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

A for awesome wrote:A few small p2/3 rotors/bushings that I couldn't find in jslife for some reason: ...

#5 is just independent candelabra and 1-2-3 rotors that touch harmlessly at a corner without affecting each other. The candelabra cell would behave the same regardless of what state the 1-2-3 cell would be in every generation. The converse would not be true in all possible cases, but it is in all the cases that actually occur (i.e. the one phase where the candelabra cell is dead is also the one phase where the 1-2-3 cell doesn't care whether it's dead or alive).
mniemiec

Posts: 969
Joined: June 1st, 2013, 12:00 am

Also, a p4 that I'm surprised not to find in jslife:
x = 8, y = 13, rule = B3/S23bo4bo$bo4bo$bo4bo$3b2o$2o4b2o$8o$b6o2$o6bo$obo2bobo$3b2o$b2o2b2o$bo4bo! 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: 1695 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Oscillator Discussion Thread Not new, because it does appear in my files as 40P4.8: http://pentadecathlon.com/objects/object-indexPage.php?objid=40P4.1&level=0 hkoenig Posts: 78 Joined: June 20th, 2009, 11:40 am ### Re: Oscillator Discussion Thread Some large, low-period (therefore probably not very interesting) billiard tables: x = 82, y = 29, rule = B3/S2364b2o3b2o$64b2o3b2o$10b2ob2o$10b2ob2o21b2o3b2o19b4o3b4o$35bobo3bobo18bo3bobo3bo$8b9o18bo7bo21b2ob2o$7bo4bo4bo14b2obo7bob2o$8b2o5b2o14bobobo7bobobo15b2o5b2o$10b5o16b2o2bob2ob2obo2b2o14bobo5bobo$4bo3b2o5b2o3bo14bo2bobo2bo12b2o3bo2bo5bo2bo3b2o$3bobobo9bobobo7b6o3bobo3b6o6bo3bo13bo3bo$3bobobo9bobobo6bo9bobo9bo2b2obo3b3o9b3o3bob2o$2obo2bo11bo2bob2o3b2o3bo11bo3b2o2b2obobo17bobob2o$2obo2bo5bo5bo2bob2o8b4o5b4o11b2o17b2o$3b2obo4bobo4bob2o$2obo2bo5bo5bo2bob2o8b4o5b4o11b2o17b2o$2obo2bo11bo2bob2o3b2o3bo11bo3b2o2b2obobo17bobob2o$3bobobo9bobobo6bo9bobo9bo2b2obo3b3o9b3o3bob2o$3bobobo9bobobo7b6o3bobo3b6o6bo3bo13bo3bo$4bo3b2o5b2o3bo14bo2bobo2bo12b2o3bo2bo5bo2bo3b2o$10b5o16b2o2bob2ob2obo2b2o14bobo5bobo$8b2o5b2o14bobobo7bobobo15b2o5b2o$7bo4bo4bo14b2obo7bob2o$8b9o18bo7bo21b2ob2o$35bobo3bobo18bo3bobo3bo$10b2ob2o21b2o3b2o19b4o3b4o$10b2ob2o$64b2o3b2o$64b2o3b2o! The last one is a slight variant of a known one. EDIT: Here's something slightly better, a p8: x = 17, y = 17, rule = B3/S237b2o$6bo2bo$5bob3o$5bo4b2o$6b3obobo$2b2o4b2o2bo2bo$bo2bo7bobobo$obobo7bo2bo$obob2o4bobo$b2o2bo4b2o$3b2o3b2o$3bo5bo$4b5o2$6bo$5bobo$6bo!
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: 1695
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

Have I already mentioned these three variants of a P8 oscillator that I found?
x = 84, y = 20, rule = B3/S2366b2o2$64bo3bo$64bo4bo$6b2o30b2o26bobobo$14b2o30b2o19bobobo6b2o$5bo3bo4b2o21bo3bo4b2o20bo4bo4b2o$4bo4bo3bo22bo4bo3bo23bo3bo3bo$3bobobo3b2o22bobobo3b2o30b2o$2bobobo27bobobo31b2o$o4bo26bo4bo$o3bo27bo3bo$13bo32bo31bo$2b2o8bobo19b2o9bobo29bobo$11bo3bo28bo3bo27bo3bo$10bo3bo30bo3bo27bo3bo$9bo3bo32bo3bo27bo3bo$8bo3bo34bo3bo27bo3bo$9bobo36bobo29bobo$10bo38bo31bo!
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1735
Joined: June 16th, 2009, 11:24 pm
Location: USA

Extrementhusiast wrote:Have I already mentioned these three variants of a P8 oscillator that I found? ...

