## Thin spaceships

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### Thin spaceships

Those that fit in all phases, or in most phases, in a fairly thin bounding box, orthogonal to the direction of travel.

This xq22 fits in 12/22 phases in a nx3 bounding box:
`x = 7, y = 3, rule = B2ikn3-jnry4-acitz5er6-en78/S02-k3-ikn4jqtw5ck6c8o2b2obo\$3obobo\$o5bo!`

What is the highest period spaceship for which all phases, and history direction of travel, fit in a Nx3 bounding box?
The t-ship is obviously a p5 answer for this. Rules without B0, please.

NB. nx3 is the minimum thickness for all phases for rules without B2a.
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Rhombic

Posts: 1056
Joined: June 1st, 2013, 5:41 pm

### Re: Thin spaceships

Spaceship w/2xn bounding box if you happen to doubt their existence:
`x = 3, y = 2, rule = B2aik3n/Sobo\$o!`

This particular rule also has a replicator:
`x = 3, y = 2, rule = B2aik3n/Sobobo\$o!`
I like making rules
fluffykitty

Posts: 569
Joined: June 14th, 2014, 5:03 pm

### Re: Thin spaceships

Rhombic wrote:[...]
NB. nx3 is the minimum thickness for all phases for rules without B2a.

Not quite:
`x = 3, y = 2, rule = B1e3a/S2a43o\$b2o!`
Creator of multiple rules that may or may not be what you'd expect

_zM

Posts: 168
Joined: June 26th, 2016, 3:07 pm

### Re: Thin spaceships

_zM wrote:Not quite:
`x = 3, y = 2, rule = B1e3a/S2a43o\$b2o!`

Right, OK, but you get what I meant hahaha. What non-B2a and non-B1e spaceships are contained in all their phases in a nx3 bounding box?
Last edited by Rhombic on September 30th, 2017, 12:45 pm, edited 2 times in total.
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Rhombic

Posts: 1056
Joined: June 1st, 2013, 5:41 pm

### Re: Thin spaceships

Does this work:
`x = 3, y = 2, rule = B2e3i/S1c2cebo\$obo!`
`x = 81, y = 96, rule = LifeHistory58.2A\$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!`
Gamedziner

Posts: 709
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Thin spaceships

Gamedziner wrote:Does this work:
`x = 3, y = 2, rule = B2e3i/S1c2cebo\$obo!`

Well, yes, that and the t-ship in tlife. What is the highest period we can get to?
So far, it's p5.
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Rhombic

Posts: 1056
Joined: June 1st, 2013, 5:41 pm

### Re: Thin spaceships

period 8 ship:
`x = 4, y = 1, rule = B2ce3inqy4ciq5aeiq6kn8/S02ck3j4r5ak6e2obo!`
`x = 11, y = 5, rule = B2ck3-ij5n78/S01e2ei3-k5ai8b2o\$2o3b2o\$bo4bo3bo\$2bo2b2o\$o7bo!`

(Check Gen 2)

toroidalet

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Joined: August 7th, 2016, 1:48 pm
Location: my computer

### Re: Thin spaceships

This is the highest period ship which fits in an Nx3 channel that I have found so far:

ortho 6c/26
`x = 3, y = 3, rule = B2ei3ain4airt5ey/S02cek3y5eo\$obo\$o!`

Edit:

and in the spirit of "almost fits in an Nx3 channel", this 4c/32 fits in 20/32 generations:
`x = 4, y = 2, rule = B2e3ijr4n5cj/S012ei3ijnqr4air5a6no\$ob2o!`
The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1110
Joined: August 9th, 2013, 12:45 am

### Re: Thin spaceships

1xn 12c/28
`x = 21, y = 1, rule = B2ce4-cint67e8/S145672o3bob2obob2obob2obo!`

found manually
The rule is really interesting and has a probably gun, I'm going to apgsearch it
she/they // Please stop using my full name. Refer to me as dani.

"I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D.

danny

Posts: 944
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA

### Re: Thin spaceships

1x8 3-cell spaceship, at 3c/30:
`x = 8, y = 1, rule = B2cen3k4aciw5inq6ci7c/S02ikn3ae4ij5k6eobo4bo!`

EDIT 1x9 3-cell spaceship, at C/17:
`x = 9, y = 1, rule = B2cek3einry4-iktw5-ckny6ak78/S02n3nq4acknqrw5ek6-ce7eobo5bo!`
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 997
Joined: July 1st, 2016, 3:58 pm

### Re: Thin spaceships

AforAmpere wrote:1x8 3-cell spaceship, at 3c/30:
`x = 8, y = 1, rule = B2cen3k4aciw5inq6ci7c/S02ikn3ae4ij5k6eobo4bo!`

EDIT 1x9 3-cell spaceship, at C/17:
`x = 9, y = 1, rule = B2cek3einry4-iktw5-ckny6ak78/S02n3nq4acknqrw5ek6-ce7eobo5bo!`

The main idea is for all the phases to fit in the thinnest possible bounding box, not just one phase although I recall a thread for 1D spaceships somewhere in other CA
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Rhombic

Posts: 1056
Joined: June 1st, 2013, 5:41 pm

### Re: Thin spaceships

p10 in 3xn all phase, 1xn initial phase:

`x = 6, y = 1, rule = B2eik3iy4aci5e6i8/S12cei3in4ce5i7e82obobo!`

testitemqlstudop

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Location: very very very very boats