Pulsar-based construction

[confocaloid]

Send a single glider into a constellation entirely made of pulsars.
Which objects can be cleanly constructed in this way?

Two pulsars suffice to make a boat:

Code: Select all

x = 40, y = 56, rule = B3/S23
bo$2bo$3o19$17b3o3b3o2$15bo4bobo4bo$15bo4bobo4bo$15bo4bobo4bo$17b3o3b
3o2$17b3o3b3o$15bo4bobo4bo$15bo4bobo4bo$15bo4bobo4bo2$17b3o3b3o8$29bo
5bo$29bo5bo$29b2o3b2o2$25b3o2b2ob2o2b3o$27bobobobobobo$29b2o3b2o2$29b
2o3b2o$27bobobobobobo$25b3o2b2ob2o2b3o2$29b2o3b2o$29bo5bo$29bo5bo!

Five pulsars suffice to make a block:

Code: Select all

x = 90, y = 64, rule = B3/S23
2bo$3bo$b3o25$24b3o3b3o2$22bo4bobo4bo$22bo4bobo4bo$22bo4bobo4bo$24b3o
3b3o2$24b3o3b3o$22bo4bobo4bo$22bo4bobo4bo44b3o3b3o$22bo4bobo4bo$77bo4b
obo4bo$24b3o3b3o44bo4bobo4bo$77bo4bobo4bo$79b3o3b3o2$79b3o3b3o$77bo4bo
bo4bo$77bo4bobo4bo$77bo4bobo4bo2$57b2o5b2o13b3o3b3o$58b2o3b2o$55bo2bob
obobo2bo$2b3o3b3o17b3o3b3o18b3ob2ob2ob3o$56bobobobobobo$o4bobo4bo13bo
4bobo4bo18b3o3b3o$o4bobo4bo13bo4bobo4bo$o4bobo4bo13bo4bobo4bo18b3o3b3o
$2b3o3b3o17b3o3b3o19bobobobobobo$55b3ob2ob2ob3o$2b3o3b3o17b3o3b3o18bo
2bobobobo2bo$o4bobo4bo13bo4bobo4bo19b2o3b2o$o4bobo4bo13bo4bobo4bo18b2o
5b2o$o4bobo4bo13bo4bobo4bo2$2b3o3b3o17b3o3b3o!

[squareroot12621]

Here's a base for a 90° turner:

Code: Select all

x = 16, y = 40, rule = B3/S23
3bo$4bo$2b3o10$2b2o5b2o$3b2o3b2o$o2bobobobo2bo$3ob2ob2ob3o$bobobobobo
bo$2b3o3b3o2$2b3o3b3o$bobobobobobo$3ob2ob2ob3o$o2bobobobo2bo$3b2o3b2o
$2b2o5b2o3$5b3o3b3o2$3bo4bobo4bo$3bo4bobo4bo$3bo4bobo4bo$5b3o3b3o2$5b
3o3b3o$3bo4bobo4bo$3bo4bobo4bo$3bo4bobo4bo2$5b3o3b3o!

[unname4798]

Here's a base for a 90° turner:

Code: Select all

x = 16, y = 40, rule = B3/S23
3bo$4bo$2b3o10$2b2o5b2o$3b2o3b2o$o2bobobobo2bo$3ob2ob2ob3o$bobobobobo
bo$2b3o3b3o2$2b3o3b3o$bobobobobobo$3ob2ob2ob3o$o2bobobobo2bo$3b2o3b2o
$2b2o5b2o3$5b3o3b3o2$3bo4bobo4bo$3bo4bobo4bo$3bo4bobo4bo$5b3o3b3o2$5b
3o3b3o$3bo4bobo4bo$3bo4bobo4bo$3bo4bobo4bo2$5b3o3b3o!

This is classified as "self-destruction" reflector, right?

[confocaloid]

"Almost clean" one-time turners

Code: Select all

x = 73, y = 47, rule = B3/S23
2bo$obo$b2o25$62bo5bo$62bo5bo$62b2o3b2o2$42bo5bo9b3o2b2ob2o2b3o$42bo5b
o11bobobobobobo$42b2o3b2o13b2o3b2o$23b2o5b2o$24b2o3b2o7b3o2b2ob2o2b3o
9b2o3b2o$21bo2bobobobo2bo6bobobobobobo9bobobobobobo$21b3ob2ob2ob3o8b2o
3b2o9b3o2b2ob2o2b3o$22bobobobobobo$23b3o3b3o10b2o3b2o13b2o3b2o$40bobob
obobobo11bo5bo$23b3o3b3o6b3o2b2ob2o2b3o9bo5bo$22bobobobobobo$21b3ob2ob
2ob3o8b2o3b2o$21bo2bobobobo2bo8bo5bo$24b2o3b2o11bo5bo$23b2o5b2o!