Nice! They're new to me. I suspect that tadpole-like bit inbetween won't be trivial to synthesize.
mniemiec

Posts: 969
Joined: June 1st, 2013, 12:00 am

Some large, low-period (therefore probably not very interesting) billiard tables:

The middle P6 appears in my lists. The other two are new.
The P8 does also, attributed to Hickerson.
hkoenig

Posts: 78
Joined: June 20th, 2009, 11:40 am

One of the p4s is extensible:
x = 98, y = 35, rule = B3/S2310bo2bo2bo23bob2o7b2obo29bo$10b7o23b2obo7bob2o27b5o$81bo5bo$8b5ob5o19b5o2b2ob2o2b5o23bob4obo$7bo4bobo4bo17bo4bo2b2ob2o2bo4bo22bo4bob2o$8b2o7b2o19b2o15b2o24b2o11b2o$10b7o23b15o28b10o2bo$4bo3b2o7b2o3bo11bo3b2o15b2o3bo15b2o3b2o10b2o$3bobobo11bobobo9bobobo19bobobo13bo2bobo14b3o$3bobobo11bobobo9bobobo19bobobo12bobobobo11bobo2bo$2obo2bo13bo2bob2o3b2obo2bo21bo2bob2o9bobo2bo10bo4b2o$bobo2bo4b2ob2o4bo2bobo5bobo2bo4b2o2b2ob2o2b2o4bo2bobo9b2obo2bo4b2ob2o$bob2obo4b2ob2o4bob2obo4bo2b2obo4b2o2b2ob2o2b2o4bob2o2bo9bob2obo4b2obo$2o4bo13bo4b2o3b2o4bo21bo4b2o9bo4bo7bo$bob2obo4b2ob2o4bob2obo10bo21bo16b3obo4b3o$bobo2bo4b2ob2o4bo2bobo7b2obo4b2o9b2o4bob2o15bobo4bo$2obo2bo13bo2bob2o6b2obo4b2o9b2o4bob2o17bo$3bobobo11bobobo12bo21bo20bo3bo$3bobobo11bobobo9b2obo4b2o9b2o4bob2o17bo$4bo3b2o7b2o3bo10b2obo4b2o9b2o4bob2o17bo2bo$10b7o19bo21bo21bo$8b2o7b2o11b2o4bo21bo4b2o13bobobo$7bo4bobo4bo10bo2b2obo4b2o2b2ob2o2b2o4bob2o2bo13b2obobo$8b5ob5o12bobo2bo4b2o2b2ob2o2b2o4bo2bobo17bobo$30b2obo2bo21bo2bob2o16b2o$10b7o16bobobo19bobobo$10bo2bo2bo16bobobo19bobobo$34bo3b2o15b2o3bo$40b15o$38b2o15b2o$37bo4bo2b2ob2o2bo4bo$38b5o2b2ob2o2b5o2$40b2obo7bob2o$40bob2o7b2obo! 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: 1695 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Oscillator Discussion Thread x = 16, y = 23, rule = b3s239b2o$9b2o2$2b2o3b4o$2bobobo4bo$4bob5obo$3bo8bo$3bob6obob2o$2obobo6bobo$2obobo3b3o2bo$4bo7b2o2$4bo7b2o$2obobo3b3o2bo$2obobo6bobo$3bob6obob2o$3bo8bo$4bob5obo$2bobobo4bo$2b2o3b4o2$9b2o$9b2o!

A new series of oscillators: (Left:P9 Right:P12)
x = 40, y = 25, rule = lifehistory33.A$10.A21.A.A$9.A.A20.A2.A$7.3A.A17.2A.3A.A$6.A4.2A14.A2.A4.A$6.A.2A3.A13.2A3.2A$4.2C2.A.3A12.2C2.3A.2A$5.C.C18.C.C$3.C.C.C.2C13.C.C.C.2C.2A$.7C2.C11.7C2.C.A.A$C8.C3.A7.C8.C4.A2.2A$.9C3.3A6.9C3.2A.A.A$16.A20.A$.9C3.3A6.9C3.2A.A.A$C8.C3.A7.C8.C4.A2.2A$.7C2.C11.7C2.C.A.A$3.C.C.C.2C13.C.C.C.2C.2A$5.C.C18.C.C$4.2C2.A.3A12.2C2.3A.2A$6.A.2A3.A13.2A3.2A$6.A4.2A14.A2.A4.A$7.3A.A17.2A.3A.A$9.A.A20.A2.A$10.A21.A.A$33.A!
Still drifting.
Bullet51

