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

A weird reaction/component with the "pierce" catalyst:

`x = 11, y = 9, rule = LifeHistory4.2A\$4.A.A\$2.2A2.A\$3.A.A.2A\$3.A.A2.C\$2A.A.AC\$2A.A4.3A\$3.A3.A\$3.2A3.A!`

Speaking of which, I think I found a really good catalyst form for it:

`x = 29, y = 14, rule = LifeHistory25.2A\$26.A\$24.A\$24.5A\$28.A\$4.2A18.2A\$4.A.A16.A.C\$2.2A2.A16.A\$3.A.A.2A12.2A.C\$3.A.A2.C8.2A.A2.C\$2A.A.AC8.A2.A.AC\$2A.A4.3A4.2A.A4.3A\$3.A3.A10.A3.A\$3.2A13.2A!`

gmc_nxtman

Posts: 1147
Joined: May 26th, 2015, 7:20 pm

gmc_nxtman wrote:A weird reaction/component with the "pierce" catalyst: ...

Before considering the usefulness of such a catalyst, it is important to determine whether or not the scenario envisioned is even possible - i.e. is it possible to get that spark in the position indicated, without it having already interacted with the still-life on a previous geenration? This is impossible in this situation.

In the top row of 3 live cells, at most one could have been alive in the previos generation. If the middle one was not alive, for the left one to be born, it would require a line of 3 below, which interacts with the still-life. Therefore, the middle cell alone must have been alive on the previus generation, with the other two having two additional neighbors. For the left cell, the two neighbors must have formed an L-tromino with the top middle cell.

The leftmost cell could not have been there, or it would have interacted earlier, so it must be a birth. One of its parents is already spoken for, from the L tromino, so the two others must be on the row below it, which can happen in 3 ways. In the case of oob, this leaves an unwanted survival, so we must change it to oobo, which suppresses the necessary bottom cell. In the case of obo, we must also suppress the same survival, and oboo works nicely; unfortunately, this causes an extra birth where the 'b' cell is, and the only way to suppress that is either another live cell below left (which interferes with the still life), or below center or right (which suppresses the necessary bottom cell). Finally, in the case of boo, the leftmost live cell must be killed by two cells below, one of which will kill the necessary bottom cell.

Thus, there are no predecessors that can produce the indicated spark without having previously interacted with the catalyst.
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

mniemiec wrote:[portions cut]

Thus, there are no predecessors that can produce the indicated spark without having previously interacted with the catalyst.

Maybe not that particular spark, but there is a predecessor for an equivalent spark:
`x = 13, y = 12, rule = LifeHistory4.2A\$4.A.A\$2.2A2.A\$3.A.A.2A\$3.A.A2.C\$2A.A.AC\$2A.A5.A\$3.A4.3A.A\$3.2A2.2A.2A\$8.A\$7.2A\$7.3A!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1785
Joined: June 16th, 2009, 11:24 pm
Location: USA

Bipond thing

`x = 8, y = 6, rule = B3/S23o5b2o\$o5b2o\$2o\$bo\$2o\$2o!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3421
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Known reaction?

`x = 15, y = 11, rule = B3/S2312bobo\$12b2o\$4bo8bo\$3bobo\$3bobo\$b3ob3o\$o7bo\$b3ob3o\$3bobo\$3bobo\$4bo!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3421
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

muzik wrote:Known reaction?

`x = 15, y = 11, rule = B3/S2312bobo\$12b2o\$4bo8bo\$3bobo\$3bobo\$b3ob3o\$o7bo\$b3ob3o\$3bobo\$3bobo\$4bo!`

This was talked about earlier, but I don't remember where. Search for "caribou hassler".
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1883
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

muzik wrote:Known reaction?

`x = 15, y = 11, rule = B3/S2312bobo\$12b2o\$4bo8bo\$3bobo\$3bobo\$b3ob3o\$o7bo\$b3ob3o\$3bobo\$3bobo\$4bo!`

This was talked about earlier, but I don't remember where. Search for "caribou hassler".

