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Smallest block duplicator ever.

Posted: October 17th, 2009, 5:14 pm
by Alegend
Here it is:

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x = 10, y = 10, rule = B3/S23
$8bo$7bo$6bo$5bo$4bo$3bo$b2o$b2o!
Here comes a simlar one:

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x = 18, y = 18, rule = B3/S23
$16bo$15bo$14bo$13bo$12bo$11bo$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo$b2o$b
2o!
And another:

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x = 26, y = 26, rule = B3/S23
$24bo$23bo$22bo$21bo$20bo$19bo$18bo$17bo$16bo$15bo$14bo$13bo$12bo$11bo
$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo$b2o$b2o!

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x = 34, y = 34, rule = B3/S23
$32bo$31bo$30bo$29bo$28bo$27bo$26bo$25bo$24bo$23bo$22bo$21bo$20bo$19bo
$18bo$17bo$16bo$15bo$14bo$13bo$12bo$11bo$10bo$9bo$8bo$7bo$6bo$5bo$4bo$
3bo$b2o$b2o!

Re: Smallest block duplicator ever.

Posted: October 17th, 2009, 5:53 pm
by Sokwe
It generally is not considered a block if it is directly connected to the rest of the pattern. What you've come across is a fuse that leaves a block at one end, and leaves another block if the length of the pattern is divisible by 8. This has the disadvantage that it is difficult to synthesize, and so has few practical uses (at least that I can see). Also, two sparks are sufficient to create four blocks via lumps of muck:

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oo...
.....
..oo.
..oo.
.....
....o