For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Phi spark moves a block over two spaces as it dissipates. Kinda fun to watch.

x = 6, y = 9, rule = B3/S23
3bo$2b3o$bobobo$bobobo$2b3o$3bo2$2o$2o! Methuselahs unbound. NotAvailableCooper Posts: 12 Joined: August 10th, 2014, 7:56 pm ### Re: Thread For Your Useless Discoveries Modified Pipsquirter 2 extends Pentoad reaction by 2 generations with sparks. x = 31, y = 36, rule = B3/S23 23bo2bo2bo$20bo2b7o$20b3o$24bob2o$22b3o3bo$21bo4bobo$20bob2obo2b2o$20b
obo3bobo$19b2o2bob2obo$21bobo4bobo$21bobobobob2o$20b2obobobo$9b2o11bo 4bo$5b2obobo11bobob2ob2o$5b2obobob2o7b2obo3bobo$8bo2bo3bo8b4o$8bo7bob 2o2b2o$3bo2bob2o6bo7b4o$3b4o7bo6b2obo2bo$7b2o2b2obo7bo$3b4o8bo3bo2bo$o
bo3bob2o7b2obobob2o$2ob2obobo11bobob2o$3bo4bo11b2o$3bobobob2o$2obobobo
bo$obo4bobo$2bob2obo2b2o$2bobo3bobo$b2o2bob2obo$2bobo4bo$2bo3b3o$3b2ob o$8b3o$b7o2bo$bo2bo2bo!
Methuselahs unbound.
NotAvailableCooper

Posts: 12
Joined: August 10th, 2014, 7:56 pm

Here's a 3 glider collision that creates a dead spark coil after 119 gen.

#CXRLE Pos=1,-8x = 9, y = 12, rule = B3/S237bo$6bo$6b3o6$b2o$obob2o$2bobobo$4bo!
pi_guy314

Posts: 88
Joined: July 21st, 2014, 9:45 pm

pi_guy314 wrote:Here's a 3 glider collision that creates a dead spark coil after 119 gen.

I was wondering why this has never been reported before, until I examined the starting position more closely. The two bottom gliders could not have reached this position unless they were created there - they would normally have interacted two generations earlier. When running collisions of multiple gliders, it's often a good idea to move them back a bit to ensure that they don't hit earlier than expected. (For example, in my glider synthesis expert system, all the recipes are created with the gliders moved back 25 squares - i.e. 100 generations - to avoid similar surprises.)
mniemiec

