Reducible Oscillators

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BlinkerSpawn
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Reducible Oscillators

Post by BlinkerSpawn » November 23rd, 2016, 9:52 am

In the event that certain oscillators have smaller usable forms on the wiki than the official ones they can go here.
I'll start by noting that Blocked p4-3 and Blocked p4 t-nose have smaller forms than those presented:

Code: Select all

x = 53, y = 11, rule = B3/S23
39b3o2$38bo3bo$4bo3bobobo3bo15bo3bo7bo3bo$3bobo9bobo13bobo13bobo$3bobo
9bobo13bobo13bobo$2obobob7obobob2o7b2obobob11obobob2o$2obo13bob2o7b2ob
o17bob2o$3bo13bo13bo17bo$3bobo9bobo13bobo4b2ob2o4bobo$4b2o3b3o3b2o15b
2o4b2ob2o4b2o!
Blocked p4-3 sees a 1-cell reduction, Blocked p4 t-nose sees a 3-cell reduction and a bounding box reduced to 25x12.
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drc
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Re: Reducible Oscillators

Post by drc » November 23rd, 2016, 2:56 pm

The RLE for Blocked p4-1 is the old form:

Code: Select all

#N Blocked p4-1
#O Adam P. Goucher
#C A period 4 oscillator.
#C www.conwaylife.com/wiki/Blocked_p4-1
x = 23, y = 14, rule = b3/s23
11bo11b$4bo3bo5bo3bo4b$3bobo11bobo3b$3bobo11bobo3b$2obobob9obobob2o$2o
bo15bob2o$3bo15bo3b$3bobo4bobo4bobo3b$4bobob3ob3obobo4b$2bobob2o7b2obo
bo2b$2b2o5b2ob2o5b2o2b$10bobo10b$10bobo10b$11bo!
Jason's p36 can be reduced in cell count, but increases in bounding box:

Code: Select all

x = 39, y = 22, rule = B3/S23
24bo$24bo$24bo$2o22b2o$bo25bo$bobo19bo4bo$2b2o24bo$13b3o8b3o$13bo$13bo
bo$14b2o$23b2o$23bobo$25bo$12b3o8b3o$10bo24b2o$10bo4bo19bobo$11bo25bo$
13b2o22b2o$14bo$14bo$14bo!
\100\97\110\105

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BlinkerSpawn
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Re: Reducible Oscillators

Post by BlinkerSpawn » November 23rd, 2016, 6:07 pm

Also, while this technically may not be considered a reduction, 29P9's bounding box of 10x10 can be changed to 9x11 in two different ways:

Code: Select all

x = 27, y = 20, rule = B3/S23
17b2o$18bo$18bob2o$17b2obobo$23bo$b2o18b3o$2bo13b2o6b2o$2bob2o10bo2bob
3o2bo$b2obobo11b2obo3b2o$7bo$5b3o$2o6b2o7b2o$o2bob2obo9bo$2b2obo2bo9bo
b2o$6b2o9b2obobo2b2o$23bo2bo$21b3obo$16b2o6bo$16bo2bob3o$18b2obo!
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Gamedziner
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Re: Reducible Oscillators

Post by Gamedziner » November 23rd, 2016, 7:42 pm

BlinkerSpawn wrote:Also, while this technically may not be considered a reduction, 29P9's bounding box of 10x10 can be changed to 9x11 in two different ways:

Code: Select all

x = 27, y = 20, rule = B3/S23
17b2o$18bo$18bob2o$17b2obobo$23bo$b2o18b3o$2bo13b2o6b2o$2bob2o10bo2bob
3o2bo$b2obobo11b2obo3b2o$7bo$5b3o$2o6b2o7b2o$o2bob2obo9bo$2b2obo2bo9bo
b2o$6b2o9b2obobo2b2o$23bo2bo$21b3obo$16b2o6bo$16bo2bob3o$18b2obo!
10*10=100
9*11=99
In terms of bounding box, I'd think that the 9*11 is a slight reduction.

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

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BlinkerSpawn
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Re: Reducible Oscillators

Post by BlinkerSpawn » November 24th, 2016, 8:32 am

Gamedziner wrote:
BlinkerSpawn wrote:Also, while this technically may not be considered a reduction, 29P9's bounding box of 10x10 can be changed to 9x11 in two different ways:

Code: Select all

rle
10*10=100
9*11=99
In terms of bounding box, I'd think that the 9*11 is a slight reduction.
Well, then here's two 12x8 variants:

Code: Select all

x = 12, y = 19, rule = B3/S23
2o$o2bob2o$2b2obobo$8bo$6b3o$b2o6b2o$bo2bob3o2bo$3b2obo3b2o4$2o$o2bob
2o$2b2obobo2b2o$8bo2bo$6b3obo$b2o6bo$bo2bob3o$3b2obo!
11x8, higher population:

Code: Select all

x = 24, y = 8, rule = B3/S23
2o5b2o4b2o5bo$o2b2obobo4bo2b2obobo$b2obobo7b2obobo2bo$7bo12bobo$5b3o
10b3ob2o$2o6b2o3b2o6bo$o2bob3o2bo2bo2bob2obo$2b2obo3b2o4b2obobo!
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drc
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Re: Reducible Oscillators

Post by drc » November 24th, 2016, 12:37 pm

I think this should be in the pattern section. I can see why it would be put in the website section, but it's more about the patterns...

Edit: 258P3 on Achim's p11's rle says "158P3" also it can be replaced with the 246P3.
\100\97\110\105

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