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Thin spaceships

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Thin spaceships

Postby Rhombic » August 25th, 2017, 8:15 am

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-ikn4jqtw5ck6c8
o2b2obo$3obobo$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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Re: Thin spaceships

Postby fluffykitty » September 28th, 2017, 5:52 pm

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

This particular rule also has a replicator:
x = 3, y = 2, rule = B2aik3n/S
obobo$o!
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Re: Thin spaceships

Postby _zM » September 30th, 2017, 4:39 am

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

Not quite:
x = 3, y = 2, rule = B1e3a/S2a4
3o$b2o!
stop drop and goll
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Re: Thin spaceships

Postby Rhombic » September 30th, 2017, 5:51 am

_zM wrote:Not quite:
x = 3, y = 2, rule = B1e3a/S2a4
3o$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.
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Re: Thin spaceships

Postby Gamedziner » September 30th, 2017, 6:30 am

Does this work:
x = 3, y = 2, rule = B2e3i/S1c2ce
bo$obo!
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Re: Thin spaceships

Postby Rhombic » September 30th, 2017, 12:44 pm

Gamedziner wrote:Does this work:
x = 3, y = 2, rule = B2e3i/S1c2ce
bo$obo!

Well, yes, that and the t-ship in tlife. What is the highest period we can get to?
So far, it's p5.
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Re: Thin spaceships

Postby toroidalet » October 1st, 2017, 12:29 pm

period 8 ship:
x = 4, y = 1, rule = B2ce3inqy4ciq5aeiq6kn8/S02ck3j4r5ak6e
2obo!
x = 4, y = 2, rule = B3/S23
ob2o$2obo!

(Check Gen 2)
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Re: Thin spaceships

Postby wildmyron » October 16th, 2017, 11:46 pm

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/S02cek3y5e
o$obo$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/S012ei3ijnqr4air5a6n
o$ob2o!
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Re: Thin spaceships

Postby danny » October 28th, 2017, 5:00 pm

1xn 12c/28
x = 21, y = 1, rule = B2ce4-cint67e8/S14567
2o3bob2obob2obob2obo!

found manually
The rule is really interesting and has a probably gun, I'm going to apgsearch it
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Re: Thin spaceships

Postby AforAmpere » October 28th, 2017, 5:57 pm

1x8 3-cell spaceship, at 3c/30:
x = 8, y = 1, rule = B2cen3k4aciw5inq6ci7c/S02ikn3ae4ij5k6e
obo4bo!


EDIT 1x9 3-cell spaceship, at C/17:
x = 9, y = 1, rule = B2cek3einry4-iktw5-ckny6ak78/S02n3nq4acknqrw5ek6-ce7e
obo5bo!
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
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Re: Thin spaceships

Postby Rhombic » October 29th, 2017, 9:43 am

AforAmpere wrote:1x8 3-cell spaceship, at 3c/30:
x = 8, y = 1, rule = B2cen3k4aciw5inq6ci7c/S02ikn3ae4ij5k6e
obo4bo!


EDIT 1x9 3-cell spaceship, at C/17:
x = 9, y = 1, rule = B2cek3einry4-iktw5-ckny6ak78/S02n3nq4acknqrw5ek6-ce7e
obo5bo!

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
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