Known slopes exhibited by spaceships and other moving object

[muzik]

Totalistc and non-totalistic rules lacking B0 are preferred.

The speeds should also preferably be possible in Life, with a ship of speed (m,n)c/x having m+n =< x. Preferred would be having them be as fast as possible (m+n being as close to x as possible).

Lowest period possible would also be preferred.

Perfect
(0,1) (orthogonal ship) (Accurate)

Code: Select all

x = 4, y = 5, rule = B3/S23
b3o$o2bo$3bo$3bo$obo!

(1,1) (diagonal ship) (Accurate)

Code: Select all

x = 3, y = 3, rule = B3/S23
b2o$obo$2bo!

(2,1) (knightship) (c/7, fastest possible is c/6)

Code: Select all

x = 2, y = 4, rule = B2ceik3ceijky/S12c3ar4t5-iq
2o2$bo$bo!

(3,1) (camelship) (c/13, fastest possible is c/8)

Code: Select all

x = 16, y = 16, rule = B2en3ain5iy/S2-a3-ar4
7bo$7b3o$2bo3bo2bo$4o5bo$9bo!

(4,1) (giraffeship) (c/29, fastest possible is c/10)

Code: Select all

x = 12, y = 7, rule = B3/S12567
7b2o$o2b2ob3o$o2b5ob2o$4bo3bob2o$obo4b2o$obo2b2o$5b5o!

(5,1) (ibisship) (c/24, fastest possible is c/12)

Code: Select all

x = 14, y = 6, rule = B2ek3aijn/S1c2ace3jnr
2bo$bobo8bo$o3bo6bobo$bobo9bo$2bo7bob2o$11bo!

(6,1) (flamingoship) (c/21, fastest possible is c/14)

Code: Select all

x = 5, y = 3, rule = B367/S023-a4i5i
2bo$b3o$o2b2o!

(7,1) (c/71, fastest possible is c/16)

Code: Select all

x = 10, y = 9, rule = B3/S2-n34z6c
2b2o3b2o$2b2o2bo2bo$7b2o3$b3o$o$o2bo$b2o!

(8,1) (c/39, fastest possible is c/18)

Code: Select all

x = 5, y = 5, rule = B35a6e7c/S2-i34q
b2o$o2b2o$2obo$3bo$4bo!

(11,1) (c/30, fastest possible is c/24)

Code: Select all

x = 15, y = 7, rule = B3/S23-c4w7
bobo$o2bo$o2bo8b3o$2o12bo$b2o8bo2bo$11bobo$12bo!

(20,1) (c/67, fastest possible is c/42)

Code: Select all

x = 9, y = 7, rule = B2i34ik7/S23-a4ikn7
4o$o2bobo2$2o4b2o$bo3bob2o$3o2bobo$5b2o!

Semiperfect
(3,2) (zebraship) (Accurate)

Code: Select all

x = 5, y = 3, rule = B2en3/S25678
3bo$bo2bo$o2bo!

(5,2) (c/190, fastest possible is c/14)

Code: Select all

x = 22, y = 39, rule = B38/S23
11b2o$11b2o4$7b2o$9bo2$8b2o$9bo11$20b2o$20b2o4$16b2o$18bo2$17b2o$18bo
7$b2o$obo$bo!

(15,2) (c/35, fastest possible is c/34)

Code: Select all

x = 51, y = 25, rule = B3aijnq5ce/S23-y4ik5j
2o$2o10b3o$14bo26b3o$2b3o7b3o26bob2o$2bo2bo6bo31b2o$2bo2bo26b3o7bobo$
3b2o26bo2bo7b2o$2bo3bo21b2obob2o$bobo3bo21b3o$bo28bo2$2ob2o11b2o27bo$
4bo11bob2o23b5o$2bo16bo10bo12b2o3bo$17bobo25b2ob2o$17b2o30b2o$5bo39bob
obo$45bob2o$6bo31b2o5b2o$38b2o$23b2o9b2o$23b2o8bo2bo$6bo12b2o13b2o$18b
o2bo$5bobo11b2o!

(29,2) (c/89, fastest possible is c/62)

Code: Select all

x = 126, y = 58, rule = B3-k4c/S23
114bo$113b3o$97b2o13bo$100bo10b2o2bobo$94b2o5bobo6b3o2bob2o$94b2obobo
3b3obo3bo5bo$92bo14bo4b5o$91bo9bo5bo5bo$92bo4bo4bo$105b2o$100b2o3bo$
100bobo$101bo7$106b3o$108bo$101bo5bo$101bo$102b3o$77b2o9b2o14bo$67b2o
8b2o10b2o11bobo$67b2o19bo13b2o$38b2o41bo$38b2o40bobo$80bobo$81bo41b2o$
123b3o$100b2o4bo15bobo$100b2o3b2o2b2o11b2o$74b3o27bo4b2o7b2o$74b3o28bo
3b2o7b2o$74bobo25b3ob2o2bo$101bobo2b2o3bo$43bo55bo2bo3bo4bo$43bo55bo2b
o5b2obo$43bo30bo25b2ob2o3b3o$75b2ob2o22bo2bo$39b3o3b3o8b2o18b3o23bo$
50b2o25bo25b3o$43bo5b3o$43bo6b2o23b2o$43bo31b2o$52b2obo$3bobo46b2o2b2o
$2b2obo44bo2bob2o17bo$2bo2b2o43bobo21bo$3ob2o68bo$2bobo$70b3o3b3o$41bo
$41bo32bo$41bo3b2o27bo$45b2o27bo!

