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Thread For Your Accidental Discoveries

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

Re: Thread For Your Accidental Discoveries

Postby gmc_nxtman » July 3rd, 2017, 1:02 am

Kazyan wrote:Component found in a CatForce result:

x = 42, y = 67, rule = LifeHistory
A$.2A$2A5$7.A$8.2A$7.2A19$24.2A$24.2A2$39.A$37.A3.A$36.A$36.A4.A$36.
5A$14.2A.2D$13.A.AD.D$13.A$12.2A25$5.3A$7.A$6.A!


That can be done with 4 gliders, although it's still interesting that it was found accidentally:

x = 21, y = 30, rule = B3/S23
10b2o$11bo$11bobo$12b2o14$10bo4bo$10b2ob2o$9bobo2b2o8$2o17bo$b2o15b2o$
o17bobo!


What were you looking for, exactly? A MWSS-to-herschel converter?
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Re: Thread For Your Accidental Discoveries

Postby Kazyan » July 3rd, 2017, 2:27 am

gmc_nxtman wrote:What were you looking for, exactly? A MWSS-to-herschel converter?


I'd settle for any signal, but yes. The current Orthogonoids have geometry challenges that pad their size, and the limiting factor in their repeat time is the syringe. Repeat time is more important for single-channel operations than probably any other constructor design, so I'm trying to give that fire some better fuel.
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Re: Thread For Your Accidental Discoveries

Postby mniemiec » July 7th, 2017, 2:18 pm

gmc_nxtman wrote:4-glider trans-boat with tail edgeshoot: ...

Even though was already buildable from 4 gliders, this method improves syntheses of one still-life and 18 pseudo-objects.
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Re: Thread For Your Accidental Discoveries

Postby Kazyan » July 10th, 2017, 6:58 pm

Potential component spotted in a failed eating reaction:

x = 21, y = 17, rule = B3/S23
o$3o$3bo$2b2o2$6bo$5bobo2$5b3o$19bo$8bo9bo$18b3o3$15bo$14b2o$14bobo!
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Re: Thread For Your Accidental Discoveries

Postby gmc_nxtman » July 19th, 2017, 4:02 pm

Unusual still life in 8 gliders:

x = 18, y = 26, rule = B3/S23
11bo$10bobo$10b2o2$10bo$9b2o$9bobo5$obo$b2o$bo2$3b2o$4b2o$3bo$9bo$9b2o
$8bobo2$15b3o$7b2o6bo$6bobo7bo$8bo!


EDIT: This also gives 21.41458 in 9 gliders.
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Re: Thread For Your Accidental Discoveries

Postby Kazyan » July 30th, 2017, 3:11 pm

Potentially grow out a BTS into a structure like a snorkel loop:

x = 15, y = 25, rule = B3/S23
2b2obo$3bob3o$bobo4bo$ob2ob2obo$o4bobo$b3obo$3bob2o3$10b3o2$8bo5bo$8bo
5bo$8bo5bo2$10b3o6$11b2o$10bo2bo$11b2o$11bo!


I suspect that the drifter catalyst and its variants also have odd transformations, since both objects are robust.
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Re: Thread For Your Accidental Discoveries

Postby gmc_nxtman » August 19th, 2017, 1:28 pm

Haven't seen a component quite like this before:

x = 27, y = 18, rule = B3/S23
20bobo$20b2o$21bo7$15bo$15bobo$15b2o2$3o9bobo$b3o9b2o$13bo10b3o$24bo$
25bo!


EDIT: Better version:

x = 15, y = 11, rule = B3/S23
13bo$12bo$12b3o3$7bo$6bobo$6bobo2b2o$7bo2b2o$3o9bo$b3o!
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Re: Thread For Your Accidental Discoveries

Postby Gamedziner » August 28th, 2017, 8:00 pm

p8 c/2 derived from blinker puffer 1:
2bo$o3bo$5bo$o4bo$b5o5$b2o2b2o$bob2ob2o$2b5o$3b3o$4bo$2bo3bo$7bo$2bo4bo$3b5o!
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Re: Thread For Your Accidental Discoveries

Postby mniemiec » August 29th, 2017, 12:35 am

Gamedziner wrote:p8 c/2 derived from blinker puffer 1: ...

This is known. It can be easily synthesized from 10 gliders:
x = 88, y = 26, rule = B3/S23
34bobo$35boo$35bo3$45bo$bo44boo$bbo42boo$3o$20boo18boo6bo$bbo17bobo17b
obo4bo$boo18bo19bo5b3o$bobo$$43boo$44boo7b3o22bo4b3o$31b3o9bo9bobbo20b
3o3bobbo$33bo19bo16b3o3boobo3bo$32bo20bo3bo12bobbobb3o4bo3bo$53bo16bo
6boo4bo$54bobo13bo3bo3bo5bobo$70bo$71bobo$77bo$78bo$77bo!
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Re: Thread For Your Accidental Discoveries

Postby gameoflifemaniac » August 29th, 2017, 4:23 pm

x = 17, y = 17, rule = B3/S23
8bo$7bobo$4bo2bobo2bo$3bobobobobobo$2bo2bobobobo2bo$3b2o2bobo2b2o$7bob
o$b6o3b6o$o15bo$b6o3b6o$7bobo$3b2o2bobo2b2o$2bo2bobobobo2bo$3bobobobob
obo$4bo2bobo2bo$7bobo$8bo!

