Thread for your syntheses from non-standard objects to create syntheses from

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MathAndCode
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Thread for your syntheses from non-standard objects to create syntheses from

Post by MathAndCode » December 9th, 2020, 9:09 pm

Here are examples with blocks:
Two blocks can create a honeyfarm.

Code: Select all

x = 5, y = 3, rule = Conway's Life
2o$2ob2o$3b2o!
Three blocks can create a century sequence.

Code: Select all

x = 5, y = 6, rule = Conway's Life
3b2o$2ob2o$2o2$2b2o$2b2o!
An R-sequence also requires only three blocks.

Code: Select all

x = 8, y = 4, rule = Conway's Life
6b2o$2o4b2o$2ob2o$3b2o!
For a while, my best method of generating a glider was a five-block method based off of the Snark.

Code: Select all

x = 12, y = 15, rule = Conway's Life
10b2o$10b2o4$2o$2o$9b2o$6b2ob2o$6b2o4$10b2o$10b2o!
However, I recently found a three-block synthesis.

Code: Select all

x = 6, y = 7, rule = Conway's Life
2o$2o2$b2o$b2o$4b2o$4b2o!
What are the cheapest block-based syntheses for other objects?



For blinkers, an R-sequence, a thunderbird sequence, a teardrop, and a blockade each require two blinkers.

Code: Select all

x = 5, y = 3, rule = Conway's Life
o$o$ob3o!

Code: Select all

x = 5, y = 3, rule = Conway's Life
o$ob3o$o!

Code: Select all

x = 5, y = 4, rule = Conway's Life
o$o$o$2b3o!

Code: Select all

x = 3, y = 4, rule = Conway's Life
o$obo$obo$2bo!


Two buns can make a glider or a wing sequence.

Code: Select all

x = 6, y = 8, rule = Conway's Life
3b2o$2bo2bo$3b3o2$bo$obo$obo$2o!

Code: Select all

x = 8, y = 5, rule = Conway's Life
b2o$o2bo2bo$b3obobo$5bobo$5b2o!
Three buns can make an R-sequence.

Code: Select all

x = 7, y = 12, rule = Conway's Life
2b2o$bo2bo$2b3o3$5bo$4bobo$4bobo$4b2o$b2o$o2bo$b3o!
What other bun syntheses are possible?
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

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bubblegum
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Re: Thread for your syntheses from non-standard objects to create syntheses from

Post by bubblegum » December 9th, 2020, 9:25 pm

Buns can synthesise anything glider-constructible given a target block from the wing and gliders to create a slow salvo from.
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MathAndCode
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Re: Thread for your syntheses from non-standard objects to create syntheses from

Post by MathAndCode » December 9th, 2020, 9:34 pm

bubblegum wrote:
December 9th, 2020, 9:25 pm
Buns can synthesise anything glider-constructible given a target block from the wing and gliders to create a slow salvo from.
Is there a more efficient way to synthesize an arbitrary object (say…a snacker) with buns?
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

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ColorfulGalaxy
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Re: Thread for your syntheses from non-standard objects to create syntheses from

Post by ColorfulGalaxy » January 4th, 2021, 12:56 am

MathAndCode wrote:
December 9th, 2020, 9:09 pm
Here are examples with blocks:
Two blocks can create a honeyfarm.

Code: Select all

x = 5, y = 3, rule = Conway's Life
2o$2ob2o$3b2o!
Three blocks can create a century sequence.

Code: Select all

x = 5, y = 6, rule = Conway's Life
3b2o$2ob2o$2o2$2b2o$2b2o!
An R-sequence also requires only three blocks.

Code: Select all

x = 8, y = 4, rule = Conway's Life
6b2o$2o4b2o$2ob2o$3b2o!
For a while, my best method of generating a glider was a five-block method based off of the Snark.

Code: Select all

x = 12, y = 15, rule = Conway's Life
10b2o$10b2o4$2o$2o$9b2o$6b2ob2o$6b2o4$10b2o$10b2o!
However, I recently found a three-block synthesis.

Code: Select all

x = 6, y = 7, rule = Conway's Life
2o$2o2$b2o$b2o$4b2o$4b2o!
What are the cheapest block-based syntheses for other objects?



