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Oscillator Discussion Thread

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

Re: Oscillator Discussion Thread

Postby mniemiec » January 10th, 2018, 10:25 am

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

BlinkerSpawn wrote:#5, but smaller: ...

#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).
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Re: Oscillator Discussion Thread

Postby A for awesome » January 13th, 2018, 4:31 pm

Also, a p4 that I'm surprised not to find in jslife:
x = 8, y = 13, rule = B3/S23
bo4bo$bo4bo$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)

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

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Re: Oscillator Discussion Thread

Postby hkoenig » January 13th, 2018, 5:15 pm

Not new, because it does appear in my files as 40P4.8:

http://pentadecathlon.com/objects/object-indexPage.php?objid=40P4.1&level=0
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Re: Oscillator Discussion Thread

Postby A for awesome » January 20th, 2018, 3:36 pm

Some large, low-period (therefore probably not very interesting) billiard tables:
x = 82, y = 29, rule = B3/S23
64b2o3b2o$64b2o3b2o$10b2ob2o$10b2ob2o21b2o3b2o19b4o3b4o$35bobo3bobo18b
o3bobo3bo$8b9o18bo7bo21b2ob2o$7bo4bo4bo14b2obo7bob2o$8b2o5b2o14bobobo
7bobobo15b2o5b2o$10b5o16b2o2bob2ob2obo2b2o14bobo5bobo$4bo3b2o5b2o3bo
14bo2bobo2bo12b2o3bo2bo5bo2bo3b2o$3bobobo9bobobo7b6o3bobo3b6o6bo3bo13b
o3bo$3bobobo9bobobo6bo9bobo9bo2b2obo3b3o9b3o3bob2o$2obo2bo11bo2bob2o3b
2o3bo11bo3b2o2b2obobo17bobob2o$2obo2bo5bo5bo2bob2o8b4o5b4o11b2o17b2o$
3b2obo4bobo4bob2o$2obo2bo5bo5bo2bob2o8b4o5b4o11b2o17b2o$2obo2bo11bo2bo
b2o3b2o3bo11bo3b2o2b2obobo17bobob2o$3bobobo9bobobo6bo9bobo9bo2b2obo3b
3o9b3o3bob2o$3bobobo9bobobo7b6o3bobo3b6o6bo3bo13bo3bo$4bo3b2o5b2o3bo
14bo2bobo2bo12b2o3bo2bo5bo2bo3b2o$10b5o16b2o2bob2ob2obo2b2o14bobo5bobo
$8b2o5b2o14bobobo7bobobo15b2o5b2o$7bo4bo4bo14b2obo7bob2o$8b9o18bo7bo
21b2ob2o$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/S23
7b2o$6bo2bo$5bob3o$5bo4b2o$6b3obobo$2b2o4b2o2bo2bo$bo2bo7bobobo$obobo
7bo2bo$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)

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

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Re: Oscillator Discussion Thread

Postby Extrementhusiast » January 20th, 2018, 5:22 pm

Have I already mentioned these three variants of a P8 oscillator that I found?
x = 84, y = 20, rule = B3/S23
66b2o2$64bo3bo$64bo4bo$6b2o30b2o26bobobo$14b2o30b2o19bobobo6b2o$5bo3bo
4b2o21bo3bo4b2o20bo4bo4b2o$4bo4bo3bo22bo4bo3bo23bo3bo3bo$3bobobo3b2o
22bobobo3b2o30b2o$2bobobo27bobobo31b2o$o4bo26bo4bo$o3bo27bo3bo$13bo32b
o31bo$2b2o8bobo19b2o9bobo29bobo$11bo3bo28bo3bo27bo3bo$10bo3bo30bo3bo
27bo3bo$9bo3bo32bo3bo27bo3bo$8bo3bo34bo3bo27bo3bo$9bobo36bobo29bobo$
10bo38bo31bo!
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Re: Oscillator Discussion Thread