Here:

http://www.conwaylife.com/forums/viewtopic.php?f=2&t=279&p=23921#p23921

And the pattern itself:

`x = 99, y = 78, rule = B3/S2367b2o5b2o\$63b2o2b2o5b2o2b2o\$63b2o13b2o6\$68bo5bo\$67b3o3b3o\$67bob2ob2obo\$69b2ob2o\$69b2ob2o\$69b2ob2o11\$69bo\$68bo\$54b2o5b2o5b3o\$54bo7bo\$29b2o5bo18b3ob3o\$29b2o4bobo19bobo\$34bo3bo18bobo\$34bo3bo19bo13b2ob2o\$33b3ob3o15bo15bo5bo\$34bo3bo16b2o\$34b2ob2o15bobo13bo7bo\$35bobo32bo2bobo2bo\$36bo33b3o3b3o5\$31bo3bo\$31bo3bo\$72b2ob2o\$43b2o21b2o5bobo\$28b2obo3bob2o5b2o19b2o6bobo20b2o\$29b3o3b3o5bo6b2o15bo6bo21b2o\$b2o27bo5bo12bobo\$b2o48bo31bo\$13bo68b2o13b2o\$12b2o8b2o32bo24b2o14b2o\$2o9b3obo5bo2bo29bo3b2o9b2o11b2o2b2o\$2o8b2o8b2ob3o27b2obob2o9bobo\$11b2o8b2obo27b2o6bo10bo\$12bo10bo29b2obob2o9b3o\$54bo3b2o22b2o2b2o\$12bo43bo24b2o14b2o\$11b2o69b2o13b2o\$2o8b2o13b2o11b3o28b3o11bo\$2o9b3obo9b2o13bo11b2o17bo\$12b2o25bo12b2o15bobo24b2o\$13bo55b2o25b2o\$b2o\$b2o\$22b2obo\$17b3o2b2o2bo\$18b2o6bo\$6bo12b3o3b2o3b3o3bo\$4b3o13bo3bo3b5o2bobo\$3bo23b2o3b2o3bo\$4b3o13bo3bo3b2o3bo2bo\$6bo12b3o3b2o2bo3b3o\$18b2o6bo\$17b3o2b2o2bo2bo3b3o\$22b2obo2b2o3bo2bo\$27b2o3b2o3bo12b2o\$28b5o2bobo12b2o\$30b3o3bo!`

EDIT: By the way, that pattern can be reduced:

`x = 86, y = 59, rule = B3/S2374b2o\$57b2o14b2ob2o6b2o\$57b2o15bo2bo6b2o\$74bo2bo\$75b2o2\$58b3ob3o10b2o\$57bob2ob2obo8bo2bo\$29b2o25b2o7b2o7bo2bo6b2o\$29b2o26bob2ob2obo7b2ob2o6b2o\$58b3ob3o9b2o3\$70bo\$60b2o8b2o\$59bo2bo5bob3o11b2o\$58b3ob2o8b2o10b2o\$29b3o3b3o33b2o\$28bo2bo3bo2bo3b2o5b2o9bobo8bo\$28b2obo3bob2o3bo7bo9b2o\$43b3ob3o10b2ob2o6bo\$45bobo14b2o7b2o\$46bo25b2o10b2o\$68bob3o11b2o\$57bob2o9b2o\$55b3ob2o9bo\$54bo\$b2o52b3ob2o\$b2o54bobo\$11b2o16bo27bobo\$13bo14b2o25b3ob2o\$2o8b2o2bo13b2o24bo\$2o9bo2bo40b3ob2o13b2o\$12bobo42bob2o12b5o\$12b2o59bo4bo5b2o\$28b2o43b3o2bo5b2o\$12b2o60bo2b2o\$12bobo60b2o\$2o9bo2bo10b2o\$2o8b2o2bo10b2o48b2o\$13bo49bo10bo2b2o\$11b2o46b2o12b3o2bo5b2o\$b2o55b2o13bo4bo5b2o\$b2o30b2o25bo12b5o\$10b3o3bo15bobo39b2o\$8b5o2bobo16bo\$12b2o3bo25bo\$6bob2o3bo2bo21bo3bo29b2o7b4o\$4b3ob2o3b3o21bo7bo25bo2bo6bo3bo\$3bo33bo2b2o5bo22b2o2bo10bo\$4b3ob2o3b3o22b2o5b2obo22bo2bo4bob2obo\$6bob2o3bo2bo22b3o3b2ob3o21bo6b3o\$12b2o3bo33bo\$8b5o2bobo21b3o3b2ob3o21bo6b3o\$10b3o3bo21b2o5b2obo22bo2bo4bob2obo\$37bo2b2o5bo9b2o11b2o2bo10bo\$37bo7bo11b2o12bo2bo6bo3bo\$38bo3bo29b2o7b4o\$43bo!`