For blinkers, an R-sequence, a thunderbird sequence, a teardrop, and a blockade each require two blinkers.

Code: Select all

x = 5, y = 3, rule = Conway's Life
o$o$ob3o!

Code: Select all

x = 5, y = 3, rule = Conway's Life
o$ob3o$o!

Code: Select all

x = 5, y = 4, rule = Conway's Life
o$o$o$2b3o!

Code: Select all

x = 3, y = 4, rule = Conway's Life
o$obo$obo$2bo!


Two buns can make a glider or a wing sequence.

Code: Select all

x = 6, y = 8, rule = Conway's Life
3b2o$2bo2bo$3b3o2$bo$obo$obo$2o!

Code: Select all

x = 8, y = 5, rule = Conway's Life
b2o$o2bo2bo$b3obobo$5bobo$5b2o!
Three buns can make an R-sequence.

Code: Select all

x = 7, y = 12, rule = Conway's Life
2b2o$bo2bo$2b3o3$5bo$4bobo$4bobo$4b2o$b2o$o2bo$b3o!
What other bun syntheses are possible?
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ColorfulGabrielsp138
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Re: Thread for your syntheses from non-standard objects to create syntheses from

Post by ColorfulGabrielsp138 » May 1st, 2021, 5:22 am

MathAndCode wrote:
December 9th, 2020, 9:34 pm
bubblegum wrote:
December 9th, 2020, 9:25 pm
Buns can synthesise anything glider-constructible given a target block from the wing and gliders to create a slow salvo from.
Is there a more efficient way to synthesize an arbitrary object (say…a snacker) with buns?
Glider from three beehives, from Dean Hickerson's Life Digits census:

Code: Select all

x = 16, y = 11, rule = LifeHistory
8.B3.2B$6.A8B$4.BABA7B$3.2BABA7B$.5BA9B$9B2A4B$.4BA2BA2BA4B$3.BABA2B2A
5B$4.ABA9B$5.A8B$10.3B!
EDIT: It says there are five posts here but only four are shown. Also, some pages contain less posts than expected.

Code: Select all

x = 21, y = 21, rule = LifeColorful
11.E$10.3E$10.E.2E$13.E4$2.2B$.2B$2B$.2B15.2D$19.2D$18.2D$17.2D4$7.C$
7.2C.C$8.3C$9.C!
I'm free at last

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EvinZL
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Re: Thread for your syntheses from non-standard objects to create syntheses from

Post by EvinZL » May 27th, 2021, 10:44 am

Four-block pi:

Code: Select all

x = 8, y = 12, rule = LifeHistory
4.2A$4.2A4$2A$2A.2A$3.2A3$6.2A$6.2A!
Beehive in 3:

Code: Select all

x = 5, y = 9, rule = LifeHistory
2A$2A.2A$3.2A5$2A$2A!

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Re: Thread for your syntheses from non-standard objects to create syntheses from

Post by Entity Valkyrie 2 » May 29th, 2021, 2:53 am

Another 4-block pi:

Code: Select all

x = 7, y = 12, rule = B3/S23
5b2o$5b2o5$5b2o$2b2ob2o$2b2o2$2o$2o!
I couldn't find a 3-block pi.
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yujh
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Re: Thread for your syntheses from non-standard objects to create syntheses from

Post by yujh » May 29th, 2021, 4:07 am

Alternative bh in 3

Code: Select all

x = 7, y = 5, rule = B3/S23
b2o$b2o2b2o$5b2o$2o$2o!

ColorfulGabrielsp138
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Re: Thread for your syntheses from non-standard objects to create syntheses from

Post by ColorfulGabrielsp138 » June 18th, 2021, 3:31 am

The "lone dot" glider, found by wwei23

Code: Select all

x = 6, y = 7, rule = B3/S23
2bobo2$bobo2$obobo2$bobobo!

Code: Select all

x = 21, y = 21, rule = LifeColorful
11.E$10.3E$10.E.2E$13.E4$2.2B$.2B$2B$.2B15.2D$19.2D$18.2D$17.2D4$7.C$
7.2C.C$8.3C$9.C!
I'm free at last

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