Postby mniemiec » January 20th, 2018, 5:53 pm

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.
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Re: Oscillator Discussion Thread

Postby hkoenig » January 20th, 2018, 8:55 pm

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.
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Re: Oscillator Discussion Thread

Postby A for awesome » January 20th, 2018, 10:50 pm

One of the p4s is extensible:
x = 98, y = 35, rule = B3/S23
10bo2bo2bo23bob2o7b2obo29bo$10b7o23b2obo7bob2o27b5o$81bo5bo$8b5ob5o19b
5o2b2ob2o2b5o23bob4obo$7bo4bobo4bo17bo4bo2b2ob2o2bo4bo22bo4bob2o$8b2o
7b2o19b2o15b2o24b2o11b2o$10b7o23b15o28b10o2bo$4bo3b2o7b2o3bo11bo3b2o
15b2o3bo15b2o3b2o10b2o$3bobobo11bobobo9bobobo19bobobo13bo2bobo14b3o$3b
obobo11bobobo9bobobo19bobobo12bobobobo11bobo2bo$2obo2bo13bo2bob2o3b2ob
o2bo21bo2bob2o9bobo2bo10bo4b2o$bobo2bo4b2ob2o4bo2bobo5bobo2bo4b2o2b2ob
2o2b2o4bo2bobo9b2obo2bo4b2ob2o$bob2obo4b2ob2o4bob2obo4bo2b2obo4b2o2b2o
b2o2b2o4bob2o2bo9bob2obo4b2obo$2o4bo13bo4b2o3b2o4bo21bo4b2o9bo4bo7bo$b
ob2obo4b2ob2o4bob2obo10bo21bo16b3obo4b3o$bobo2bo4b2ob2o4bo2bobo7b2obo
4b2o9b2o4bob2o15bobo4bo$2obo2bo13bo2bob2o6b2obo4b2o9b2o4bob2o17bo$3bob
obo11bobobo12bo21bo20bo3bo$3bobobo11bobobo9b2obo4b2o9b2o4bob2o17bo$4bo
3b2o7b2o3bo10b2obo4b2o9b2o4bob2o17bo2bo$10b7o19bo21bo21bo$8b2o7b2o11b
2o4bo21bo4b2o13bobobo$7bo4bobo4bo10bo2b2obo4b2o2b2ob2o2b2o4bob2o2bo13b
2obobo$8b5ob5o12bobo2bo4b2o2b2ob2o2b2o4bo2bobo17bobo$30b2obo2bo21bo2bo
b2o16b2o$10b7o16bobobo19bobobo$10bo2bo2bo16bobobo19bobobo$34bo3b2o15b
2o3bo$40b15o$38b2o15b2o$37bo4bo2b2ob2o2bo4bo$38b5o2b2ob2o2b5o2$40b2obo
7bob2o$40bob2o7b2obo!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

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Re: Oscillator Discussion Thread

Postby Bullet51 » January 23rd, 2018, 12:10 am

x = 16, y = 23, rule = b3s23
9b2o$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 = lifehistory
33.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.
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Re: Oscillator Discussion Thread

Postby BlinkerSpawn » January 23rd, 2018, 11:59 am

Bullet51 wrote:
x = 16, y = 23, rule = b3s23
9b2o$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 = lifehistory
33.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 = LifeHistory
34.2A$35.A$9.2A18.2A3.A$4.2A3.A19.A4.2A$4.A.A4.A19.A5.2A.A$.2A.A.5A.A
17.2C2.3A.2A.A$A2.A8.A18.C.C7.A$2A.A.6A.A.2A13.C.C.C.2C.2A.A.A$3.A.A
6.A.A12.7C2.C.A.A.2A$3.A.A3.3A2.A11.C8.C4.A$4.A7.2A13.9C3.2A2$4.A7.2A
13.9C3.2A$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.A
4.A19.A5.2A.A$2.2A5.A19.A4.2A$9.2A18.2A3.A$35.A$34.2A!
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Re: Oscillator Discussion Thread

