2ob3o5b3ob
2o25bo3bob3o$277b2o6bo27b2o11b2o27bo6b2o$278bob5o71b5obo$279b4o75b4o$
281bo34bo42bo$317bo$317bo$276b2o39bo45b2o$275b2ob2o34bo2bo43b2ob2o$
276b4o14b2o19b3o27b2o14b4o$277b2o14b2ob2o45b2ob2o14b2o$259bo34b4o45b4o
34bo$258bo9b2o25b2o47b2o25b2o9bo$258bo3bo4b2ob3o95b3ob2o4bo3bo$258b4o
6b5o95b5o6b4o$269b3o97b3o3$262b2o4bo103bo4b2o$260b2ob2o3b4o97b4o3b2ob
2o$260bo2bo4b5o12b2o67b2o12b5o4bo2bo$260bo2bo9bo12b2o19bo45b2o12bo9bo
2bo$261b2o8b2o12bo22bobo44bo12b2o8b2o$271bo37bo59bo$320b2o$259bo8b2o
36bo2bo10b3o48b2o8bo$258bo8b4o29bo5b2obo10b3o47b4o8bo$258bo3bo3b2ob2o
30bo6bo10bob2o47b2ob2o3bo3bo$258b4o5b2o21b2o9bo12bobo2b3o27b2o21b2o5b
4o$289b2ob3o6bo11bo6bo25b3ob2o$290b5o3bo2bo11bo32b5o$291b3o5b3o11bo2bo
30b3o$313b3o2$308b2o$306b2obo$305bo3bo$299b2o4bo2b2o3b2o$298b3o5b3o3b
3o$298b2obo5bo4b2obo$299b3o11b3o$300bo13bo2$327b2o$327bo2bo$328b2o$
329bo6b2o$336b3o$321b2o13b3o$320b3o12bob2o$320b2obo11b3o$321b3o3b3o6bo
$322bo4b3o$326bob2o$330bo$326bobo2b2o$322bo4bo3bo4bo$323bo4bo2bo5bo$
323bo4b3o6bo$320bo2bo10bo2bo$321b3o11b3o67$315bo$316bo$316bo$316bo$
313bo2bo$314b3o12$306bo$307bobo$308bo$319b2o$305bo2bo10b3o$299bo5b2obo
10b3o$300bo6bo10bob2o$300bo12bobo2b3o$300bo11bo6bo$297bo2bo11bo$298b3o
11bo2bo$312b3o2$307b2o$305b2obo$304bo3bo$298b2o4bo2b2o3b2o$297b3o5b3o
3b3o$297b2obo5bo4b2obo$298b3o11b3o$299bo13bo2$326b2o$326bo2bo$327b2o$
328bo6b2o$335b3o$320b2o13b3o$319b3o12bob2o$319b2obo11b3o$320b3o3b3o6bo
$321bo4b3o$325bob2o$329bo$325bobo2b2o$321bo4bo3bo4bo$322bo4bo2bo5bo$
322bo4b3o6bo$319bo2bo10bo2bo$320b3o11b3o!
Christoph Reinthaler (Who has this weird c/10-fetish)

Dean Hickerson
Posts: 103
Joined: December 19th, 2015, 1:15 pm

Re: Mountain range patterns

Post by Dean Hickerson » March 8th, 2019, 8:44 am

christoph r. wrote:At that post i added a north moving rake on each side.
christoph r.: The first pattern in your post in this thread is broken, but the one in your 2016 post works fine. (P.S.: The problem is a couple of spaces in the middle of a line in the RLE. Curiously, the forum's pattern viewer can read it, but Golly can't.)

These are lovely! It looks like each successive large mountain is about 10 times as large as the previous one. That's a fairly common expansion factor for witch's hat patterns. Here's a boring example that definitely has e.f. 10:

Code: Select all

#CXRLE Pos=-97,-36
# p24 puffers create sparse debris along the negative x-axis and the line y=3x/2,
# with expansion factor 10.
x = 219, y = 73, rule = B3/S23
75b3o3b3o25b3o3b3o$74bo2bo3bo2bo23bo2bo3bo2bo$77bo3bo29bo3bo$77bo3bo
29bo3bo$76bo5bo27bo5bo2$78b3o31b3o$78b3o31b3o$78bobo30bobobo$79bo$79bo
2$72bo13b3o15b3o3b2o3b2o3bo$71b3o3bo3bo4bo2bo13bo2bo4b2ob2o3b3o$71bob
2o2b2ob2o4bo19bo4b2ob2o2b2obo$72b3o3bobobo3bo19bo6bo4b3o$72b3o11bo19bo
11b3o$72b3o3b2o6bo19bo11b3o$72b2o4b2o7bo17bo13b2o$34b2o43bo103b2o$33b
2ob4o139b4ob2o$34b6o139b6o$35b4o141b4o2$22b2o171b2o$21b2ob2o167b2ob2o$
22b4o3bo9bo139bo9bo3b4o$23b2o3bo11bo137bo11bo3b2o$27bo2bo7b3o137b3o7bo
2bo$23b2o3bo161bo3b2o$22b4o3bo159bo3b4o$21b2ob2o167b2ob2o$22b2o33bo
103bo33b2o$35bo22bo101bo22bo$34bo21b3o82bo18b3o21bo$34bo5bo99bo37bo5bo
$34b6o100bo3bo34b6o$52b2o86b4o21b2o$53b2o109b2o$52bo113bo2$13b2o40bo
107bo40b2o$12b2ob4o35b2o107b2o35b4ob2o$13b6o15b2o18bobo105bobo18b2o15b
6o$bo12b4o17b2o145b2o17b4o12bo$o33bo149bo33bo$o3bo209bo3bo$4o4bo40bo
119bo40bo4b4o$6b2o40b2o119b2o40b2o$6b3o7b2o17b4o9bobo117bobo9b4o17b2o
7b3o$6b2o9b2o16bo3bo139bo3bo16b2o9b2o$4o4bo7bo18bo147bo18bo7bo4b4o$o3b
o31bo145bo31bo3bo$o42bo131bo42bo$bo22b2o16b2o131b2o16b2o22bo$23b4o15bo
bo129bobo15b4o$12b6o4b2ob2o165b2ob2o4b6o$12bo5bo4b2o5b2ob3o147b3ob2o5b
2o4bo5bo$12bo16bo5b2o145b2o5bo16bo$13bo14b2o7bo143bo7b2o14bo$29bo5b2o
145b2o5bo$23b2o5b2ob3o147b3ob2o5b2o$22b2ob2o165b2ob2o$23b4o165b4o$24b
2o167b2o2$31b6o145b6o$31bo5bo143bo5bo$31bo155bo$32bo9bo133bo9bo$41bo
135bo$41bo3bo127bo3bo$41b4o129b4o!
And a more interesting example that may have e.f. 10:

Code: Select all

#CXRLE Pos=-80,-26
# p32 and p16 rakes create weird debris, possibly with expansion factor 10.
x = 129, y = 64, rule = B3/S23
85bo$84b3o3b3o$83b2obo2bo2bo$83b3o6bo$83b3o2bo3bo$83b3o2bo2bo$60bo4b3o
16bobo$59b3o3bo2bo16b2o$58b2obo3bo28bo$58b3o4bo3bo23b3o$59b2o4bo3bo8b
3o11b2obo$64b2o11bo2bo11b3o$64b2o14bo11b3o$64b2ob2o11bo11b3o$56b3o5bo
2b2o11bo12b2o$56bo2bo3b2ob2o4bo7bo19bo$56bo7bobo4b3o5bo19b3o$56bo8bo4b
2obo25bob2o$56bo13b3o27b3o$56bo13b3o27b2o$57bo12b3o$50b3o18b2o$49bo2bo
8b2o$52bo8b2o$23b5o12bo11bo48b5o$23bo4bo12bo9bo48bo4bo$23bo13bo3bo63bo
$24bo13b4o62bo2$13bo5b2o87b2o5bo$12bo6b3o85b3o6bo$12bo8b2o83b2o8bo$12b
8o3bo81bo3b8o$17b6o22bo60b6o$21bo5bobo14bobo52bobo5bo$27bo2bo13bobo51b
o2bo$13b2o11bo2bo15bo53bo2bo11b2o$12b2ob2o12bo69bo12b2ob2o$13b4o5bo5bo
71bo5bo5b4o$14b2o5bo85bo5b2o$21bo4bo26bo21bo26bo4bo$7bo13b5o26bo23bo
26b5o13bo$6bo45bo5bo11bo5bo45bo$6bo5bo26b2o11b6o13b6o11b2o26bo5bo$6b6o
26b2ob2o43b2ob2o26b6o$39b4o43b4o$26b3o11b2o45b2o11b3o$26bo19b4o29b4o
19bo$2b4o21bo17b7o25b7o17bo21b4o$b9o34b2ob3ob3o4b2o9b2o4b3ob3ob2o34b9o
$2ob3obo2bo7b2o25b2o3b2obo2bo2bo9bo2bo2bob2o3b2o25b2o7bo2bob3ob2o$b2o
3b2o3bo5b3o36b2o13b2o36b3o5bo3b2o3b2o$8b3o5b2o2bo27b2o29b2o27bo2b2o5b
3o$4b2o11b3o26bo35bo26b3o11b2o$2bo15bo26bo37bo26bo15bo$bo43bo3bo29bo3b
o43bo$bo3bo28bo10b4o31b4o10bo28bo3bo$b4o9b3o16bo24b5o3b5o24bo16b3o9b4o
$13b5o15bo4bo19bo4bobo4bo19bo4bo15b5o$12b2ob3o15b5o20bo11bo20b5o15b3ob
2o$13b2o10bo33bo9bo33bo10b2o$24bo79bo$24bo5bo67bo5bo$24b6o69b6o!
Last edited by Dean Hickerson on March 8th, 2019, 12:45 pm, edited 1 time in total.

Dean Hickerson
Posts: 103
Joined: December 19th, 2015, 1:15 pm

Re: Mountain range patterns

Post by Dean Hickerson » March 8th, 2019, 9:13 am

Moosey wrote:Here's one that looks like it works. Does it generate a sequence with its output gliders?
With a few assumptions and a messy calculation, it should be possible to determine the slopes of the glider lines, the densities of LWSSs that get past W and E, and the speed at which the collision point C moves to the west. I doubt that there's any way to predict the exact sequence of output gliders.

Your first example, that breaks after a million gens, illustrates a frequent problem with witch's hat patterns: Sometimes they look pretty tame for a while, but eventually some reaction occurs which sends a glider toward the LWSSs, where it creates some debris. After that the eastward and westward LWSSs run into the debris instead of each other, releasing gliders that cause more bad reactions, and the whole thing turns into an ugly mess. Here's one that runs for about 135 million gens before a complicated reaction occurs at NW; the LWSSs get messed up around gen 203 million:

Code: Select all

#CXRLE Pos=-62,-43
# p16 puffers create a big mess around gen 203 million.
x = 125, y = 79, rule = B3/S23
56bo4b3o$55b3o3bo2bo$54b2obo3bo$54b3o4bo$55b2o4bo$60b2o$60b2o$61bobo
18b3o4bo$52b3o26bo2bo3b3o$52bo2bo5b2o5bo15bo3bob2o$52bo14b3o14bo4b3o$
52bo13b2obo14bo4b2o$52bo13b3o15b2o$52bo5b2o6b3o15b2o$53bo5bo6b3o13bobo
$67b2o22b3o$77bo5b2o5bo2bo$76b3o14bo$76bob2o13bo$77b3o13bo$77b3o6b2o5b
o$77b3o6bo5bo$12b6o59b2o28b6o$12bo5bo87bo5bo$12bo99bo$13bo97bo2$10bobo
99bobo$3b2o5bo2bo97bo2bo5b2o$2b2ob4o3b2o97b2o3b4ob2o$3b5o6bo10bo73bo
10bo6b5o$4b3o5b2o12bo71bo12b2o5b3o$9b2ob2o10b3o71b3o10b2ob2o2$3b4o30bo
49bo30b4o$3bo3bo30bo47bo30bo3bo$3bo32b3o47b3o32bo$4bo6b2o99b2o6bo$10b
2ob4o32bo25bo32b4ob2o$11b6o33bo23bo33b6o$12b4o9b6o17b3o23b3o17b6o9b4o$
25bo5bo28bo3bo28bo5bo$19b2o4bo35bobo35bo4b2o$18b4o4bo30bo3bobo3bo30bo
4b4o$17b2ob2o36b4ob4o36b2ob2o$18b2o24b2o33b2o24b2o$45b2o31b2o$44bo35bo
$22b2o77b2o$17b8o7b2o15bo25bo15b2o7b8o$17bo6bo8b2o13b2o25b2o13b2o8bo6b
o$17bo14bo15bobo23bobo15bo14bo$18bo87bo$45bo33bo$28b4o12b2o33b2o12b4o$
27b6o11bobo31bobo11b6o$26b2ob4o59b4ob2o$27b2o12bo41bo12b2o$40b2o41b2o$
11b4o25bobo39bobo25b4o$10b6o93b6o$9b2ob4o6b4o11bo49bo11b4o6b4ob2o$10b
2o9b6o9b2o49b2o9b6o9b2o$20b2ob4o9bobo47bobo9b4ob2o$21b2o79b2o$33bo57bo
$6o7bobo16b2o57b2o16bobo7b6o$o5bo7b2o16bobo55bobo16b2o7bo5bo$o5bo7bo
95bo7bo5bo$bo3bo23bo65bo23bo3bo$3bo24b2o65b2o24bo$2b2o24bobo63bobo24b
2o$b4o115b4o$2ob2o115b2ob2o$b2o119b2o$8b6o10b2o73b2o10b6o$8bo5bo8b2ob
4o65b4ob2o8bo5bo$8bo15b6o65b6o15bo$9bo15b4o67b4o15bo!

Dean Hickerson
Posts: 103
Joined: December 19th, 2015, 1:15 pm

Re: Mountain range patterns

Post by Dean Hickerson » March 8th, 2019, 9:24 am

77topaz wrote:Is it possible to arrange the rakes to have there be more than one kickback reaction (i.e. so that the kickbacked gliders from NW create another kickback glider at the "13N" collision)?
It can be done, but I don't know if any interesting patterns can be built that way. Here's one that I looked at a while back; unfortunately it blows up around gen 22000:

Code: Select all

#CXRLE Pos=-60,-35
# Failed "mountains" pattern with multiple kickbacks.  Blows up around gen 22000.
x = 121, y = 71, rule = B3/S23
64b3o11b3o$63bo2bo10bo2bo$66bo4b3o6bo$41bo13bo10bo4bo2bo5bo$40b3o11b3o
8bo5bob2o4bo$39b2obo5bo4b2obo$39b3o5b3o3b3o$40b2o4bo2b2o3b2o$46bo3bo
14bo8bo$47b2obo13b3o5bobo4bo$49b2o12b2obo11b3o$63b3o4bo2bo4bob2o$54b3o
7b2o4b3o6b3o$40b3o11bo2bo13bo7b3o$33b3o3bo2bo11bo24b2o4b3o$32b5o5bo11b
o29b5o$31b2ob3o5bo12bo28b3ob2o$4o5b2o21b2o8bo6bo37b2o21b2o5b4o$o3bo3b
2ob2o28bo5b2obo57b2ob2o3bo3bo$o8b4o34bo2bo57b4o8bo$bo8b2o97b2o8bo$50bo
$24bo24bobo44bo$3bo6bo14b2o21bo45b2o14bo6bo$2bo7b2o12b2o69b2o12b2o7bo$
2bo6b2o99b2o6bo$2b2o4b2o101b2o4b2o$4bo111bo$6b2o105b2o2$11b3o93b3o$4o
6b5o91b5o6b4o$o3bo4b2ob3o91b3ob2o4bo3bo$o9b2o25b2o43b2o25b2o9bo$bo34b
4o41b4o34bo$19b2o14b2ob2o16b3o3b3o16b2ob2o14b2o$18b4o14b2o17bo2bo3bo2b
o17b2o14b4o$17b2ob2o36bo3bo36b2ob2o$18b2o38bo3bo38b2o$58bo3bo$57bo5bo
2$21b2o75b2o$20bo2bo73bo2bo$19b2o2bo31b2o7b2o31bo2b2o$20b2o2bo29b2ob3o
b3ob2o29bo2b2o$21b4o30b5ob5o30b4o$56b3o3b3o2$19b2o79b2o$18b4o4b4o10b3o
35b3o10b4o4b4o$17b2ob2o4bo3bo9bo39bo9bo3bo4b2ob2o$2b4o5b2o5b2o6bo14bo
37bo14bo6b2o5b2o5b4o$2bo3bo3b2ob2o12bo65bo12b2ob2o3bo3bo$2bo8b4o91b4o
8bo$3bo2bo5b2o21b3o45b3o21b2o5bo2bo$35bo49bo$7b2o27bo47bo27b2o$5b5o
101b5o$4bo4bo101bo4bo$4bo2b3o20b3o55b3o20b3o2bo$4b2o2bo21bo59bo21bo2b
2o$6b2o23bo57bo23b2o3$25b3o65b3o$2b4o19bo69bo19b4o$2bo3bo13bo5bo67bo5b
o13bo3bo$2bo16bo81bo16bo$3bo15bo3bo73bo3bo15bo$19b4o75b4o!

User avatar
Mr. T
Posts: 558
Joined: March 24th, 2016, 2:55 pm
Location: Germany

Re: Mountain range patterns

Post by Mr. T » March 8th, 2019, 1:28 pm

I had always a lot of fun with this construction. Eliminating all "normal" Spaceships that come into the "arena" between the rakes makes spaceship collision dancing between both ends. What i especially like is the self-similiarity. If you compare the last peak before each breakdown, the form of the mountain is similar. I use the 2-rake-method to eliminate the spaceships to get a better fine-tuning of the glider-collisions. Each rake can be adjusted individual to get some effect. I apologize for the broken thread, but i will leave it as a bad example. It is like riding on a razor blade. One glider added or taken away at the start position can lead to a mess. I don't know the mathematics, but i think the possibility of bad collision decrease with each round, but not become null. I named all my tries Wallstreet you know why :wink:

Some other examples:

Code: Select all

x = 577, y = 1146, rule = B3/S23
145bo13bo$144b3o11b3o$144bob2o4bo5bob2o$145b3o3b3o5b3o$145b2o3b2o2bo4b
2o$150bo3bo$150bobo3bo2$151b2ob2o$153bo4b3o$144b3o10bo2bo$144bo2bo12bo
$144bo15bo$144bo3bo8bobo$144bo$145bobo3b3o$154bo$151bobo$152b2o$153b2o
13b3o11b3o$153b2o12bo2bo10bo2bo$170bo4b3o6bo$170bo4bo2bo5bo$167bobo4bo
3bo2bobo$174b4o$175bo2$169bo$168b3o12bo$167b2obo11b3o$167b3o12bob2o$
168b2o13b3o$160b3o20b3o$160bo2bo10b3o6b2o$160bo13b2ob2o$160bo3bo$160bo
$149bo11bobo9b3o$149bobo21b3o$149b2o23b2o$174b4o$175b2o9$167bo$166b3o$
166bob2o$167b3o7bo$167b3o8b2o$167b2o8b2o12$139bo$139bobo$139b2o14$187b
o$188b2o$187b2o12$129bo$129bobo$129b2o14$197bo$198b2o$197b2o7$146bo13b
o$145b3o11b3o$145bob2o4bo5bob2o$146b3o3b3o5b3o$146b2o3b2o2bo4b2o$119bo
31bo3bo$119bobo29bobo3bo$119b2o$152b2ob2o$154bo4b3o$145b3o10bo2bo$145b
o2bo12bo$145bo15bo$145bo3bo8bobo$145bo$146bobo3b3o$155bo$152bobo$153b
2o$154b2o$154b2o11b3o11b3o$166bo2bo10bo2bo23bo$169bo4b3o6bo24b2o$169bo
4bo2bo5bo23b2o$166bobo4bo3bo2bobo$173b4o$174bo2$168bo$167b3o12bo$166b
2obo11b3o$166b3o12bob2o$161b3o3b2o13b3o$161bo2bo17b3o$161bo11b3o6b2o$
109bo51bo3bo7b2ob2o$109bobo49bo$109b2o39bo11bobo$150bobo19b3o$150b2o
20b3o$173b2o$173b4o$174b2o9$166bo50bo$165b3o50b2o$165bob2o48b2o$166b3o
7bo$166b3o8b2o$166b2o8b2o11$140bo$140bobo$140b2o15$186bo$187b2o$186b2o
11$130bo$130bobo$130b2o15$196bo$197b2o$196b2o11$120bo$120bobo$120b2o$
32b5o251b5o$10bo2bo18bo4bo249bo4bo18bo2bo$b2o6bo22bo259bo22bo6b2o$2ob
2o4bo3bo19bo3bo249bo3bo19bo3bo4b2ob2o$b4o4b4o22bo253bo22b4o4b4o$2b2o
317b2o$33b2o255b2o$34bo255bo$4bo7b3o13bo267bo13b3o7bo$3b2o9bo11bobo
267bobo11bo9b2o$2b2obo6b3o12b2o267b2o12b3o6bob2o$3bobo3b3o301b3o3bobo$
4b2o313b2o2$206bo$207b2o$b2o7b5o191b2o102b5o7b2o$2ob2o5bo4bo293bo4bo5b
2ob2o$b4o5bo47bo207bo47bo5b4o$2b2o7bo3bo20b4o13bo2bobo34b4o91b4o36b4o
34bobo2bo13b4o20bo3bo7b2o$13bo22bo3bo12b2o2b2o6bo26bo3bo91bo3bo35bo3bo
26bo6b2o2b2o12bo3bo22bo$18b4o14bo15bobo11bo2bo26bo91bo39bo26bo2bo11bob
o15bo14b4o$18bo3bo14bo2bo51bo2bo93bo2bo36bo2bo51bo2bo14bo3bo$18bo35b2o
12b2o185b2o12b2o35bo$19bo2bo31b2o213b2o31bo2bo$39b3o12b2o213b2o12b3o$
23bo10bobobo3bo239bo3bobobo10bo$21b3o10bo7bo15bo207bo15bo7bo10b3o$20bo
3bo15b2o14bo3bo203bo3bo14b2o15bo3bo$20bo4b3o19b2o6bo213bo6b2o19b3o4bo$
20b2obob3o8bo9b2o7bo4bo203bo4bo7b2o9bo8b3obob2o$22bo3b2o20bo6b5o205b5o
6bo20b2o3bo$23bobo136bo136bobo$161bobo$42b2o118bo118b2o$18b4o5b2o12b2o
239b2o12b2o5b4o$12bo2bo2bo3bo3b2ob2o12bo237bo12b2ob2o3bo3bo2bo2bo$3b2o
6bo6bo8b4o263b4o8bo6bo6b2o$2b2ob2o4bo3bo3bo2bo5b2o265b2o5bo2bo3bo3bo4b
2ob2o$3b4o4b4o22b2o247b2o22b4o4b4o$4b2o30b2o249b2o30b2o$38bo247bo$11bo
301bo$6b3o3bo299bo3b3o$5b3obo3bo18b2o257b2o18bo3bob3o$4b2o6bo18b2o259b
2o18bo6b2o$5bob5o14bo6bo257bo6bo14b5obo$6b4o10bo6bo269bo6bo10b4o$8bo
11bo3b2obo269bob2o3bo11bo$24b3o271b3o$25bo273bo$3b2o315b2o$2b2ob2o14b
2o279b2o14b2ob2o$3b4o13b4o277b4o13b4o$4b2o13b2ob2o277b2ob2o13b2o$20b2o
281b2o528$271b2o281b2o$270b4o279b4o$269b2ob2o279b2ob2o$253b2o15b2o283b
2o15b2o$252b2ob2o313b2ob2o$253b4o18b2o273b2o18b4o$254b2o20bo273bo20b2o
$275bobo271bobo$277bo271bo$256bo3b2o15bo271bo15b2o3bo$255b2o4b3o299b3o
4b2o$254b2o5bo2bo17bobo257bobo17bo2bo5b2o$255b2o7bo17b2o259b2o17bo7b2o
$263b2o18bo259bo18b2o3$262bo2bo21bobo247bobo21bo2bo$253b2o6bo25b2o249b
2o25bo6b2o$252b2ob2o4bo3bo22bo249bo22bo3bo4b2ob2o$253b4o4b4o3b4o5b2o
269b2o5b4o3b4o4b4o$254b2o12bo3bo3b2ob2o265b2ob2o3bo3bo12b2o$268bo8b4o
11bobo101bo135bobo11b4o8bo$269bo2bo5b2o12b2o101b2o16bo119b2o12b2o5bo2b
o$293bo14bo86bobo14bobo103bo14bo$273bo32bo3bo102bo102bo3bo32bo$271bo2b
o3bo26bo215bo26bo3bo2bo$270bo7b2o17bobo5bo4bo205bo4bo5bobo17b2o7bo$
270bo6b2o18b2o6b5o207b5o6b2o18b2o6bo$270b2o4b2o20bo229bo20b2o4b2o$272b
o18bobo239bobo18bo$274b2o14bo2bo239bo2bo14b2o$305b2o213b2o$290b3o11bo
2bo211bo2bo11b3o$268b4o35bo211bo35b4o$268bo3bo31bo217bo31bo3bo$268bo
17b4o17bo37b4o36b4o9b4o76b4o37bo17b4o17bo$269bo2bo13bo3bo15bob3o33bo3b
o35bo3bo9bo3bo75bo3bo33b3obo15bo3bo13bo2bo$286bo17b4o2bo37bo39bo9bo79b
o37bo2b4o17bo$251b2o7b5o22bo2bo18bo34bo2bo36bo2bo11bo2bo76bo2bo34bo18b
o2bo22b5o7b2o$250b2ob2o5bo4bo102bo192bo4bo5b2ob2o$251b4o5bo106b2o197bo
5b4o$252b2o7bo3bo101bobo191bo3bo7b2o$263bo299bo2$254b4o3bobo299bobo3b
4o$253b2o2bo2bo4bo295bo4bo2bo2b2o$252b2o2bo4bo3bo12b3o265b3o12bo3bo4bo
2b2o$253bo2bo5bo3bo13bo265bo13bo3bo5bo2bo$254b2o8b2o13bo267bo13b2o8b2o
$264b2o18b2o255b2o18b2o$286bo253bo$260bo2bo20b2o255b2o20bo2bo$251b2o6b
o307bo6b2o$250b2ob2o4bo3bo299bo3bo4b2ob2o$251b4o4b4o19b5o253b5o19b4o4b
4o$252b2o28bo4bo251bo4bo28b2o$282bo261bo$283bo3bo166b3o82bo3bo$285bo
170bo84bo$455bo10$378bo$377b2o$377bobo16$444b3o$446bo$445bo10$388bo$
387b2o$387bobo16$434b3o$436bo$435bo10$398bo$397b2o$397bobo9b2o$357bo
51b3o$356b2o51b3o$356bobo49bob2o$408b3o$409bo11$424b3o$401b2o23bo$402b
o22bo$413bobo47b3o$399b3o10bo52bo$399b2obo9bo3bo47bo$393b2o5b2o10bo$
393b3o16bo2bo$393b3o10b2o4b3o$392bob2o9b3o$392b3o10b2obo$393bo12b3o$
407bo$400b3o$399b2ob2o$367bo30bobob2o$366b2o23bobo4bo3bo2bobo$366bobo
25bo4bo2bo5bo$394bo4b3o6bo$391bo2bo10bo2bo$392b3o11b3o2$420b2o$420bo$
421b3o$421b2o6bobo$428bo$413bobo12bo3bo$416bo11bo$416bo4bo6bo2bo$413bo
2bo3bobo5b3o$414b3o2bo3bo$423bo$421bob2o28b3o$420bo2b3o29bo$420b2ob2o
29bo$415b2o3b2o2bo4b2o$415b3o3b3o5b3o$414bob2o4bo5bob2o$414b3o11b3o$
415bo13bo5$377bo$376b2o$376bobo16$443b3o$445bo$444bo10$387bo$386b2o$
386bobo16$433b3o$435bo$434bo10$397bo$396b2o$396bobo9b2o$408b3o$408b3o$
407bob2o$407b3o$408bo11$423b3o$400b2o23bo$401bo22bo$412bobo$398b3o10bo
$398b2obo9bo3bo$392b2o5b2o10bo$392b3o16bo2bo$392b3o10b2o4b3o$391bob2o
9b3o$391b3o10b2obo$392bo12b3o$406bo$399b3o$398b2ob2o$397bobob2o$390bob
o4bo3bo2bobo$393bo4bo2bo5bo$393bo4b3o6bo$390bo2bo10bo2bo$391b3o11b3o2$
419b2o$419bo$420b3o$420b2o6bobo$427bo$412bobo12bo3bo$415bo11bo$415bo4b
o6bo2bo$412bo2bo3bobo5b3o$413b3o2bo3bo$422bo$420bob2o$419bo2b3o$419b2o
b2o$414b2o3b2o2bo4b2o$414b3o3b3o5b3o$413bob2o4bo5bob2o$413b3o11b3o$
414bo13bo!

