Page 22 of 39

Posted: February 24th, 2018, 5:02 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.

Variations on a Theme, Opus 2:
`x = 40, y = 19, rule = b3s2313b2o\$6b2o3bo2bo13b2o3bo2bo\$6bobo2b3o14bobo2b4o\$8bo21bo\$7bob7o13bob6o\$7bo7bo13bo7bo\$8b6o16b7obo\$36bobo\$4b2o2b3o15b2o2b3o4bo\$bo2bo2bo3bo3b2o6bo2bo2bo3bo\$obobob2obo6bo5bobobob2obo\$bo2bo2bob4obobob2o3bo2bo2bob4obo\$4b2o2bo3bobobob2o6b2o2bo3bobo\$9b2obob2o15b2obob3o\$11bo21bo5bo\$9b2o20b2o5b2o\$9bo21bo\$7bobo19bobo\$7b2o20b2o!`

(Left: P11 Right: P12)

Posted: February 24th, 2018, 8:23 pm
Found the third movement for the Opus 1, using A for awesome's block trick.
`x = 78, y = 37, rule = B3/S233b2o5b2obo21b2o4b2o22b2o3b2obo\$4bo5bob2o22bo5bo23bo3bob2o\$3bo4b2o4b2o19bo5bo23bo8b2o\$3b2o3bo5bo20b2o4b2o22b2o7bo\$9bo5bo59bo\$3b2o3b2o4b2o19b2o4b2o22b2o7b2o\$4bo3bo5bo21bo5bo23bo3b2obo\$3bo5bo5bo19bo5bo23bo4bob2o\$3b2o3b2o4b2o19b2o4b2o22b2o7b2o\$8bo5bo59bo\$3b2o4bo5bo19b2o4b2o22b2o8bo\$4bo3b2o4b2o20bo5bo23bo7b2o\$3bo6b2obo21bo5bo23bo4b2obo\$3b2o5bob2o21b2o4b2o22b2o3bob2o7\$7bob2o19bo5b2o2b2o5bo19bob2o\$2o4bob2obo4b2o10b5o4bo2bo4b5o10b2o4bob2obo4b2o\$o5bo4bo5bo9bo5bo2bo4bo2bo5bo9bo5bo4bo5bo\$2bob2ob4ob2obo12b3obo2bob4obo2bob3o12bob2ob4ob2obo\$b3obobo2bobob3o13bob2obobo2bobob2obo13b3obobo2bobob3o\$5bo6bo22bo6bo22bo6bo\$b3ob2o4b2ob3o14b3ob2o4b2ob3o14b3ob2o4b2ob3o\$o2bob2o4b2obo2bo12bo2bob2o4b2obo2bo12bo2bob2o4b2obo2bo\$2o14b2o12b2o14b2o12b2o14b2o3\$3b2o8b2o49b2o6b2o\$b2o2b2o4b2o2b2o47b2o6b2o\$bo4bo4bo4bo\$2bo2bo6bo2bo\$obo2bobo2bobo2bobo\$2o4b2o2b2o4b2o!`

Posted: March 9th, 2018, 5:36 am
Stator reduction for the "new" p20 pre-pulsar hassler:
`x = 61, y = 23, rule = B3/S234bo4bo4b2o6b2o13b2o6b2o4bo4bo\$3bobo2bobobo2bo2b2o2bo15bo2b2o2bo2bobobo2bobo\$3bobo2bobob2obobo2bobo15bobo2bobob2obobo2bobo\$2b2ob2obobo4bobob2ob2o13b2ob2obobo4bobob2ob2o\$bo8bob2obo8bo11bo8bob2obo8bo\$3ob2ob2ob2o2b2ob2ob2ob3o9b3ob2ob2ob2o2b2ob2ob2ob3o\$3o2bob2o2bo2bo2b2obo2b3o9b3o2bob2o2bo2bo2b2obo2b3o\$2o8b2o2b2o8b2o3b3o3b2o8b2o2b2o8b2o\$b2o3b2ob2o4b2ob2o3b2o4bobo4b2o3b2ob2o4b2ob2o3b2o\$b3obo14bob3o4b3o4b3obo14bob3o\$6b2o10b2o21b2o10b2o2\$6b2o10b2o21b2o10b2o\$b3obo14bob3o4b3o4b3obo14bob3o\$b2o3b2ob2o4b2ob2o3b2o4bobo4b2o3b2ob2o4b2ob2o3b2o\$2o8b2o2b2o8b2o3b3o3b2o8b2o2b2o8b2o\$3o2bob2o2bo2bo2b2obo2b3o9b3o2bob2o2bo2bo2b2obo2b3o\$3ob2ob2ob2o2b2ob2ob2ob3o9b3ob2ob2ob2o2b2ob2ob2ob3o\$bo8bob2obo8bo11bo8bob2obo8bo\$2b2ob2obobo4bobob2ob2o13b2ob2obobo4bobob2ob2o\$3bobo2bobob2obobo2bobo15bobo2bobob2obobo2bobo\$3bobo2bobobo2bo2b2o2bo15bo2b2o2bo2bobobo2bobo\$4bo4bo4b2o6b2o13b2o6b2o4bo4bo!`

The original p5 supports were found by Bullet51 based on a suggestion by Aidan F. Pierce. p20 supports for this reaction had previously been found by hought99. Thanks to Scorbie for pointing out the previous stabilization, since I had completely forgotten it.

Posted: March 9th, 2018, 5:41 am
Anytime. And congrats for the rediscovery/reduction!

Posted: March 11th, 2018, 8:00 pm
viewtopic.php?f=2&t=335&p=30515#p30515
How to reducing stator for p6 osc?

Posted: March 11th, 2018, 9:13 pm
PHPBB12345 wrote:How to reducing stator for p6 osc?

The best program for stator reductions is probably JavaLifeSearch. I described my personal step-by-step process here.

Posted: March 12th, 2018, 9:51 am
The new 28p7.3 allows for a smaller p21 and p42:
40p21 (caterer on 28p7.3)
`x = 17, y = 13, rule = B3/S23obo\$2obo\$3bo2b2o\$2obobobo2b2o\$o2bo2bo5bo\$2bo6bo\$4bo4bo3bo\$2b3o4bo3b4o\$11bo\$6b2o\$6bobo\$8bo\$8b2o!`

and 55p42:
`x = 18, y = 13, rule = B3/S23obo\$2obo\$3bo2b2o3b2ob2o\$2obobobo4bobo\$o2bo2bo4bo2bo\$2bo11bob2o\$4bo5bobobobo\$2b3o4bobob2obo\$10b2o3bo\$6b2o4b3o\$6bobo3bo\$8bo\$8b2o!`

(maybe there is a smaller version for the rotor)

Posted: March 16th, 2018, 8:18 pm
Does someone know a 4G synthesis of one of the four still life constellations shown left:
`x = 69, y = 48, rule = B3/S232\$50bo\$48bobo\$14b2o33b2o6b2o\$2b2o9bobo6b2o21b2o9bobo6b2o\$2b2o9b2o7b2o21b2o9b2o7b2o8\$50bo\$48bobo\$14b2o33b2o6b2o\$13bobo6b2o32bobo6b2o\$2b2o9b2o7b2o21b2o9b2o7b2o\$2b2o41b2o7\$50bo\$48bobo\$14b2o33b2o6b2o\$2b2o9bobo29b2o9bobo\$2b2o9b2o7b2o21b2o9b2o7b2o\$22b2o41b2o7\$50bo\$48bobo\$14b2o33b2o6b2o\$13bobo40bobo\$2b2o9b2o7b2o21b2o9b2o7b2o\$2b2o18b2o21b2o18b2o!`

The reason is shown right, a potential reduction of a queen-bee shuttle.

Posted: March 17th, 2018, 8:30 pm
2718281828 wrote:Does someone know a 4G synthesis of one of the four still life constellations shown left:
`RLE`

The reason is shown right, a potential reduction of a queen-bee shuttle.

The most likely candidate would probably be one of the two-glider B-heptomino collisions plus two other gliders.

Posted: March 17th, 2018, 10:36 pm
This is probably known, but it's my first ever find so it's kinda special to me, so I thought I'd post it.
`#CXRLE Pos=-16,-4x = 25, y = 15, rule = B3/S238b2o5bo5b2o\$b2o4bo2bo3bobobo2bo2bo\$b2o5bobo3bobob3o2b2o\$3b2ob2ob2ob3o2bo3b2o\$b2obo2bobo3bo4bob2ob2o\$5b2ob2o2bo2b4o5bo\$o2b2o2bobo3b2o2bo2bob2o\$b2o3bo2bob2ob2obob2obo\$b2o3bobo2bo5b2obobobo\$2b4o2b2obob2o3bobo2b2o\$8bo2bo2bo2bo2bo\$2b2o6b2o2bobo3b2o\$4bo10bo\$bo\$2b2o!`

Posted: March 17th, 2018, 11:19 pm
Mandelbrot wrote:This is probably known, but it's my first ever find so it's kinda special to me, so I thought I'd post it.
`#CXRLE Pos=-16,-4x = 25, y = 15, rule = B3/S238b2o5bo5b2o\$b2o4bo2bo3bobobo2bo2bo\$b2o5bobo3bobob3o2b2o\$3b2ob2ob2ob3o2bo3b2o\$b2obo2bobo3bo4bob2ob2o\$5b2ob2o2bo2b4o5bo\$o2b2o2bobo3b2o2bo2bob2o\$b2o3bo2bob2ob2obob2obo\$b2o3bobo2bo5b2obobobo\$2b4o2b2obob2o3bobo2b2o\$8bo2bo2bo2bo2bo\$2b2o6b2o2bobo3b2o\$4bo10bo\$bo\$2b2o!`

Well, this exact oscillator isn't known, but it's a composition of known p2 rotors.
I'm assuming this came out of WinLifeSearch or similar?

Posted: March 27th, 2018, 12:15 am
This p7 is sparky. I didn't see it in jslife. Could it be new?
`x = 28, y = 13, rule = B3/S232bo22bo\$bob3o4bob4obo4b3obo\$6bo2bo8bo2bo\$b2o3bo2bo8bo2bo3b2o\$o4bo4bob4obo4bo4bo\$b4o18b4o2\$b4o18b4o\$o4bo4bob4obo4bo4bo\$b2o3bo2bo8bo2bo3b2o\$6bo2bo8bo2bo\$bob3o4bob4obo4b3obo\$2bo22bo!`

EDIT: Variation with one cap out of phase from the other:
`x = 28, y = 15, rule = B3/S2324bo\$2bo19bo2bo\$bob3o4bob4obo8bo\$6bo2bo8bo2bo4bo\$b2o3bo2bo8bo2bo2b4o\$o4bo4bob4obo3bo5bo\$b4o17b5o2\$b4o17b5o\$o4bo4bob4obo3bo5bo\$b2o3bo2bo8bo2bo2b4o\$6bo2bo8bo2bo4bo\$bob3o4bob4obo8bo\$2bo19bo2bo\$24bo!`

Posted: March 27th, 2018, 1:33 am
velcrorex wrote:This p7 is sparky. I didn't see it in jslife. Could it be new?