Postby Bullet51 » January 23rd, 2018, 11:57 pm

This is probably known.
x = 21, y = 19, rule = b3s23
3b2o$4bo2b2o$3bo4bo10b2o$3b2o3bob2ob2o5bo$6b2obobobobob3o$b5obo7bobo$o
6bo2b3o2bo$2o2b2obobobobobobo$4b2o4bobo4b3o$20bo$4b2o4bobo4b3o$2o2b2ob
obobobobobo$o6bo2b3o2bo$b5obo7bobo$6b2obobobobob3o$3b2o3bob2ob2o5bo$3b
o4bo10b2o$4bo2b2o$3b2o!
Still drifting.
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Re: Oscillator Discussion Thread

Postby Sokwe » January 24th, 2018, 7:15 pm

Bullet51 wrote:This is probably known.
x = 21, y = 19, rule = b3s23
3b2o$4bo2b2o$3bo4bo10b2o$3b2o3bob2ob2o5bo$6b2obobobobob3o$b5obo7bobo$o
6bo2b3o2bo$2o2b2obobobobobobo$4b2o4bobo4b3o$20bo$4b2o4bobo4b3o$2o2b2ob
obobobobobo$o6bo2b3o2bo$b5obo7bobo$6b2obobobobob3o$3b2o3bob2ob2o5bo$3b
o4bo10b2o$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/S23
73b2o$31b2o28b2o10bobo$5b2o25bo2b2o25bo2b2o8bo$6bo24bo4bo24bo4bo7b2obo
$4bobob2ob2o18b2o3bob2ob2o18b2o3bob2ob2o3b2o$3bobobobobobobo18b2obobob
obobo18b2obobobob2o$b3obo7bob3o11b5obo7bob3o11b5obo7bob5o$o4bo2b3o2bo
4bo9bo6bo2b3o2bo4bo9bo6bo2b3o2bo6bo$b3obobobobobob3o10b2o2b2obobobobob
ob3o10b2o2b2obobobobobob2o2b2o$3bo4bobo4bo16b2o4bobo4bo16b2o4bobo4b2o
2$3bo4bobo4bo16b2o4bobo4bo16b2o4bobo4b2o$b3obobobobobob3o10b2o2b2obobo
bobobob3o10b2o2b2obobobobobob2o2b2o$o4bo2b3o2bo4bo9bo6bo2b3o2bo4bo9bo
6bo2b3o2bo6bo$b3obo7bob3o11b5obo7bob3o11b5obo7bob5o$3bobobobobobobo18b
2obobobobobo18b2obobobob2o$4bobob2ob2o18b2o3bob2ob2o18b2o3bob2ob2o3b2o
$6bo24bo4bo24bo4bo7b2obo$5b2o25bo2b2o25bo2b2o8bo$31b2o28b2o10bobo$73b
2o!


BlinkerSpawn wrote:
x = 44, y = 23, rule = LifeHistory
34.2A$35.A$9.2A18.2A3.A$4.2A3.A19.A4.2A$4.A.A4.A19.A5.2A.A$.2A.A.5A.A
17.2C2.3A.2A.A$A2.A8.A18.C.C7.A$2A.A.6A.A.2A13.C.C.C.2C.2A.A.A$3.A.A
6.A.A12.7C2.C.A.A.2A$3.A.A3.3A2.A11.C8.C4.A$4.A7.2A13.9C3.2A2$4.A7.2A
13.9C3.2A$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.A
4.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/S23
9b2o$3bo5bo$2bobobo4bo$bo2bob5obo$bobo8bo$2obob6obob2o$3bobo6bobo$3bob
o3b3o2bo$4bo7b2o2$4bo7b2o$3bobo3b3o2bo$3bobo6bobo$2obob6obob2o$bobo8bo
$bo2bob5obo$2bobobo4bo$3bo5bo$9b2o!
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Re: Oscillator Discussion Thread