Code: Select all

x = 377, y = 532, rule = B3/S23
44b3o11b3o$44bo2bo10bo2bo$44bo6b3o4bo$44bo5bo2bo4bo$45bo4bo3bo4bo$49b
2o2bobo$51bo$52b2obo$52b3o4bo$45bo6b3o3b3o$44b3o11bob2o$43b2obo12b3o$
43b3o13b2o$43b3o$44b2o6bo$52b2o$51bo2bo$53b2o$69bo13bo$68b3o11b3o$68bo
b2o4bo5bob2o$69b3o3b3o5b3o$69b2o3b2o2bo4b2o$74bo3bo$74bob2o$74b2o2$68b
3o$67bo2bo11b3o$70bo11bo2bo$70bo11bo$61bo5bobo12bo$60b3o12bo6bo$59b2ob
o11bob2o5bo$59b3o12bo2bo$59b3o$60b2o12bo$73bobo$76bo12$66b3o$66bo2bo$
66bo$66bo$66bo$67bo67$45b3o11b3o$45bo2bo10bo2bo$45bo6b3o4bo$45bo5bo2bo
4bo$46bo4bo3bo4bo$50b2o2bobo$52bo$53b2obo$53b3o4bo$46bo6b3o3b3o$45b3o
11bob2o$44b2obo12b3o$44b3o13b2o$44b3o$45b2o6bo$53b2o$52bo2bo$54b2o2$
68bo13bo$67b3o11b3o$67bob2o4bo5bob2o$68b3o3b3o5b3o$68b2o3b2o2bo4b2o$
73bo3bo$73bob2o$73b2o2$67b3o$33b3o30bo2bo11b3o5b3o$32b5o32bo11bo2bo3b
5o$31b2ob3o25bo6bo11bo6b3ob2o$4o5b2o21b2o27b3o2bobo12bo9b2o21b2o5b4o$o
3bo3b2ob2o47b2obo10bo6bo30b2ob2o3bo3bo$o8b4o47b3o10bob2o5bo29b4o8bo$bo
8b2o48b3o10bo2bo36b2o8bo$61b2o$13bo59bo37bo$3b2o8b2o12bo44bobo22bo12b
2o8b2o$2bo2bo9bo12b2o45bo19b2o12bo9bo2bo$2bo2bo4b5o12b2o67b2o12b5o4bo
2bo$2b2ob2o3b4o97b4o3b2ob2o$4b2o4bo103bo4b2o3$11b3o97b3o$4o6b5o95b5o6b
4o$o3bo4b2ob3o95b3ob2o4bo3bo$o9b2o25b2o47b2o25b2o9bo$bo34b4o45b4o34bo$
19b2o14b2ob2o45b2ob2o14b2o$18b4o14b2o27b3o19b2o14b4o$17b2ob2o43bo2bo
34b2ob2o$18b2o45bo39b2o$65bo$65bo$23bo42bo34bo$21b4o75b4o$20bob5o71b5o
bo$19b2o6bo27b2o11b2o27bo6b2o$20b3obo3bo25b2ob3o5b3ob2o25bo3bob3o$21b
3o3bo27b5o5b5o27bo3b3o$26bo29b3o3bo3b3o29bo$61bobo$19b2o20b3o18bo18b3o
20b2o$18b4o4b4o11bo41bo11b4o4b4o$17b2ob2o4bo3bo11bo39bo11bo3bo4b2ob2o$
2b4o5b2o5b2o6bo71bo6b2o5b2o5b4o$2bo3bo3b2ob2o12bo69bo12b2ob2o3bo3bo$2b
o8b4o21b3o47b3o21b4o8bo$3bo8b2o22bo51bo22b2o8bo$37bo49bo2$5bo6bo99bo6b
o$4bo7b2o17b3o57b3o17b2o7bo$4bo6b2o18bo61bo18b2o6bo$4b2o4b2o20bo59bo
20b2o4b2o$6bo111bo$8b2o105b2o$26b3o67b3o$26bo71bo$2b4o21bo69bo21b4o$2b
o3bo13bo83bo13bo3bo$2bo16bo85bo16bo$3bo15bo3bo77bo3bo15bo$19b4o79b4o
114$270bo2bo79bo2bo$269bo87bo$269bo3bo79bo3bo$252b4o13b4o81b4o13b4o$
252bo3bo113bo3bo$252bo121bo$253bo2bo20bo71bo20bo2bo$277bobo67bobo$277b
2o69b2o$255b2o3b2o103b2o3b2o$254bobo6bo99bo6bobo$254bo6bo2bo17bo61bo
17bo2bo6bo$254b3o7b2o16bobo57bobo16b2o7b3o$263b2o17b2o59b2o17b2o3$287b
o51bo$252b4o5b2o24bobo47bobo24b2o5b4o$252bo3bo3b2ob2o4b2o16b2o49b2o16b
2o4b2ob2o3bo3bo$252bo8b4o3b4o4b4o67b4o4b4o3b4o8bo$253bo2bo5b2o3b2ob2o
4bo3bo65bo3bo4b2ob2o3b2o5bo2bo$268b2o6bo15bo41bo15bo6b2o$277bo2bo11bob
o18bo18bobo11bo2bo$292b2o18bobo18b2o$313bo$278b2o25b2o13b2o25b2o$270b
2o7bo24b2ob3o7b3ob2o24bo7b2o$269b2o5bo2bo25b5o7b5o25bo2bo5b2o$270b2o4b
3o27b3o9b3o27b3o4b2o$271bo3b2o73b2o3bo2$309bobo$269b2o37bo47b2o$268b4o
36bo3bo42b4o$267b2ob2o15b2o19bo29b2o15b2ob2o$268b2o16b4o18bo2bo25b4o
16b2o$285b2ob2o18b3o26b2ob2o$261b3o22b2o51b2o22b3o$250b4o6b5o97b5o6b4o
$250bo3bo4b2ob3o97b3ob2o4bo3bo$250bo9b2o103b2o9bo$251bo2bo117bo2bo2$
255b2o5bo101bo5b2o$253b5o111b5o$252bo4bo2b3obo14bo67bo14bob3o2bo4bo$
252bo2b3o3bo3b2o12b2o65b2o12b2o3bo3b3o2bo$252b2o2bo7bobo11bobo65bobo
11bobo7bo2b2o$254b2o7b2obo34b2o57bob2o7b2o$264b2o35b2o58b2o$264bo35b2o
60bo$299bobo10b2o$250b4o5b2o41bo8b3o52b2o5b4o$250bo3bo3b2ob2o20b3o7bob
o3b3o9b3o27b3o20b2ob2o3bo3bo$250bo8b4o19b5o5bo18b2obo25b5o19b4o8bo$
251bo2bo5b2o19b2ob3o5bo3bo8bobo4b3o25b3ob2o19b2o5bo2bo$282b2o8bo15bo4b
o29b2o$292bo2bo12bo$292b3o10bo2bo$301bo4b3o$299b2ob2o2$298bobo3bo$298b
o3bo$293b2o3b2o2bo4b2o$293b3o3b3o5b3o$292bob2o4bo5bob2o$292b3o11b3o$
293bo13bo$320b2o$320bo$320bo2bo$321bobo$328b2o$327b3o$315b2o10b3o$315b
3o3bo5b2obo$314bob2o2b3o5b3o$314b3o5b2o5bo$315bo7bo$325bo$320bo4bo$
319bo$315bobo6bo4bobo$314bo5bo2bo4bo$314bo6b3o4bo$314bo2bo10bo2bo$314b
3o11b3o67$308bobo$307bo$307bo3bo$307bo$307bo2bo$307b3o12$300b2o$300b2o
$299b2o$298bobo10b2o$301bo8b3o$292bobo3b3o9b3o$291bo18b2obo$291bo3bo8b
obo4b3o$291bo15bo4bo$291bo2bo12bo$291b3o10bo2bo$300bo4b3o$298b2ob2o2$
297bobo3bo$297bo3bo$292b2o3b2o2bo4b2o$292b3o3b3o5b3o$291bob2o4bo5bob2o
$291b3o11b3o$292bo13bo$319b2o$319bo$319bo2bo$320bobo$327b2o$326b3o$
314b2o10b3o$314b3o3bo5b2obo$313bob2o2b3o5b3o$313b3o5b2o5bo$314bo7bo$
324bo$319bo4bo$318bo$314bobo6bo4bobo$313bo5bo2bo4bo$313bo6b3o4bo$313bo
2bo10bo2bo$313b3o11b3o!
Christoph Reinthaler (Who has this weird c/10-fetish)

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Moosey
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Re: Mountain range patterns

Post by Moosey » March 8th, 2019, 1:54 pm

Wow, those are weird and look irregular:
My name is Hattie, how do you do?
My name is Hattie, how do you do?
105A78F6-8A69-49BF-8D14-8666775ECD76.png (126.73 KiB) Viewed 13175 times
not active here but active on discord

Dean Hickerson
Posts: 103
Joined: December 19th, 2015, 1:15 pm

Re: Mountain range patterns

Post by Dean Hickerson » March 9th, 2019, 6:38 pm

In christoph r.'s wallstreet patterns, it appears that most (but not quite all) of the gliders from the northernmost glider rakes survive to reach the LWSS line. There they delete almost half of the LWSSs. So I wondered if we could get the same effect by eliminating those 2 rakes and replacing the p40 LWSS puffers by p80 puffers. After some experimentation I found the pattern below.

