For discussion of specific patterns or specific families of patterns, both newlydiscovered and wellknown.

mniemiec
 Posts: 1107
 Joined: June 1st, 2013, 12:00 am
Post
by 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 123 rotors that touch harmlessly at a corner without affecting each other. The candelabra cell would behave the same regardless of what state the 123 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 123 cell doesn't care whether it's dead or alive).

A for awesome
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Post
by A for awesome » January 13th, 2018, 4:31 pm
Also, a p4 that I'm surprised not to find in jslife:
Code: Select all
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)
$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$
http://conwaylife.com/wiki/A_for_all
Aidan F. Pierce

A for awesome
 Posts: 1997
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Post
by A for awesome » January 20th, 2018, 3:36 pm
Some large, lowperiod (therefore probably not very interesting) billiard tables:
Code: Select all
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:
Code: Select all
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)
$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$
http://conwaylife.com/wiki/A_for_all
Aidan F. Pierce

Extrementhusiast
 Posts: 1829
 Joined: June 16th, 2009, 11:24 pm
 Location: USA
Post
by Extrementhusiast » January 20th, 2018, 5:22 pm
Have I already mentioned these three variants of a P8 oscillator that I found?
Code: Select all
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!
I Like My Heisenburps! (and others)

mniemiec
 Posts: 1107
 Joined: June 1st, 2013, 12:00 am
Post
by 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 tadpolelike bit inbetween won't be trivial to synthesize.

hkoenig
 Posts: 126
 Joined: June 20th, 2009, 11:40 am
Post
by hkoenig » January 20th, 2018, 8:55 pm
Some large, lowperiod (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.

A for awesome
 Posts: 1997
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by A for awesome » January 20th, 2018, 10:50 pm
One of the p4s is extensible:
Code: Select all
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)
$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$
http://conwaylife.com/wiki/A_for_all
Aidan F. Pierce

Bullet51
 Posts: 556
 Joined: July 21st, 2014, 4:35 am
Post
by Bullet51 » January 23rd, 2018, 12:10 am
Code: Select all
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)
Code: Select all
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.

BlinkerSpawn
 Posts: 1955
 Joined: November 8th, 2014, 8:48 pm
 Location: Getting a snacker from RBee's
Post
by BlinkerSpawn » January 23rd, 2018, 11:59 am
Bullet51 wrote:Code: Select all
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)
Code: Select all
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!
Code: Select all
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!

Bullet51
 Posts: 556
 Joined: July 21st, 2014, 4:35 am
Post
by Bullet51 » January 23rd, 2018, 11:57 pm
This is probably known.
Code: Select all
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.

Sokwe
 Moderator
 Posts: 1633
 Joined: July 9th, 2009, 2:44 pm
Post
by Sokwe » January 24th, 2018, 7:15 pm
Bullet51 wrote:This is probably known.
Code: Select all
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 oscsupplement 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:
Code: Select all
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:Code: Select all
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:
Code: Select all
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!
Matthias Merzenich

A for awesome
 Posts: 1997
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

Contact:
Post
by A for awesome » January 27th, 2018, 1:17 am
A p5 sparker serendipitously hassles half of a p7 at p10:
Code: Select all
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)
$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$
http://conwaylife.com/wiki/A_for_all
Aidan F. Pierce

Scorbie
 Posts: 1445
 Joined: December 7th, 2013, 1:05 am
Post
by Scorbie » January 28th, 2018, 1:24 am
A for awesome wrote:A p5 sparker serendipitously hassles half of a p7 at p10:
Code: Select all
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 phaseshifting oscillator. Here's the related p7 and p3 for demonstration.
Code: Select all
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:
Code: Select all
x = 15, y = 17, rule = B3/S23
7bo$8bo$5bo3bo$5b2ob2o$5bob2o$5bobo2bo$3b3o2bo2bo$2b3ob2obobo$6b2o4b2o
$8b4o2bo$2b3obobo2bobo$2bo3b2o4bo$obo3b3o$2o3b2o3bo$10bo$4bobob2o$4b2o
!
Best wishes to you, Scorbie

mattiward
 Posts: 29
 Joined: February 8th, 2018, 3:19 am
Post
by mattiward » February 10th, 2018, 10:51 pm
Burloaferimiter from 25G
60p111 from 28G
Code: Select all
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?

A for awesome
 Posts: 1997
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

Contact:
Post
by A for awesome » February 11th, 2018, 3:54 pm
Weird p10:
Code: Select all
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 oscsupplement, 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

Scorbie
 Posts: 1445
 Joined: December 7th, 2013, 1:05 am
Post
by Scorbie » February 12th, 2018, 11:19 am
A for awesome wrote:Weird p10:
Code: Select all
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 oscsupplement, 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?)
Code: Select all
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

A for awesome
 Posts: 1997
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

Contact:
Post
by 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?)
Code: Select all
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: Biblock hassler:
Code: Select all
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

Sokwe
 Moderator
 Posts: 1633
 Joined: July 9th, 2009, 2:44 pm
Post
by Sokwe » February 12th, 2018, 3:51 pm
A for awesome wrote:Weird p10:
Code: Select all
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 previouslyknown p10:
Code: Select all
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:
Code: Select all
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