gmc_nxtman

Posts: 1147
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Ark:

`x = 17, y = 16, rule = B3/S2311b3o\$14b3o\$14b3o\$15bo6\$o\$o\$o\$o\$b2o\$3bo\$3bo!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3421
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Blinker fuses coming out of my ears at this point.

`x = 5, y = 159, rule = B3/S232ob2o\$o3bo\$b3o3\$2bo\$2bo\$2bo7\$b3o7\$2bo\$2bo\$2bo7\$b3o7\$2bo\$2bo\$2bo7\$b3o7\$2bo\$2bo\$2bo7\$b3o7\$2bo\$2bo\$2bo7\$b3o7\$2bo\$2bo\$2bo7\$b3o7\$2bo\$2bo\$2bo7\$b3o7\$2bo\$2bo\$2bo7\$b3o7\$2bo\$2bo\$2bo7\$b3o7\$2bo\$2bo\$2bo7\$b3o!`

Thought I had found something akin to the half bakery reaction at this point:

`x = 11, y = 9, rule = B3/S234bo\$3bobo\$3bobo\$4bo2\$8b2o\$bo5bo2bo\$b2o5b2o\$obo!`

And a c/44 reaction:

`x = 27, y = 33, rule = B3/S23b2o11bo\$o2bo10bobo\$obo11b2o\$bo6\$8bob2o\$8b3o\$9bo7\$2bo\$bobo\$bo2bo\$2b2o9\$24b2o\$24bobo\$24bo!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3421
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

MWSS from glider+teardrop-based still life
`x = 13, y = 10, rule = Life10b2o\$9bo2bo\$9bo2bo\$obo4bob3o\$b2o3bobo\$bo4bo2bo\$4b3o3bo\$3bo5b2o\$3bob2o\$4bobo!`

LoM-like, from a variation on century.
`x = 4, y = 5, rule = Life2bo\$b3o\$3bo\$b2o\$o!`
Last edited by Rhombic on September 8th, 2016, 3:42 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

A fun reaction between a wing and an aircraft carrier, releasing a B-heptomino and a glider, catalysed by a block. Problems:
aircraft carrier is a 4-glider synthesis and it gets used up in the reaction
B-heptomino is not in a good position to use
the wing itself will need some open space for the synthesis and the evolved B-heptomino takes up the bottom part later, so it would require an incredibly good planning so as to allow every step

`x = 18, y = 17, rule = LifeHistory2A6.D\$2A6.2D\$7.D.CA\$7.A2.A\$7.2A4\$.2A\$.A.A\$3.2A2\$7.D\$7.2D8.D\$8.2D5.3D\$7.2D6.D.D\$15.D!`
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Rhombic

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

`x = 39, y = 4, rule = B3/S232b3ob3ob3ob3ob3ob3ob3ob3ob3o3\$3ob3ob3ob3ob3ob3ob3ob3ob3ob3o!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1227
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

muzik wrote:Known reaction?