Code: Select all

x = 72, y = 48, rule = B3/S23
2bo$obo$b2o19$61bo5bo$61bo5bo$61b2o3b2o2$57b3o2b2ob2o2b3o$59bobobobobo
bo$61b2o3b2o2$61b2o3b2o$59bobobobobobo$42bo5bo8b3o2b2ob2o2b3o$42bo5bo$
42b2o3b2o12b2o3b2o$23b2o5b2o29bo5bo$24b2o3b2o7b3o2b2ob2o2b3o8bo5bo$21b
o2bobobobo2bo6bobobobobobo$21b3ob2ob2ob3o8b2o3b2o$22bobobobobobo$23b3o
3b3o10b2o3b2o$40bobobobobobo$23b3o3b3o6b3o2b2ob2o2b3o$22bobobobobobo$
21b3ob2ob2ob3o8b2o3b2o$21bo2bobobobo2bo8bo5bo$24b2o3b2o11bo5bo$23b2o5b
2o!

Traffic light

Code: Select all

x = 30, y = 53, rule = B3/S23
o$b2o$2o36$27bo$27bobo$27b2o3$26b3o$26bo$17bo9bo$18bo$16b3o3$16b2o$15b
obo$17bo!

Bookends (dirty)

Code: Select all

x = 60, y = 47, rule = B3/S23
2bo$obo$b2o30$57bo$57bobo$57b2o3$56b3o$56bo$47bo9bo$48bo$46b3o3$46b2o$
45bobo$47bo!

[confocaloid]

It is surprisingly hard to find a clean one-time turner or splitter, there is always some leftover junk:

Code: Select all

x = 134, y = 58, rule = B3/S23
2bo$obo$b2o15$102b3o3b3o2$86b2o5b2o5bo4bobo4bo$87b2o3b2o6bo4bobo4bo$
84bo2bobobobo2bo3bo4bobo4bo$84b3ob2ob2ob3o5b3o3b3o$85bobobobobobo$86b
3o3b3o7b3o3b3o$100bo4bobo4bo$86b3o3b3o5bo4bobo4bo$63b3o3b3o13bobobobob
obo4bo4bobo4bo$84b3ob2ob2ob3o$61bo4bobo4bo10bo2bobobobo2bo5b3o3b3o$39b
3o3b3o13bo4bobo4bo13b2o3b2o$22bo5bo32bo4bobo4bo12b2o5b2o$22bo5bo8bo4bo
bo4bo13b3o3b3o$22b2o3b2o8bo4bobo4bo$37bo4bobo4bo13b3o3b3o$18b3o2b2ob2o
2b3o6b3o3b3o13bo4bobo4bo$20bobobobobobo30bo4bobo4bo$22b2o3b2o10b3o3b3o
13bo4bobo4bo12b3o3b3o28b2o5b2o$37bo4bobo4bo56b2o5b2o9b2o3b2o$22b2o3b2o
8bo4bobo4bo13b3o3b3o12bo4bobo4bo10b2o3b2o7bo2bobobobo2bo$20bobobobobob
o6bo4bobo4bo34bo4bobo4bo7bo2bobobobo2bo4b3ob2ob2ob3o$18b3o2b2ob2o2b3o
51bo4bobo4bo7b3ob2ob2ob3o5bobobobobobo$39b3o3b3o38b3o3b3o10bobobobobob
o7b3o3b3o$22b2o3b2o77b3o3b3o$22bo5bo57b3o3b3o28b3o3b3o$22bo5bo38b2o5b
2o8bo4bobo4bo9b3o3b3o7bobobobobobo$68b2o3b2o9bo4bobo4bo8bobobobobobo5b
3ob2ob2ob3o$65bo2bobobobo2bo6bo4bobo4bo7b3ob2ob2ob3o4bo2bobobobo2bo$
65b3ob2ob2ob3o26bo2bobobobo2bo7b2o3b2o$66bobobobobobo9b3o3b3o12b2o3b2o
9b2o5b2o$67b3o3b3o30b2o5b2o2$67b3o3b3o$66bobobobobobo$65b3ob2ob2ob3o$
65bo2bobobobo2bo$68b2o3b2o$67b2o5b2o!