It looks new to me. A single copy of the central component can be supported by a known oscillator, but the clearance for the spark is much worse:
`x = 26, y = 15, rule = B3/S233b2o16b2o\$4bo16bo\$3bo18bo\$3b2o16b2o2\$b5o3bob4obo3b5o\$o4bo2bo8bo2bo4bo\$obob2o2bo8bo2b2obobo\$b3o5bob4obo5b3o2\$b3o18b3o\$o2bo3b2o8b2o3bo2bo\$2o5bobo6bobo5b2o\$9bo6bo\$9b2o4b2o!`

Posted: March 27th, 2018, 7:14 am
Sokwe wrote:A single copy of the central component can be supported by a known oscillator, but the clearance for the spark is much worse:
There's another monomer stablization I know, with the same clearance (wink!)
`x = 28, y = 15, rule = B3/S233bo20bo\$2bo2bo16bo2bo\$bo24bo\$bo4bo2b2o6b2o2bo4bo\$4o2bo2b2o6b2o2bo2b4o\$o5bo14bo5bo\$b5o16b5o2\$b5o7b2o7b5o\$o5bo5bo2bo5bo5bo\$4o2bo2b2obo2bob2o2bo2b4o\$bo4bo2b2obo2bob2o2bo4bo\$bo10bo2bo10bo\$2bo2bo7b2o7bo2bo\$3bo20bo!`
Anyway, the sparks are super nice (as nice as Ellison's p4 to me). Hope we use it somewhere.

Posted: March 27th, 2018, 10:20 am
Much better clearance, horrible size.
`x = 75, y = 30, rule = B3/S2312bo18b2o6b2obo\$11bobo3b2o3bo2bo5bo7bob2o2bo3b2o10bo\$11bobo3bobo2b4o3bobo4b2obo3b5o2bo10b3o\$10b2ob3obobo8bobo5bobob2o6b2o14bob2obo\$16bobob6o2bo9bobob2o2b2o8b2ob4obobob2o\$8b7o3bo4bo2bob2o8bobobo2bobo4b2o3bobo2bobobo\$3b2o2bo5bob2obob2o4bo3bo2bobobo2bob2o6bo4bobo6bo2b3o\$3b2obo2b3o4bobo3bobob4o3bobobobo2bo2bo6bo2bobo5bo2b2o2bo\$7bobob2o9bobo4b2ob2obo2bo2b2ob2o4b2ob2o2bo2bo2bo5bo\$9b2obo6bobobobo8bo2bobob2o2b2obo7b2obob3o6b3o\$2b2o15bobobobo9b2o2bobo4bobo2bo7bo6bo6bo\$2b2o14bo3bo2b3o4bo6bob6obobobo3b2obob6o5bobo\$19b2obobo3bo3b7obo6bob2ob3o2bob2o12bo\$b4o8b2ob3o2bo2bob2o10bobo2b2o2bo7b2o5b2ob2o\$o4bo8bobo2bobobobo8b2o4bobo2bobob2ob2obo7bobo\$o4bo8bobo2bobobobo8b2o4bobo2bobob2ob2obo7bobo\$b4o8b2ob3o2bo2bob2o10bobo2b2o2bo7b2o5b2ob2o\$19b2obobo3bo3b7obo6bob2ob3o2bob2o12bo\$2b2o14bo3bo2b3o4bo6bob6obobobo3b2obob6o5bobo\$2b2o15bobobobo9b2o2bobo4bobo2bo7bo6bo6bo\$9b2obo6bobobobo8bo2bobob2o2b2obo7b2obob3o6b3o\$7bobob2o9bobo4b2ob2obo2bo2b2ob2o4b2ob2o2bo2bo2bo5bo\$3b2obo2b3o4bobo3bobob4o3bobobobo2bo2bo6bo2bobo5bo2b2o2bo\$3b2o2bo5bob2obob2o4bo3bo2bobobo2bob2o6bo4bobo6bo2b3o\$8b7o3bo4bo2bob2o8bobobo2bobo4b2o3bobo2bobobo\$16bobob6o2bo9bobob2o2b2o8b2ob4obobob2o\$10b2ob3obobo8bobo5bobob2o6b2o14bob2obo\$11bobo3bobo2b4o3bobo4b2obo3b5o2bo10b3o\$11bobo3b2o3bo2bo5bo7bob2o2bo3b2o10bo\$12bo18b2o6b2obo!`

EDIT:
Smaller
`x = 22, y = 28, rule = B3/S236bo4bo3bo\$4b3o3bobo2b3ob2o\$3bo6bob3o3b2o\$b3ob2o2b2o4b2o4bo\$o4bobo4b2obob2ob2o\$b3o3b5obobo2bobo\$3b2obo4bobobobo2bo\$8bo4bobobobo\$8b3o6bob2o\$2b2o6b6obo2bo\$bo2bo4bo6bobo\$10b5o2bo\$bo2bo10b2o\$bo2bo7b2obo\$bo2bo7b2obo\$bo2bo10b2o\$10b5o2bo\$bo2bo4bo6bobo\$2b2o6b6obo2bo\$8b3o6bob2o\$8bo4bobobobo\$3b2obo4bobobobo2bo\$b3o3b5obobo2bobo\$o4bobo4b2obob2ob2o\$b3ob2o2b2o4b2o4bo\$3bo6bob3o3b2o\$4b3o3bobo2b3ob2o\$6bo4bo3bo!`

EDIT2:
Smaller and better clearance. I'm happy with this version.
`x = 17, y = 28, rule = B3/S239bo\$5bob5o\$5b2o5bo\$8b2obo\$5b3obob2o\$4bo4bo3bo\$4b2o3bob3o\$4b2obo\$11b3o\$2b2o5bo4bo\$bo2bo7b2o2bo\$bo2bo8bob2o\$o4bo7bo\$o4bo4b2obob2o\$o4bo4b2obob2o\$o4bo7bo\$bo2bo8bob2o\$bo2bo7b2o2bo\$2b2o5bo4bo\$11b3o\$4b2obo\$4b2o3bob3o\$4bo4bo3bo\$5b3obob2o\$8b2obo\$5b2o5bo\$5bob5o\$9bo!`

Posted: March 28th, 2018, 12:21 am
velcrorex wrote:I'm happy with this version.

Oh, the supporting end works like an eater! I suspect there might be a happier support! Just give me a few hours (or search jslife for anyonr interested )

Posted: March 28th, 2018, 1:44 am
Scorbie wrote:
I wrote:A single copy of the central component can be supported by a known oscillator, but the clearance for the spark is much worse:
There's another monomer stablization I know, with the same clearance (wink!)
`x = 28, y = 15, rule = B3/S233bo20bo\$2bo2bo16bo2bo\$bo24bo\$bo4bo2b2o6b2o2bo4bo\$4o2bo2b2o6b2o2bo2b4o\$o5bo14bo5bo\$b5o16b5o2\$b5o7b2o7b5o\$o5bo5bo2bo5bo5bo\$4o2bo2b2obo2bob2o2bo2b4o\$bo4bo2b2obo2bob2o2bo4bo\$bo10bo2bo10bo\$2bo2bo7b2o7bo2bo\$3bo20bo!`

Why didn't I think of this? I wanted to claim that mine was smaller by minimum population, but even that isn't true (they're tied).

velcrorex wrote:EDIT2: Smaller and better clearance.

Nice! Here it is with minimized bounding box and minimized population (for this bounding box):
`x = 17, y = 27, rule = B3/S235bob2o\$5b2obo\$8bob2ob2o\$5b3obob2obo\$4bo4bo\$4b2o3bob3o\$4b2obo5bo\$11b2o\$2b2o5bo\$bo2bo7b3o\$bo2bo8bobo\$o4bo5bo3bo\$o4bo4bob3o\$o4bo5bo\$o4bo6bo\$bo2bo8bo\$bo2bo7b2o\$2b2o5bo4b2o\$11b3o2bo\$4b2obo6b2o\$4b2o3bob3o\$4bo4bo3bo\$5b3obob2o\$8b2obo\$5b2o5bo\$5bob5o\$9bo!`

The bounding box manages to minimize both width and height for this rotor variant.

The supporting component makes for a relatively small p7 by itself:
`x = 17, y = 13, rule = B3/S235bob2o\$5b2obo\$8bob2ob2o\$5b3obob2obo\$4bo4bo\$4b2o3bob3o\$4b2obo5bo\$11b2o\$2b2o5bo\$3bo8b3obo\$3o10bob2o\$o10bo\$11b2o!`

Scorbie wrote:Oh, the supporting end works like an eater! I suspect there might be a happier support!

Here is a smaller variant with worse clearance based on a known p7 oscillator (top stabilization is minimum width, bottom is minimum height):
`x = 12, y = 27, rule = B3/S23b2ob2ob2o\$ob2obobobo\$o6bo2bo\$b3obob2obo\$3bob2o2bo\$4b2o2bo\$9b3o\$2b2o7bo\$bo2bo\$bo2bo\$o4bo\$o4bo\$o4bo\$o4bo\$bo2bo\$bo2bo\$2b2o2\$4b2o2b2o\$3bob2o2bo\$b3obob2o\$o6bo\$b3obobobo\$3b2obob2o\$6bo\$6bob2o\$7bobo!`

It can probably replace the high-clearance variant in most cases.

Finally, here is the smallest variant by minimum population:
`x = 12, y = 28, rule = B3/S2310b2o\$10bo\$2bob2ob2obo\$2b2obobobo\$5bo\$5ob3o\$o2bob2o2bo\$8b2o2\$2b2o\$bo2bo2\$bo2bo\$bo2bo\$bo2bo\$bo2bo2\$bo2bo\$2b2o2\$8b2o\$o2bob2o2bo\$5ob3o\$5bo\$2b2obobobo\$2bob2ob2obo\$10bo\$10b2o!`