Postby A for awesome » January 27th, 2018, 1:17 am

A p5 sparker serendipitously hassles half of a p7 at p10:
x = 22, y = 14, rule = B3/S23
3bob2o6b2o3b2o$3b2obo5bo2bobo2bo$12bob2ob2obo$3b3o5b2o2bobo2b2o$2bo3bo
6bobo3bo$2b2o2bo2bob3obobobo$2o10bo2bo4b2o$bob2o6bo4b3obo$bobo7bo5bo2b
o$2o2bo3bo3b2obo3bo$3b2o5b2ob2ob3o$11bo4bo$11bob3o$12b2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

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Re: Oscillator Discussion Thread

Postby Scorbie » January 28th, 2018, 1:24 am

A for awesome wrote:A p5 sparker serendipitously hassles half of a p7 at p10:
x = 22, y = 14, rule = B3/S23
3bob2o6b2o3b2o$3b2obo5bo2bobo2bo$12bob2ob2obo$3b3o5b2o2bobo2b2o$2bo3bo
6bobo3bo$2b2o2bo2bob3obobobo$2o10bo2bo4b2o$bob2o6bo4b3obo$bobo7bo5bo2b
o$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/S23
3b2o$2o2bo$bobo4b2o$bob2o2bo$2o3bo4bo2b4o$2b5o4b3o2b4o$2bo3bo2b2ob2o2b
3obo$3b3o4bo8bo$10bob5o$2bob2o5b2o$2b2obo8$9bob2o$9b2obo$3b2o$2o2bo4b
3o$bobo4bo3bo$bob2o3b5o$2o3bo3bo3b2o$2b5o3b2obo$2bo3bo4bobo$3b3o4bo2b
2o$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/S23
7bo$8bo$5bo3bo$5b2ob2o$5bob2o$5bobo2bo$3b3o2bo2bo$2b3ob2obobo$6b2o4b2o
$8b4o2bo$2b3obobo2bobo$2bo3b2o4bo$obo3b3o$2o3b2o3bo$10bo$4bobob2o$4b2o
!
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Re: Oscillator Discussion Thread

Postby mattiward » February 10th, 2018, 10:51 pm

Burloaferimiter from 25G
60p11-1 from 28G
x = 191, y = 127, rule = B3/S23
130bo$60bobo67bobo26bo$61b2o67b2o26bo$61bo66bo29b3o$126bobo$127b2o24bo
$79bo74bo4bo$77b2o50bo22b3o3bo$62bo2bo5bo6b2o47b2o29b3o$obo57bobo2bobo
2bo29bobo25b2o$b2o58b2o2b2o3b3o2b2o23b2o54b2o4bo4bo17b2o$bo72b2o25bo
53bobo4bobo2bobo15b2o$7bobo66bo18bo29bo29bo6b2o3b2o$7b2o21bo62b3o6b2o
19b3o3b2o22b3o3b2o22b4o$8bo22b2o29bo29bo9bobo17bo7bo21bo7bo21bo4bob2o$
30b2o5b2o22bobo3b2o22bobo3b2o3bo18bobo3b3o21bobo3b3o21bobo3bob2o$37bo
24bo4bo24bo4bo24bo4bo24bo4bo5b2o17bo2bobo$5bo28b2obo25b3obo25b3obo25b
3obo25b3obo5bobo17b3obo$4bo25bo3bobo29bo29bo29bo29bo6bo22bo$4b3o23b2o
3bo29bo29bo29bo29bo29bo$29bobo33b2o28b2o28b2o28b2o28b2o$2b3o32bobo$4bo
32b2o$3bo34bo2$39b2o$38bobo$40bo29$120bo$119bo$119b3o$79bo$80bo$78b3o$
121bo$120bo$120b3o$69bo$63bo3bobo47bo$61bobo4b2o13bo33bobo$62b2o8bo11b
o32b2o$73bo8b3o26bo$71b3o35b2o$110b2o2$126bo$126bobo$126b2o$74bobo$75b
2o41bo$75bo42bobo$118b2o3$98bo$96b2o$97b2o5$87bobo$88b2o$88bo15bo$103b
2o$103bobo5$94b2o$95b2o$94bo3$73b2o$72bobo42bo$74bo41b2o$116bobo$65b2o
$64bobo$66bo2$81b2o$82b2o35b3o$81bo26b3o8bo$74b2o32bo11bo8b2o$73bobo
33bo13b2o4bobo$75bo47bobo3bo$123bo$70b3o$72bo$71bo$112b3o$112bo$113bo$
71b3o$73bo$72bo!