Posts: 1027
Joined: June 1st, 2013, 12:00 am

Zoo.
Birds in a cage (the objects in a confined space)
I've been wanting to know the behavior of living objects (birds) in the space defined by a fixed boundary (cage).
Here are same birds in cages, which I found.
x = 308, y = 136, rule = B3/S2336bo18b2o18b2o19b2o15b2o2b2o16b2o2b2o2b2o15b2o2b2o19b2o2b2o19b2o2b2o2b2o15b2ob2o2b2o$35bobo17b2o18b2o19b2o15b2o2b2o16b2o2b2o2b2o15b2o2b2o19b2o2b2o19b2o2b2o2b2o15b2ob2o2b2o$5b2obo27bo$5bob2o44b6o14b6o15b4o15b8o12b14o11b10o15b10o15b12o13b11o$9b2o23b5o13bo6bo12bo6bo13bo4bo13bo8bo7b2obo5bo2bo5bob2o6bo3bo6bo13bo6bo3bo10b2obobo8bobo11bo11bo$9bo23bo3bobo12bo2b3obo12bob4obo9b2o2bob2obo2b2o9bo2b5obo7b2obo2b2o6b2o2bob2o6bob2ob2ob2obo13bobo3bob2obo10b2ob2o2b2o2b2o2b2o11bo3b2ob2o3bo$10bo19bo2bo4b2o2bo6b2obobo2bobob2o6b2obobo2bobob2o6bobobo2bobobobo6b2obobo4bobob2o7bobob8obobo6b2obob2ob2ob2obob2o7b2obob2ob4o2bob2o10bo4bo2bo4bob2o5b2obo4bobo4bob2o$9b2o18bobobo5bobobo5b2obobo4bob2o6b2obobo4bob2o8bobo4bobo8b2obo2bo2bo2bob2o4b2obob2o8b2obob2o3b2obo9b2ob2o7b2ob2obo7bob2o10bobo8bobob2o5b2obobo2bobo2bobob2o$5b2obo21bo2b2o4bo2bo9bob2o3bo12bob2o3bo9bobobo2bobobobo9b2ob4ob2o7b2obobob8obobob2o6bob2ob2ob2obo13bob2ob2obo2bo10b2obob2o6b2obo11bob3o3b3obo$5bob2o24bobo3bo12bo6bo12bo6bo9b2o2bob2obo2b2o6b2obo2bo2bo2bob2o7bo2b2o6b2o2bo9bob2ob2ob2obo13bo2bob2ob2obo10b2obo12bo8b2obo11bob2o$3b2o29b5o14b6o14b6o14bo4bo10b2obobo4bobob2o7bo5bo2bo5bo6b2ob2o9bob2o7b2obo7bob2ob2o10bo12bob2o5b2obob3o3b3obob2o$3bo90b4o14bob2o2b2obo11b14o7b2obob2ob2ob2obob2o7b2obo2b4ob2obob2o10bob2o6b2obob2o8bobo2bobo2bobo$4bo31bo18b2o18b2o35bo8bo35bob2ob2ob2obo13bob2obo3bobo10b2obobo8bobo11bo4bobo4bo$3b2o30bobo17b2o18b2o17b2o17b8o14b2o2b2o2b2o12bo6bo3bo13bo3bo6bo10b2obo4bo2bo4bo8b2obo3b2ob2o3bob2o$5b2obo27bo57b2o39b2o2b2o2b2o13b10o15b10o14b2o2b2o2b2o2b2ob2o5b2obo11bob2o$5bob2o104b2o2b2o88bobo8bobob2o9b11o$113b2o2b2o41b2o2b2o19b2o2b2o17b12o$160b2o2b2o19b2o2b2o42b2ob2o2b2o$208b2o2b2o2b2o15b2ob2o2b2o$208b2o2b2o2b2o6$4b2obo27b2o18b2o2b2o14b2ob2o15b2o2b2o2b2o15b2ob2o2b2o16b2ob2o2b2o16b2ob2o2b2o16b2ob2o2b2o16b2ob2o2b2o16b2ob2o2b2o16b2ob2o2b2o16b2ob2o2b2o$4bob2o27b2o18b2o2b2o14b2ob2o15b2o2b2o2b2o15b2ob2o2b2o16b2ob2o2b2o16b2ob2o2b2o16b2ob2o2b2o16b2ob2o2b2o16b2ob2o2b2o16b2ob2o2b2o16b2ob2o2b2o$8b2o$8bo24b6o14b8o12b9o11b12o13b11o14b11o14b11o14b11o14b11o14b11o14b11o14b11o$9bo22bo6bo12bo8bo7b2obobo2bo2bobo6b2obo3bo8bo8b2obo9bobo9b2obo3bo7bo9b2obo2bo6bobo9b2obo11bo9b2obo11bo9b2obo11bo9b2obo11bo9b2obo11bo$8b2o22bo2b2o2bo12bob2o2b2obo7b2obo9bo6b2obob2o4bob2obo8b2ob2o2bob2o4bo9b2obobo3b2ob2obo9b2ob2o3bob2o3bo9b2obo2bobob3o2bo9b2obob2obob4obo9b2obob2ob2o2b2obo9b2obo2bob2ob2o2bo9b2obob2ob2ob3obo$4b2obo21b2obobo2bobob2o6b2obob2o2bo2bob2o7bo9bob2o6bob2o3b2ob2obob2o8bo3b2obo4bob2o9bob4obobo2bob2o9bo3b2obo3b2ob2o9bobob2obo2bobob2o9bobob2obo2bobob2o9bobob2obo2bobob2o9bobob2obo2bobob2o9bobob2obo2bobob2o$4bob2o21b2obobo2bobob2o6b2ob2o7bob2o4b2obo2bo3bo2bob2o6bo11b2ob2o8bo6bob2obob2o9bo6bobob2ob2o9bobo4bobo2bob2o9bobo4bobo2bob2o9bobo4bobo2bob2o9bo6bobo2bob2o9bobo4bobo2bob2o9bobo4bobo2bob2o$8b2o22bobo2bobo12bo8bo7b2obob2o3b2obo6b2obob2o9bo8b2obob4obobo2bo9b2obob4obobo2bo9b2obob4obob2obo9b2obob4obob2obo9b2obob