1x256X2+1 Search Results

[wwei23]

My logic:
Calcyman said the reason why he marked 1x256X2+1 as a troll symmetry in the first place was because I made a lot of noise about it, on many distinct forum threads. I still want to post results from that symmetry, so I decided that it would be best to limit the noise to just one thread, so I made this thread for it. Because I'm the only one who actually seems to care about the symmetry, it felt best to put this in the sandbox.

Code: Select all

x = 511, y = 1, rule = B3/S23
2o2bob2ob3obo3b2ob2ob3o2bobo2bo2b2o5b4ob2obobob3ob2o2b4o3bobobobo2bobo
2bobob2obobo2b2ob3obo3b3o5b2o2bobo6bobob2o3bobobobobo2bobob2o2b2ob4obo
bob3obob2obob5ob3o5b7o2b3obobo4bo4bobobo3b2o3b3ob4ob7ob3ob3ob3ob3ob7ob
4ob3o3b2o3bobobo4bo4bobob3o2b7o5b3ob5obob2obob3obobob4ob2o2b2obobo2bob
obobobo3b2obobo6bobo2b2o5b3o3bob3ob2o2bobob2obobo2bobo2bobobobo3b4o2b
2ob3obobob2ob4o5b2o2bo2bobo2b3ob2ob2o3bob3ob2obo2b2o!

Code: Select all

x = 511, y = 1, rule = B3/S23
3o2b6o2bob3ob6o6b2o2bo3b2obo2b2obob2obobob2ob2obo2bo3bob5ob3o2b3obo2b
4ob3o6bo2bob2obobob4o2bobo2bo2b3ob6obobobobob5obob3o3b5ob3obobo2bo2bo
3bobo4bo3b3o2bo3b2obo3bo2b2obobo3bo3b5obo3b3ob3ob9ob9ob3ob3o3bob5o3bo
3bobob2o2bo3bob2o3bo2b3o3bo4bobo3bo2bo2bobob3ob5o3b3obob5obobobobob6ob
3o2bo2bobo2b4obobob2obo2bo6b3ob4o2bob3o2b3ob5obo3bo2bob2ob2obobob2obob
2o2bob2o3bo2b2o6b6ob3obo2b6o2b3o!

Code: Select all

x = 511, y = 1, rule = B3/S23
bobobo2b3ob5o2b2obob2o2b2o4bo3bob4o2b4o2bo5b3obob6o3bo2bo3b2ob5o2bo3bo
bobo3b3o5bo2b2ob2o3b5ob2ob2obobo2bo2bo3bo3bo2b2o4bob3obo2bob2obo4bobo
2b2obo2b2ob2o2bo2b5ob3o5b3ob2obobo3b2ob5o2b2ob3ob3ob9ob9ob3ob3ob2o2b5o
b2o3bobob2ob3o5b3ob5o2bo2b2ob2o2bob2o2bobo4bob2obo2bob3obo4b2o2bo3bo3b
o2bo2bobob2ob2ob5o3b2ob2o2bo5b3o3bobobo3bo2b5ob2o3bo2bo3b6obob3o5bo2b
4o2b4obo3bo4b2o2b2obob2o2b5ob3o2bobobo!

Code: Select all

x = 511, y = 1, rule = B3/S23
3obo4b3ob2o4bob5obo3bob5obo2bo4bo2b3o3b3o4bo4b2ob2o4bo2b4obob2obobobob
2o6bo2bob2ob2o3b5o4b2ob2obo2b2o3bobob5o2b4o3bo2b2o3bo2bob6o7b4o3bo2b7o
3b4obo2b4ob2obobob6o2bob2ob3o2bo2b3o5bobobo5b3o2bo2b3ob2obo2b6obobob2o
b4o2bob4o3b7o2bo3b4o7b6obo2bo3b2o2bo3b4o2b5obobo3b2o2bob2ob2o4b5o3b2ob
2obo2bo6b2obobobob2obob4o2bo4b2ob2o4bo4b3o3b3o2bo4bo2bob5obo3bob5obo4b
2ob3o4bob3o!