Code: Select all

#CXRLE Pos=-76,-62
# "wallstreet" variant using p80 LWSS puffers
x = 153, y = 98, rule = B3/S23
35b3o11b3o$34bo2bo10bo2bo$37bo4b3o6bo$37bo4bo2bo5bo$36bo4bo3bo4bo$40bo
bo2b2o$44bo$40bob2o$36bo4b3o$35b3o3b3o6bo$34b2obo11b3o$34b3o12bob2o$
35b2o13b3o$50b3o$50b2o8$57bo13bo$56b3o11b3o$55b2obo5bo4b2obo$55b3o5b3o
3b3o$56b2o5bob2o3b2o5$34bo35b3o41bo$33b3o20b3o11bo2bo39b3o$33bob2o18bo
2bo11bo42bob2o$34b3o21bo11bo43b3o$34b3o21bo12bo42b3o$34b2o22bo55b2o$
57bo2$37bo14b2o45b2o14bo$36bo14b2ob2o41b2ob2o14bo$36bo3bo11b4o41b4o11b
o3bo$36b4o13b2o43b2o13b4o$22b4o101b4o$21b9o93b9o$20b2ob3obo2bo13b2o36b
2o38bo2bob3ob2o$21b2o3b2o3bo12bo38bo37bo3b2o3b2o$28b3o91b3o$24b2o101b
2o$bo8b2o10bo107bo10b2o8bo$o8b4o8bo109bo8b4o8bo$o3bo3b2ob2o8bo3bo101bo
3bo8b2ob2o3bo3bo$4o5b2o10b4o103b4o10b2o5b4o2$14bo57b3o63bo$14b2o15b2o
38bo2bo45b2o15b2o$4b2o7b2obo14bobo40bo44bobo14bob2o7b2o$2b2o2bo7bobo
14bo42bo46bo14bobo7bo2b2o$2bo2b3o3bo3b2o57bo61b2o3bo3b3o2bo$2bo4bo2b3o
bo58bo64bob3o2bo4bo$3b5o45b2o43b2o45b5o$5b2o45b4o41b4o45b2o$35b2o14b2o
b2o41b2ob2o14b2o$bo2bo29b4o14b2o45b2o14b4o29bo2bo$o32b2ob2o77b2ob2o32b
o$o3bo29b2o81b2o29bo3bo$4o13b4o111b4o13b4o$17bo3bo109bo3bo$17bo117bo$
18bo18b2o75b2o18bo$36bobo3b3o63b3o3bobo$35b2obo6b3o23b2o7b2o23b3o6bob
2o$36b2o9bo22b2ob3ob3ob2o22bo9b2o$37bo7b3o23b5ob5o23b3o7bo$72b3o3b3o$
58b3o31b3o$35b2o21bo35bo21b2o$34b4o4b4o13bo33bo13b4o4b4o$33b2ob2o4bo3b
o59bo3bo4b2ob2o$18b4o5b2o5b2o6bo67bo6b2o5b2o5b4o$18bo3bo3b2ob2o12bo9b
3o41b3o9bo12b2ob2o3bo3bo$18bo8b4o22bo45bo22b4o8bo$19bo8b2o24bo43bo24b
2o8bo2$31bo89bo$21b2o8b2o15b3o51b3o15b2o8b2o$20bo2bo9bo14bo55bo14bo9bo
2bo$20bo2bo4b5o16bo53bo16b5o4bo2bo$20b2ob2o3b4o89b4o3b2ob2o$22b2o4bo
95bo4b2o$43b3o61b3o$43bo65bo$44bo63bo$18b4o109b4o$18bo3bo13bo79bo13bo
3bo$18bo16bo81bo16bo$19bo15bo3bo73bo3bo15bo$35b4o75b4o!
The mountains that this produces aren't identical to those in the original pattern, but they look very similar. I've run this for 3.4*10^14 generations and it hasn't blown up, but I can't guarantee that it won't: There are places, near the bases of the mountains, where an eastward LWSS reaches the point E where the westward LWSSs and southeastward gliders collide. This causes a loaf to form in the LWSS line. In all cases that I've seen, subsequent LWSSs burn through the loaf, sometimes leaving some debris above and below the LWSS line. (For example, this happens between gens 238949 and 262594.) It's not clear to me that that debris won't ever get hit by gliders from above, which might cause an explosion that would destroy the pattern. Or 2 LWSSs might collide headon close enough to the debris so that the gliders they produce will cause an explosion.

The same thing happens in the original wallstreet pattern, e.g. between gens 2605241 and 2625618. christoph r., are you sure that this won't cause the pattern to fail eventually?

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Mr. T
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Location: Germany

Re: Mountain range patterns

Post by Mr. T » March 12th, 2019, 3:12 pm

@ Dean Hickerson,

it depends.
As i wrote before, some tries are like riding on a razor blade. The whole constructions are by some degree unstable. I the case of the bulldozered loafs rarely i felt uncomfortable, it seams a very robust constellation. More dangerous are the randomly raining gliders from not intended messy collisions. But you have to remember the huge space between the interacting gliders. Indeed it seems very populated, but if you lucky to survive the first rounds, the probability of bad collisions is falling. But of course it never gets zero.


In the following example there is a lot of mess, there are up to 6 changes of direction for 1 glider (indirect) and it runs up to 2.8 x 10^14 generations without problems.