Edit: Here's a collection of all the known p7 sparkers in the style of jslife:
`#C Period 7 oscillators with sparks#C#C A1 [Karel Suhajda, 3 Jul 2013]#C A2 [??]#C A3 [Nicolay Beluchenko, 17 Feb 2009]#C A4 [Matthias Merzenich, Aug 2014]#C A5 [Josh Ball, 17 Dec 2016]#C A6 [Noam Elkies, 11 Nov 1997]#C A7 [??]#C A8 [??]#C#C B1 "p7 pipsquirter" [Noam Elkies, Aug 1999]#C                     [Improved by Karel Suhajda, 24 Jan 2003]#C B2 [Noam Elkies, 1 Apr 1998 (top component) / Aug 1999 (bottom component)]#C    [Improved by Karel Suhajda, 24 Jan 2003]#C B3 [Dongook Lee, 18 Mar 2017]#C B4 [Dongook Lee, 18 Mar 2017]#C#C C1 [Dongook Lee, 17 Dec 2016]#C C2 "Hebdarole" [Noam Elkies, Nov 1997]#C C3 [Josh Ball, 28 Mar 2018]#C C4 [Josh Ball, 28 Mar 2018]#C#C D1 [David Buckingham, 19 Jun 1977]#C D2 [Nicolay Beluchenko, 23 Feb 2009]#C#C E1 [Dean Hickerson, 5 Oct 1998]#C E2 [??]#C#C F1 [Nicolay Beluchenko, 17 Feb 2009]#C F2 [??]#C F3 [Josh Ball, 17 Dec 2016]x = 306, y = 245, rule = B3/S232bob2o26bo32bobobo30bobobo30bo3bo30bobobo30bobobo30bobobo30bobobo\$2b2obo\$6b2o24bo36bo34bo30bo3bo30bo34bo38bo30bo3bo\$7bo\$6bo25bo32bobobo30bobobo30bobobo30bobobo30bobobo34bo30bobobo\$6b2o\$4b2o26bo32bo38bo34bo34bo30bo3bo34bo30bo3bo\$5bo\$4bo27bo32bobobo30bobobo34bo30bobobo30bobobo34bo30bobobo\$4b2o\$2b2o\$3bo\$2bo\$2b2o13\$176b2ob2o\$172b2obo2b2o2bo2bo2bo\$172bo3bo4b2o2b4o\$169b2obob2ob4o2b2o6bo\$2bo29bo30bo7bo32bo29bo6bo16bo10bobobobobo2bobo2b7o17bo28b2o2bo2b2o26bob2o5bo14b2o5bo\$29bo5bo25bo3bo3bo3bo28bo2bo27bo3b2o3bo13bo3bo10bo6bobobobo20b2o3bo27bo7bo26b2ob4o3bo12bob4o3bo\$bobo25bo5bo24bo4bo3bo4bo31bo25bo3b4o3bo16bo7bo2bo5b3o6b6o13bo4bo28bo5bo37bo11bo9bo\$29bo2bo2bo30bobo28b2o2bo4bo25bobob4obobo11bo5b2obo4bob2o2bo5b4o2b2obobo13b4o26b3o7b3o24b3o5bo13b3o5bo\$o3bo57b3obobob3o24b2o2bo2b4o21b2obobo6bobob2o8b2o2b2obobob2obobo3b5o8bo3bo10b3o30bo2b2o3b2o2bo24bo5bo21bo\$25b2o4bobo4b2o17bo4bo3bobo3bo4bo23bo5bo21bobo2b2o4b2ob2obo13bobo2bobobob4o4bobob4obobob2o9bo2b2ob3o25bo4bo4bo26b2obobobo12bob2obobobo\$obobo18bo2bo3b2ob2o3bo2bo14bo9bobo9bo23b5o25b2o3b2o21bobob2obob2o4b2o4b2o4bob2o2bo11bo4bobo23b2ob3ob3ob2o26bobob2obo11b2obobob2obo\$23b2o15b2o17b2o5bobo5b2o58b2obo23b2obo2bo4b2o2bo3bo3b2obo3bo14b3obobo22bo2bo3bo3bo2bo25bob2o3bo15bobo3bo\$o3bo23bob5obo18bo3bo6bobo6bo3bo22b5o27bo2bo27bobob3ob2o5b2ob2ob2o3b2o10b3o2b2o2b2o21b2o2b3ob3o2b2o26bo3b2o18bo3b2o\$28bob5obo22bo5bo3bo5bo25bo5bo27b2o29b2obo33bo2bo2bo2bo28bobo33b3o20b2o\$56b2o6bo5bo6b2o18b2o2bo2b4o97bo2bobobo66bo\$25b2o11b2o18b6o7b6o20b2o2bo4bo99b5ob2o\$25bo5bobo5bo66bo104bo\$26b2o2bo3bo2b2o19b6o7b6o25bo2bo100b4obo\$31bobo22b2o6bo5bo6b2o25bo101bo2b2o\$24b7o3b7o18bo5bo3bo5bo\$24bo6bobo6bo14bo3bo6bobo6bo3bo\$26bob9obo20b2o5bobo5b2o\$25b2obo3bo3bob2o16bo9bobo9bo\$29b2obob2o21bo4bo3bobo3bo4bo\$30b2ob2o27b3obobob3o\$28bo7bo29bobo\$26b3ob2ob2ob3o21bo4bo3bo4bo\$25bo13bo21bo3bo3bo3bo\$26bob2obobob2obo24bo7bo\$25b2obo2bobo2bob2o\$28bob2ob2obo\$28bo2bobo2bo\$29b2o3b2o12\$obo24bo36bo37bo34bo\$27bo36bo31b2o4bo4b2o28bo\$o3bo27b2o7b2o52bo2bo7bo2bo\$25bo3bo2bo2bob2obo2bo18bo3bo28bobo2bo3bo2bobo25bo3bo\$obo20b3obob3o2b2obo3bobo16b3o3b3o27bob3o3b3obo24b3o3b3o\$22bo4bo4b2o5b2obo16bo3b3o3bo24bobo4b3o4bobo21bo3b3o3bo\$o3bo17b2ob2ob3o4b4obo18bob2o3b2obo24b2obobo5bobob2o21bob2o3b2obo\$26bobo3b2o4bobo19bobobobobo28bo3bobo3bo22b2obobobobobob2o\$obo23bobobo4b4ob2o16bobobobobobobo26bo3bobo3bo22bo2bobobobobo2bo\$25b2obob4obo2bobo16bobobo5bobobo23bobobo5bobobo21b2obo5bob2o\$29bo4bo2bo2bo16bobo3bobo3bobo22bobo3b5o3bobo21bo3bobo3bo\$30b3o5b2o16b2obo9bob2o21bo2b2o3bo3b2o2bo21bo9bo\$32b2o25b2o2b3o2b2o25b2o2b3ob3o2b2o20bob2o2b3o2b2obo\$59bo2bobobo2bo27bobobobobobo21bobo3bobobo3bobo\$60b3o3b3o28bo2bo3bo2bo21bo3b3o3b3o3bo\$57b3o9b3o26b2o5b2o23b3o9b3o\$57bo2bo7bo3bobob2o55bo7bo\$58b2o4bo4bobob2obo2bo52bo4bo4bo\$63b3o2b2obo5b3o52b2o2b3o2b2o\$62bobobo2bo2bob3o58bobobo\$60b3o3b3o2b2obo3b2o52b4o3b4o\$59bo4b2o3b2o3bob2obo51bo4bobo4bo\$59b2ob2ob2obo2bob3obo51bo2b3o5b3o2bo\$63bobo2bob2o5bo51b2obo2b2ob2o2bob2o\$63bobobo4b3o2b2o53bo9bo\$62b2obob4obo2bobo54bob2o3b2obo\$66bo4bo2bo2bo52b2o2b2o3b2o2b2o\$67b3o5b2o52bo2b2o3bo3b2o2bo\$69b2o59b2o2b7o2b2o\$132bobo2bo2bobo\$132bo2bo3bo2bo\$133b2o5b2o9\$2bo29b2o30b2o36b2o33b2o\$28b2o6b2o19b2o3bo4bo3b2o27b6o22bo6b6o6b2o\$o3bo22bo10bo18bo2bobo4bobo2bo26b8o20bobo4b8o4bo2bo\$27bobo6bobo15b2obob2obo4bob2obob2o22bo8bo19bobo3bo8bo3bob2o\$o24b3obobo2bobob3o13bo2bo2bobob2obobo2bo2bo19bob2o8b2obo15b2ob2ob2o8b2ob2obo\$24bo4b2ob2ob2o4bo14bobo4bo2bo4bobo20bob2ob8ob2obo14bo4b2ob8ob2o4bo\$o3bo20b3obo6bob3o16bo6b2o6bo17b2obo2bo3b6o3bo2bob2o11bobobo3b6o3bobob2o\$27bo4b2o4bo21bo2bo2bo2bo21bobob2o5b2o5b2obobo9b3o4bo5b2o5bo\$2bo25bo3b2o3bo21bob2o4b2obo19bo2bo18bo2bo7bo3b3o16b4o\$29bo6bo21bobo8bobo18bobo2bo14bo2b3o8bobo2bobo12bobo2bo\$30b6o22bo12bo17b2ob3o16b2o10b2ob2o2b2o11bobo2bo\$27bo2b6o2bo17bobo12bobo16bo4b2o6bo5b2o2bo29bo2b2o\$25b3o2b2o2b2o2b3o15b2ob4o4b4ob2o16bob2o4bo3bobo2bo4b2o28b2o\$24bo5b2o2b2o5bo17bobobo2bobobo20bobobobobobobo2bobobobo\$25b3o2b2o2b2o2b3o18bo3b4o3bo23b2obob2o2bob2o2b2o2bo\$27bo2b6o2bo21b2o6b2o26bobo4bo2bo5b2o\$30b6o26b2o2b2o28bobo5b2o\$29bo6bo25bo2bobo29bo\$28bo3b2o3bo25b2o\$27bo4b2o4bo\$25b3obo6bob3o\$24bo4b2ob2ob2o4bo\$25b3obobo2bobob3o\$27bobo6bobo\$27bo10bo\$28b2o6b2o\$32b2o14\$obo61b2o\$64b2o\$o3bo55b2o6b2o\$35bo27b4o\$o3bo29bobo22bo10bo\$34bobo22bobob4obobo\$o3bo28b2ob2o19b2ob2obo2bob2ob2o\$31bo5bo17bo3bo2bo4bo2bo3bo\$obo28bob4o18bo2b2o10b2o2bo\$35bo24bo8bo\$28b2o2b2o3bo18bob2o10b2obo\$31bo2b4o15b2obobo12bobob2o\$27bobobobo19b2obobo12bobob2o\$25b3obo2bo2bo20bob2o10b2obo\$24bo4b2obob2o24bo8bo\$25b3obo2bo22bo2b2o10b2o2bo\$27b2o2b2o22bo3bo2bo4bo2bo3bo\$57b2ob2obo2bob2ob2o\$59bobob4obobo\$59bo10bo\$63b4o\$60b2o6b2o\$64b2o\$64b2o17\$obobo30b2o\$34bobo\$o33bo\$33b2o26bo7bo\$obobo24bo29bo3bo3bo3bo\$28bo3b3o23bo4bo3bo4bo\$o34bo28bobo\$27bobo2b2o2bo23b3obobob3o\$obobo20b3obobo2b2o19bo4bo3bobo3bo4bo\$24bo4b2ob2o20bo9bobo9bo\$25b4o4bo23b2o5bobo5b2o\$29b4o20bo3bo6bobo6bo3bo\$27bo2bo26bo5bo3bo5bo\$27b2o25b2o6bo5bo6b2o\$56b6o7b6o2\$56b6o7b6o\$54b2o6bo5bo6b2o\$57bo5bo3bo5bo\$53bo3bo6bobo6bo3bo\$57b2o5bobo5b2o\$54bo9bobo9bo\$55bo4bo3bobo3bo4bo\$60b3obobob3o\$64bobo\$58bo4bo3bo4bo\$59bo3bo3bo3bo\$61bo7bo9\$111b2ob2o\$107b2obo2b2o2bo2bo2bo\$107bo3bo4b2o2b4o\$104b2obob2ob4o2b2o6bo\$obobo28bo59bo10bobobobobo2bobo2b7o\$31bo2bo20bo6b2o3b2o6bo15bo3bo10bo6bobobobo\$o34bo20b2o4bobobobo4b2o20bo7bo2bo5b3o6b6o\$26b2o2bo4bo17bo23bo12bo5b2obo4bob2o2bo5b4o2b2obobo\$obo23b2o2bo2b4o15bo4bo3bo7bo3bo4bo11b2o2b2obobob2obobo3b5o8bo3bo\$30bo5bo14bob2o2b2obobo5bobob2o2b2obo15bobo2bobobob4o4bobob4obobob2o\$o30b5o14bo4bo2bobobobobobobobo2bo4bo14bobob2obob2o4b2o4b2o4bob2o2bo\$51b3obobo2bobobobobobo2bobob3o16b2obo2bo4b2o2bo3bo3b2obo3bo\$o30b5o17bo2bob2o3b2ob2o3b2obo2bo22bobob3ob2o5b2ob2ob2o3b2o\$30bo5bo17bobo17bobo24b2obo\$26b2o2bo2b4o18b2o17b2o\$26b2o2bo4bo\$35bo\$31bo2bo\$33bo!`

It's sorted roughly by spark type. Oscillators with multiple sparks are included more than once. Unfortunately, I wasn't able to easily find all of the credits, so a few are missing.