Posts: 502
Joined: July 21st, 2014, 4:35 am

Bullet51 wrote:
x = 16, y = 23, rule = b3s239b2o$9b2o2$2b2o3b4o$2bobobo4bo$4bob5obo$3bo8bo$3bob6obob2o$2obobo6bobo$2obobo3b3o2bo$4bo7b2o2$4bo7b2o$2obobo3b3o2bo$2obobo6bobo$3bob6obob2o$3bo8bo$4bob5obo$2bobobo4bo$2b2o3b4o2$9b2o$9b2o! A new series of oscillators: (Left:P9 Right:P12) x = 40, y = 25, rule = lifehistory33.A$10.A21.A.A$9.A.A20.A2.A$7.3A.A17.2A.3A.A$6.A4.2A14.A2.A4.A$6.A.2A3.A13.2A3.2A$4.2C2.A.3A12.2C2.3A.2A$5.C.C18.C.C$3.C.C.C.2C13.C.C.C.2C.2A$.7C2.C11.7C2.C.A.A$C8.C3.A7.C8.C4.A2.2A$.9C3.3A6.9C3.2A.A.A$16.A20.A$.9C3.3A6.9C3.2A.A.A$C8.C3.A7.C8.C4.A2.2A$.7C2.C11.7C2.C.A.A$3.C.C.C.2C13.C.C.C.2C.2A$5.C.C18.C.C$4.2C2.A.3A12.2C2.3A.2A$6.A.2A3.A13.2A3.2A$6.A4.2A14.A2.A4.A$7.3A.A17.2A.3A.A$9.A.A20.A2.A$10.A21.A.A$33.A! x = 44, y = 23, rule = LifeHistory34.2A$35.A$9.2A18.2A3.A$4.2A3.A19.A4.2A$4.A.A4.A19.A5.2A.A$.2A.A.5A.A17.2C2.3A.2A.A$A2.A8.A18.C.C7.A$2A.A.6A.A.2A13.C.C.C.2C.2A.A.A$3.A.A6.A.A12.7C2.C.A.A.2A$3.A.A3.3A2.A11.C8.C4.A$4.A7.2A13.9C3.2A2$4.A7.2A13.9C3.2A$2A.A.A3.3A2.A11.C8.C4.A$2A.A.A6.A.A12.7C2.C.A.A.2A$3.A.6A.A.2A13.C.C.C.2C.2A.A.A$3.A8.A18.C.C7.A$4.A.5A.A17.2C2.3A.2A.A$2.A.A.A4.A19.A5.2A.A$2.2A5.A19.A4.2A$9.2A18.2A3.A$35.A$34.2A!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1819
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

This is probably known.
x = 21, y = 19, rule = b3s233b2o$4bo2b2o$3bo4bo10b2o$3b2o3bob2ob2o5bo$6b2obobobobob3o$b5obo7bobo$o6bo2b3o2bo$2o2b2obobobobobobo$4b2o4bobo4b3o$20bo$4b2o4bobo4b3o$2o2b2obobobobobobo$o6bo2b3o2bo$b5obo7bobo$6b2obobobobob3o$3b2o3bob2ob2o5bo$3bo4bo10b2o$4bo2b2o$3b2o!
Still drifting.
Bullet51

Posts: 502
Joined: July 21st, 2014, 4:35 am

Bullet51 wrote:This is probably known.
x = 21, y = 19, rule = b3s233b2o$4bo2b2o$3bo4bo10b2o$3b2o3bob2ob2o5bo$6b2obobobobob3o$b5obo7bobo$o6bo2b3o2bo$2o2b2obobobobobobo$4b2o4bobo4b3o$20bo$4b2o4bobo4b3o$2o2b2obobobobobobo$o6bo2b3o2bo$b5obo7bobo$6b2obobobobob3o$3b2o3bob2ob2o5bo$3bo4bo10b2o$4bo2b2o$3b2o!

It's not in jslife or the osc-supplement collection, and I don't recognize it, so it is probably new (unless it was already posted in this thread and I missed it).