Code: Select all

x = 377, y = 698, rule = B3/S23
44b3o11b3o$44bo2bo10bo2bo$44bo6b3o4bo$44bo5bo2bo4bo$45bo4bo3bo4bo$49b
2o2bobo$51bo$52b2obo$52b3o4bo$45bo6b3o3b3o$44b3o11bob2o$43b2obo12b3o$
43b3o13b2o$43b3o$44b2o6bo$52b2o$51bo2bo$53b2o$69bo13bo$68b3o11b3o$68bo
b2o4bo5bob2o$69b3o3b3o5b3o$69b2o3b2o2bo4b2o$74bo3bo$74bob2o$74b2o2$68b
3o$67bo2bo11b3o$70bo11bo2bo$70bo11bo$61bo5bobo12bo$60b3o12bo6bo$59b2ob
o11bob2o5bo$59b3o12bo2bo$59b3o$60b2o12bo$73bobo$76bo12$66b3o$66bo2bo$
66bo$66bo$66bo$67bo67$45b3o11b3o$45bo2bo10bo2bo$45bo6b3o4bo$45bo5bo2bo
4bo$46bo4bo3bo4bo$50b2o2bobo$52bo$53b2obo$53b3o4bo$46bo6b3o3b3o$45b3o
11bob2o$44b2obo12b3o$44b3o13b2o$44b3o$45b2o6bo$53b2o$52bo2bo$54b2o2$
68bo13bo$67b3o11b3o$67bob2o4bo5bob2o$68b3o3b3o5b3o$68b2o3b2o2bo4b2o$
73bo3bo$73bob2o$73b2o2$67b3o$33b3o30bo2bo11b3o5b3o$32b5o32bo11bo2bo3b
5o$31b2ob3o25bo6bo11bo6b3ob2o$4o5b2o21b2o27b3o2bobo12bo9b2o21b2o5b4o$o
3bo3b2ob2o47b2obo10bo6bo30b2ob2o3bo3bo$o8b4o47b3o10bob2o5bo29b4o8bo$bo
8b2o48b3o10bo2bo36b2o8bo$61b2o$13bo59bo37bo$3b2o8b2o12bo44bobo22bo12b
2o8b2o$2bo2bo9bo12b2o45bo19b2o12bo9bo2bo$2bo2bo4b5o12b2o67b2o12b5o4bo
2bo$2b2ob2o3b4o97b4o3b2ob2o$4b2o4bo103bo4b2o3$11b3o97b3o$4o6b5o95b5o6b
4o$o3bo4b2ob3o95b3ob2o4bo3bo$o9b2o25b2o47b2o25b2o9bo$bo34b4o45b4o34bo$
19b2o14b2ob2o45b2ob2o14b2o$18b4o14b2o27b3o19b2o14b4o$17b2ob2o43bo2bo
34b2ob2o$18b2o45bo39b2o$65bo$65bo$23bo42bo34bo$21b4o75b4o$20bob5o71b5o
bo$19b2o6bo27b2o11b2o27bo6b2o$20b3obo3bo25b2ob3o5b3ob2o25bo3bob3o$21b
3o3bo27b5o5b5o27bo3b3o$26bo29b3o3bo3b3o29bo$61bobo$19b2o20b3o18bo18b3o
20b2o$18b4o4b4o11bo41bo11b4o4b4o$17b2ob2o4bo3bo11bo39bo11bo3bo4b2ob2o$
2b4o5b2o5b2o6bo71bo6b2o5b2o5b4o$2bo3bo3b2ob2o12bo69bo12b2ob2o3bo3bo$2b
o8b4o21b3o47b3o21b4o8bo$3bo8b2o22bo51bo22b2o8bo$37bo49bo2$5bo6bo99bo6b
o$4bo7b2o17b3o57b3o17b2o7bo$4bo6b2o18bo61bo18b2o6bo$4b2o4b2o20bo59bo
20b2o4b2o$6bo111bo$8b2o105b2o$26b3o67b3o$26bo71bo$2b4o21bo69bo21b4o$2b
o3bo13bo83bo13bo3bo$2bo16bo85bo16bo$3bo15bo3bo77bo3bo15bo$19b4o79b4o
280$270bo2bo79bo2bo$269bo87bo$269bo3bo79bo3bo$252b4o13b4o81b4o13b4o$
252bo3bo113bo3bo$252bo121bo$253bo2bo20bo71bo20bo2bo$277bobo67bobo$277b
2o69b2o$255b2o3b2o103b2o3b2o$254bobo6bo99bo6bobo$254bo6bo2bo17bo61bo
17bo2bo6bo$254b3o7b2o16bobo57bobo16b2o7b3o$263b2o17b2o59b2o17b2o3$287b
o51bo$252b4o5b2o24bobo47bobo24b2o5b4o$252bo3bo3b2ob2o4b2o16b2o49b2o16b
2o4b2ob2o3bo3bo$252bo8b4o3b4o4b4o67b4o4b4o3b4o8bo$253bo2bo5b2o3b2ob2o
4bo3bo65bo3bo4b2ob2o3b2o5bo2bo$268b2o6bo15bo41bo15bo6b2o$277bo2bo11bob
o18bo18bobo11bo2bo$292b2o18bobo18b2o$313bo$278b2o25b2o13b2o25b2o$270b
2o7bo24b2ob3o7b3ob2o24bo7b2o$269b2o5bo2bo25b5o7b5o25bo2bo5b2o$270b2o4b
3o27b3o9b3o27b3o4b2o$271bo3b2o73b2o3bo2$309bobo$269b2o37bo47b2o$268b4o
36bo3bo42b4o$267b2ob2o15b2o19bo29b2o15b2ob2o$268b2o16b4o18bo2bo25b4o
16b2o$285b2ob2o18b3o26b2ob2o$261b3o22b2o51b2o22b3o$250b4o6b5o97b5o6b4o
$250bo3bo4b2ob3o97b3ob2o4bo3bo$250bo9b2o103b2o9bo$251bo2bo117bo2bo2$
255b2o5bo101bo5b2o$253b5o111b5o$252bo4bo2b3obo14bo67bo14bob3o2bo4bo$
252bo2b3o3bo3b2o12b2o65b2o12b2o3bo3b3o2bo$252b2o2bo7bobo11bobo65bobo
11bobo7bo2b2o$254b2o7b2obo34b2o57bob2o7b2o$264b2o35b2o58b2o$264bo35b2o
60bo$299bobo10b2o$250b4o5b2o41bo8b3o52b2o5b4o$250bo3bo3b2ob2o20b3o7bob
o3b3o9b3o27b3o20b2ob2o3bo3bo$250bo8b4o19b5o5bo18b2obo25b5o19b4o8bo$
251bo2bo5b2o19b2ob3o5bo3bo8bobo4b3o25b3ob2o19b2o5bo2bo$282b2o8bo15bo4b
o29b2o$292bo2bo12bo$292b3o10bo2bo$301bo4b3o$299b2ob2o2$298bobo3bo$298b
o3bo$293b2o3b2o2bo4b2o$293b3o3b3o5b3o$292bob2o4bo5bob2o$292b3o11b3o$
293bo13bo$320b2o$320bo$320bo2bo$321bobo$328b2o$327b3o$315b2o10b3o$315b
3o3bo5b2obo$314bob2o2b3o5b3o$314b3o5b2o5bo$315bo7bo$325bo$320bo4bo$
319bo$315bobo6bo4bobo$314bo5bo2bo4bo$314bo6b3o4bo$314bo2bo10bo2bo$314b
3o11b3o67$308bobo$307bo$307bo3bo$307bo$307bo2bo$307b3o12$300b2o$300b2o
$299b2o$298bobo10b2o$301bo8b3o$292bobo3b3o9b3o$291bo18b2obo$291bo3bo8b
obo4b3o$291bo15bo4bo$291bo2bo12bo$291b3o10bo2bo$300bo4b3o$298b2ob2o2$
297bobo3bo$297bo3bo$292b2o3b2o2bo4b2o$292b3o3b3o5b3o$291bob2o4bo5bob2o
$291b3o11b3o$292bo13bo$319b2o$319bo$319bo2bo$320bobo$327b2o$326b3o$
314b2o10b3o$314b3o3bo5b2obo$313bob2o2b3o5b3o$313b3o5b2o5bo$314bo7bo$
324bo$319bo4bo$318bo$314bobo6bo4bobo$313bo5bo2bo4bo$313bo6b3o4bo$313bo
2bo10bo2bo$313b3o11b3o!
Last edited by Mr. T on May 3rd, 2022, 4:41 pm, edited 2 times in total.
Christoph Reinthaler (Who has this weird c/10-fetish)

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Mr. T
Posts: 558
Joined: March 24th, 2016, 2:55 pm
Location: Germany

Re: Mountain range patterns

Post by Mr. T » May 3rd, 2022, 3:29 pm

Self-similar structures, this time both LWSS lanes are swinging with each other, not in the opposite direction.