1/3-perfect
(4,3) (antelopeship) (c/20, fastest possible is c/14)

Code: Select all

x = 10, y = 8, rule = B3/S234w7c
7bo$7b2o$9bo$8b2o$5bo$2b2o$2obo$b3o3bo!

(7,3) (c/25, fastest possible is c/20)

Code: Select all

x = 22, y = 9, rule = B3-cky4e8/S23-c4cn
19bo$17b2ob2o$4b3o10b2ob2o$3o$o5bo$2o$2b3o11b2o$3b2o11bobo$17bo!

(17,3) (c/41, fastest possible is c/40)

Code: Select all

x = 4, y = 4, rule = B3-ej4t/S234i
bo$b2o$ob2o$b2o!

(22,3) (Puffer) (c/275, fastest possible is c/50)

Code: Select all

x = 19, y = 17, rule = B35j7e/S23
5b2o$5b2o10$8b2o$8b2o$16bo$15b3o$15bo2bo$3o13b2o!

(101,3) (Puffer) (c/1884, fastest possible is c/208)

Code: Select all

x = 16, y = 16, rule = B38/S23
bob4o2b2o2bo$2b3ob3ob6o$2b4ob4o4bo$bo2bo4b3o2bo$2obob3o2b2o2bo$o8b2o2b
obo$3ob2ob4ob2o$2o2b3o5bo$2o7b2ob2o$ob5o3b6o$5bo3b6o$2b2ob2ob3ob3o$ob
2obo2b3obo$bob3ob2o2bo$3o2bob4obobo$b4o3b6o!

1/4-perfect
(7,4) (c/61, fastest possible is c/22)

Code: Select all

x = 5, y = 5, rule = B2i34ik6/S2-i3-a4ikny
b3o$3bo$o3bo$bobo$b2o!

1/5-perfect
(7,5) (B0) (c/330, fastest possible is c/24)

Code: Select all

x = 11, y = 6, rule = B015/S14
2o3$8b2o$9b2o$10bo!

(9,5) color=#FF8800](Puffer)[/color] (c/35, fastest possible is c/28)

Code: Select all

x = 4, y = 4, rule = B3-ceq4et5e6ci8/S2-i35eij8
o$o2bo$obo$3o!

(16,5) (c/74, fastest possible is c/42)

Code: Select all

x = 5, y = 4, rule = B3/S23-e4e
2o$o$bob2o$2b2o!

(23,5) (c/79, fastest possible is c/56)

Code: Select all

x = 13, y = 15, rule = B3/S23
o$o$3o2b3o2b3o$o4bobo2bobo$o4bobo2bobo$3o2b3o2b3o3$3o2b3o2b3o$o2bo2bo
2bo$o2bo2bo2bo$3o3bo2bob2o$o2bo2bo2bo2bo$o2bo2bo2bo2bo$3o2b3o2b3o!

1/6-perfect
(25,6) (c/142, fastest possible is c/62)

Code: Select all

x = 6, y = 5, rule = B2ikn3/S2acek3-a4eiktz
3b2o$3bobo$obo2bo$b5o$2bo!

1/7-perfect
(8,7) (B0) (c/168, fastest possible is c/30)

Code: Select all

x = 7, y = 5, rule = B0123456/S146
bo2b2o$2bob2o$2b5o$4obo$b2o!

[Rocknlol]

Here are slope 7/4 and slope 20 ships:

Code: Select all

x = 5, y = 5, rule = B2i34ik6/S2-i3-a4ikny
2bo$bob2o$o3bo$2o2bo$2bo!

Code: Select all

x = 7, y = 9, rule = B2i34ik7/S23-a4ikn7
2bo$b3o$o2bo$3o2bo2$5b2o$bo4bo$b3o2bo$bobob2o!

[praosylen]

This might be useful:
viewtopic.php?f=11&t=626&p=9714

EDIT: I'm stupid.

[AforAmpere]

I think it is supposed to be bounded in speed by max speed for life ships, so p5 knightships, like this, are not allowed:

Code: Select all

x = 3, y = 3, rule = B3-cnry4-acery5i/S23-a4-jknqr5y8
2o$b2o$bo!