Here is the minimal stator for the three forms of the oscillator:
x = 81, y = 21, rule = B3/S2373b2o$31b2o28b2o10bobo$5b2o25bo2b2o25bo2b2o8bo$6bo24bo4bo24bo4bo7b2obo$4bobob2ob2o18b2o3bob2ob2o18b2o3bob2ob2o3b2o$3bobobobobobobo18b2obobobobobo18b2obobobob2o$b3obo7bob3o11b5obo7bob3o11b5obo7bob5o$o4bo2b3o2bo4bo9bo6bo2b3o2bo4bo9bo6bo2b3o2bo6bo$b3obobobobobob3o10b2o2b2obobobobobob3o10b2o2b2obobobobobob2o2b2o$3bo4bobo4bo16b2o4bobo4bo16b2o4bobo4b2o2$3bo4bobo4bo16b2o4bobo4bo16b2o4bobo4b2o$b3obobobobobob3o10b2o2b2obobobobobob3o10b2o2b2obobobobobob2o2b2o$o4bo2b3o2bo4bo9bo6bo2b3o2bo4bo9bo6bo2b3o2bo6bo$b3obo7bob3o11b5obo7bob3o11b5obo7bob5o$3bobobobobobobo18b2obobobobobo18b2obobobob2o$4bobob2ob2o18b2o3bob2ob2o18b2o3bob2ob2o3b2o$6bo24bo4bo24bo4bo7b2obo$5b2o25bo2b2o25bo2b2o8bo$31b2o28b2o10bobo$73b2o! BlinkerSpawn wrote: x = 44, y = 23, rule = LifeHistory34.2A$35.A$9.2A18.2A3.A$4.2A3.A19.A4.2A$4.A.A4.A19.A5.2A.A$.2A.A.5A.A17.2C2.3A.2A.A$A2.A8.A18.C.C7.A$2A.A.6A.A.2A13.C.C.C.2C.2A.A.A$3.A.A6.A.A12.7C2.C.A.A.2A$3.A.A3.3A2.A11.C8.C4.A$4.A7.2A13.9C3.2A2$4.A7.2A13.9C3.2A$2A.A.A3.3A2.A11.C8.C4.A$2A.A.A6.A.A12.7C2.C.A.A.2A$3.A.6A.A.2A13.C.C.C.2C.2A.A.A$3.A8.A18.C.C7.A$4.A.5A.A17.2C2.3A.2A.A$2.A.A.A4.A19.A5.2A.A$2.2A5.A19.A4.2A$9.2A18.2A3.A$35.A$34.2A!

The p9 can be reduced further:
x = 16, y = 19, rule = B3/S239b2o$3bo5bo$2bobobo4bo$bo2bob5obo$bobo8bo$2obob6obob2o$3bobo6bobo$3bobo3b3o2bo$4bo7b2o2$4bo7b2o$3bobo3b3o2bo$3bobo6bobo$2obob6obob2o$bobo8bo$bo2bob5obo$2bobobo4bo$3bo5bo$9b2o! -Matthias Merzenich Sokwe Moderator Posts: 1386 Joined: July 9th, 2009, 2:44 pm ### Re: Oscillator Discussion Thread A p5 sparker serendipitously hassles half of a p7 at p10: x = 22, y = 14, rule = B3/S233bob2o6b2o3b2o$3b2obo5bo2bobo2bo$12bob2ob2obo$3b3o5b2o2bobo2b2o$2bo3bo6bobo3bo$2b2o2bo2bob3obobobo$2o10bo2bo4b2o$bob2o6bo4b3obo$bobo7bo5bo2bo$2o2bo3bo3b2obo3bo$3b2o5b2ob2ob3o$11bo4bo$11bob3o$12b2o!
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: 1695
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

A for awesome wrote:A p5 sparker serendipitously hassles half of a p7 at p10:
x = 22, y = 14, rule = B3/S233bob2o6b2o3b2o$3b2obo5bo2bobo2bo$12bob2ob2obo$3b3o5b2o2bobo2b2o$2bo3bo6bobo3bo$2b2o2bo2bob3obobobo$2o10bo2bo4b2o$bob2o6bo4b3obo$bobo7bo5bo2bo$2o2bo3bo3b2obo3bo$3b2o5b2ob2ob3o$11bo4bo$11bob3o$12b2o! I was very interested in this discovery. Although it doesn't look like one, it is actually a phase-shifting oscillator. Here's the related p7 and p3 for demonstration. x = 21, y = 31, rule = B3/S233b2o$2o2bo$bobo4b2o$bob2o2bo$2o3bo4bo2b4o$2b5o4b3o2b4o$2bo3bo2b2ob2o2b3obo$3b3o4bo8bo$10bob5o$2bob2o5b2o$2b2obo8$9bob2o$9b2obo$3b2o$2o2bo4b3o$bobo4bo3bo$bob2o3b5o$2o3bo3bo3b2o$2b5o3b2obo$2bo3bo4bobo$3b3o4bo2b2o$10b2o$2bob2o$2b2obo!
(By the way, the supporting p3 can be on its own and its shape looks pretty interesting.)