Code: Select all

x = 118, y = 72, rule = B3/S23
2bo$obo$b2o15$102b3o3b3o2$86b2o5b2o5bo4bobo4bo$87b2o3b2o6bo4bobo4bo$
84bo2bobobobo2bo3bo4bobo4bo$84b3ob2ob2ob3o5b3o3b3o$85bobobobobobo$86b
3o3b3o7b3o3b3o$100bo4bobo4bo$86b3o3b3o5bo4bobo4bo$63b3o3b3o13bobobobob
obo4bo4bobo4bo$84b3ob2ob2ob3o$61bo4bobo4bo10bo2bobobobo2bo5b3o3b3o$39b
3o3b3o13bo4bobo4bo13b2o3b2o$22bo5bo32bo4bobo4bo12b2o5b2o$22bo5bo8bo4bo
bo4bo13b3o3b3o$22b2o3b2o8bo4bobo4bo$37bo4bobo4bo13b3o3b3o$18b3o2b2ob2o
2b3o6b3o3b3o13bo4bobo4bo$20bobobobobobo30bo4bobo4bo$22b2o3b2o10b3o3b3o
13bo4bobo4bo12b3o3b3o12b2o5b2o$37bo4bobo4bo58b2o3b2o$22b2o3b2o8bo4bobo
4bo13b3o3b3o12bo4bobo4bo8bo2bobobobo2bo$20bobobobobobo6bo4bobo4bo34bo
4bobo4bo8b3ob2ob2ob3o$18b3o2b2ob2o2b3o51bo4bobo4bo9bobobobobobo$39b3o
3b3o38b3o3b3o12b3o3b3o$22b2o3b2o$22bo5bo57b3o3b3o12b3o3b3o$22bo5bo38b
2o5b2o8bo4bobo4bo9bobobobobobo$68b2o3b2o9bo4bobo4bo8b3ob2ob2ob3o$65bo
2bobobobo2bo6bo4bobo4bo8bo2bobobobo2bo$65b3ob2ob2ob3o30b2o3b2o$66bobob
obobobo9b3o3b3o12b2o5b2o$67b3o3b3o2$67b3o3b3o$66bobobobobobo$65b3ob2ob
2ob3o$65bo2bobobobo2bo$68b2o3b2o$67b2o5b2o20bo5bo$96bo5bo$96b2o3b2o2$
92b3o2b2ob2o2b3o$94bobobobobobo$96b2o3b2o2$96b2o3b2o$94bobobobobobo$
92b3o2b2ob2o2b3o2$96b2o3b2o$96bo5bo$96bo5bo!

Code: Select all

x = 118, y = 108, rule = B3/S23
2bo$obo$b2o15$102b3o3b3o2$86b2o5b2o5bo4bobo4bo$87b2o3b2o6bo4bobo4bo$
84bo2bobobobo2bo3bo4bobo4bo$84b3ob2ob2ob3o5b3o3b3o$85bobobobobobo$86b
3o3b3o7b3o3b3o$100bo4bobo4bo$86b3o3b3o5bo4bobo4bo$63b3o3b3o13bobobobob
obo4bo4bobo4bo$84b3ob2ob2ob3o$61bo4bobo4bo10bo2bobobobo2bo5b3o3b3o$39b
3o3b3o13bo4bobo4bo13b2o3b2o$22bo5bo32bo4bobo4bo12b2o5b2o$22bo5bo8bo4bo
bo4bo13b3o3b3o$22b2o3b2o8bo4bobo4bo$37bo4bobo4bo13b3o3b3o$18b3o2b2ob2o
2b3o6b3o3b3o13bo4bobo4bo$20bobobobobobo30bo4bobo4bo$22b2o3b2o10b3o3b3o
13bo4bobo4bo12b3o3b3o12b2o5b2o$37bo4bobo4bo58b2o3b2o$22b2o3b2o8bo4bobo
4bo13b3o3b3o12bo4bobo4bo8bo2bobobobo2bo$20bobobobobobo6bo4bobo4bo34bo
4bobo4bo8b3ob2ob2ob3o$18b3o2b2ob2o2b3o51bo4bobo4bo9bobobobobobo$39b3o
3b3o38b3o3b3o12b3o3b3o$22b2o3b2o$22bo5bo57b3o3b3o12b3o3b3o$22bo5bo38b
2o5b2o8bo4bobo4bo9bobobobobobo$68b2o3b2o9bo4bobo4bo8b3ob2ob2ob3o$65bo
2bobobobo2bo6bo4bobo4bo8bo2bobobobo2bo$65b3ob2ob2ob3o30b2o3b2o$66bobob
obobobo9b3o3b3o12b2o5b2o$67b3o3b3o2$67b3o3b3o$66bobobobobobo$65b3ob2ob
2ob3o$65bo2bobobobo2bo$68b2o3b2o$67b2o5b2o15$93bo5bo$93bo5bo$93b2o3b2o
2$89b3o2b2ob2o2b3o$91bobobobobobo$93b2o3b2o2$93b2o3b2o$91bobobobobobo$
89b3o2b2ob2o2b3o2$93b2o3b2o$93bo5bo$93bo5bo9$97b2o5b2o$98b2o3b2o$95bo
2bobobobo2bo$95b3ob2ob2ob3o$96bobobobobobo$97b3o3b3o2$97b3o3b3o$96bobo
bobobobo$95b3ob2ob2ob3o$95bo2bobobobo2bo$98b2o3b2o$97b2o5b2o!