I am not sure, but I think that is what he meant.

[Rhombic]

I think it is supposed to be bounded in speed by max speed for life ships, so p5 knightships, like this, are not allowed:

Code: Select all

x = 3, y = 3, rule = B3-cnry4-acery5i/S23-a4-jknqr5y8
2o$b2o$bo!

I am not sure, but I think that is what he meant.

I think this one is also valid.

There are loads of rules on Catagolue and many of them have knightships if I remember correctly.

[AforAmpere]

This is a (3,7)c/27 puffer, can it be made into a spaceship?

Code: Select all

x = 5, y = 4, rule = B3-k/S23-y5-ijnq
2bo$2ob2o$2o2bo$3b2o!

[muzik]

This is a (3,7)c/27 puffer, can it be made into a spaceship?

Code: Select all

x = 5, y = 4, rule = B3-k/S23-y5-ijnq
2bo$2ob2o$2o2bo$3b2o!

AbhpzTa probably has you covered on that

[drc]

This is a (3,7)c/27 puffer, can it be made into a spaceship?

Code: Select all

x = 5, y = 4, rule = B3-k/S23-y5-ijnq
2bo$2ob2o$2o2bo$3b2o!

AbhpzTa probably has you covered on that

I don't know about that, it's not really that sparky, not even to have any two-engine reactions most likely. I tried other rules around this that might destroy the debris but I couldn't find any.

[AforAmpere]

There's also this (4,1)c/23 puffer, that I don't know if it can be turned into a spaceship, or in another rule

Code: Select all

x = 6, y = 3, rule = B34eqyz5-ek/S23
b2o$2ob3o$2bo!

[wildmyron]

This is a (3,7)c/27 puffer, can it be made into a spaceship?

Code: Select all

x = 5, y = 4, rule = B3-k/S23-y5-ijnq
2bo$2ob2o$2o2bo$3b2o!

Here are some candidate 2-engine reactions:

Code: Select all

x = 41, y = 145, rule = B3-k/S23-y5acekry
37b3o$36b2ob2o$40bo7$38b2o$20b3o14bo2bo$12b3o23b2o$11b2ob2o6bo8b2o$15b
o5bob2o5bo2bo$20bo2bobo5b2o$21bo2b2o2$17bo$17bo$17bo2$9b3o$b3o$2ob2o$
4bo15$21bo$21bo$12b2o7bo$12bob2o$12bo2bo$14bo7$9b3o$b3o$2ob2o$4bo27$9b
3o$b3o$2ob2o$4bo8b2o$13bob2o$13bo2bo$15bo14$15bo$15bo$6b2o7bo$6bob2o$
6bo2bo$8bo$15b2o$16b2o$17bo2$9b3o$b3o$2ob2o$4bo20$8b2o3b3o$7b3o$6b2ob
2o$7b2o5bob2o$8bo4bo3bo$17bo2$9b3o$b3o$2ob2o$4bo!

[AbhpzTa]

This is a (3,7)c/27 puffer, can it be made into a spaceship?

Code: Select all

x = 5, y = 4, rule = B3-k/S23-y5-ijnq
2bo$2ob2o$2o2bo$3b2o!

Here are some candidate 2-engine reactions:

Code: Select all

x = 41, y = 145, rule = B3-k/S23-y5acekry
37b3o$36b2ob2o$40bo7$38b2o$20b3o14bo2bo$12b3o23b2o$11b2ob2o6bo8b2o$15b
o5bob2o5bo2bo$20bo2bobo5b2o$21bo2b2o2$17bo$17bo$17bo2$9b3o$b3o$2ob2o$
4bo15$21bo$21bo$12b2o7bo$12bob2o$12bo2bo$14bo7$9b3o$b3o$2ob2o$4bo27$9b
3o$b3o$2ob2o$4bo8b2o$13bob2o$13bo2bo$15bo14$15bo$15bo$6b2o7bo$6bob2o$
6bo2bo$8bo$15b2o$16b2o$17bo2$9b3o$b3o$2ob2o$4bo20$8b2o3b3o$7b3o$6b2ob
2o$7b2o5bob2o$8bo4bo3bo$17bo2$9b3o$b3o$2ob2o$4bo!

4-engine (7,3)c/27 p27 spaceship:

Code: Select all

x = 32, y = 28, rule = B3-k/S23-y5-ijnq
25b2o$25bo2bo$24bo4bo$24b3o2bo$25bo3$30bo$29bobo$29bobo$21b3o6bo$20bob
2o$20b2o2$7bo$6bobo7bo8b2o$5bo2bo8bo6bo2bo$5bobo7bo9b2o$5b3o7bo3bo$19b
o$15bo3bo$10b3o4bo$3bo$2bobo$bo2bo$2ob2o$bobo$2bo!

[muzik]

Knew it.