Unfortunately both oscillators need some sort of support, so I think it would be very difficult to find another period based on this, if ever possible.

Edit: optimized the p3 thumb on jslife:
x = 15, y = 17, rule = B3/S237bo$8bo$5bo3bo$5b2ob2o$5bob2o$5bobo2bo$3b3o2bo2bo$2b3ob2obobo$6b2o4b2o$8b4o2bo$2b3obobo2bobo$2bo3b2o4bo$obo3b3o$2o3b2o3bo$10bo$4bobob2o$4b2o!
Best wishes to you, Scorbie

Scorbie

Posts: 1368
Joined: December 7th, 2013, 1:05 am

Burloaferimiter from 25G
60p11-1 from 28G
x = 191, y = 127, rule = B3/S23130bo$60bobo67bobo26bo$61b2o67b2o26bo$61bo66bo29b3o$126bobo$127b2o24bo$79bo74bo4bo$77b2o50bo22b3o3bo$62bo2bo5bo6b2o47b2o29b3o$obo57bobo2bobo2bo29bobo25b2o$b2o58b2o2b2o3b3o2b2o23b2o54b2o4bo4bo17b2o$bo72b2o25bo53bobo4bobo2bobo15b2o$7bobo66bo18bo29bo29bo6b2o3b2o$7b2o21bo62b3o6b2o19b3o3b2o22b3o3b2o22b4o$8bo22b2o29bo29bo9bobo17bo7bo21bo7bo21bo4bob2o$30b2o5b2o22bobo3b2o22bobo3b2o3bo18bobo3b3o21bobo3b3o21bobo3bob2o$37bo24bo4bo24bo4bo24bo4bo24bo4bo5b2o17bo2bobo$5bo28b2obo25b3obo25b3obo25b3obo25b3obo5bobo17b3obo$4bo25bo3bobo29bo29bo29bo29bo6bo22bo$4b3o23b2o3bo29bo29bo29bo29bo29bo$29bobo33b2o28b2o28b2o28b2o28b2o$2b3o32bobo$4bo32b2o$3bo34bo2$39b2o$38bobo$40bo29$120bo$119bo$119b3o$79bo$80bo$78b3o$121bo$120bo$120b3o$69bo$63bo3bobo47bo$61bobo4b2o13bo33bobo$62b2o8bo11bo32b2o$73bo8b3o26bo$71b3o35b2o$110b2o2$126bo$126bobo$126b2o$74bobo$75b2o41bo$75bo42bobo$118b2o3$98bo$96b2o$97b2o5$87bobo$88b2o$88bo15bo$103b2o$103bobo5$94b2o$95b2o$94bo3$73b2o$72bobo42bo$74bo41b2o$116bobo$65b2o$64bobo$66bo2$81b2o$82b2o35b3o$81bo26b3o8bo$74b2o32bo11bo8b2o$73bobo33bo13b2o4bobo$75bo47bobo3bo$123bo$70b3o$72bo$71bo$112b3o$112bo$113bo$71b3o$73bo$72bo! Any questions or further improvements? mattiward Posts: 22 Joined: February 8th, 2018, 3:19 am ### Re: Oscillator Discussion Thread Weird p10: x = 25, y = 47, rule = B3/S236b2o9b2o$6bo2b2o3b2o2bo$7bob2o3b2obo$4b4o9b4o$2obo4b3o3b3o4bob2o$bob4obo2bobo2bob4obo$bo4bo3b2ob2o3bo4bo$2b3o15b3o$4b2o13b2o2$9b3ob3o$4b2o13b2o$4b2o13b2o2$11b3o$8b3o3b3o$7bobo5bobo$8b2o5b2o$6b2o2b2ob2o2b2o$4b3o5bo5b3o$3bo3bob3ob3obo3bo$4b2obo9bob2o$5bobo2b5o2bobo$2obobo2b2ob3ob2o2bobob2o$ob2ob2o11b2ob2obo2$9b7o$8b2o5b2o$7bo9bo$9bo5bo$10b2ob2o2$7bobobobobobo$5b7ob7o$4bo6bobo6bo$3bo2bob2o5b2obo2bo$3b3obo9bob3o$6bobo7bobo$5bo2bo7bo2bo$5b3o9b3o$8bo3bo3bo$5b2ob3obob3ob2o$3bo2b2o3b3o3b2obo$3b2o4bo5bo5bo$5b4ob4ob2ob3o$5bo2bobo2bo2bobo$14b2o! Combines part of a p13 in osc-supplement, a serendipitous block placement, a serendipitous blinker placement, and a sparker I helped find a while back which I'm glad to have found a use for. 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: 1695 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Oscillator Discussion Thread A for awesome wrote:Weird p10: x = 25, y = 47, rule = B3/S236b2o9b2o$6bo2b2o3b2o2bo$7bob2o3b2obo$4b4o9b4o$2obo4b3o3b3o4bob2o$bob4obo2bobo2bob4obo$bo4bo3b2ob2o3bo4bo$2b3o15b3o$4b2o13b2o2$9b3ob3o$4b2o13b2o$4b2o13b2o2$11b3o$8b3o3b3o$7bobo5bobo$8b2o5b2o$6b2o2b2ob2o2b2o$4b3o5bo5b3o$3bo3bob3ob3obo3bo$4b2obo9bob2o$5bobo2b5o2bobo$2obobo2b2ob3ob2o2bobob2o$ob2ob2o11b2ob2obo2$9b7o$8b2o5b2o$7bo9bo$9bo5bo$10b2ob2o2$7bobobobobobo$5b7ob7o$4bo6bobo6bo$3bo2bob2o5b2obo2bo$3b3obo9bob3o$6bobo7bobo$5bo2bo7bo2bo$5b3o9b3o$8bo3bo3bo$5b2ob3obob3ob2o$3bo2b2o3b3o3b2obo$3b2o4bo5bo5bo$5b4ob4ob2ob3o$5bo2bobo2bo2bobo$14b2o! Combines part of a p13 in osc-supplement, a serendipitous block placement, a serendipitous blinker placement, and a sparker I helped find a while back which I'm glad to have found a use for. Wow. It's perfectly sustainable without the blinker which makes it a p9. (You probably spotted that, didn't you?) x = 16, y = 13, rule = B3/S239b2o$6b2o2bo$6b2obo$9b4o$6b3o4bo$2b2obo2bob4o$o2bob2o$2obo5b2ob4o$3bo7b2o2bo$3b2o2$11b2o$11b2o!
Best wishes to you, Scorbie

