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One Bit Difference

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

One Bit Difference

Postby knightlife » October 6th, 2009, 9:55 am

This contrived pattern showcases how a single bit makes a big difference.

Spacehip predecessor:
x = 68, y = 24, rule = B3/S23
7bo39bo$6bob3o35bob3o$5b2obo36b2obo$7bo39bo$6bobo39bo$7bobo37bobo$6bob
3o35bob3o$4b4ob2o33b4ob2o$3bo3bobobo31bo3bobobo$4bo2b2o2bo32bo2b2o2bo$
5b3o3bo33b3o3bo$5b2o3bo34b2o3bo$3b2o2bo2bobo30b2o2bo2bobo$3b2o2b3ob2o
30b2o2b3ob2o$2bo2b2obo33bo2b2obo$3o2bobo32b3o2bobo$o2b3o2bo5b2o4b2o4b
2o12bo2b3o2bo5b2o4b2o4b2o$o13bo5bo6bo12bo13bo5bo6bo$2o13bo5bo4bo13b2o
13bo5bo4bo$bo14bo3b2o3bo15bo14bo3b2o3bo$2b2o13bobob2o2b2o15b2o13bobob
2o2b2o$3b6o4bo2b4ob6o16b6o4bo2b4ob6o$5bo3b8obobo2bo2bo18bo3b8obobo2bo
2bo$14bo11b2o26bo11b2o!


Different spaceships, different directions!
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Re: One Bit Difference

Postby Sokwe » October 7th, 2009, 12:54 am

Nice, although you didn't need all of those cells connecting the blocks.

x = 68, y = 23, rule = B3/S23
7bo39bo$6bob3o35bob3o$5b2obo36b2obo$7bo39bo$6bobo39bo$7bobo37bobo$6bob
3o35bob3o$4b4ob2o33b4ob2o$3bo3bobobo31bo3bobobo$4bo2b2o2bo32bo2b2o2bo$
5b3o3bo33b3o3bo$5b2o3bo34b2o3bo$3b2o2bo2bobo30b2o2bo2bobo$3b2o2b3ob2o
30b2o2b3ob2o$2bo2b2obo33bo2b2obo$3o2bobo32b3o2bobo$o2b3o2bo5b2o4b2o4b
2o12bo2b3o2bo5b2o4b2o4b2o$o13bo5bo5bo13bo13bo5bo5bo$2o38b2o$bo39bo$2b
2o38b2o$3b6o34b6o$5bo3bo35bo3bo!


How did you find it?

P.S.
Another spaceship predecessor, although not nearly so interesting:

x = 9, y = 9, rule = B3/S23
6ob2o$6ob2o$7b2o$2o5b2o$2o5b2o$2o5b2o$2o$2ob6o$9o!


One cell difference: Kok's galaxy or lightweight spaceship (this is obviously a much more trivial case)
-Matthias Merzenich
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Re: One Bit Difference

Postby knightlife » October 7th, 2009, 7:11 am

Sokwe wrote:Nice, although you didn't need all of those cells connecting the blocks.


I forgot to mention my goal was to create a single connected object with no induction gaps or pseudo objects. I was hoping to make it a single blob but resorted to the blocks to finish the LWSS cleanup. Connecting the blocks was easy but necessary to reach my goal of a single polyplet object.

I found this when trying to clean up another dual spaceship reaction where the debris would swallow up the MWSS. But I came across the single bit that produced a completely new LWSS while destrying the MWSS. From there I wondered if I could do dual cleanup jobs with one object. I came close to the goal but then had to add the blocks.

I think this is the closest I came before adding the blocks:
x = 41, y = 15, rule = B3/S23
4bobo29bo$5bobo27bobo$4bob3o25bob3o$2b4ob2o23b4ob2o$bo3bobobo21bo3bobo
bo$2bo2b2o2bo22bo2b2o2bo$3b3o3bo23b3o3bo$3b2o3bo24b2o3bo$b2o2bo2bobo
20b2o2bo2bobo$b2o2b3ob2o20b2o2b3ob2o$o2b2obo23bo2b2obo$o2bobo24bo2bobo
$b3o2bo24b3o2bo$3bo2b2o25bo2b2o$3b3o27b3o!