A for awesome
 Posts: 1997
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

Contact:
Post
by A for awesome » February 12th, 2018, 6:03 pm
An absurd variant just for fun:
Code: Select all
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:
Code: Select all
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

Sokwe
 Moderator
 Posts: 1633
 Joined: July 9th, 2009, 2:44 pm
Post
by 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:
Code: Select all
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

Scorbie
 Posts: 1445
 Joined: December 7th, 2013, 1:05 am
Post
by 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:
Code: Select all
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

Bullet51
 Posts: 556
 Joined: July 21st, 2014, 4:35 am
Post
by Bullet51 » February 22nd, 2018, 3:17 am
Notice the similarities: (Left: P11 Right: P10)
Code: Select all
x = 51, y = 23, rule = b3s23
10bo2bo18bo4bo2bo4bo$10b4o17bobo3b4o3bobo$3bo16bo9bo2bo10bo2bo$3b3o4b
4o4b3o9b2ob2o2b4o2b2ob2o$6bo2bo4bo2bo14bo3bo4bo3bo$b3obo2bob4obo2bob3o
5b3obob2ob4ob2obob3o$o2bob2obobo2bobob2obo2bo3bo2bob2obobo2bobob2obo2b
o$2o6bo6bo6b2o3b2o6bo6bo6b2o$4b3ob2o4b2ob3o11b3ob2o4b2ob3o$3bo2bob2o4b
2obo2bo9bo2bob2o4b2obo2bo$3b2o14b2o9b2o14b2o2$3b2o14b2o9b2o14b2o$3bo2b
ob2o4b2obo2bo9bo2bob2o4b2obo2bo$4b3ob2o4b2ob3o11b3ob2o4b2ob3o$2o6bo6bo
6b2o3b2o6bo6bo6b2o$o2bob2obobo2bobob2obo2bo3bo2bob2obobo2bobob2obo2bo$
b3obo2bob4obo2bob3o5b3obob2ob4ob2obob3o$6bo2bo4bo2bo14bo3bo4bo3bo$3b3o
4b4o4b3o9b2ob2o2b4o2b2ob2o$3bo16bo9bo2bo10bo2bo$10b4o17bobo3b4o3bobo$
10bo2bo18bo4bo2bo4bo!
Maybe a P19 could be found in this way by tweaking a P18 or P17.
Still drifting.

BlinkerSpawn
 Posts: 1955
 Joined: November 8th, 2014, 8:48 pm
 Location: Getting a snacker from RBee's
Post
by BlinkerSpawn » February 22nd, 2018, 9:46 am
Bullet51 wrote:Notice the similarities: (Left: P11 Right: P10)
Maybe a P19 could be found in this way by tweaking a P18 or P17.
Code: Select all
x = 46, y = 19, rule = B3/S23
8b2o2b2o21bob2o$3b2o4bo2bo4b2o9b2o4bob2obo4b2o$2bo2bo2bo4bo2bo2bo8bo5b
o4bo5bo$2bobo2bob4obo2bobo10bob2ob4ob2obo$b2ob2obobo2bobob2ob2o8b3obob
o2bobob3o$bo5bo6bo5bo12bo6bo$2b4ob2o4b2ob4o9b3ob2o4b2ob3o$5bob2o4b2obo
11bo2bob2o4b2obo2bo$2b2o14b2o8b2o14b2o$2bo16bo$3bo14bo9b2o14b2o$3o2bob
2o4b2obo2b3o6bo2bob2o4b2obo2bo$o2b3ob2o4b2ob3o2bo7b3ob2o4b2ob3o$2bo4bo
6bo4bo13bo6bo$b2ob2obobo2bobob2ob2o8b3obobo2bobob3o$2bobo2bob4obo2bobo
10bob2ob4ob2obo$2bo2bo2bo4bo2bo2bo8bo5bo4bo5bo$3b2o4bo2bo4b2o9b2o4bob
2obo4b2o$8b2o2b2o21b2obo!
EDIT: The p11 can be monomerized, although it ruins the comparison because the p10 is not:
Code: Select all
x = 22, y = 11, rule = B3/S23
2bo5b2o2b2o5bo$2b3o4bo2bo4b3o$5bo2bo4bo2bo$4bo2bob4obo2bo$4b2obobo2bob
ob2o$7bo6bo$2b4ob2o4b2ob4o$2bo2bob2o4b2obo2bo$3bo14bo$3o16b3o$o20bo!
EDIT 2: I *suppose* this counts for the p10 (and actually reduces population too):
Code: Select all
x = 18, y = 17, rule = B3/S23
7bob2o$2o4bob2obo4b2o$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.

77topaz
 Posts: 1472
 Joined: January 12th, 2018, 9:19 pm
Post
by 77topaz » February 22nd, 2018, 4:03 pm
BlinkerSpawn wrote:Bullet51 wrote:Notice the similarities: (Left: P11 Right: P10)
Maybe a P19 could be found in this way by tweaking a P18 or P17.
Haha, you do take your role as stator reducer seriously.