Scorbie

Posts: 1368
Joined: December 7th, 2013, 1:05 am

Scorbie wrote:Wow. It's perfectly sustainable without the blinker which makes it a p9. (You probably spotted that, didn't you?)
x = 16, y = 13, rule = B3/S239b2o$6b2o2bo$6b2obo$9b4o$6b3o4bo$2b2obo2bob4o$o2bob2o$2obo5b2ob4o$3bo7b2o2bo$3b2o2$11b2o$11b2o! Actually, somehow I managed to miss that. Thanks! That's actually a decent sparker, too. EDIT: Bi-block hassler: x = 23, y = 25, rule = B3/S235b2o9b2o$5bo2b2o3b2o2bo$6bob2o3b2obo$3b4o9b4o$2bo4b3o3b3o4bo$2b4obo2bobo2bob4o$9b2ob2o$4ob2o9b2ob4o$o2b2o13b2o2bo3$3b2o9bo3b2o$3b2o5b2obobo2b2o$10b2o3$14bo2bo$17bo$13bo4bo$13b2o2bobo$18bob2o3$18bo2bo$18b2o! 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: 1695 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Oscillator Discussion Thread A for awesome wrote:Weird p10: x = 25, y = 47, rule = B3/S236b2o9b2o$6bo2b2o3b2o2bo$7bob2o3b2obo$4b4o9b4o$2obo4b3o3b3o4bob2o$bob4obo2bobo2bob4obo$bo4bo3b2ob2o3bo4bo$2b3o15b3o$4b2o13b2o2$9b3ob3o$4b2o13b2o$4b2o13b2o2$11b3o$8b3o3b3o$7bobo5bobo$8b2o5b2o$6b2o2b2ob2o2b2o$4b3o5bo5b3o$3bo3bob3ob3obo3bo$4b2obo9bob2o$5bobo2b5o2bobo$2obobo2b2ob3ob2o2bobob2o$ob2ob2o11b2ob2obo2$9b7o$8b2o5b2o$7bo9bo$9bo5bo$10b2ob2o2$7bobobobobobo$5b7ob7o$4bo6bobo6bo$3bo2bob2o5b2obo2bo$3b3obo9bob3o$6bobo7bobo$5bo2bo7bo2bo$5b3o9b3o$8bo3bo3bo$5b2ob3obob3ob2o$3bo2b2o3b3o3b2obo$3b2o4bo5bo5bo$5b4ob4ob2ob3o$5bo2bobo2bo2bobo$14b2o! Here's a version that only uses one blinker, but it should probably be considered cheating, since it uses a previously-known p10: x = 23, y = 20, rule = B3/S2316b2o$6b2o5b2o2bo$7bo5b2obo$7bob2o5b4o$8bobo2b3o4bo$2ob2o5bobo2bob4o$bobo5b2ob2o2b2o$o4bo11bob4o$4obo12b2o2bo$6b2o$2b4o2bo3b3o$2bo3b3o9b2o$5bo12b2o$5b2o4b2o$9bo4bo$9bo4bo$9bo4bo$10bo2bo$8bobo2bobo$8b2o4b2o!