`RLE`

And this one, too?

`x = 13, y = 11, rule = B3/S23bo\$2bo5bo\$3o4bobo\$7bobo\$5b3ob3o\$4bo7bo\$5b3ob3o\$7bobo\$3o4bobo\$2bo5bo\$bo!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1227
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Weekender eater using the catalyst from AK94:

`x = 21, y = 23, rule = LifeHistory14.2A3.A\$15.A2.A.A\$13.A4.A.A\$13.5A.A\$17.A\$13.2A3.A\$13.2A4.A\$18.2A\$2A\$2A3\$.A12.A\$.A12.A\$A.A10.A.A\$.A12.A\$.A12.A\$2.A3.4A3.A\$6.4A\$2.4A4.4A2\$4.A6.A\$5.2A2.2A!`

EDIT: Interesting pseudo-H->FNG but useless:

`x = 87, y = 31, rule = LifeHistory51.A\$49.3A\$25.A22.A\$25.3A20.2A17.A\$28.A38.3A\$27.2A41.A\$69.2A\$8.A48.2A\$8.3A47.A21.2A\$11.A46.A.A18.A.A\$10.2A11.2A11.C22.2A18.2A\$23.2A9.3C46.2A\$34.C.C46.A.A\$34.C50.A\$85.2A3\$9.C49.C\$9.C.C47.C.C\$9.3C36.2A9.3C\$11.C23.2A11.2A11.C\$36.A\$33.3A\$33.A42.2A\$76.2A\$2.2A48.2A\$3.A49.A\$3A20.2A25.3A\$A22.A26.A\$24.3A\$26.A!`

gmc_nxtman

Posts: 1147
Joined: May 26th, 2015, 7:20 pm

Can this partial be made into a spaceship?
`x = 13, y = 10, rule = B3/S232bo7bo\$bobo5bobo\$o2bo5bo2bo\$b2o7b2o2\$2bo7bo\$bobo5bobo3\$b3o5b3o!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1227
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Also, this one?

`x = 49, y = 10, rule = B3/S23bo9bo8bo7bo8bo9bo\$obo7bobo6bobo5bobo6bobo7bobo\$o2bo5bo2bo5bo2bo5bo2bo5bo2bo5bo2bo\$b2o7b2o7b2o7b2o7b2o7b2o2\$bo9bo8bo7bo8bo9bo\$obo7bobo6bobo5bobo6bobo7bobo3\$3o7b3o6b3o5b3o6b3o7b3o!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1227
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Or this one!???

`x = 13, y = 4, rule = B3/S23b4o3b4o\$o11bo\$obo2bobo2bobo\$3b2o3b2o!`

EDIT: Earlier predecessor:

`x = 9, y = 6, rule = B3/S233o3b3o\$3o3b3o\$3o3b3o\$2bo3bo\$2bo3bo\$2bo3bo!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1227
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

For the third one you posted (two adjacent Bs) there are several spaceships that support that engine. I know at one point I made a rake using it.
The first is a predecessor to a 3c/7 wave (the second has the wrong spacing):
`x = 253, y = 4, rule = B3/S232bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo\$bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo\$2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o\$4bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1883
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

BlinkerSpawn wrote:For the third one you posted (two adjacent Bs) there are several spaceships that support that engine. I know at one point I made a rake using it.