4obob2obo9b2obo2b3obob2obo9b2obo2b3obob2obo9b2obo2b3obob2obo$8bo20b2obo6bob2o6b2obo7b2ob2o7bo9bob2o3b2obo2bo9bo8b2obobo7bobob2o6b2obobo7bobob2o6b2obo11bob2o6b2obo11bob2o6b2obo11bob2o6b2obobo7bobob2o6b2obobo7bobob2o6b2obobo7bobob2o$9bo19b2ob2o4b2ob2o6b2obo2bo2b2obob2o7bob2o3b2obob2o6bo9bo2bob2o8bo2bobob4obob2o9bo2bobob4obob2o9bob2obob4obob2o9bob2obob4obob2o9bob2obob4obob2o9bob2obob3o2bob2o9bob2obob3o2bob2o9bob2obob3o2bob2o$8b2o22bo6bo12bob2o2b2obo7b2obo2bo3bo2bo9bo9b2obob2o5b2obob2obo6bo9b2ob2obobo6bo9b2obo2bobo4bobo9b2obo2bobo4bobo9b2obo2bobo4bobo9b2obo2bobo6bo9b2obo2bobo4bobo9b2obo2bobo4bobo$4b2obo24bobo2bobo12bo8bo7b2obo9bo6b2ob2o11bo8b2obo4bob2o3bo9b2obo2bobob4obo9b2ob2o3bob2o3bo9b2obobo2bob2obobo9b2obobo2bob2obobo9b2obobo2bob2obobo9b2obobo2bob2obobo9b2obobo2bob2obobo$4bob2o25b6o14b8o11bo9bob2o3b2obob2ob2o3b2obo11bo4b2obo2b2ob2o9bob2ob2o3bobob2o9bo3b2obo3b2ob2o9bo2b3obobo2bob2o9bob4obob2obob2o9bob2o2b2ob2obob2o9bo2b2ob2obo2bob2o9bob3ob2ob2obob2o$72bobo2bo2bobob2o6bob2obo4b2obob2o8bobo9bob2o9bo7bo3bob2o9bobo6bo2bob2o9bo11bob2o9bo11bob2o9bo11bob2o9bo11bob2o9bo11bob2o$35b2o16b2o2b2o14b9o10bo8bo3bob2o9b11o14b11o14b11o14b11o14b11o14b11o14b11o14b11o$35b2o16b2o2b2o34b12o$75b2ob2o38b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o$75b2ob2o13b2o2b2o2b2o15b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o$93b2o2b2o2b2o4$4b2o4b2o$5bo5bo$4bo5bo24b2o16b2o15b2ob2o$4b2o4b2o23b2o16b2o15b2ob2o$6bob2o$6b2obo23b4o14b4o13b9o$10b2o17b2obo2bobo9b2obo2bobo11bo9bo$11bo17b2obobo2bo9b2obobo2bo11b2o2b3o2b2o$10bo21bobo2bob2o9bo3b2ob2o5b2obo9bob2o$10b2o20bo4bob2o9bo4bob2o5b2obo3bobo3bob2o$33b4o14b4o12b2o3bo3b2o$10b2o55bo2bo3bo2bo$10b2o23b2o16b2o13b9o$35b2o16b2o$70b2ob2o$70b2ob2o7$35b2ob2ob2o$35b2ob2ob2o$7b2obo$7bob2o22b12o$5b2o25bo12bo$5bo26bobobo3bob2obo$6bo22b2obob2o3b2obo2bob2o$5b2o22b2obo12bob2o$7b2obo21bob2o3b2obo2bo$7bob2o18b2obobobo3bob2obob2o$5b2o4b2o16b2obo12bob2o$5bo5bo21b12o$6bo5bo$5b2o4b2o22b2ob2ob2o$7b2obo24b2ob2ob2o$7bob2o9$7bob2o$7b2obo24b2o18b2o2b2o14b2o2b2o14b2o2b2o14b2o2b2o14b2o2b2o19b2o2b2o19b2o2b2o19b2o2b2o19b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o$11b2o22b2o18b2o2b2o14b2o2b2o14b2o2b2o14b2o2b2o14b2o2b2o19b2o2b2o19b2o2b2o19b2o2b2o19b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o$12bo$11bo21b6o14b8o12b8o12b8o12b10o10b10o15b10o15b10o15b10o15b11o14b11o14b11o$11b2o19bobo4bo12bo8bo10bo8bo7b2obo8bo10bo10bo8bo10bo13bo10bo13bo10bo13bo10bo10b2obo11bo9b2obo11bo9b2obo11bo$9b2o21bo3b2obo12bo3b3o2bo10bo3b4obo7b2obo3b3o2bo10bo3b4o3bo8bo3b4o3bo13bo3b4o3bo13bo3b4o3bo13bo3bo2bo3bo10b2obobob7obo9b2obo3b2ob3o2bo9b2obo3b2ob3o2bo$10bo18b2ob2o3bobob2o6b2obobobo2bobob2o4b2obobobo2bobob2o7bobo2bo3bob2o4b2obobobo2bobobob2o2b2obobobo2bobobob2o7b2obobobo2bobobob2o7b2obobobo2bobobob2o7b2obobob4obobob2o10bobobo2bo4bob2o9bobobob2o4bob2o9bobo2b2obo3bob2o$9bo19b2obo2bo3bob2o6b2obobo4bobob2o4b2obobo4bobob2o7bob2o3bobob2o4b2obobo6bobob2o2b2obobo6bobob2o7b2obobo6bobob2o7b2obobo6bobob2o7b2obobo6bobob2o10bobo6b2obob2o9bobo6b2obob2o9bob2o6bobob2o$9b2o21bob3o2bo12bob6obo10bob6obo7b2obobo3b2obo10bob2o4b2obo8bob2o4b2obo13bob2o4b2obo13bob2o4b2obo13bob8obo10b2obob2o6bobo9b2obob2o6bobo9b2obobo6b2obo$7b2o23bo6bo12bo8bo10bo8bo7b2obo3bo2bobo7b2obo3bo2bo3bob2o2b2obobo6bobob2o7b2obo10bob2o7b2obo3bo2bo3bob2o7b2obo10bob2o7b2obobo7bobo9b2obo2bo5bo2bo9b2obo2bo5bo2bo$8bo24b6o14b8o12b8o11bo2b3o3bob2o4b2obo3bo2bo3bob2o2b2obobobo2bobobob2o7b2obob2o4b2obob2o7b2obob2o4b2obob2o7b2obob8obob2o10bobo6b2obob2o9bobo6b2obob2o9bob2o6bobob2o$7bo84bo8bob2o7bob2o4b2obo8bo3b4o3bo13bobo6bobo13bobo6bobo13bobo6bobo10b2obob2o6bobob2o6b2obob2o6bobob2o6b2obobo6b2obob2o$7b2o26b2o18b2o2b2o14b2o2b2o12b8o8b2obobo6bobob2o5bo10bo13bobobo2bobobo13bobobo2bobobo13bobob4obobo10b2obo4bo2bobobo9b2obo4b2obobobo9b2obo3bob2o2bobo$35b2o18b2o2b2o14b2o2b2o28b2obobobo2bobobob2o6b10o11b2obo3b4o3bob2o7b2obo3b4o3bob2o7b2obo3bo2bo3bob2o10bob7obobob2o9bo2b3ob2o3bob2o9bo2b3ob2o3bob2o$93b2o2b2o13bo3b4o3bo30b2obo10bob2o7b2obo10bob2o7b2obo10bob2o10bo11bob2o9bo11bob2o9bo11bob2o$93b2o2b2o13bo10bo11b2o2b2o17b10o15b10o15b10o15b11o14b11o14b11o$113b10o12b2o2b2o$160b2o2b2o19b2o2b2o19b2o2b2o17b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o$115b2o2b2o39b2o2b2o19b2o2b2o19b2o2b2o17b2o2b2ob2o16b2o2b2ob2o16b2o2b2ob2o$115b2o2b2o5$7b2obo$2o5bob2o143b2obo21b2o2b2o2b2o2b2o$o10b2o22b2ob2o2b2ob2o24b2o3b2o4b2o70bob2o4b2o15b2o2b2o2b2o2b2o38b2obo6b2obo$bo9bo23b2ob2o2b2ob2o24bo5bo5bo22b2o2b2ob2o43b2o2bo68bob2o6bob2o20b2o2b2o2b2o2b2o$2o10bo59bo3bo5bo23b2o2b2ob2o43bo4bo13b18o40b2o2b2o4b2o18b2o2b2o2b2o2b2o$o10b2o20b16o22b2o3b2o4b2o75bo2b2o12bo6bo11bo39bo3bo5bo$bo5b2obo21bo12bo3bo21bo6bob2o22b13o41b2o2bo13bo2b3o3b2ob5ob2o40bo3bo5bo16b18o$2o5bob2o21b2o2b3o2b2o5b2o22bo5b2obo21bo13bo36b2obo5bo9b2obobo7bobo2bo3bob2o36b2o2b2o4b2o15bo2bo3bo11bo$o4b2o22b2obo9bo6bob2o18b2o9b2o19bo3b4ob4obo36bob2o4b2o9b2obobo7bobo4bobob2o32b2obo6b2obo17b2o3bo3b2ob5ob2o$bo3bo23b2obo3bobo3bob2o3bob2o18bo11bo16b2obobobo2bobo2bobob2o31b2o8bo13bo2b3o3b2ob6obo35bob2o6bob2o14b2obo3bobo3bobo2bo3bob2o$2o4bo25b2o3bo3b2obo3b2o22bo9bo17b2obobo4bobo4bob2o31bo10bo12bo6bo11bo33b2o8b2o4b2o12b2obo9bobo4bobob2o$o4b2o25bo2bo3bo9bo21b2o9b2o19bob6ob2o3bo35bo8b2o13b18o34bo9bo5bo16b2o2b3o2b2ob6obo$bo5b2obo22b16o22bo31bo13bo34b2o8bo67bo9bo5bo15bo18bo$2o5bob2o61bo9b2o20b13o37b2obo5bo15b2o2b2o2b2o2b2o36b2o8b2o4b2o16b18o$35b2ob2o2b2ob2o24b2o9b2o70bob2o4b2o15b2o2b2o2b2o2b2o38b2obo6b2obo$35b2ob2o2b2ob2o59b2o2b2ob2o116bob2o6bob2o20b2o2b2o2b2o2b2o$106b2o2b2ob2o150b2o2b2o2b2o2b2o! Bob Shemyakin BobShemyakin Posts: 214 Joined: June 15th, 2014, 6:24 am ### Re: Thread For Your Useless Discoveries Bob: those are billard-table oscillators. This term means that the stator entirely contains the rotor (the stator can be somewhat "open" in some cases). Furthermore, most of your oscillators are either clones with the same rotor, either already known, I fear. finally, the 3 last ones are "trivial oscillators". It means that no cell has a period of 14/21/28, and that therefore we have to consider it as two separates oscillators. This is game of life, this is game of life! Loafin' ships eaten with a knife! towerator Posts: 328 Joined: September 2nd, 2013, 3:03 pm ### Re: Thread For Your Useless Discoveries Interesting, but useless, predecessor of a p2 oscillator: x = 10, y = 10, rule = B3/S234b2o$3bo2bo$3bobo$b2obo3bo$o2b2o2bobo$obo2b2o2bo$bo3bob2o$4bobo$3bo2bo$4b2o!