Code: Select all

x = 424, y = 305, rule = B3/S23
153b3o3b3o27b3o3b3o$153bo2bobo2bo27bo2bobo2bo$153bo7bo27bo7bo$153bo7bo
27bo7bo$154bobobobo29bobobobo$30bo5bo277bo5bo$29b3o3b3o119bo35bo119b3o
3b3o$28b2obo3bob2o117b3o33b3o117b2obo3bob2o$28b3o5b3o116b2ob2o31b2ob2o
116b3o5b3o$29b2o5b2o117b2ob2o31b2ob2o117b2o5b2o$156bobo33bobo$33bo123b
o35bo123bo$32b3o115bo13b3o17b3o13bo115b3o$31bo3bo113b3o11bo2bo17bo2bo
11b3o113bo3bo$148b2obo3b2ob2o6bo17bo6b2ob2o3bob2o$148b3o7bo3bo3bo17bo
3bo3bo7b3o$31b2ob2o112b3o8bo2bo3bo17bo3bo2bo8b3o112b2ob2o$33bo7bo106b
3o3bo11bo17bo11bo3b3o106bo7bo$25b3o12b3o106b2o5b2o5bobo19bobo5b2o5b2o
106b3o12b3o$24bo2bo12bob2o114bo33bo114b2obo12bo2bo$27bo5b3o5b3o113bo
35bo113b3o5b3o5bo$23bo3bo5b2o6b3o263b3o6b2o5bo3bo$23bo3bo13b3o263b3o
13bo3bo$27bo13b2o265b2o13bo$24bobo6bo283bo6bobo$32bobo281bobo4$34bo
281bo$32b2o283b2o$33b2o281b2o66$34b2o279b2o$33b2ob4o271b4ob2o$34b6o
271b6o$35b4o273b4o2$22b2o303b2o$21b2ob2o299b2ob2o$22b4o3bo291bo3b4o$
23b2o3bobo2b2o281b2o2bobo3b2o$27bo3b2o2bo9bo259bo9bo2b2o3bo$23b2o3bobo
2b2o11bo257bo11b2o2bobo3b2o$22b4o3bo14b3o257b3o14bo3b4o$21b2ob2o299b2o
b2o$22b2o13b2o273b2o13b2o$35bo4bo269bo4bo$34bo28bo223bo28bo$34bo5bo17b
4o2bo221bo2b4o17bo5bo$34b6o20bob3o221b3obo20b6o$61bo227bo$58bo233bo$
61bo227bo$58bo2bo227bo2bo$13b2o25b2o17b2o229b2o17b2o25b2o$12b2ob4o22b
2o265b2o22b4ob2o$13b6o21bo269bo21b6o$bo2bo9b4o315b4o9bo2bo$o50bo247bo
50bo$o3bo45b2o247b2o45bo3bo$4o18b2o26bobo245bobo26b2o18b4o$6b3o2b2o10b
2o11b4o271b4o11b2o10b2o2b3o$6b3o2b2o9bo13bo3bo269bo3bo13bo9b2o2b3o$6b
3o2b2o23bo277bo23b2o2b3o$4o33bo2bo4bo259bo4bo2bo33b4o$o3bo39b2o259b2o
39bo3bo$o24b2o17bobo257bobo17b2o24bo$bo2bo19b4o295b4o19bo2bo$23b2ob2o
9bo275bo9b2ob2o$12b6o6b2o11bo275bo11b2o6b6o$12bo5bo11bobo4b2o2bo5bo2bo
249bo2bo5bo2b2o4bobo11bo5bo$12bo16b2o2bo7bo5bo2bo249bo2bo5bo7bo2b2o16b
o$13bo4bo11bobo4b2o2bo5bob2o249b2obo5bo2b2o4bobo11bo4bo$15b2o7b2o11bo
275bo11b2o7b2o$23b2ob2o10bo273bo10b2ob2o$24b4o9bo275bo9b4o$25b2o297b2o
$50bo249bo$32b6o12b2o247b2o12b6o$32bo5bo12bo247bo12bo5bo$32bo17bo249bo
17bo$33bo4bo4bo2bo257bo2bo4bo4bo$35b2o5bo265bo5b2o$42bo3bo257bo3bo$42b
4o259b4o6$115b4o259b4o$115bo3bo257bo3bo$108b2o5bo265bo5b2o$106bo4bo4bo
2bo257bo2bo4bo4bo$105bo17bo249bo17bo$105bo5bo12bo247bo12bo5bo$105b6o
12b2o247b2o12b6o$123bo249bo$98b2o297b2o$97b4o9bo275bo9b4o$96b2ob2o10bo
273bo10b2ob2o$88b2o7b2o11bo275bo11b2o7b2o$86bo4bo11bobo4b2o2bo5bob2o
249b2obo5bo2b2o4bobo11bo4bo$85bo16b2o2bo7bo5bo2bo249bo2bo5bo7bo2b2o16b
o$85bo5bo11bobo4b2o2bo5bo2bo249bo2bo5bo2b2o4bobo11bo5bo$85b6o6b2o11bo
275bo11b2o6b6o$96b2ob2o9bo275bo9b2ob2o$74bo2bo19b4o295b4o19bo2bo$73bo
24b2o17bobo257bobo17b2o24bo$73bo3bo39b2o259b2o39bo3bo$73b4o33bo2bo4bo
259bo4bo2bo33b4o$79b3o2b2o23bo277bo23b2o2b3o$79b3o2b2o9bo13bo3bo269bo
3bo13bo9b2o2b3o$79b3o2b2o10b2o11b4o271b4o11b2o10b2o2b3o$73b4o18b2o26bo
bo245bobo26b2o18b4o$73bo3bo45b2o247b2o45bo3bo$73bo50bo247bo50bo$74bo2b
o9b4o315b4o9bo2bo$86b6o21bo269bo21b6o$85b2ob4o22b2o265b2o22b4ob2o$86b
2o25b2o17b2o229b2o17b2o25b2o$131bo2bo227bo2bo$134bo227bo$131bo233bo$
134bo21b4o20b4o20b4o154bo$107b6o20bob3o17bo3bo19bo3bo19bo3bo151b3obo
20b6o$107bo5bo17b4o2bo21bo23bo23bo151bo2b4o17bo5bo$107bo28bo18bo2bo20b
o2bo20bo2bo153bo28bo$108bo4bo269bo4bo$95b2o13b2o273b2o13b2o$94b2ob2o
299b2ob2o$95b4o3bo14b3o257b3o14bo3b4o$96b2o3bobo2b2o11bo257bo11b2o2bob
o3b2o$100bo3b2o2bo9bo259bo9bo2b2o3bo$96b2o3bobo2b2o281b2o2bobo3b2o$95b
4o3bo291bo3b4o$94b2ob2o299b2ob2o$95b2o303b2o2$108b4o273b4o$107b6o271b
6o$106b2ob4o271b4ob2o$107b2o279b2o12$160b2o22b2o125b2o$159b2o22b2o127b
2o$161bo23bo125bo16$166b2o22b2o113b2o22b2o$165b2o22b2o115b2o22b2o$167b
o23bo113bo23bo16$172b2o22b2o101b2o22b2o$171b2o22b2o103b2o22b2o$173bo
23bo101bo23bo16$106b2o94b2o89b2o94b2o$105b2o94b2o91b2o94b2o$107bo95bo
89bo95bo4$105bobo281bobo$97bobo6bo283bo6bobo$100bo13b2o265b2o13bo$96bo
3bo13b3o263b3o13bo3bo$96bo3bo5b2o6b3o263b3o6b2o5bo3bo$100bo5b3o5b3o
113bo35bo113b3o5b3o5bo$97bo2bo12bob2o114bo33bo114b2obo12bo2bo$98b3o12b
3o106b2o5b2o5bobo19bobo5b2o5b2o106b3o12b3o$106bo7bo106b3o3bo11bo17bo
11bo3b3o106bo7bo$104b2ob2o112b3o8bo2bo3bo17bo3bo2bo8b3o112b2ob2o$221b
3o7bo3bo3bo17bo3bo3bo7b3o$221b2obo3b2ob2o6bo17bo6b2ob2o3bob2o$104bo3bo
113b3o11bo2bo17bo2bo11b3o113bo3bo$105b3o115bo13b3o17b3o13bo115b3o$106b
o123bo35bo123bo$229bobo33bobo$102b2o5b2o117b2ob2o31b2ob2o117b2o5b2o$
101b3o5b3o116b2ob2o31b2ob2o116b3o5b3o$101b2obo3bob2o117b3o33b3o117b2ob
o3bob2o$102b3o3b3o119bo35bo119b3o3b3o$103bo5bo277bo5bo$227bobobobo29bo
bobobo$226bo7bo27bo7bo$226bo7bo27bo7bo$226bo2bobo2bo27bo2bobo2bo$226b
3o3b3o27b3o3b3o!
Christoph Reinthaler (Who has this weird c/10-fetish)

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