Posted: March 30th, 2018, 12:09 am
It could better be a thumb:
`x = 14, y = 13, rule = B3/S234b2o\$2obobo\$2obo4bo\$3bobo3bo\$2obobo4bo\$bobo4bobo\$bob2obobobob2o\$2bo3bob2o2bo\$3b2ob2o4bo\$4bo4b3o\$4bob3obo\$3b2obo5bo\$11b2o!`

Posted: March 30th, 2018, 8:09 am
Bullet51 wrote:It could better be a thumb:
`p9 sparker`

`x = 14, y = 11, rule = B3/S234b2o\$2obobo\$2obo4bo\$3bobo3bo\$3bobo4bo\$2obo4bobo\$o2b2obobobobo\$2bo3bob2obobo\$3b3obo3bobo\$5bobo3b2o\$6bo!`

Posted: March 30th, 2018, 8:34 am
`x = 14, y = 11, rule = B3/S234b2o\$2obobo\$2obo4bo\$3bobo3bo\$3bobo4bo\$2obo4bobo\$o2b2obobobobo\$2bo3bob2obobo\$3b3obo3bobo\$5bobo3b2o\$6bo!`

That has a bit more clearance than the traditional p9 thumb on one side, but much less clearance on the other. The minimal population is one less, but with worse clearance:
`x = 14, y = 11, rule = B3/S234b2o\$3bobo\$3bo4bo\$2obobo3bo\$bobobo4bob2o\$bobo4bobobo\$2ob2obobobo2bo\$2bo3bob2o2b2o\$2bob2obo\$3bobobo\$6bo!`

Posted: April 1st, 2018, 12:04 pm
mniemiec wrote:
83bismuth38 wrote:OH MY GOODNESS IS THIS A NEW PHOENIX(technically it's not an expansion of phoenix 1): ... EDIT: what about this?: ... or this: ...

It is ridiculously easy to create period 2 oscillators by combining small pieces together as one would toy train tracks. It's even easy to create glider syntheses of rectangular phoenixes like your last two examples. I have syntheses for those two that were last updated in 2002, and I think Dave Buckingham first synthesized them in the 1990s or earlier. You should familiarize yourself with some of the existing pattern collections, like jslife. You will find many expandable oscillators like this one there.

This is possible with P4 oscillators also, as mentioned in the soup search results thread:

`x = 11, y = 18, rule = B3/S23o\$o2bo\$o2bo\$bobo\$bobo\$3b2o\$3b2o\$4bobo\$4bobo\$4bobo\$4bobo\$6b2o\$6b2o\$7bobo\$7bobo\$7bo2bo\$7bo2bo\$10bo!`

`x = 44, y = 36, rule = B3/S23\$6bo8bo\$6b3o4b3o\$6b3o4b3o2\$7b3o2b3o\$7b2o4b2o5\$6bo\$6b3o\$6b3o2\$7b3o3b2o\$7b2o3b3o19b2o\$32b4o\$13b3o16bo\$13b3o18bo\$15bo16b3o\$25bo6bo\$25b3o4bo\$25b3o4b2o4b2o\$33b2o2b3o\$5bo20b3o2b2o\$5b3o10bo7b2o4b2o4b3o\$5b3o8b3o14bo4b3o\$33bo6bo\$6b3o3b2o3b3o11b3o\$6b2o3b3o3b3o11bo\$19bo13bo\$12b3o15b4o\$12bo17b2o!`

And possible extensions to e.g.
`x = 17, y = 27, rule = B3/S23\$b2o\$b4o\$4bo\$2bo\$2b3o\$4bo\$5bo\$5b3o\$7bo\$5bo\$5b3o\$7bo\$8bo\$8b3o\$10bo\$8bo\$8b3o\$10bo\$11bo\$11b3o\$13bo\$11bo\$11b4o\$13b2o!`

are trivial.[/quote]

Posted: April 3rd, 2018, 7:25 am
A recent discovery by Jormungant gives some nice 2G-to-H converters:
`x = 26, y = 110, rule = B3/S238b2o\$8bo\$2o3b2obo\$o4bobo\$b3obo\$3bob2o2\$23bo\$8b2o13bo\$9b2ob2o9b3o\$obo5bo3b2o11bo\$b2o\$bo6\$7b2obo\$7b2ob3o\$13bo\$7b2ob3o\$8bobo\$8bobo\$9bo6\$8b2o\$8bo\$2o3b2obo\$o4bobo\$b3obo\$3bob2o2\$23bo\$8b2o13bo\$9b2ob2o9b3o\$8bo3b2o11bo8\$8b3o\$8bo\$9bo10\$8b2o\$8bo\$2o3b2obo\$o4bobo\$b3obo\$3bob2o2\$23bo\$8b2o13bo\$9b2ob2o9b3o\$8bo3b2o11bo7\$3o\$2bo\$bo11\$8b2o\$8bo\$2o3b2obo\$o4bobo\$b3obo\$3bob2o2\$23bo\$8b2o13bo\$9b2ob2o9b3o\$8bo3b2o11bo7\$b2o\$obo\$2bo!`