Note how the bakery is destroyed and later reforms.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1818
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

Schick-based puffer emits a LWSS each period.
x = 410, y = 54, rule = B3/S23348bo$347bo47bo$348bo45bobo$355b2o37bo2bo$354bo2b2obo34b2o$319bo34bo4bobo9bo$317bobo36b2o3bo9bo$316b2o28b2o7bo3bobo7bo8bo$315b2o4bo25bobo3b2o5bo3b2o3b2o6bo2bo$317bob3o25b2obo2bo2bo2bobo2b2ob2obobo3bo4bo$319b2o28bo3b2obobo2b2ob6obo3bo5bo$312bo36b2o10bo6bo11b2o$312b4o37bo5bo16bo2bo$311bo2bo2bo59b3o$312b4o8bo$64bo82bo47bo47bo47bo20bo10b3o13bo$64bo26b2o4b2o9bo30b2o5bobo38b2o5bobo38b2o5bobo46bo25bo5b3o13bo$64bo26b2o3b2ob2o6bobo29b2o5b2o39b2o5b2o39b2o5b2o47bo25b3o3b2ob2o9bo$107bobo212bo3b2o8b3o30bo10b3o$98bo9bo161b3o50b2o10bo33bo$89bo4b2o2bo2bo2b2o163b5o6b2o44b2o7bo2bo29bo$87bobo5bo2bo4bob2o5b2o39bo6b2o39bo6b2o11b2o26bo6b2o10b2o3b2o5b3o21b2o9b2o6b5o7b2ob2o12b2o14b3o16bo12b2o$86b2o5bo2bo4b3o8b2o38bobo5b2o38bobo5b2o10bo2bo24bobo5b2o9b3o3bo9bo20b2o8bo2bo5b5o9b2o13b2o14b2ob2o14bo12b2o$94b2o2bobo3bo48b2o15b2o29b2o18b2o26b2o17b5o8bo32bo2bo51bo2bo14bo$93b3o12bo31b2o28b2o16b2o46b2o31bob2o7bobob2o28b2obo12bobo36bo2bo$93bobo12bo31b2o46b2o46b2o32bo9bo4bo28b2ob2o13b2o35bobo11b3o3b3o$56b2o10bo24bobo184b5o30bo2bo13b3o32b2ob2o$55bo11bobo24b2o24b2o160b2o32b2o14b2o5b2o26b2ob2o15bo$39bo15b3o2b3o4bobo49bo2bo114bo86b3o5bob4o2b2o19bo7bo17bo$38b3o20b2o5bo50bo2bo2b2o45bo58b4obobo59b2o24b2o6bobob2o8b2o12bo26bo$37b2o2bo15b2ob3o56bo4bo2bo43b3o56b7ob2o58b2o34bo4bo6b2o$38bo2bo15b4o17bo41bobo6b2o40b4o47b2o5b2obo3bo97b2o2b2o20bo2bo$38bo2bo15bo3bo15bobo43bo7bo42b2o43b2o2bo4b3ob2obobo45b2o49b2o2b2o45bo$58bo2bo16bo42bo5bo2bo43b2o56bo2bo46bo2bo51bo47bo$15b3o25bo15b3o59bo6b2o44bo43bo3bo12bo32b3o11bobo48bob3o47bo$14b5o20b2o128b2o2b2o43bo3b3ob3o44b2o8bo50b3o$13b2ob3o45b2o153b2o2b4obo3bob2o37b2o106b3o$14b2o20b2o3b2o19b2o2bo106bo49bo3b2o4b2o85bo15b3o$24bo12bo2b3o18b2ob2o81b2o24bo21b2o26bobo7bo9b2o34b2o10b2o26bobo$23bobo13bob2o104b2o24bo21b2o38bo7b2o34bobo9b2o25bobo6b2o36b2o$b2o19bo3bo12b3ob2o72b2o46b2o68bo44bo37b2o45b2o$2ob2o8bo9bobo17b2o72b2o46b2o51b2o99b3o$b4o3bo4bobo23b2o2b2o16b2obobo11bo138bo2bo99bobo9b3o$2b2o3bo5bo2bo6bo15bob2o6b2o14b3o11bo64b2o46b2o24b2o20b2o22b2o22b2o22b2o5b2obo8bo2bo25b2o46b2o$6bo2bo6bo7b2o14b2o6bo2bo15bo11bo35b2o27bobo16b2o27bobo16b2o27bobo16b2o3b2o10b3o9bobo16b2o3b2o7bo8bo2b2o20b2o3b2o41b2o3b2o$2b2o3bo5bo2bo5bobo15b2o7b2o14b3o47b2o28bo17b2o28bo17b2o28bo17b2o28bo17b2o22b2o22b2o46b2o$b4o3bo4bobo7bo118bo47bo47bo35bo5bo5bo40bo3bo$2ob2o8bo79b3o46bo47bo47bo35bo5bo5bo39bo$b2o139bo47bo47bo35bo5bo5bo43b2o$69bo47bo47bo47bo47bo47bo21b2o24bo47bo$69bo47bo47bo47bo47bo14b3o30bo20b2o25bo47bo$69bo47bo47bo47bo47bo47bo16bob3o26bo47bo$327b2o46b3o$328bo! x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1818 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Thread For Your Useless Discoveries Did you get it from this post? Ivan Fomichev codeholic Moderator Posts: 1141 Joined: September 13th, 2011, 8:23 am Location: Hamburg, Germany ### Re: Thread For Your Useless Discoveries That's funny! I discovered this independently a few months ago, and now someone beats me to posting it by less than a week. Oh, well. x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1818 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Thread For Your Useless Discoveries P2 billiard table with 8 different interdependent rotors: x = 17, y = 20, rule = B3/S2310b2o$10bo$5b2o4bo$5bo4b2o$6b3o6b2o$9b5o2bo$4b3o7b2o$3bobob5o$3bobo4bob4o$4b3ob2o5bo$bo6b5o$b4o8bo$4b6o3bo$b3o5b4o$o2b6o$2o6b3o$5b2o4bo$5bo4b2o$6bo$5b2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1818
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