Any questions or further improvements?
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Re: Oscillator Discussion Thread

Postby A for awesome » February 11th, 2018, 3:54 pm

Weird p10:
x = 25, y = 47, rule = B3/S23
6b2o9b2o$6bo2b2o3b2o2bo$7bob2o3b2obo$4b4o9b4o$2obo4b3o3b3o4bob2o$bob4o
bo2bobo2bob4obo$bo4bo3b2ob2o3bo4bo$2b3o15b3o$4b2o13b2o2$9b3ob3o$4b2o
13b2o$4b2o13b2o2$11b3o$8b3o3b3o$7bobo5bobo$8b2o5b2o$6b2o2b2ob2o2b2o$4b
3o5bo5b3o$3bo3bob3ob3obo3bo$4b2obo9bob2o$5bobo2b5o2bobo$2obobo2b2ob3ob
2o2bobob2o$ob2ob2o11b2ob2obo2$9b7o$8b2o5b2o$7bo9bo$9bo5bo$10b2ob2o2$7b
obobobobobo$5b7ob7o$4bo6bobo6bo$3bo2bob2o5b2obo2bo$3b3obo9bob3o$6bobo
7bobo$5bo2bo7bo2bo$5b3o9b3o$8bo3bo3bo$5b2ob3obob3ob2o$3bo2b2o3b3o3b2ob
o$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
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Re: Oscillator Discussion Thread

Postby Scorbie » February 12th, 2018, 11:19 am

A for awesome wrote:Weird p10:
x = 25, y = 47, rule = B3/S23
6b2o9b2o$6bo2b2o3b2o2bo$7bob2o3b2obo$4b4o9b4o$2obo4b3o3b3o4bob2o$bob4o
bo2bobo2bob4obo$bo4bo3b2ob2o3bo4bo$2b3o15b3o$4b2o13b2o2$9b3ob3o$4b2o
13b2o$4b2o13b2o2$11b3o$8b3o3b3o$7bobo5bobo$8b2o5b2o$6b2o2b2ob2o2b2o$4b
3o5bo5b3o$3bo3bob3ob3obo3bo$4b2obo9bob2o$5bobo2b5o2bobo$2obobo2b2ob3ob
2o2bobob2o$ob2ob2o11b2ob2obo2$9b7o$8b2o5b2o$7bo9bo$9bo5bo$10b2ob2o2$7b
obobobobobo$5b7ob7o$4bo6bobo6bo$3bo2bob2o5b2obo2bo$3b3obo9bob3o$6bobo
7bobo$5bo2bo7bo2bo$5b3o9b3o$8bo3bo3bo$5b2ob3obob3ob2o$3bo2b2o3b3o3b2ob
o$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/S23
9b2o$6b2o2bo$6b2obo$9b4o$6b3o4bo$2b2obo2bob4o$o2bob2o$2obo5b2ob4o$3bo
7b2o2bo$3b2o2$11b2o$11b2o!
Best wishes to you, Scorbie
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Re: Oscillator Discussion Thread