The first of these works at p52, although an extra glider stream is needed to suppress the first natural glider of the output herschel. If anyone can find a way to get 4 output glider from 3 input gliders, we might be able to build a p52 gun:
`x = 403, y = 269, rule = B3/S23359b2o\$360b2o\$359bo2\$298b2obo\$298bob2o2\$296b6o\$296bo5bo4bo\$298bobobo2b3o\$297b2obobobo\$287b2o7bo5bobob2o\$286bo2bo5bo2b3obo2bobo\$84b2obob2o43b2obob2o43b2obob2o43b2obob2o45bobobo3bob2o3bob2o41b2o\$84bob2obobo42bob2obobo42bob2obobo42bob2obobo45bobobo2bo2bo3bo3b2o40b2o\$89bo2bo46bo2bo46bo2bo46bo2bo46bo2bob2obob2ob2o3bo38bo\$85b2ob2ob2o42b2ob2ob2o42b2ob2ob2o42b2ob2ob2o45b2ob2o4b2o3bob2obo\$86bobobo2b2o41bobobo2b2o41bobobo2b2o41bobobo2b2o43bobo2b2obo3bo3bobo\$86bobob2o3bo40bobob2o3bo40bobob2o3bo40bobob2o3bo39b2obob2o3b2ob2o4bo\$84b2obo4b3o39b2obo4b3o39b2obo4b3o39b2obo4b3o38b3obo4b2o4bo2b3obo\$83bo3bobo2bo40bo3bobo2bo40bo3bobo2bo40bo3bobo2bo39bo4bobo2bob3obob2obobo\$84b3ob4o42b3ob2o44b3ob4o42b3ob2o43b4ob4o4bobob3o2bob2obo\$86bo3bo45bobob2o44bo3bo45bobob2o39bobo2bo3bo7bo6bobob2o\$78b2o8bob2o36b2o8bo39b2o8bob2o36b2o8bo41bobo5bob2o5bobo5bo\$78bo8b2o39bo8b2obo37bo8b2o39bo8b2obo38bobo5b2o8bo3bobobo2b3o\$79bo10b2o37bo9b2o38bo10b2o37bo9b2o38bo10b2o2b2obob2ob2obobo2bo\$78b2o7b2o39b2o7b2obo37b2o7b2o39b2o7b2obo37b2o7b2o6bobo4bob2o2bo24b2o\$71b2ob2o2bo7bobobo30b2ob2o2bo7bobob2o29b2ob2o2bo7bobobo30b2ob2o2bo7bobob2o29b2ob2o2bo7bobobo3bo3b3o5bob2o24b2o\$72bobobobo7bobo33bobo2b3o6bo35bobobobo7bobo33bobo2b3o6bo35bobobobo7bobo6b3o2bob5o3bo22bo\$72bobo2bo5b2obo2b2o31bobo3b2o3b2obo3b2o30bobo2bo5b2obo2b2o31bobo3b2o3b2obo3b2o30bobo2bo5b2obo2b2o7bo9b2o\$70b2o2b4ob2obo2bob4o4b2o23b2o2b2o6bo2bob2ob2o3b2o23b2o2b4ob2obo2bob4o4b2o23b2o2b2o6bo2bob2ob2o3b2o23b2o2b4ob2obo2bob4o4b2ob2obo3b3o\$71bobo3b2o4bobobo6bobo24bobo2b3o4bobobob2o3bobo24bobo3b2o4bobobo6bobo24bobo2b3o4bobobob2o3bobo24bobo3b2o4bobobo8bobo8bo\$obo67bo2b2o6b3obobo3bo2bo25bo2b4obob4obobo2b2o2bo25bo2b2o6b3obobo3bo2bo25bo2b4obob4obobo2b2o2bo25bo2b2o6b3obobo3bo3bo2bobob2o\$b2o68b2o3b5o4bob2o3bob2o25b2o3bo3bo4bob2o3bob2o25b2o3b5o4bob2o3bob2o25b2o3bo3bo4bob2o3bob2o25b2o3b5o4bob2o3bobob2o5bob2o\$bo70bob2ob4ob2obo3bob2o2bo26bob2o6b2obo3b4o2bo26bob2ob4ob2obo3bob2o2bo26bob2o6b2obo3b4o2bo26bob2ob4ob2obo3bob2obo3b5o6b2o\$72bo2bo6bobob2o5bo28bo2bobo2bobobob2o2bo2bo28bo2bo6bobob2o5bo28bo2bobo2bobobob2o2bo2bo28bo2bo6bobob2o5bobobo2b3o4bo2bo\$71b2obo2bo2bo3bo2b2ob3o28b2obo2b4o3bo2bobob2o28b2obo2bo2bo3bo2b2ob3o28b2obo2b4o3bo2bobob2o28b2obo2bo2bo3bo2b2ob3o2bob2o6b3obo\$72bob5obobo2bo36bob2o2bobobo2bo36bob5obobo2bo36bob2o2bobobo2bo36bob5obobo2bo9bo7b2o4b2o\$71bo5b4ob2ob4o6b2o24bo10b2ob5o5b2o24bo5b4ob2ob4o6b2o24bo10b2ob5o5b2o24bo5b4ob2ob4o7b4obobob3o\$70bob3obo3bo3bo5b4o2bo23bob4o4bo3bo3bob2obo2bo23bob3obo3bo3bo5b4o2bo23bob4o4bo3bo3bob2obo2bo23bob3obo3bo3bo5b4o5bo3b2o2bob2o9b2o\$70bo3bobob2ob2obo2bo3bob3o24bo3bob2obob2obo2b2o4b3o24bo3bobob2ob2obo2bo3bob3o24bo3bob2obob2obo2b2o4b3o24bo3bobob2ob2obo2bo3bob6obo3bo2bobo11b2o\$68b3o10bob2obobo2bo26b3o5bo2bobob2obo3b2o26b3o10bob2obobo2bo26b3o5bo2bobob2obo3b2o26b3o10bob2obobo2bo5bo2b2o4b2o2bo9bo\$67bo7b2obo7b2o3b3o23bo7b2o9bo5b2o23bo7b2obo7b2o3b3o23bo7b2o9bo5b2o23bo7b2obo7b2o3b3ob4ob2o2bo3b2o\$67b2o9bo7bo7bo22b2o4b2obo2bo6bo3bo3bo22b2o9bo7bo7bo22b2o4b2obo2bo6bo3bo3bo22b2o9bo7bo7b2ob2o2bo3b3o\$69bo2bob2o2bo8b2ob3o2bo23bo3b2obo10b2o2b2o2bo23bo2bob2o2bo8b2ob3o2bo23bo3b2obo10b2o2b2o2bo23bo2bob2o2bo8b2ob3o4bo5bo3bo\$13bobo51b2o2bo2bob3o4b2o8b2o22b2o2bobobob2o4b2o4bo2b3o22b2o2bo2bob3o4b2o8b2o22b2o2bobobob2o4b2o4bo2b3o22b2o2bo2bob3o4b2o8b5ob2o2b3o\$14b2o52bob2obobobo5b2o2b2o2bo26bob2obobo7b2o6bo26bob2obobobo5b2o2b2o2bo26bob2obobo7b2o6bo26bob2obobobo5b2o2b2o2bo6b5o\$14bo53bobo2b2obo2b2o6b3obob2o23bobo2b7o8b3o2b2o23bobo2b2obo2b2o6b3obob2o23bobo2b7o8b3o2b2o23bobo2b2obo2b2o6b3obob3o5bobo2bo\$67b2obobo15bo4bo23b2obobo5b2o9bobobo23b2obobo15bo4bo23b2obobo5b2o9bobobo23b2obobo15bo4bo2bo2bo5bo\$67bo3bob2ob3o4b2o3b3o2bo23bo3bob4o6b2o5b2obo23bo3bob2ob3o4b2o3b3o2bo23bo3bob4o6b2o5b2obo23bo3bob2ob3o4b2o3b3o2bo2bo4b3o\$68b2obo2bo3bo4b2o3b3ob2ob2o21b2obo2bobo6b2o5b2obob2o21b2obo2bo3bo4b2o3b3ob2ob2o21b2obo2bobo6b2o5b2obob2o21b2obo2bo3bo4b2o3b3ob2ob2o3bobo\$69bobob2o3bo10bo3bobo23bob2o3bo13bo2bobo23bobob2o3bo10bo3bobo23bob2o3bo13bo2bobo23bobob2o3bo10bo3bobob2o3b2o\$69bobob3o2bo11b2obo2bo7b2o13bobo4bo2bo10b2obo2bo7b2o13bobob3o2bo11b2obo2bo7b2o13bobo4bo2bo10b2obo2bo7b2o13bobob3o2bo11b2obob2ob3ob2o3b2o\$68b2obo2b2obo13bobob2o7bo13b2obob2o3bo12bobob2o7bo13b2obo2b2obo13bobob2o7bo13b2obob2o3bo12bobob2o7bo13b2obo2b2obo13bobobobo10b2o\$71bo3b2o14bobo8bobo16bob4o14bobo8bobo16bo3b2o14bobo8bobo16bob4o14bobo8bobo16bo3b2o14bobo2bo10bo\$71bo20b2o8b2o17bo2b2o16b2o8b2o17bo20b2o8b2o17bo2b2o16b2o8b2o17bo20b2o\$72b2o48b2o48b2o48b2o48b2o13b2o\$73bo49bo49bo14b2o33bo13b3o33bo13bobo\$26bobo32bo8b3o15bo22bo8b3o15b3o20bo8b3o15bobo20bo8b3o14bo23bo8b3o14bo23bo\$27b2o32b3o6bo18b2o20b3o6bo17bo22b3o6bo17bo22b3o6bo17bo22b3o6bo40b3o\$27bo36bo24bo24bo10b3o12bo23bo49bo14bo34bo14b2o33bo13b4o\$47b2o14b2o10b3o8bo26b2o10b4o7bo26b2o13b2o33b2o14b2o32b2o14bobo31b2o13bo2b2o\$47bo26b2ob2o7bobo35b2o2b2o6bo42b2o49b2o47bob2o46bo2b2o\$39b2o3b2obo26b2o2bo7bobo3b2o31b2obo49b2o50bo14b3o32b2o15bo31bo2bo\$39bo4bobo29b2o14b4o29b3o13bo3bo30b3o16b3o31bo50bo17b2o30b2o\$40b3obo46bo4bo29bo16bo2b2o28bo15bobobobo26bobo13b2obobob2o43b2o2b3o\$42bob2o44b4o2bo46bo3bo25b4o14b2obo3bo24bobo18bobo2bo23b2o18b2o5bo\$90b2obob2o25b3o18bo3bo25b2o17bobo2b2o13bobo30bob3o25bo16b3o4bo14b2o25bo\$59bobo10b3o15b2o21bo8b3o15b2o3b2o14b4o8b3o14bo5bo14bo3bo9bo15b2o17bobo2b2o24b2o2bo3bo11bob4o23bobo\$47b2o10bobobo9bo18b3o16b2obo5b2o2bo16b4o20bo8bobo13b2obo2bo14bo4bo8bo15bo4bo13bo2b2o2bo23bo5bo12b2obo3b2o22bo\$48b2ob2o11b2o4b2ob2o26b2o9bob2o4b2o21bo7b2o8bo4bo2bo2bo3bo12b2ob2obo5b2o8bo4bo4bobo18bo8b2o10b2o2bo33b2o8bo2b2ob2o\$39bobo5bo3b2o10bo7b3o2bobo9b2o11b2o11bo5b2o3b3o10b2o11b2o9b2obo4b6o12b2o11b2o9bo3bo2b2o5bo11b2o3bo7b2o8b2o2bobo20b2o11b2o9b6o\$40b2o30bo4bo11bo33bob3o11bo24bo6b2o2b2o12bo22bo2bo8bobo12bo34b3o12bo23bo13bo\$40bo31b2o2bo9b3o6bo28bobo9b3o6bo40b3o6bo40b3o6bo40b3o6bo29bobo\$73b2o11bo8b3o24bo2bo10bo8b3o28bo9bo8b3o26bo11bo8b3o26bo11bo8b3o10bo17b2o\$74bo23bo24b3o22bo24b3o22bo24bo2bo21bo8b3o13b2o23bo8b3o\$97b2o48b2o24b3o21b2o8b3o13bo23b2o8b3o13b2o22b2o7bo3bo\$77b2o17bo4bo15b2o8b2o17bo10b3o7b2o8b2o17bo4bo4bo3bo6b2o5bo3bo17bo9bo3bo6b2o8b2o17bo4bo6b2o7b2o3bo\$77bobo16bo4bo5b3o6bobo8bobo16b2ob3o4bo2bo6bobo8bobo16bo4bo4b2ob2o5bobo7b2obo16b2ob3o8bo5bobo8bobo16bo4bo4b3o7bobo2bo\$46b2obo29bo13b2obobo2b2o3bo2bo6bobob2o7bo13b2obobo3bo2bo3bo6bobob2o7bo13b2obobo2b2o2bobo8bobob2o7bo13b2obobo3bo3b2o8bobob2o7bo13b2obobo2b2o13bobobo3b2obo\$46b2ob3o27b2o13bobobobobo2bo9b2obo2bo7b2o13bobo4b3o11b2obo2bo7b2o13bobobobobo12b2obo2bo7b2o13bobo4b3o11b2obo2bo7b2o13bobobobobo12b2obo2b2o5bo\$52bo41bob2o3b2o2bo5bo2bo3bobo23bobo5b2ob2o6bo4bobo23bob2o3b2o11bo3bobo23bobo5b3o8bo4bobo23bob2o3b2o11bo3b2o4bo3bo\$34b2o10b2ob3o15b2o24b2obo2bob2o3bo4bo2bo3bob2o21b2obo6bo5bo2bo3b3ob2o21b2obo2bob2o5b2o4bo3bob2o21b2obo6b2o3b2o6b3ob2o21b2obo2bob2o5b2o4bo3bobobo4bo\$35b2o10bobo17bobo22bo3bob2ob2o5b3o3bo3bo23bo3bob3ob2o4b2o5b2obo23bo3bob2ob2o5bo5bo3bo23bo3bob3ob2o4b2o2bo2b2obo23bo3bob2ob2o5b2o4bo3bobo4b3obo\$34bo12bobo17bo24b2obobo6bo8bo2bobo23b2obobo3bob2o4b2o7bo23b2obobo6bo8bo2bobo23b2obobo3bob2o13bo23b2obobo6bo8bo2bobo11bo\$48bo44bobo2bob3obo8b2obob2o23bobo2b4o6b