How do you stabilize it, though?
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1227
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Also, a semi-interesting reaction but useless:

`x = 38, y = 38, rule = B3/S2315b6ob2o\$15b6ob2o\$22b2o\$15b2o5b2o\$15b2o5b2o\$15b2o5b2o\$15b2o\$15b2ob6o\$15b2ob6o6\$6ob2o5b10o\$6ob2o5bo8bo5b6ob2o\$7b2o5bob6obo5b6ob2o\$2o5b2o5bobo4bobo12b2o\$2o5b2o5bobob2obobo5b2o5b2o\$2o5b2o5bobob2obobo5b2o5b2o\$2o12bobo4bobo5b2o5b2o\$2ob6o5bob6obo5b2o\$2ob6o5bo8bo5b2ob6o\$14b10o5b2ob6o6\$14b6ob2o\$14b6ob2o\$21b2o\$14b2o5b2o\$14b2o5b2o\$14b2o5b2o\$14b2o\$14b2ob6o\$14b2ob6o!`

EDIT: A similar reaction:

`x = 38, y = 38, rule = B3/S2315b6ob2o\$15b6ob2o\$22b2o\$15b2o5b2o\$15b2o5b2o\$15b2o5b2o\$15b2o\$15b2ob6o\$15b2ob6o6\$6ob2o5b10o\$6ob2o5bo8bo5b6ob2o\$7b2o5bob2ob3obo5b6ob2o\$2o5b2o5bob2ob3obo12b2o\$2o5b2o5bob2o5bo5b2o5b2o\$2o5b2o5bo5b2obo5b2o5b2o\$2o12bob3ob2obo5b2o5b2o\$2ob6o5bob3ob2obo5b2o\$2ob6o5bo8bo5b2ob6o\$14b10o5b2ob6o6\$14b6ob2o\$14b6ob2o\$21b2o\$14b2o5b2o\$14b2o5b2o\$14b2o5b2o\$14b2o\$14b2ob6o\$14b2ob6o!`

EDIT 2: Another similar reaction:

`x = 38, y = 38, rule = B3/S2315b6ob2o\$15b6ob2o\$22b2o\$15b2o5b2o\$15b2o5b2o\$15b2o5b2o\$15b2o\$15b2ob6o\$15b2ob6o6\$6ob2o5b10o\$6ob2o5bo8bo5b6ob2o\$7b2o5bo4b2o2bo5b6ob2o\$2o5b2o5bob2ob2o2bo12b2o\$2o5b2o5bob4o3bo5b2o5b2o\$2o5b2o5bo3b4obo5b2o5b2o\$2o12bo2b2ob2obo5b2o5b2o\$2ob6o5bo2b2o4bo5b2o\$2ob6o5bo8bo5b2ob6o\$14b10o5b2ob6o6\$14b6ob2o\$14b6ob2o\$21b2o\$14b2o5b2o\$14b2o5b2o\$14b2o5b2o\$14b2o\$14b2ob6o\$14b2ob6o!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1227
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Hdjensofjfnen wrote:
BlinkerSpawn wrote:For the third one you posted (two adjacent Bs) there are several spaceships that support that engine. I know at one point I made a rake using it.

How do you stabilize it, though?

With standard spaceships, akin to the space rake.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1883
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

If anyone ever requires a shillelagh for a conduit:

`x = 35, y = 32, rule = LifeHistory12.2A\$13.A\$13.A.A3.2A\$14.2A2.A.A\$19.A3\$6.A\$6.3A\$9.A\$8.2A6\$5.2A\$6.A\$6.A.A\$2A5.2A\$.A\$.A.A\$2.2A13.3C\$6.2A9.C.C\$5.A.A9.C.C\$5.2A3\$31.2A\$31.A\$32.3A\$34.A!`

gmc_nxtman

Posts: 1147
Joined: May 26th, 2015, 7:20 pm

1333-gen methuselah:
`x = 14, y = 5, rule = B3/S23b2o10bo\$b2o10bo\$13bo\$b2o\$2o!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1227
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Two cells off:
`x = 7, y = 9, rule = B3/S233b2o\$4bo\$3bo\$3o2\$3b2o\$3bo\$4b3o\$6bo!`
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

drc

Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

drc wrote:Two cells off:
`RLE`

Two cells off of what?
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1227
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

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