I found a few oscillators:
x = 166, y = 139, rule = B3/S23120b2o2b2o$120b2o2b2o$76b2o2b2o2b2ob2o10b2o$7b2obo18bo12bo3bo12bobo4bo9b2o2b2o2b2ob2o12bo16b10o$7bob2o16bobo10bobobobobo11bo2b2obobo29bo18bo3bo6bo$11b2o13bo4bo10bobo13b2o3b3obo6b15o9bob4o13bob2obo3bobo$11bo15b4obo6b2obob6o10b2o3bo2bo5bo13bo7bobo6bo8b2obo2b4ob2obob2o$12bo11b2obo2bo11bo16b2o16b3ob2ob3o8bo2bo3bo2bo8b2obo7bob2ob2o$11b2o14bo2bob2o6b3o3b3o10b2o5b2o8bo4b2o12bo6bobo12bo2bob2ob2obo$7b2obo14bob4o15bo19b2o13b2o4bo9b4obo14bob2ob2obo2bo$7bob2o15bo4bo7b6obob2o8bo2bo3b2o10b3ob2ob3o15bo11b2ob2obo7bob2o$5b2o21bobo13bobo12bob3o3b2o6bo13bo9bo14b2obob2ob4o2bob2o$5bo22bo11bobobobobo9bobob2o2bo8b15o10b2o15bobo3bob2obo$6bo35bo3bo13bo4bobo49bo6bo3bo$5b2o68b2ob2o2b2o2b2o30b10o$7b2obo64b2ob2o2b2o2b2o$7bob2o109b2o2b2o$120b2o2b2o4$97b2ob2o$31b2o19bo44b2ob2o$30bo2bo18b3o12bo11b2o$30b3o17b2o3bo9bobobo9bo2b2o13b2ob4ob2ob2o$49bobob3o9bobobobo8bobobob2o9b2obo2bob2ob2o$30b3o16bobo4b2o6bobobobo8b2obob2obo13bobo$30bo2bo14b2o4bobo9bobobo7bo18b3o5b2ob2o$32bobob2ob2o9b3obobo11bo9b3o3b3o10bo6bobob2o$30bo6bobobo8bo3b2o30bo7b2obobo6bo$25bo3bo5bobobobo9b3o23bob2obob2o8b2ob2o5b3o$24bobobobo5bo3bo12bo23b2obobobo15bobo$24bobobo6bo45b2o2bo8b2ob2obo2bob2o$25b2ob2obobo50b2o8b2ob2ob4ob2o$32bo2bo$33b3o66b2ob2o$102b2ob2o$33b3o$32bo2bo$33b2o7$50b2o28b2o24b2o$50b2o27bo2bo22bo2bo18bo$3b2obo72b3o23b3o17b3o$3bob2o20b2o4b2o15b4ob2o19bo7bo17bo7bo13bo$7b2o15bo2bo6bo2bo9bobo3bobo20b9o17b9o12bobob3o3b2o$7bo15bobobobo2bobobobo8b2obo5bo13b2o51bobobo2bobobo$8bo15bo2bobo2bobo2bo12bob4obob2o10bo2b6ob2o19b2obobob2o11b2obo4bobo$7b2o18bobo2bobo12b2obo6bob2o10bobo5bo3bo14b2obo2bobobo2bob2o10bobo2bob2o$3b2obo21bo4bo13bo2bo3bo2bo10b2obobob2o4bobo15bobo2bo3bo2bobo11bobo4bo$3bob2o37b2obo6bob2o9bobobo4bo3b2obob2o9bo2bo2b2o2bo2b2o2bo10b2obo2bobo$7b2o35b2obob4obo12bobobob2o8bobo9bobobobo4bo4bobob2o8bo2b3ob2o$7bo40bo5bob2o10bo2bobo9bobo9bobobo2bob2ob2obo2bobobo7bo$8bo40bobo3bobo13bobo8b2obob2o7b2obobo4bo4bobobobo8b3o$7b2o39b2ob4o15b2obob2o3bo4bobobo9bo2b2o2bo2b2o2bo2bo11bo$3b2obo66bobo4b2obobobobo9bobo2bo3bo2bobo$3bob2o46b2o18bo3bo5bobo2bo9b2obo2bobobo2bob2o$53b2o19b2ob6o2bo16b2obobob2o$85b2o$72b9o21b9o$72bo7bo21bo7bo$75b3o27b3o$75bo2bo25bo2bo$76b2o27b2o6$51b2o20bo19b2o$49bo2bo19bobo18b2o$2o4b2o19b2ob2o17b3o21bo$bo5bo19b2ob2o59b4o17b2o2b2o14b2o2b2o14b2o6b2o$o5bo40b7o17b5o14bo4bo15bobo2bobo12bobo2bobo9b2obobo6bobo$2o4b2o17b7o14bo3bo3bo15bo5bo13bob2obo15bo6bo12bo6bo9b2obo4b2o4bo$2bob2o15b2obo7bob2o7bo2bobo3bobo2bo12bo2b2obo10b2obo2bobob2o9b2ob2o5bob2o6b2ob2o5bob2o9b2o2bo2bo2b2ob2o$2b2obo14bobob3o3b3obobo5bobobo2bobo2bobobo8b2obobobobob2o7b2ob2obobob2o9b2obo2bobobob2o6b2obo2bobobob2o9bobo2b2o2bobob2o$6b2o12bobobo2bobo2bobobo6bo2b2obobob2o2bo9b2obobo3bob2o10bo4bo15bobo2bobo12bobo2bobo9b2obo2b2o2b2o2bo$7bo13bo3b2o3b2o3bo10bo7bo15bobo3bo13bo4bo15bobo2bobo9b2obo2bobobob2o6b2obo4b2o4bo$6bo40b7o13b2obobo3bob2o7b2obobob2ob2o9b2obobobo2bob2o6b2ob2o5bob2o9bo2b2o2b2o2bob2o$6b2o59b2obobobobob2o7b2obobo2bob2o9b2obo5b2ob2o9bo6bo9b2obobo2b2o2bobob2o$49b3o18bo2b2obo13bob2obo15bo6bo12bobo2bobo9b2ob2o2bo2bo2b2o$48bo2bo18bo5bo13bo4bo15bobo2bobo13b2o2b2o13bo4b2o4bob2o$6b2o40b2o21b5o15b4o17b2o2b2o33bobo6bobob2o$6b2o144b2o6b2o$73bo17b2o$72bobo16b2o$73bo7$2b2obo22bo2bo$2bob2o22b4o$2o$o22b2ob8ob2o$bo22bobo6bobo$2o19bo2bobob4obobo$2b2obo14bobobo3bo2bo3bob2o$2bob2o14bobobo10bobobo$6b2o13b2obo3bo2bo3bobobo$6bo17bobob4obobo2bo$7bo16bobo6bobo$6b2o15b2ob8ob2o$2b2obo$2bob2o22b4o$28bo2bo12$3b2obo21b2o2b2o$3bob2o22bo2bo4bo$b2o4b2o15b2obo6bobobo$bo5bo15bobob2o4b2obobo$2bo5bo14bobo10bobob2o$b2o4b2o11b2obob2obo4bob2obob2o$3b2obo13b2obobo10bobo$3bob2o16bobob2o4b2obobo$b2o4b2o14bobobo6bob2o$bo5bo16bo4bo2bo$2bo5bo19b2o2b2o$b2o4b2o$3b2obo$3bob2o! Bob Shemyakin BobShemyakin Posts: 214 Joined: June 15th, 2014, 6:24 am ### Re: Thread For Your Useless Discoveries 7-cell, 3x5 methuselah lasts 1675 gens. x = 5, y = 3, rule = B3/S232b2o$bobo$2o2bo! x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1818 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Thread For Your Useless Discoveries Two blocks + four stairstep hexominoes -> P6 A for All (+ loads of other stuff): x = 16, y = 16, rule = B3/S233bo8bo$3b2o6b2o$4b2o4b2o$5bo4bo4$2o12b2o$2o12b2o4$5bo4bo$4b2o4b2o$3b2o6b2o$3bo8bo!