It is easy to clean up one mess but nearly impossible to clean up two messes!
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Re: One Bit Difference

Postby knightlife » October 7th, 2009, 8:55 am

Here is a one=bit glider:
x = 36, y = 11, rule = B3/S23
3b3o27b3o$2b2obo26b2obo$2bo2bo26bo2bo$bo3bo25bo3bo$bo3bo25bo3bo$3ob2o
24b3ob2o$2bo2bo26b2obo$2bobo27bobo$2bobo27bobo$bo3bo25bo3bo$b2ob2o25b
2ob2o!


Unusual since a cell in the center normally ruins everything. :shock:

ship to fleet:
x = 4, y = 4, rule = B3/S23
2b2o$bobo$b2o$o!


Spaceship predecessors, LWSS to MWSS and MWSS to HWSS:
x = 30, y = 35, rule = B3/S23
o19bo7bo$bo5bo13bo5bo$2bo3bo15bo3bo$3b3o17b3o$6bo19bo26$o19bo8bo$bo6bo
12bo6bo$2bo4bo14bo4bo$3b4o16b4o$7bo19bo!
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Re: One Bit Difference

Postby Extrementhusiast » January 11th, 2010, 7:35 pm

R-loaf gets oriented differently:
OO...
O....
.OOOo


The small o is the removable cell.
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Re: One Bit Difference

Postby calcyman » January 21st, 2010, 1:05 pm

This is the most remarkable one-cell-difference pair of patterns I have seen:

x = 82, y = 39, rule = B3/S23
16boo3boo36boo3boo$15bobbobobbo34bobbobobbo$11boo3boo3boo3boo26boo3boo
3boo3boo$11bo15bo26bo15bo$8boobo15boboo20boobo15boboo$7boboboo13boobob
o18boboboo13boobobo$7bobo5b3o3b3o5bobo18bobo5b3o3b3o5bobo$5boobbo5bobo
3bobo5bobboo14boobbo5bobo3bobo5bobboo$4bo4boo4b3o3b3o4boo4bo12bo4boo4b
3o3b3o4boo4bo$4b5o21b5o12b5o21b5o$8bo21bo20bo21bo$bb4o27b4o8b4o27b4o$
bbobbo27bobbo8bobbo27bobbo$$16boo3boo36boo3boo$bo4b3o8bo3bo8b3o4bo6bo
4b3o8bo3bo8b3o4bo$obo3bobo5bo9bo5bobo3bobo4bobo3bobo5bo9bo5bobo3bobo$o
bo3b3o5boo7boo5b3o3bobo4bobo3b3o5boo7boo5b3o3bobo$bo17bo17bo6bo17bo17b
o$18bobo40b3o$bo17bo17bo6bo17bo17bo$obo3b3o5boo7boo5b3o3bobo4bobo3b3o
5boo7boo5b3o3bobo$obo3bobo5bo9bo5bobo3bobo4bobo3bobo5bo9bo5bobo3bobo$b
o4b3o8bo3bo8b3o4bo6bo4b3o8bo3bo8b3o4bo$16boo3boo36boo3boo$$bbobbo27bo
bbo8bobbo27bobbo$bb4o27b4o8b4o27b4o$8bo21bo20bo21bo$4b5o21b5o12b5o21b
5o$4bo4boo4b3o3b3o4boo4bo12bo4boo4b3o3b3o4boo4bo$5boobbo5bobo3bobo5bo
bboo14boobbo5bobo3bobo5bobboo$7bobo5b3o3b3o5bobo18bobo5b3o3b3o5bobo$7b
oboboo13boobobo18boboboo13boobobo$8boobo15boboo20boobo15boboo$11bo15bo
26bo15bo$11boo3boo3boo3boo26boo3boo3boo3boo$15bobbobobbo34bobbobobbo$
16boo3boo36boo3boo!


A single cell in the symmetric centre of the oscillator causes it to change from period 26 to period 29.
What do you do with ill crystallographers? Take them to the mono-clinic!
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