2o4b2o2b2o23bobo2bob3obo8b2obob2o23bobo2b4o12b2o2b2o23bobo2bob3obo8b2obob4obob3ob2o9bo\$93bob2obo5bo3b2o3bo2bo26bob2obo5bo3b2o2bob2o27bob2obo5bo3b2o3bo2bo26bob2obo5bo3b2o2bob2o27bob2obo5bo3b2o3bo2bo12b2o7bobo\$92b2o2bobobobo5b2o3bobo2b2o22b2o2bo6bo4b2o4b2o2b2o22b2o2bobobobo5b2o3bobo2b2o22b2o2bo6bo4b2o4b2o2b2o22b2o2bobobobo5b2o3bobo2b5obo3b2o9b2o\$94bo6bobo8b6o2bo23bo3b4ob2o7bo3b2o2bo23bo6bobo8b6o2bo23bo3b4ob2o7bo3b2o2bo23bo6bobo8b6o4bob2o6bo\$92b2o4bo2b2o8bo7bo22b2o5bobob2o6bobobo3bo22b2o4bo2b2o8bo7bo22b2o5bobob2o6bobobo3bo22b2o4bo2b2o8bo7b2o2b3o3b4o\$92bo6bob2o2bo5b2o2bob2o23bo9bo8bo4b3o23bo6bob2o2bo5b2o2bob2o23bo9bo8bo4b3o23bo6bob2o2bo5b2o2bob2ob2o3bo7b2o\$93b3o7bo2bob2obo4bo26b3o5bob4ob2obobob2o26b3o7bo2bob2obo4bo26b3o5bob4ob2obobob2o26b3o7bo2bob2obo4bo5bo2bo4bobo2bo\$95bo3bob4ob2obo2b2o4b3o24bo3bo2bobob2obo2bo5b3o24bo3bob4ob2obo2b2o4b3o24bo3bo2bobob2obo2bo5b3o24bo3bob4ob2obo2b2o4b5o3bo5bobo\$95bob5o3bo3bo5bob2o2bo23bob3obo7bo3bob2obo2bo23bob5o3bo3bo5bob2o2bo23bob3obo7bo3bob2obo2bo23bob5o3bo3bo5bob2o5bo3bobobob2o\$96bo7bo2b2ob6o4b2o24bo8bob2ob3o3b2o2b2o24bo7bo2b2ob6o4b2o24bo8bob2ob3o3b2o2b2o24bo7bo2b2ob6o5b8o2b2o\$21b2o57b2o15bob2ob2obobo2bo3b2o31bob2o4bobo2bo3bobo30bob2ob2obobo2bo3b2o31bob2o4bobo2bo3bobo30bob2ob2obobo2bo3b2o4bo5bo2bo4b2o\$22b2o56bobo13b2obo2bo2bo3bo2b2ob3o28b2obo2b3o4bo2b2o2b2o28b2obo2bo2bo3bo2b2ob3o28b2obo2b3o4bo2b2o2b2o28b2obo2bo2bo3bo2b2ob3o2bob2obo4b3obo\$21bo58bo16bo2bobo2bobobob2o5bo28bo2bobo2bobobob2obo3bo28bo2bobo2bobobob2o5bo28bo2bobo2bobobob2obo3bo28bo2bobo2bobobob2o5bobobob3o5bo2bo\$97bob2o6b2obo3b2obo2bo26bob2o4bob2obo5b2o2bo26bob2o6b2obo3b2obo2bo26bob2o4bob2obo5b2o2bo26bob2o6b2obo3b2obobo3bo3b2o5b2o17bo\$96b2o3b2ob2o4bob2o3bob2o25b2o3bo8bob2obobob2o25b2o3b2ob2o4bob2o3bob2o25b2o3bo8bob2obobob2o25b2o3b2ob2o4bob2o3bobob2o7bo20bobo\$95bo2b2o3bob4obobo2b2o2bo25bo2b2obo3b4obobo6bo25bo2b2o3bob4obobo2b2o2bo25bo2b2obo3b4obobo6bo25bo2b2o3bob4obobo2b2o3bo2b3o3b3o20b2o\$96bobo4b2o3bobobo6bobo24bobo3b4o2bobobob2o3bobo24bobo4b2o3bobobo6bobo24bobo3b4o2bobobob2o3bobo24bobo4b2o3bobobo8bobob4obobo\$95b2o2b3o2bo2bo2bob2o6b2o23b2o2b2o3bo2bo2bobo2bo4b2o23b2o2b3o2bo2bo2bob2o6b2o23b2o2b2o3bo2bo2bobo2bo4b2o23b2o2b3o2bo2bo2bob2o6b2o2bobob2ob2o\$97bobo2bobo3b2obo2b3o30bobo4bo3b2obo3bo31bobo2bobo3b2obo2b3o30bobo4bo3b2obo3bo31bobo2bobo3b2obo2b3o6bo4bo4b2o\$97bobo2bo8bo2bo32bobobobo7bobobo31bobo2bo8bo2bo32bobobobo7bobobo31bobo2bo8bo2bo5b3o5b4o3bo\$96b2ob2o10bobob2o29b2ob2o2bo7bobo32b2ob2o10bobob2o29b2ob2o2bo7bobo32b2ob2o10bobob2o2bo3b4o4bob2o\$103b2o7b2o39b2o7b2ob2o36b2o7b2o39b2o7b2ob2o36b2o7b2o6bobo7bo2bo\$104bo10b2o37bo9bo39bo10b2o37bo9bo39bo10b2o2b2ob4ob2obobo2bo\$8b2o83b2o8bo8b2obo37bo8b2o39bo8b2obo37bo8b2o40bobo5b2obo6bobo3bobo2b3o\$9b2o82bobo7b2o8bob2o36b2o8bob2o36b2o8bob2o36b2o8bob2o38bobo5bob2o5bobo2bo2bo\$8bo84bo17bobobo45bobo47bobobo45bobo42bobo2bobobo7bo6bobob2o\$109b3o4bo42b3obo2bo42b3o4bo42b3obo2bo41b4o4bo4bobobo2bobob2obo30bo\$108bo3bobo2bo40bo3bobo2bo40bo3bobo2bo40bo3bobo2bo39bo4bobo2bob3obob2obobo33bobo\$109b2obob2ob3o39b2obob2ob3o39b2obob2ob3o39b2obob2ob3o38b3obob2ob2o4bo4bobo34b2o\$111bobob2o3bo40bobob2o3bo40bobob2o3bo40bobob2o3bo39b2obob2o3b2ob3o3bo\$111bobo4b2o41bobo4b2o41bobo4b2o41bobo4b2o43bo4b2obo5bobobo\$110b2obo2b2o42b2obo2b2o42b2obo2b2o42b2obo2b2o45bo2b2o4b2obobob2obo\$114bo2bo46bo2bo46bo2bo46bo2bo46bo2bob2obo4b2o3bo\$109bob2obobo42bob2obobo42bob2obobo42bob2obobo45bobobo2bo2bobobo3b2o\$109b2obob2o43b2obob2o43b2obob2o43b2obob2o45bobobo3bob2obobob2o\$311bo2bo5bo2b3obo2bobo\$106b2o204b2o7bo5bobob2o\$106bobo213b4obobo\$106bo216bobobo2b3o\$321bo5bo4bo\$321b6o2\$323bob2o\$323b2obo25\$84b2obob2o43b2obob2o43b2obob2o43b2obob2o43b2obob2o43b2obob2o\$84bob2obobo42bob2obobo42bob2obobo42bob2obobo42bob2obobo42bob2obobo\$89bo2bo46bo2bo46bo2bo46bo2bo46bo2bo46bo2bo\$85b2ob2ob2o42b2ob2ob2o42b2ob2ob2o42b2ob2ob2o42b2ob2ob2o42b2ob2ob2o\$86bobobo2b2o41bobobo2b2o41bobobo2b2o41bobobo2b2o41bobobo2b2o41bobobo2b2o\$86bobob2o3bo40bobob2o3bo40bobob2o3bo40bobob2o3bo40bobob2o3bo40bobob2o3bo\$84b2obo4b3o39b2obo4b3o39b2obo4b3o39b2obo4b3o39b2obo4b3o39b2obo4b3o\$83bo3bobo2bo40bo3bobo2bo40bo3bobo2bo40bo3bobo2bo40bo3bobo2bo40bo3bobo2bo57b3o\$84b3ob4o42b3ob2o44b3ob4o42b3ob2o44b3ob4o42b3ob2o62bo\$86bo3bo45bobob2o44bo3bo45bobob2o44bo3bo45bobob2o59bo\$78b2o8bob2o36b2o8bo39b2o8bob2o36b2o8bo39b2o8bob2o36b2o8bo\$78bo8b2o39bo8b2obo37bo8b2o39bo8b2obo37bo8b2o39bo8b2obo\$79bo10b2o37bo9b2o38bo10b2o37bo9b2o38bo10b2o37bo9b2o\$78b2o7b2o39b2o7b2obo37b2o7b2o39b2o7b2obo37b2o7b2o39b2o7b2obo\$71b2ob2o2bo7bobobo30b2ob2o2bo7bobob2o29b2ob2o2bo7bobobo30b2ob2o2bo7bobob2o29b2ob2o2bo7bobobo30b2ob2o2bo7bobob2o\$72bobobobo7bobo33bobo2b3o6bo35bobobobo7bobo33bobo2b3o6bo35bobobobo7bobo33bobo2b3o6bo62b2o\$72bobo2bo5b2obo2b2o31bobo3b2o3b2obo3b2o30bobo2bo5b2obo2b2o31bobo3b2o3b2obo3b2o30bobo2bo5b2obo2b2o31bobo3b2o3b2obo3b2o56bobo\$70b2o2b4ob2obo2bob4o4b2o23b2o2b2o6bo2bob2ob2o3b2o23b2o2b4ob2obo2bob4o4b2o23b2o2b2o6bo2bob2ob2o3b2o23b2o2b4ob2obo2bob4o4b2o23b2o2b2o6bo2bob2ob2o3b2o53bo\$71bobo3b2o4bobobo6bobo24bobo2b3o4bobobob2o3bobo24bobo3b2o4bobobo6bobo24bobo2b3o4bobobob2o3bobo24bobo3b2o4bobobo6bobo24bobo2b3o4bobobob2o3bobo\$obo67bo2b2o6b3obobo3bo2bo25bo2b4obob4obobo2b2o2bo25bo2b2o6b3obobo3bo2bo25bo2b4obob4obobo2b2o2bo25bo2b2o6b3obobo3bo2bo25bo2b4obob4obobo2b2o2bo\$b2o68b2o3b5o4bob2o3bob2o25b2o3bo3bo4bob2o3bob2o25b2o3b5o4bob2o3bob2o25b2o3bo3bo4bob2o3bob2o25b2o3b5o4bob2o3bob2o25b2o3bo3bo4bob2o3bob2o41b3o\$bo70bob2ob4ob2obo3bob2o2bo26bob2o6b2obo3b4o2bo26bob2ob4ob2obo3bob2o2bo26bob2o6b2obo3b4o2bo26bob2ob4ob2obo3bob2o2bo26bob2o6b2obo3b4o2bo43bo\$72bo2bo6bobob2o5bo28bo2bobo2bobobob2o2bo2bo28bo2bo6bobob2o5bo28bo2bobo2bobobob2o2bo2bo28bo2bo6bobob2o5bo28bo2bobo2bobobob2o2bo2bo44bo\$71b2obo2bo2bo3bo2b2ob3o28b2obo2b4o3bo2bobob2o28b2obo2bo2bo3bo2b2ob3o28b2obo2b4o3bo2bobob2o28b2obo2bo2bo3bo2b2ob3o28b2obo2b4o3bo2bobob2o\$72bob5obobo2bo36bob2o2bobobo2bo36bob5obobo2bo36bob2o2bobobo2bo36bob5obobo2bo36bob2o2bobobo2bo\$71bo5b4ob2ob4o6b2o24bo10b2ob5o5b2o24bo5b4ob2ob4o6b2o24bo10b2ob5o5b2o24bo5b4ob2ob4o6b2o24bo10b2ob5o5b2o\$70bob3obo3bo3bo5b4o2bo23bob4o4bo3bo3bob2obo2bo23bob3obo3bo3bo5b4o2bo23bob4o4bo3bo3bob2obo2bo23bob3obo3bo3bo5b4o2bo23bob4o4bo3bo3bob2obo2bo\$70bo3bobob2ob2obo2bo3bob3o24bo3bob2obob2obo2b2o4b3o24bo3bobob2ob2obo2bo3bob3o24bo3bob2obob2obo2b2o4b3o24bo3bobob2ob2obo2bo3bob3o24bo3bob2obob2obo2b2o4b3o\$68b3o10bob2obobo2bo26b3o5bo2bobob2obo3b2o26b3o10bob2obobo2bo26b3o5bo2bobob2obo3b2o26b3o10bob2obobo2bo26b3o5bo2bobob2obo3b2o44b2o\$67bo7b2obo7b2o3b3o23bo7b2o9bo5b2o23bo7b2obo7b2o3b3o23bo7b2o9bo5b2o23bo7b2obo7b2o3b3o23bo7b2o9bo5b2o41bobo\$67b2o9bo7bo7bo22b2o4b2obo2bo6bo3bo3bo22b2o9bo7bo7bo22b2o4b2obo2bo6bo3bo3bo22b2o9bo7bo7bo22b2o4b2obo2bo6bo3bo3bo42bo\$69bo2bob2o2bo8b2ob3o2bo23bo3b2obo10b2o2b2o2bo23bo2bob2o2bo8b2ob3o2bo23bo3b2obo10b2o2b2o2bo23bo2bob2o2bo8b2ob3o2bo23bo3b2obo10b2o2b2o2bo\$13bobo51b2o2bo2bob3o4b2o8b2o22b2o2bobobob2o4b2o4bo2b3o22b2o2bo2bob3o4b2o8b2o22b2o2bobobob2o4b2o4bo2b3o22b2o2bo2bob3o4b2o8b2o22b2o2bobobob2o4b2o4bo2b3o\$14b2o52bob2obobobo5b2o2b2o2bo26bob2obobo7b2o6bo26bob2obobobo5b2o2b2o2bo26bob2obobo7b2o6bo26bob2obobobo5b2o2b2o2bo26bob2obobo7b2o6bo32b3o\$14bo53bobo2b2obo2b2o6b3obob2o23bobo2b7o8b3o2b2o23bobo2b2obo2b2o6b3obob2o23bobo2b7o8b3o2b2o23bobo2b2obo2b2o6b3obob2o23bobo2b7o8b3o2b2o31bo\$67b2obobo15bo4bo23b2obobo5b2o9bobobo23b2obobo15bo4bo23b2obobo5b2o9bobobo23b2obobo15bo4bo23b2obobo5b2o9bobobo31bo\$67bo3bob2ob3o4b2o3b3o2bo23bo3bob4o6b2o5b2obo23bo3bob2ob3o4b2o3b3o2bo23bo3bob4o6b2o5b2obo23bo3bob2ob3o4b2o3b3o2bo23bo3bob4o6b2o5b2obo\$68b2obo2bo3bo4b2o3b3ob2ob2o21b2obo2bobo6b2o5b2obob2o21b2obo2bo3bo4b2o3b3ob2ob2o21b2obo2bobo6b2o5b2obob2o21b2obo2bo3bo4b2o3b3ob2ob2o21b2obo2bobo6b2o5b2obob2o\$69bobob2o3bo10bo3bobo23bob2o3bo13bo2bobo23bobob2o3bo10bo3bobo23bob2o3bo13bo2bobo23bobob2o3bo10bo3bobo23bob2o3bo13bo2bobo\$69bobob3o2bo11b2obo2bo7b2o13bobo4bo2bo10b2obo2bo7b2o13bobob3o2bo11b2obo2bo7b2o13bobo4bo2bo10b2obo2bo7b2o13bobob3o2bo11b2obo2bo7b2o13bobo4bo2bo10b2obo2bo\$68b2obo2b2obo13bobob2o7bo13b2obob2o3bo12bobob2o7bo13b2obo2b2obo13bobob2o7bo13b2obob2o3bo12bobob2o7bo13b2obo2b2obo13bobob2o7bo13b2obob2o3bo12bobob2o\$71bo3b2o14bobo8bobo16bob4o14bobo8bobo16bo3b2o14bobo8bobo16bob4o14bobo8bobo16bo3b2o14bobo8bobo16bob4o14bobo29b2o\$71bo20b2o8b2o17bo2b2o16b2o8b2o17bo20b2o8b2o17bo2b2o16b2o8b2o17bo20b2o8b2o17bo2b2o16b2o28bobo\$72b2o48b2o48b2o48b2o48b2o13b2o33b2o12b3o35bo\$73bo49bo49bo14b2o33bo13b3o33bo13bobo33bo12bo\$26bobo32bo8b3o15bo22bo8b3o15b3o20bo8b3o15bobo20bo8b3o14bo23bo8b3o14bo23bo8b3o14bo16bo\$27b2o32b3o6bo18b2o20b3o6bo17bo22b3o6bo17bo22b3o6bo17bo22b3o6bo40b3o6bo31b3o6b3o\$27bo36bo24bo24bo10b3o12bo23bo49bo14bo34bo14b2o33bo13b4o19bo11bo\$47b2o14b2o10b3o8bo26b2o10b4o7bo26b2o13b2o33b2o14b2o32b2o14bobo31b2o13bo2b2o18b2o9bo\$47bo26b2ob2o7bobo35b2o2b2o6bo42b2o49b2o47bob2o46bo2b2o\$39b2o3b2obo26b2o2bo7bobo3b2o31b2obo49b2o50bo14b3o32b2o15bo31bo2bo\$39bo4bobo29b2o14b4o29b3o13bo3bo30b3o16b3o31bo50bo17b2o30b2o16b2o\$40b3obo46bo4bo29bo16bo2b2o28bo15bobobobo26bobo13b2obobob2o43b2o2b3o44bo4b2o\$42bob2o44b4o2bo46bo3bo25b4o14b2obo3bo24bobo18bobo2bo23b2o18b2o5bo44b2o3b2o\$90b2obob2o25b3o18bo3bo25b2o17bobo2b2o13bobo30bob3o25bo16b3o4bo14b2o28b2o3b2o9b2o\$59bobo10b3o15b2o21bo8b3o15b2o3b2o14b4o8b3o14bo5bo14bo3bo9bo15b2o17bobo2b2o24b2o2bo3bo11bob4o23b2o7bo9bobo\$47b2o10bobobo9bo18b3o16b2obo5b2o2bo16b4o20bo8bobo13b2obo2bo14bo4bo8bo15bo4bo13bo2b2o2bo23bo5bo12b2obo3b2o22b2o18bo\$48b2ob2o11b2o4b2ob2o26b2o9bob2o4b2o21bo7b2o8bo4bo2bo2bo3bo12b2ob2obo5b2o8bo4bo4bobo18bo8b2o10b2o2bo33b2o8bo2b2ob2o\$39bobo5bo3b2o10bo7b3o2bobo9b2o11b2o11bo5b2o3b3o10b2o11b2o9b2obo4b6o12b2o11b2o9bo3bo2b2o5bo11b2o3bo7b2o8b2o2bobo20b2o11b2o9b6o20b2o\$40b2o30bo4bo11bo33bob3o11bo24bo6b2o2b2o12bo22bo2bo8bobo12bo34b3o12bo23bo13bo11bo\$40bo31b2o2bo9b3o6bo28bobo9b3o6bo40b3o6bo40b3o6bo40b3o6bo29bobo8b3o8b2o9b2o\$73b2o11bo8b3o24bo2bo10bo8b3o28bo9bo8b3o26bo11bo8b3o26bo11bo8b3o10bo17b2o8bo11bo8bo2bo\$74bo23bo24b3o22bo24b3o22bo24bo2bo21bo8b3o13b2o23bo8b3o35b3o10b2o\$97b2o48b2o24b3o21b2o8b3o13bo23b2o8b3o13b2o22b2o7bo3bo34bo\$77b2o17bo4bo15b2o8b2o17bo10b3o7b2o8b2o17bo4bo4bo3bo6b2o5bo3bo17bo9bo3bo6b2o8b2o17bo4bo6b2o7b2o3bo\$77bobo16bo4bo5b3o6bobo8bobo16b2ob3o4bo2bo6bobo8bobo16bo4bo4b2ob2o5bobo7b2obo16b2ob3o8bo5bobo8bobo16bo4bo4b3o7bobo2bo34b2o\$46b2obo29bo13b2obobo2b2o3bo2bo6bobob2o7bo13b2obobo3bo2bo3bo6bobob2o7bo13b2obobo2b2o2bobo8bobob2o7bo13b2obobo3bo3b2o8bobob2o7bo13b2obobo2b2o13bobobo3b2obo28b2o\$46b2ob3o27b2o13bobobobobo2bo9b2obo2bo7b2o13bobo4b3o11b2obo2bo7b2o13bobobobobo12b2obo2bo7b2o13bobo4b3o11b2obo2bo7b2o13bobobobobo12b2obo2b2o5bo\$52bo41bob2o3b2o2bo5bo2bo3bobo23bobo5b2ob2o6bo4bobo23bob2o3b2o11bo3bobo23bobo5b3o8bo4bobo23bob2o3b2o11bo3b2o4bo3bo\$34b2o10b2ob3o15b2o24b2obo2bob2o3bo4bo2bo3bob2o21b2obo6bo5bo2bo3b3ob2o21b2obo2bob2o5b2o4bo3bob2o21b2obo6b2o3b2o6b3ob2o21b2obo2bob2o5b2o4bo3bobobo4bo\$35b2o10bobo17bobo22bo3bob2ob2o5b3o3bo3bo23bo3bob3ob2o4b2o5b2obo23bo3bob2ob2o5bo5bo3bo23bo3bob3ob2o4b2o2bo2b2obo23bo3bob2ob2o5b2o4bo3bobo4b3obo\$34bo12bobo17bo24b2obobo6bo8bo2bobo23b2obobo3bob2o4b2o7bo23b2obobo6bo8bo2bobo23b2obobo3bob2o13bo23b2obobo6bo8bo2bobo11bo\$48bo44bobo2bob3obo8b2obob2o23bobo2b4o6b2o4b2o2b2o23bobo2bob3obo8b2obob2o23bobo2b4o12b2o2b2o23bobo2bob3obo8b2obob4obob3ob2o9bo\$93bob2obo5bo3b2o3bo2bo26bob2obo5bo3b2o2bob2o27bob2obo5bo3b2o3bo2bo26bob2obo5bo3b2o2bob2o27bob2obo5bo3b2o3bo2bo12b2o7bobo\$92b2o2bobobobo5b2o3bobo2b2o22b2o2bo6bo4b2o4b2o2b2o22b2o2bobobobo5b2o3bobo2b2o22b2o2bo6bo4b2o4b2o2b2o22b2o2bobobobo5b2o3bobo2b5obo3b2o9b2o\$94bo6bobo8b6o2bo23bo3b4ob2o7bo3b2o2bo23bo6bobo8b6o2bo23bo3b4ob2o7bo3b2o2bo23bo6bobo8b6o4bob2o6bo\$92b2o4bo2b2o8bo7bo22b2o5bobob2o6bobobo3bo22b2o4bo2b2o8bo7bo22b2o5bobob2o6bobobo3bo22b2o4bo2b2o8bo7b2o2b3o3b4o\$92bo6bob2o2bo5b2o2bob2o23bo9bo8bo4b3o23bo6bob2o2bo5b2o2bob2o23bo9bo8bo4b3o23bo6bob2o2bo5b2o2bob2ob2o3bo7b2o\$93b3o7bo2bob2obo4bo26b3o5bob4ob2obobob2o26b3o7bo2bob2obo4bo26b3o5bob4ob2obobob2o26b3o7bo2bob2obo4bo5bo2bo4bobo2bo\$95bo3bob4ob2obo2b2o4b3o24bo3bo2bobob2obo2bo5b3o24bo3bob4ob2obo2b2o4b3o24bo3bo2bobob2obo2bo5b3o24bo3bob4ob2obo2b2o4b5o3bo5bobo\$95bob5o3bo3bo5bob2o2bo23bob3obo7bo3bob2obo2bo23bob5o3bo3bo5bob2o2bo23bob3obo7bo3bob2obo2bo23bob5o3bo3bo5bob2o5bo3bobobob2o\$96bo7bo2b2ob6o4b2o24bo8bob2ob3o3b2o2b2o24bo7bo2b2ob6o4b2o24bo8bob2ob3o3b2o2b2o24bo7bo2b2ob6o5b8o2b2o\$21b2o57b2o15bob2ob2obobo2bo3b2o31bob2o4bobo2bo3bobo30bob2ob2obobo2bo3b2o31bob2o4bobo2bo3bobo30bob2ob2obobo2bo3b2o4bo5bo2bo4b2o\$22b2o56bobo13b2obo2bo2bo3bo2b2ob3o28b2obo2b3o4bo2b2o2b2o28b2obo2bo2bo3bo2b2ob3o28b2obo2b3o4bo2b2o2b2o28b2obo2bo2bo3bo2b2ob3o2bob2obo4b3obo\$21bo58bo16bo2bobo2bobobob2o5bo28bo2bobo2bobobob2obo3bo28bo2bobo2bobobob2o5bo28bo2bobo2bobobob2obo3bo28bo2bobo2bobobob2o5bobobob3o5bo2bo\$97bob2o6b2obo3b2obo2bo26bob2o4bob2obo5b2o2bo26bob2o6b2obo3b2obo2bo26bob2o4bob2obo5b2o2bo26bob2o6b2obo3b2obobo3bo3b2o5b2o17bo\$96b2o3b2ob2o4bob2o3bob2o25b2o3bo8bob2obobob2o25b2o3b2ob2o4bob2o3bob2o25b2o3bo8bob2obobob2o25b2o3b2ob2o4bob2o3bobob2o7bo20bobo\$95bo2b2o3bob4obobo2b2o2bo25bo2b2obo3b4obobo6bo25bo2b2o3bob4obobo2b2o2bo25bo2b2obo3b4obobo6bo25bo2b2o3bob4obobo2b2o3bo2b3o3b3o20b2o\$96bobo4b2o3bobobo6bobo24bobo3b4o2bobobob2o3bobo24bobo4b2o3bobobo6bobo24bobo3b4o2bobobob2o3bobo24bobo4b2o3bobobo8bobob4obobo\$95b2o2b3o2bo2bo2bob2o6b2o23b2o2b2o3bo2bo2bobo2bo4b2o23b2o2b3o2bo2bo2bob2o6b2o23b2o2b2o3bo2bo2bobo2bo4b2o23b2o2b3o2bo2bo2bob2o6b2o2bobob2ob2o\$97bobo2bobo3b2obo2b3o30bobo4bo3b2obo3bo31bobo2bobo3b2obo2b3o30bobo4bo3b2obo3bo31bobo2bobo3b2obo2b3o6bo4bo4b2o\$97bobo2bo8bo2bo32bobobobo7bobobo31bobo2bo8bo2bo32bobobobo7bobobo31bobo2bo8bo2bo5b3o5b4o3bo\$96b2ob2o10bobob2o29b2ob2o2bo7bobo32b2ob2o10bobob2o29b2ob2o2bo7bobo32b2ob2o10bobob2o2bo3b4o4bob2o\$103b2o7b2o39b2o7b2ob2o36b2o7b2o39b2o7b2ob2o36b2o7b2o6bobo7bo2bo\$104bo10b2o37bo9bo39bo10b2o37bo9bo39bo10b2o2b2ob4ob2obobo2bo\$8b2o83b2o8bo8b2obo37bo8b2o39bo8b2obo37bo8b2o40bobo5b2obo6bobo3bobo2b3o\$9b2o82bobo7b2o8bob2o36b2o8bob2o36b2o8bob2o36b2o8bob2o38bobo5bob2o5bobo2bo2bo\$8bo84bo17bobobo45bobo47bobobo45bobo42bobo2bobobo7bo6bobob2o\$109b3o4bo42b3obo2bo42b3o4bo42b3obo2bo41b4o4bo4bobobo2bobob2obo30bo\$108bo3bobo2bo40bo3bobo2bo40bo3bobo2bo40bo3bobo2bo39bo4bobo2bob3obob2obobo33bobo\$109b2obob2ob3o39b2obob2ob3o39b2obob2ob3o39b2obob2ob3o38b3obob2ob2o4bo4bobo34b2o\$111bobob2o3bo40bobob2o3bo40bobob2o3bo40bobob2o3bo39b2obob2o3b2ob3o3bo\$111bobo4b2o41bobo4b2o41bobo4b2o41bobo4b2o43bo4b2obo5bobobo\$110b2obo2b2o42b2obo2b2o42b2obo2b2o42b2obo2b2o45bo2b2o4b2obobob2obo\$114bo2bo46bo2bo46bo2bo46bo2bo46bo2bob2obo4b2o3bo\$109bob2obobo42bob2obobo42bob2obobo42bob2obobo45bobobo2bo2bobobo3b2o\$109b2obob2o43b2obob2o43b2obob2o43b2obob2o45bobobo3bob2obobob2o\$311bo2bo5bo2b3obo2bobo\$106b2o204b2o7bo5bobob2o\$106bobo213b4obobo\$106bo216bobobo2b3o\$321bo5bo4bo46bo\$321b6o50bobo\$378b2o\$323bob2o\$323b2obo!`