Postby A for awesome » February 12th, 2018, 11:34 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/S23
9b2o$6b2o2bo$6b2obo$9b4o$6b3o4bo$2b2obo2bob4o$o2bob2o$2obo5b2ob4o$3bo
7b2o2bo$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/S23
5b2o9b2o$5bo2b2o3b2o2bo$6bob2o3b2obo$3b4o9b4o$2bo4b3o3b3o4bo$2b4obo2bo
bo2bob4o$9b2ob2o$4ob2o9b2ob4o$o2b2o13b2o2bo3$3b2o9bo3b2o$3b2o5b2obobo
2b2o$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
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Re: Oscillator Discussion Thread

Postby Sokwe » February 12th, 2018, 3:51 pm

A for awesome wrote:Weird p10:
x = 25, y = 47, rule = B3/S23
6b2o9b2o$6bo2b2o3b2o2bo$7bob2o3b2obo$4b4o9b4o$2obo4b3o3b3o4bob2o$bob4o
bo2bobo2bob4obo$bo4bo3b2ob2o3bo4bo$2b3o15b3o$4b2o13b2o2$9b3ob3o$4b2o
13b2o$4b2o13b2o2$11b3o$8b3o3b3o$7bobo5bobo$8b2o5b2o$6b2o2b2ob2o2b2o$4b
3o5bo5b3o$3bo3bob3ob3obo3bo$4b2obo9bob2o$5bobo2b5o2bobo$2obobo2b2ob3ob
2o2bobob2o$ob2ob2o11b2ob2obo2$9b7o$8b2o5b2o$7bo9bo$9bo5bo$10b2ob2o2$7b
obobobobobo$5b7ob7o$4bo6bobo6bo$3bo2bob2o5b2obo2bo$3b3obo9bob3o$6bobo
7bobo$5bo2bo7bo2bo$5b3o9b3o$8bo3bo3bo$5b2ob3obob3ob2o$3bo2b2o3b3o3b2ob
o$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/S23
16b2o$6b2o5b2o2bo$7bo5b2obo$7bob2o5b4o$8bobo2b3o4bo$2ob2o5bobo2bob4o$b
obo5b2ob2o2b2o$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/S23
13b2o$10b2o2bo$10b2obo$b2o10b4o$bo8b3o4bo$2b3o4bo4b4o$4bo4bo2bobo$7bob
o4bob4o$4bo2bo4bo3bo2bo$2o6bo3bo$o2bo2b3o$2b2obo3b2o2bo2bo$5bob2o2bo3b
2o$5b2obobo$9bo!
-Matthias Merzenich
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Re: Oscillator Discussion Thread

Postby A for awesome » February 12th, 2018, 6:03 pm

An absurd variant just for fun:
x = 17, y = 23, rule = B3/S23
6b2o$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/S23
bo2bo$4bo$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
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Re: Oscillator Discussion Thread

Postby Sokwe » February 16th, 2018, 1:27 am

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/S23
b2o3b2o$2bo2bobo$o4bo$2o4bo$2bo2b2o2bo$2o5b3o$bobob2o$bob2o2bo$2bo2bo
2bo3b2o$3b2obobo3bo2bo$4bob2ob2obob2o$2bo2bobobobobo$2b2obobo3bobo$3bo
bobobobob2o$3bo2bo8bo$2b2o3b4obobobo$10bobo3bo$9bo2bob2o$10b2obo$13bo$
13b2o!

Technically, a p7 shifts the phase of the p12 to get p21.
-Matthias Merzenich
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Re: Oscillator Discussion Thread

Postby Scorbie » February 16th, 2018, 9:26 pm

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/S23
b2o3b2o$2bo2bobo$o4bo$2o4bo$2bo2b2o2bo$2o5b3o$bobob2o$bob2o2bo$2bo2bo
2bo3b2o$3b2obobo3bo2bo$4bob2ob2obob2o$2bo2bobobobobo$2b2obobo3bobo$3bo
bobobobob2o$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
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