EDIT: two fleet predecessors + pond -> some p5 fumarole-thing...
x = 8, y = 20, rule = B3/S232o$obo$b2o$3bo5$5b2o$4bo2bo$4bo2bo$5b2o5$3bo$b2o$obo$2o! Lewis Posts: 320 Joined: March 17th, 2009, 5:26 pm Location: UK ### Re: Thread For Your Useless Discoveries 4 blocks + some junk -> twin bees shuttle variant (amongst other things): x = 27, y = 21, rule = B3/S2311b2ob2o$11b2ob2o2$3o21b3o$2ob3o15b3ob2o12$2ob3o15b3ob2o$3o21b3o2$11b2ob2o$11b2ob2o!

APGsearch doesn't properly detect this, it just labels it as 'OVERSIZED'.

Lewis

Posts: 320
Joined: March 17th, 2009, 5:26 pm
Location: UK

Lewis wrote:4 blocks + some junk -> twin bees shuttle variant (amongst other things):
x = 27, y = 21, rule = B3/S2311b2ob2o$11b2ob2o2$3o21b3o$2ob3o15b3ob2o12$2ob3o15b3ob2o$3o21b3o2$11b2ob2o$11b2ob2o! APGsearch doesn't properly detect this, it just labels it as 'OVERSIZED'. That "some junk" is the same as four R-loaves, just along a slightly different predecessor path: x = 23, y = 21, rule = B3/S239b2ob2o$9b2ob2o$2o19b2o$obo17bobo$o2bo15bo2bo$b2o17b2o10$b2o17b2o$o2bo15bo2bo$obo17bobo$2o19b2o$9b2ob2o$9b2ob2o!
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1768
Joined: June 16th, 2009, 11:24 pm
Location: USA

codeholic wrote:
Alexey_Nigin wrote:Five 2c/5 spaceships can pull a bi-block.

Ha! Nice base for a rubegoldbergian sawtooth!

Ha! I think I made that rubegoldbergian sawtooth!
(Warning: It's veeery slow and painful to watch. Hyperspeed recommended.)
x = 1075, y = 854, rule = 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Any 2c/5 gun with period 42k will work. For me, that's easier said than done. I added the x7 filter in front of the p690 gun to make a p4830 gun, making the sawtooth a catastrophe.
Best wishes to you, Scorbie

Scorbie

Posts: 1379
Joined: December 7th, 2013, 1:05 am

Lewis wrote:4 blocks + some junk -> twin bees shuttle variant (amongst other things):
x = 27, y = 21, rule = B3/S2311b2ob2o$11b2ob2o2$3o21b3o$2ob3o15b3ob2o12$2ob3o15b3ob2o$3o21b3o2$11b2ob2o$11b2ob2o! APGsearch doesn't properly detect this, it just labels it as 'OVERSIZED'. WOW... You must've searched a LOT to find that on soup searches... Did you tweak the source code to make symmetrical soups? Best wishes to you, Scorbie Scorbie Posts: 1379 Joined: December 7th, 2013, 1:05 am ### Re: Thread For Your Useless Discoveries Scorbie wrote:WOW... You must've searched a LOT to find that on soup searches... Did you tweak the source code to make symmetrical soups? Yep, I changed it so it generates soups with a line of symmetry through the middle. It also found this P4 oscillator which I've never seen mentioned anywhere before: x = 16, y = 16, rule = B3/S233b2obo2bob2o$2bo3bo2bo3bo$o2bob6obo2bo$2bob2ob2ob2obo$2b3o2b2o2b3o$b2obob4obob2o$4bo2b2o2bo$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$4bo2b2o2bo$b2obob4obob2o$2b3o2b2o2b3o$2bob2ob2ob2obo$o2bob6obo2bo$2bo3bo2bo3bo$3b2obo2bob2o!

