## One Bit Difference

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

### One Bit Difference

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

Spacehip predecessor:
`x = 68, y = 24, rule = B3/S237bo39bo\$6bob3o35bob3o\$5b2obo36b2obo\$7bo39bo\$6bobo39bo\$7bobo37bobo\$6bob3o35bob3o\$4b4ob2o33b4ob2o\$3bo3bobobo31bo3bobobo\$4bo2b2o2bo32bo2b2o2bo\$5b3o3bo33b3o3bo\$5b2o3bo34b2o3bo\$3b2o2bo2bobo30b2o2bo2bobo\$3b2o2b3ob2o30b2o2b3ob2o\$2bo2b2obo33bo2b2obo\$3o2bobo32b3o2bobo\$o2b3o2bo5b2o4b2o4b2o12bo2b3o2bo5b2o4b2o4b2o\$o13bo5bo6bo12bo13bo5bo6bo\$2o13bo5bo4bo13b2o13bo5bo4bo\$bo14bo3b2o3bo15bo14bo3b2o3bo\$2b2o13bobob2o2b2o15b2o13bobob2o2b2o\$3b6o4bo2b4ob6o16b6o4bo2b4ob6o\$5bo3b8obobo2bo2bo18bo3b8obobo2bo2bo\$14bo11b2o26bo11b2o!`

Different spaceships, different directions!
knightlife

Posts: 566
Joined: May 31st, 2009, 12:08 am

### Re: One Bit Difference

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

`x = 68, y = 23, rule = B3/S237bo39bo\$6bob3o35bob3o\$5b2obo36b2obo\$7bo39bo\$6bobo39bo\$7bobo37bobo\$6bob3o35bob3o\$4b4ob2o33b4ob2o\$3bo3bobobo31bo3bobobo\$4bo2b2o2bo32bo2b2o2bo\$5b3o3bo33b3o3bo\$5b2o3bo34b2o3bo\$3b2o2bo2bobo30b2o2bo2bobo\$3b2o2b3ob2o30b2o2b3ob2o\$2bo2b2obo33bo2b2obo\$3o2bobo32b3o2bobo\$o2b3o2bo5b2o4b2o4b2o12bo2b3o2bo5b2o4b2o4b2o\$o13bo5bo5bo13bo13bo5bo5bo\$2o38b2o\$bo39bo\$2b2o38b2o\$3b6o34b6o\$5bo3bo35bo3bo!`

How did you find it?

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

`x = 9, y = 9, rule = B3/S236ob2o\$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
Sokwe
Moderator

Posts: 1458
Joined: July 9th, 2009, 2:44 pm

### Re: One Bit Difference

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/S234bobo29bo\$5bobo27bobo\$4bob3o25bob3o\$2b4ob2o23b4ob2o\$bo3bobobo21bo3bobobo\$2bo2b2o2bo22bo2b2o2bo\$3b3o3bo23b3o3bo\$3b2o3bo24b2o3bo\$b2o2bo2bobo20b2o2bo2bobo\$b2o2b3ob2o20b2o2b3ob2o\$o2b2obo23bo2b2obo\$o2bobo24bo2bobo\$b3o2bo24b3o2bo\$3bo2b2o25bo2b2o\$3b3o27b3o!`

It is easy to clean up one mess but nearly impossible to clean up two messes!
knightlife

Posts: 566
Joined: May 31st, 2009, 12:08 am

### Re: One Bit Difference

Here is a one=bit glider:
`x = 36, y = 11, rule = B3/S233b3o27b3o\$2b2obo26b2obo\$2bo2bo26bo2bo\$bo3bo25bo3bo\$bo3bo25bo3bo\$3ob2o24b3ob2o\$2bo2bo26b2obo\$2bobo27bobo\$2bobo27bobo\$bo3bo25bo3bo\$b2ob2o25b2ob2o!`

Unusual since a cell in the center normally ruins everything.

ship to fleet:
`x = 4, y = 4, rule = B3/S232b2o\$bobo\$b2o\$o!`

Spaceship predecessors, LWSS to MWSS and MWSS to HWSS:
`x = 30, y = 35, rule = B3/S23o19bo7bo\$bo5bo13bo5bo\$2bo3bo15bo3bo\$3b3o17b3o\$6bo19bo26\$o19bo8bo\$bo6bo12bo6bo\$2bo4bo14bo4bo\$3b4o16b4o\$7bo19bo!`
knightlife

Posts: 566
Joined: May 31st, 2009, 12:08 am

### Re: One Bit Difference

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

The small o is the removable cell.
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1753
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: One Bit Difference

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

`x = 82, y = 39, rule = B3/S2316boo3boo36boo3boo\$15bobbobobbo34bobbobobbo\$11boo3boo3boo3boo26boo3boo3boo3boo\$11bo15bo26bo15bo\$8boobo15boboo20boobo15boboo\$7boboboo13boobobo18boboboo13boobobo\$7bobo5b3o3b3o5bobo18bobo5b3o3b3o5bobo\$5boobbo5bobo3bobo5bobboo14boobbo5bobo3bobo5bobboo\$4bo4boo4b3o3b3o4boo4bo12bo4boo4b3o3b3o4boo4bo\$4b5o21b5o12b5o21b5o\$8bo21bo20bo21bo\$bb4o27b4o8b4o27b4o\$bbobbo27bobbo8bobbo27bobbo\$\$16boo3boo36boo3boo\$bo4b3o8bo3bo8b3o4bo6bo4b3o8bo3bo8b3o4bo\$obo3bobo5bo9bo5bobo3bobo4bobo3bobo5bo9bo5bobo3bobo\$obo3b3o5boo7boo5b3o3bobo4bobo3b3o5boo7boo5b3o3bobo\$bo17bo17bo6bo17bo17bo\$18bobo40b3o\$bo17bo17bo6bo17bo17bo\$obo3b3o5boo7boo5b3o3bobo4bobo3b3o5boo7boo5b3o3bobo\$obo3bobo5bo9bo5bobo3bobo4bobo3bobo5bo9bo5bobo3bobo\$bo4b3o8bo3bo8b3o4bo6bo4b3o8bo3bo8b3o4bo\$16boo3boo36boo3boo\$\$bbobbo27bobbo8bobbo27bobbo\$bb4o27b4o8b4o27b4o\$8bo21bo20bo21bo\$4b5o21b5o12b5o21b5o\$4bo4boo4b3o3b3o4boo4bo12bo4boo4b3o3b3o4boo4bo\$5boobbo5bobo3bobo5bobboo14boobbo5bobo3bobo5bobboo\$7bobo5b3o3b3o5bobo18bobo5b3o3b3o5bobo\$7boboboo13boobobo18boboboo13boobobo\$8boobo15boboo20boobo15boboo\$11bo15bo26bo15bo\$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!

calcyman

Posts: 2023
Joined: June 1st, 2009, 4:32 pm