A for awesome wrote:
Scorbie wrote:It's perfectly sustainable without the blinker which makes it a p9.

That's actually a decent sparker, too.

Very nice! I don't think there are any similar known p9 sparkers. The clearance isn't great, and my best attempt to improve it was a complete failure:
x = 20, y = 15, rule = B3/S2313b2o$10b2o2bo$10b2obo$b2o10b4o$bo8b3o4bo$2b3o4bo4b4o$4bo4bo2bobo$7bobo4bob4o$4bo2bo4bo3bo2bo$2o6bo3bo$o2bo2b3o$2b2obo3b2o2bo2bo$5bob2o2bo3b2o$5b2obobo$9bo!
-Matthias Merzenich
Sokwe
Moderator

Posts: 1386
Joined: July 9th, 2009, 2:44 pm

An absurd variant just for fun:
x = 17, y = 23, rule = B3/S236b2o$6bo2b2o$7bob2o$4b4o$3bo4b3o$3b4obo2bob2o$10b2obo2bo$b4ob2o5bob2o$bo2b2o7bo$12b2o2$4b2o3bo$3bo2bobobo$9bo$2bo7bo$bobobo4b3o$bo2b2o$2o$10b3o$10bo$9bo$8bobo$9bo! EDIT: Now attached to a unix: x = 14, y = 19, rule = B3/S23bo2bo$4bo$o4bo$2o2bobo$5bob2o3$5bo4bo$5b3obobo$10bo$3bo7bo$2bobobo4b3o$2bo2b2o$b2o$11b3o$11bo$10bo$9bobo$10bo! 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: 1695 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Oscillator Discussion Thread Here's a fairly boring p21 that is a combination of a p12 by Dongook Lee and a known p21: x = 17, y = 21, rule = B3/S23b2o3b2o$2bo2bobo$o4bo$2o4bo$2bo2b2o2bo$2o5b3o$bobob2o$bob2o2bo$2bo2bo2bo3b2o$3b2obobo3bo2bo$4bob2ob2obob2o$2bo2bobobobobo$2b2obobo3bobo$3bobobobobob2o$3bo2bo8bo$2b2o3b4obobobo$10bobo3bo$9bo2bob2o$10b2obo$13bo$13b2o! Technically, a p7 shifts the phase of the p12 to get p21. -Matthias Merzenich Sokwe Moderator Posts: 1386 Joined: July 9th, 2009, 2:44 pm ### Re: Oscillator Discussion Thread Sokwe wrote:Here's a fairly boring p21 that is a combination of a p12 by Dongook Lee and a known p21: x = 17, y = 21, rule = B3/S23b2o3b2o$2bo2bobo$o4bo$2o4bo$2bo2b2o2bo$2o5b3o$bobob2o$bob2o2bo$2bo2bo2bo3b2o$3b2obobo3bo2bo$4bob2ob2obob2o$2bo2bobobobobo$2b2obobo3bobo$3bobobobobob2o$3bo2bo8bo$2b2o3b4obobobo$10bobo3bo$9bo2bob2o$10b2obo$13bo$13b2o! Technically, a p7 shifts the phase of the p12 to get p21. Wow, this is super cool. So I guess.. 1) The p7 delays the p4 component by 1 gen. 2) The p12 (4 + 4 + 4 // 3 + 3 + 3 + 3) is phaseshifted to p9 (4 + 5 // 3 + 3 + 3) 3) The total oscillator becomes p21 (7 + 7 + 7 // 12 + 9) Best wishes to you, Scorbie Scorbie Posts: 1368 Joined: December 7th, 2013, 1:05 am ### Re: Oscillator Discussion Thread Notice the similarities: (Left: P11 Right: P10) x = 51, y = 23, rule = b3s2310bo2bo18bo4bo2bo4bo$10b4o17bobo3b4o3bobo$3bo16bo9bo2bo10bo2bo$3b3o4b4o4b3o9b2ob2o2b4o2b2ob2o$6bo2bo4bo2bo14bo3bo4bo3bo$b3obo2bob4obo2bob3o5b3obob2ob4ob2obob3o$o2bob2obobo2bobob2obo2bo3bo2bob2obobo2bobob2obo2bo$2o6bo6bo6b2o3b2o6bo6bo6b2o$4b3ob2o4b2ob3o11b3ob2o4b2ob3o$3bo2bob2o4b2obo2bo9bo2bob2o4b2obo2bo$3b2o14b2o9b2o14b2o2$3b2o14b2o9b2o14b2o$3bo2bob2o4b2obo2bo9bo2bob2o4b2obo2bo$4b3ob2o4b2ob3o11b3ob2o4b2ob3o$2o6bo6bo6b2o3b2o6bo6bo6b2o$o2bob2obobo2bobob2obo2bo3bo2bob2obobo2bobob2obo2bo$b3obo2bob4obo2bob3o5b3obob2ob4ob2obob3o$6bo2bo4bo2bo14bo3bo4bo3bo$3b3o4b4o4b3o9b2ob2o2b4o2b2ob2o$3bo16bo9bo2bo10bo2bo$10b4o17bobo3b4o3bobo$10bo2bo18bo4bo2bo4bo!