EDIT: 4 blinkers + 2 B-heptominoes -> ash includes an unusual P3 oscillator:
x = 13, y = 23, rule = B3/S234b3o2$b2o7b3o$2o$b2o$2bo12$2bo$b2o$2o$b2o7b3o2$4b3o! EDIT 2: Soup generates two copies of a variation of 'Candelabra'. Sadly it forms almost immediately, and not from a particularly 'natural' mechanism... x = 16, y = 16, rule = B3/S23bob2o6b2obo$4b8o$2b3o6b3o$bo4b4o4bo$obo4b2o4bobo$4bobo2bobo$2ob2o2b2o2b2ob2o$3o4b2o4b3o$3o4b2o4b3o$2ob2o2b2o2b2ob2o$4bobo2bobo$obo4b2o4bobo$bo4b4o4bo$2b3o6b3o$4b8o$bob2o6b2obo!

Produces an interesting(ish) interaction between four pentadecathlons:
x = 16, y = 16, rule = B3/S232b2obob2obob2o$2o2bobo2bobo2b2o$b2o3b4o3b2o$b5ob2ob5o$2ob3ob2ob3ob2o$3b3ob2ob3o$bo12bo$o2b4o2b4o2bo$o2b4o2b4o2bo$bo12bo$3b3ob2ob3o$2ob3ob2ob3ob2o$b5ob2ob5o$b2o3b4o3b2o$2o2bobo2bobo2b2o\$2b2obob2obob2o!

Lewis

Posts: 320
Joined: March 17th, 2009, 5:26 pm
Location: UK

Lewis wrote:EDIT: 4 blinkers + 2 B-heptominoes -> ash includes an unusual P3 oscillator:

There is an existing synthesis of this oscillator (I believe by Jason Summers, also from a tamed soup) that requires 24 gliders. I suspect that this one will cost considerably less!
mniemiec

Posts: 1027
Joined: June 1st, 2013, 12:00 am

Scorbie wrote:Ha! I think I made that rubegoldbergian sawtooth!

Quite impressive! I particularly like how 2c/5 spaceships toggle the back end of the c/3 spaceship. I can imagine, it's been a challenge to find it! Or was it a lucky shot?
Ivan Fomichev

codeholic
Moderator

Posts: 1141
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

codeholic wrote:
Scorbie wrote:Ha! I think I made that rubegoldbergian sawtooth!

Quite impressive! I particularly like how 2c/5 spaceships toggle the back end of the c/3 spaceship. I can imagine, it's been a challenge to find it! Or was it a lucky shot?

Oh, it was merely a lucky shot in many ways.
I found that through trial and error, colliding the 2c/5 streams into various c/3 spaceships. I didn't expect a clean reaction, and was planning to clean the debris by c/3 rakes. It was lucky b/c 1) It's a clean reaction 2) It's a frothing ship 3) the period is 21<->6(as good as p3 according to tedious calculations)

By the way, can anybody build a p420 2c/5 gun?
Best wishes to you, Scorbie

Scorbie

Posts: 1379
Joined: December 7th, 2013, 1:05 am

Scorbie wrote:By the way, can anybody build a p420 2c/5 gun?

That would require speeding up the assembly itself a little bit. The current synthesis scheme just barely cannot handle being squeezed to p420 (the limit is p427). I haven't looked if this could be fixed just by tightening the salvos a little though or if more drastic changes would be required (e.g. using extra *WSS guns to synthesize things by octants rather than quadrants).

Tropylium

Posts: 406
Joined: May 31st, 2011, 7:12 pm
Location: Finland

Tropylium wrote:
Scorbie wrote:By the way, can anybody build a p420 2c/5 gun?

That would require speeding up the assembly itself a little bit. The current synthesis scheme just barely cannot handle being squeezed to p420 (the limit is p427).

The original 2c/5 spaceship gun was built at p416, which was the lower limit of an older recipe. See Golly's Patterns/Life/Guns/2c5-spaceship-gun-p416.rle. Any slower period is "trivial", as the saying goes -- you just need to supply a p420 edge-shooter based on the same Fx119 insertion reaction.

Given that p420 is a fairly easy period with lots of possible signal mechanisms, it's quite possible that a p420 edge-shooter can be fit inside the same bounding box as those old p416s. In that case, you can just replace all the guns without changing the locations, and the gun will still work fine. Or really it's probably easier to extract the four (or rather eight) separate glider salvos from the gun, and rebuild each shotgun separately with p420 inserters.

That's still a lot of fiddling around, though. It depends on how badly you want one of these things, I guess...!

EDIT: You can ignore my first suggestion -- a stable G-to-H converter that's as narrow as the p8 G-to-H is still not known, and 420 is not divisible by 8. A reasonably narrow-on-the-diagonal p420 edge shooter could be put together using p30N technology and maybe a few Snarks, but it's unlikely to fit in exactly the same space as those p416 guns.

Maybe someone should write a quick script to stack arbitrary edge shooters to produce shotgun salvos of this type -- unless it's been done already and I didn't notice. It's a fairly straightforward task nowadays.

dvgrn
Moderator

Posts: 5711
Joined: May 17th, 2009, 11:00 pm

Ha! I think I made that rubegoldbergian sawtooth!
(Warning: It's veeery slow and painful to watch. Hyperspeed recommended.)

Here's a table of known sawteeth and their expansion factors:

Sawtooth 1846: 25
Sawtooth 1212: 21
Sawtooth 633: 11
Hacksaw: 7
Sawtooth 562: 6
Sawtooth 362: 4

What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 2058
Joined: June 1st, 2009, 4:32 pm

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