[Haycat2009]

Could we use this to research p3 slow salvos?

[confocaloid]

It is surprisingly hard to find a clean one-time turner or splitter, there is always some leftover junk:
...

Could we use this to research p3 slow salvos?

...Or maybe build a giant recollision spaceship, consisting of a glider-constructible seed constellation entirely made of pulsars and a single glider hitting the constellation to build universal construction machinery that reconstructs the whole thing with a nonzero displacement and self-destructs a gazillion ticks later.

Anyway, I didn't yet find any one-time splitters/turners by manual searching, and didn't want to use software for this.

[confocaloid]

crosspost

Beehive at beehive:

Code: Select all

x = 73, y = 72, rule = B3/S23
17bo$18bo$16b3o5$41b3o3b3o2$39bo4bobo4bo$39bo4bobo4bo$39bo4bobo4bo$16b
2o5b2o16b3o3b3o$17b2o3b2o$14bo2bobobobo2bo14b3o3b3o$14b3ob2ob2ob3o12b
o4bobo4bo$15bobobobobobo13bo4bobo4bo$16b3o3b3o14bo4bobo4bo2$16b3o3b3o
16b3o3b3o$15bobobobobobo$14b3ob2ob2ob3o$14bo2bobobobo2bo$17b2o3b2o11b
3o3b3o$16b2o5b2o$33bo4bobo4bo$33bo4bobo4bo$19b3o3b3o5bo4bobo4bo$35b3o
3b3o$17bo4bobo4bo$17bo4bobo4bo5b3o3b3o$17bo4bobo4bo3bo4bobo4bo$19b3o3b
3o5bo4bobo4bo$2b3o3b3o22bo4bobo4bo$19b3o3b3o$o4bobo4bo4bo4bobo4bo5b3o
3b3o$o4bobo4bo4bo4bobo4bo$o4bobo4bo4bo4bobo4bo$2b3o3b3o27bo5bo$19b3o3b
3o10bo5bo$2b3o3b3o27b2o3b2o$o4bobo4bo$o4bobo4bo21b3o2b2ob2o2b3o$o4bob
o4bo23bobobobobobo$38b2o3b2o17b2o5b2o$2b3o3b3o52b2o3b2o$38b2o3b2o15bo
2bobobobo2bo$36bobobobobobo13b3ob2ob2ob3o$34b3o2b2ob2o2b3o12bobobobob
obo$62b3o3b3o$38b2o3b2o$38bo5bo17b3o3b3o$38bo5bo16bobobobobobo$60b3ob
2ob2ob3o$60bo2bobobobo2bo$63b2o3b2o$62b2o5b2o3$44b3o3b3o2$42bo4bobo4b
o$42bo4bobo4bo$42bo4bobo4bo$44b3o3b3o2$44b3o3b3o$42bo4bobo4bo$42bo4bo
bo4bo$42bo4bobo4bo2$44b3o3b3o!

[tommyaweosme]

Code: Select all

x = 42, y = 55, rule = B3/S23
3o$obo$obo$obo$3o48$39b2o$39bobo$39bo!

~3k methuselah