x = 17, y = 17, rule = B3/S23
8bo$7bobo$4bo2bobo2bo$3bobobobobobo$2bo2bobobobo2bo$3b2o2bobo2b2o$7bob
o$b6o3b6o$o7bo7bo$b6o3b6o$7bobo$3b2o2bobo2b2o$2bo2bobobobo2bo$3bobobob
obobo$4bo2bobo2bo$7bobo$8bo!
https://www.youtube.com/watch?v=q6EoRBvdVPQ
One big dirty Oro. Yeeeeeeeeee...
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Re: Thread For Your Accidental Discoveries

Postby dvgrn » September 8th, 2017, 5:26 pm

While incompetently welding a tremi-Snark this evening...

x = 23, y = 31, rule = LifeHistory
$3.4B$4.4B$5.4B5.2A$6.4B4.2A$7.9B$8.6B$8.4BA3B$6.7BA2B$6.5B3A2B$6.11B
$4.2AB.10B$4.2AB3.B2A4B$9.2B2A5B$10.8B$10.6B$11.5B$5.2A5.3B$5.A.A3.5B
$7.A2.B2AB2A$7.2A2.2A.AB2.2A$10.B3.A.A2.A$5.10A.2A$5.A$6.12A$17.A$8.
7A$8.A5.A$11.A$10.A.A$11.A!

... I ended up with a p3 that I didn't really want.

Doesn't seem worth keeping it around until people are synthesizing all the 58-bit p3's, but it seemed mildly entertaining anyway.
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Re: Thread For Your Accidental Discoveries

Postby A for awesome » September 8th, 2017, 5:29 pm

dvgrn wrote:
x = 23, y = 31, rule = LifeHistory
$3.4B$4.4B$5.4B5.2A$6.4B4.2A$7.9B$8.6B$8.4BA3B$6.7BA2B$6.5B3A2B$6.11B
$4.2AB.10B$4.2AB3.B2A4B$9.2B2A5B$10.8B$10.6B$11.5B$5.2A5.3B$5.A.A3.5B
$7.A2.B2AB2A$7.2A2.2A.AB2.2A$10.B3.A.A2.A$5.10A.2A$5.A$6.12A$17.A$8.
7A$8.A5.A$11.A$10.A.A$11.A!

Pointless reduction:
x = 17, y = 25, rule = LifeHistory
4B$.4B$2.4B5.2A$3.4B4.2A$4.9B$5.6B$5.4BA3B$3.7BA2B$3.5B3A2B$3.11B$.2A
B.10B$.2AB3.B2A4B$6.2B2A5B$7.8B$7.6B$8.5B$9.3B$8.5B$7.B2AB2A$4.2A2.2A
.AB2.2A$4.A2.B3.A.A2.A$5.7A.3A2$7.2A.4A$7.2A.A2.A!
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

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Re: Thread For Your Accidental Discoveries

Postby gmc_nxtman » September 9th, 2017, 5:03 pm

Can someone salvage this? (Look at T≈20)

x = 16, y = 12, rule = B3/S23
bo$2bo$3o7$3b2o5b2o2b2o$4b2o3bobob2o$3bo7bo3bo!
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Re: Thread For Your Accidental Discoveries

Postby BlinkerSpawn » September 9th, 2017, 7:16 pm

gmc_nxtman wrote:Can someone salvage this? (Look at T≈20)

x = 16, y = 12, rule = B3/S23
bo$2bo$3o7$3b2o5b2o2b2o$4b2o3bobob2o$3bo7bo3bo!

The red pattern inserted at gen 16 would do it:
x = 17, y = 14, rule = LifeHistory
13.D$11.2D$.A14.D$2.A8.5D$3A7$3.2A5.2A2.2A$4.2A3.A.A.2A$3.A7.A3.A!
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Re: Thread For Your Accidental Discoveries

Postby AbhpzTa » September 10th, 2017, 11:34 am

gmc_nxtman wrote:Can someone salvage this? (Look at T≈20)

x = 16, y = 12, rule = B3/S23
bo$2bo$3o7$3b2o5b2o2b2o$4b2o3bobob2o$3bo7bo3bo!

x = 27, y = 19, rule = B3/S23
16bo$4bo9b2o$5bo9b2o$3b3o$22bo$20b2o$21b2o$bo$2bo$3o2$25b2o$24b2o$26bo
3$3b2o5b2o2b2o$4b2o3bobob2o$3bo7bo3bo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: Thread For Your Accidental Discoveries

Postby gmc_nxtman » September 13th, 2017, 7:32 pm

Reduced an old synthesis from eleven (I think) down to eight gliders:

x = 34, y = 34, rule = B3/S23
10bo$bobo7bo19bobo$2b2o5b3o19b2o$2bo29bo3$32bo$30b2o$31b2o3$12bo$12bob
o$12b2o11$14b2o$14bobo$14bo12b2o$27bobo$27bo3$b2o$obo$2bo!
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