p4 oscillators might be helpful here. There was some previous discussion of a potential p52 gun starting here.

More immediately, these new converters should allow us to simplify the true-period p54 and p55 guns. Here is the p55 gun:
`x = 189, y = 167, rule = B3/S2365b2o\$64bo2bo\$59b2o2bob2obo\$59bo3bo4bo\$60b3obobob2o\$62bobobo2bo\$63bo3b2o\$63b2obo\$53b2o7b2ob4o2b2o\$53bobo6bo6bo2bo\$54b4o5b3o2b2obo\$56bo13bob3o\$60b2o8bo4bo\$55bobo2b2o7b2ob2ob3o\$55b2o11bo2b2obo3bo\$63bo3b3o6bo2bo\$62bobo2b3o5b3obo63b2o\$58b2o2b2o3b2o2bo2bo4bobo60bo2bo\$58b2o8bob2o2b5ob2o59bob2obo2b2o\$68bo3bobobobo62bobo2bo3bo\$70b2o2bobobo61b2o3bob3o\$65bo5bobobobo62bo2bobobo\$66bo4bobo2bo64b3o3bo\$64b3o5b2o7bo\$79b3o55b2o2b4o2bo7b2o\$78bo58bo2bo6bo8bo\$78b2o58bob2o3b2o5bo2bo\$135b3obo5bo6b2o\$134bo4bo8b2o3bo\$132b3ob2ob2o7b2o4bo\$51b2o78bo3bob2o3bo10b2o\$50bobo12b2o63bo2bo5bo6bo\$52bo12bo64bob3o4bo3bobobo\$66b3o59bobo4bo2bo7b2o2b2o\$68bo59b2obobobob3obo8b2o\$78bo52bo3bobo\$79b2o50bobobo2b2o\$78b2o52bobobobo\$133bo2bobo\$128bo7b2o\$128b3o\$131bo20b2o\$130b2o19b2o\$138bobo12bo\$37b2o99b2o\$38b2o99bo\$37bo\$143b2o\$144bo\$93bo47b3o\$91bobo47bo\$92b2o4\$165b3o\$125bo39bo\$124bo41bo\$23b3o98b3o\$25bo\$24bo\$184b2o\$184bo\$105bobo78bo\$106b2o58b2o14b5o\$106bo60bo13bo\$3b2o96b2o64bobo12b3o\$4bo96bobo64b2o4bo10bo\$2bo100bo70b2obo4b4o\$2b5o14b2o80b2o68bo4bo3bo3b2o\$7bo13bo90bo65bo4b3o2bo\$4b3o12bobo79b4o5b2o65bo7bob2o\$3bo9b3o3b2o80bo2bo6b2o72bo\$3b4o6b2obo85bo14b2obo63b2o\$b2o3bo5bo3bo82b3o15b2ob3o\$o2b3o7b3o83bo23bo\$2obo9b3o101b2ob3o53b2o\$3bo114bobo55bo\$3b2o104bo8bobo56b3o\$108bobo8bo59bo\$107bo\$11b2o94bo2bo49b2o\$12bo93b2obo7b2o40bobo\$9b3o93b3o8bo2bo41bo\$9bo15b2o79b2ob2o5bobo2bo2bo\$25bobo78bo2b2o4b2obob5o\$25bo81b3o3bo3b2o\$108bo7b2o2b3o\$96b2o14bo3bobo2bobo\$97bo18b2o2b2obo\$97bobo13bo3b2o3bo\$98b2o15b2obob2o\$116bobobo\$116bobobobo\$117bobobobo\$119bobobo22b2o\$118b2obob2o22b2o\$116bo3b2o3bo20bo\$39b2o78b2o2b2obo\$38b2o66b2o7bo3bobo2bobo\$40bo67b2o9b2o2b3o\$102b2o5bo6bo3b2o\$101bo7bo8b2obob5o\$101bo6bo10bobo2bo2bo\$101bo3b2o12bo2bo\$120b2o2\$90b2o35bo\$89bo2bo32b3o\$84bo2bo2bobo31bo7b3o\$84b5obob2o30b2o8bo\$90bo3bo38bo\$52b3o31b2obo4bo24bobo\$52bo32bo3b2o3bo16b2o7b2o\$53bo31bobobo4bo6b2o8bo8bo\$86bo3bo3bo6bobo5bobo\$87b2obob2o7bo7b2o\$88bobobo12bo8b2o\$86bobobobo13bo6bobo5b2o\$85bobobobo10b2o2bo6bo7b2o\$85bobobo13b3o6b2o\$84b2obob2o13bo\$83bo3bo3bo34bo\$82bobobo4bo30b2obobo\$82bo3b2o3bo29bobobobo\$67bo15b2obo4bo26bo2bobobobob2o\$66b2o19bo3bo26b4ob2o2bo2bo\$66bobo12b5obob2o31bo4b2o\$81bo2bo2bobo18b2o10bobo\$86bo2bo18b2o10b2o\$87b2o\$94bo\$81bo10b2o23b2o\$81b3o9b2o21bo2bo\$84bo31bobo2bo2bo\$83b2o30b2obob5o\$106b2o7bo2bo\$116bo2b4o\$96b2o8b2o7bo2b2o3bo\$80b2o15bo18bo2b3obo\$80bobo14bobo7bobo5bo2bo3bo\$80bo17b2o8bo6b2obob2o\$93b2o13bo7bobobo\$86b2o5bobo20bobobobo\$86bobo6bo21bobobobo\$88bo6b2o22bobobo\$86bo21bo9b2obob2o\$82bo24bobo8bo2bo3bo\$81bobobo23bo9bo2b3obo\$81bob4o18bo2b2o8bo2b2o3bo\$78b2obobo3bo2bo13bo6bob2o4bo2b4o\$78bo2bo2b2ob4o9bo4bobobobob2o3bo2bo\$80b2o4bo11bo4bo2bob2o3bo4b2obob5o\$86bobo8bo5bo4bo3bo6bobo2bo2bo\$87b2o14bo5bobo7bo2bo\$98bo2bo18b2o\$99b3o7\$97b2o\$98bo24bo\$95b3o26bo\$95bo26b3o!`

The first two 2G-to-H converters work at p54. I'm not sure which one would be best to use. The p54 construction is likely more difficult, so I'm not going to do it.

Posted: April 3rd, 2018, 8:12 am
Hmm... in that p52 construction, would it be possible to avoid needing a 3G->4G reaction by replacing the eater 2 with some welded object that can also eat those first natural gliders?

Posted: April 3rd, 2018, 8:36 am
77topaz wrote:Hmm... in that p52 construction, would it be possible to avoid needing a 3G->4G reaction by replacing the eater 2 with some welded object that can also eat those first natural gliders?

Unfortunately not -- or at least, I think the welded object would have to be something unlikely like an eater2 plus p13/p26/p52 oscillator with a nice spark. (And I haven't checked to see if p13 and p26 would really work anyway).

Look at the incoming gliders at the time that they suppress the FNGs -- the location is so close to the Herschel's reaction envelope that nothing stable can be placed there without interacting. The mechanism has to reach in there somehow and remove the FNG very early on, and then get back out of the way.