Maybe a P19 could be found in this way by tweaking a P18 or P17.
Still drifting.
Bullet51

Posts: 502
Joined: July 21st, 2014, 4:35 am

Bullet51 wrote:Notice the similarities: (Left: P11 Right: P10)
rle

Maybe a P19 could be found in this way by tweaking a P18 or P17.

x = 46, y = 19, rule = B3/S238b2o2b2o21bob2o$3b2o4bo2bo4b2o9b2o4bob2obo4b2o$2bo2bo2bo4bo2bo2bo8bo5bo4bo5bo$2bobo2bob4obo2bobo10bob2ob4ob2obo$b2ob2obobo2bobob2ob2o8b3obobo2bobob3o$bo5bo6bo5bo12bo6bo$2b4ob2o4b2ob4o9b3ob2o4b2ob3o$5bob2o4b2obo11bo2bob2o4b2obo2bo$2b2o14b2o8b2o14b2o$2bo16bo$3bo14bo9b2o14b2o$3o2bob2o4b2obo2b3o6bo2bob2o4b2obo2bo$o2b3ob2o4b2ob3o2bo7b3ob2o4b2ob3o$2bo4bo6bo4bo13bo6bo$b2ob2obobo2bobob2ob2o8b3obobo2bobob3o$2bobo2bob4obo2bobo10bob2ob4ob2obo$2bo2bo2bo4bo2bo2bo8bo5bo4bo5bo$3b2o4bo2bo4b2o9b2o4bob2obo4b2o$8b2o2b2o21b2obo!

EDIT: The p11 can be monomerized, although it ruins the comparison because the p10 is not:
x = 22, y = 11, rule = B3/S232bo5b2o2b2o5bo$2b3o4bo2bo4b3o$5bo2bo4bo2bo$4bo2bob4obo2bo$4b2obobo2bobob2o$7bo6bo$2b4ob2o4b2ob4o$2bo2bob2o4b2obo2bo$3bo14bo$3o16b3o$o20bo!

EDIT 2: I *suppose* this counts for the p10 (and actually reduces population too):
x = 18, y = 17, rule = B3/S237bob2o$2o4bob2obo4b2o$o5bo4bo5bo$2bob2ob4ob2obo$b3obobo2bobob3o$6bo4bo$b3ob2o4b2ob3o$o2b2o8b2o2bo$2o14b2o2$3b2o8b2o$bo4bo4bo4bo$bo4bo4bo4bo$bo4bo4bo4bo$2bo2bo6bo2bo$obo2bobo2bobo2bobo\$2o4b2o2b2o4b2o!
Last edited by BlinkerSpawn on February 22nd, 2018, 5:32 pm, edited 2 times in total.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1819
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Bullet51 wrote:Notice the similarities: (Left: P11 Right: P10)
rle

Maybe a P19 could be found in this way by tweaking a P18 or P17.

RLE

Haha, you do take your role as stator reducer seriously.

77topaz

Posts: 1208
Joined: January 12th, 2018, 9:19 pm

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