Code: Select all

x = 511, y = 1, rule = B3/S23
o2b3o4bo2b5o4b2o2bo2b6ob7ob5ob3ob3ob2ob2obo2bobo3bo2b2obo2bo2b6ob3o2bo
bo4b4o3b3obo2b2obo6bobo2b2ob4obob2obob7obo5b2o2bo3bo3b2o2bo2bo2bo2bobo
4bo4bobo3b7o2b5o2b2ob5obo2bob7obob5o3b5o3b5obob7obo2bob5ob2o2b5o2b7o3b
obo4bo4bobo2bo2bo2bo2b2o3bo3bo2b2o5bob7obob2obob4ob2o2bobo6bob2o2bob3o
3b4o4bobo2b3ob6o2bo2bob2o2bo3bobo2bob2ob2ob3ob3ob5ob7ob6o2bo2b2o4b5o2b
o4b3o2bo!

Code: Select all

x = 511, y = 1, rule = B3/S23
2b2ob4o2bo3b2obo5b5o2b4obo4b2obobo3b2o4b2o2b3o3bo2b3o5b2o3bobob2o4bo2b
obo4b5o3b2ob5ob2obo5bob2ob2ob3obob3o4bob2ob5o4bo3bo2bob4o2bo2bobo3bo7b
2ob2obobobo4b2o2bobobob5o2bob9ob2ob4ob2o2b3obob3o2b2ob4ob2ob9obo2b5obo
bobo2b2o4bobobob2ob2o7bo3bobo2bo2b4obo2bo3bo4b5ob2obo4b3obob3ob2ob2obo
5bob2ob5ob2o3b5o4bobo2bo4b2obobo3b2o5b3o2bo3b3o2b2o4b2o3bobob2o4bob4o
2b5o5bob2o3bo2b4ob2o!

Code: Select all

x = 511, y = 1, rule = B3/S23
bo2b2obo3bo3b3obo2b2ob2o4bobo2b2ob5o2b2ob3ob5o5bo3b2o3bo2bob3obob2o2bo
bob3o2b3ob3obobo2b4ob2obob2obo2bobo2b7o3b3o5b2ob2o4bob2ob6obobo2b2obob
3o2b2o2bob2ob4o5b2o2bobo3b2ob2ob2obob3ob5ob8ob4obobobobobobobobobob4ob
8ob5ob3obob2ob2ob2o3bobo2b2o5b4ob2obo2b2o2b3obob2o2bobob6ob2obo4b2ob2o
5b3o3b7o2bobo2bob2obob2ob4o2bobob3ob3o2b3obobo2b2obob3obo2bo3b2o3bo5b
5ob3ob2o2b5ob2o2bobo4b2ob2o2bob3o3bo3bob2o2bo!

[yujh]

Code: Select all

x = 509, y = 1, rule = B3_S23
3o2bobo3b2o2b3o4bo3bo3b3ob2o2bo4b4obo2bo7b3ob2o2bobob2ob3ob2ob4obob3o
3bo2bobobobo4b5o2b11o2bo3bo3b6o2b4obo4b3o3bob3obobo2bo3bob9o3bo2bo2bob
2obobobo2b2ob3obo3b3ob2ob4ob2o5b3o3b3ob15ob3o3b3o5b2ob4ob2ob3o3bob3ob
2o2bobobob2obo2bo2bo3b9obo3bo2bobob3obo3b3o4bob4o2b6o3bo3bo2b11o2b5o4b
obobobo2bo3b3obob4ob2ob3ob2obobo2b2ob3o7bo2bob4o4bo2b2ob3o3bo3bo4b3o2b
2o3bobo2b3o!

pretty easy to figure out how to search the symmestry.

Code: Select all

x = 511, y = 1, rule = B3_S23
2o4b4obo4bobo2b2ob2o2b5ob5ob3o2b2o3bo3bobobo5b3o4bo3b2obob4ob6o2bo2bob
3o7b2ob2o3b2ob2o3b3obobob4o3b2ob2obo2b5obo3b3o6bob2obo3b6ob2o2b2ob2o2b
obo2bo3b2ob5o3bob2obo2bo2b7obob2o5b3o2bo4bo5bo4bo2b3o5b2obob7o2bo2bob
2obo3b5ob2o3bo2bobo2b2ob2o2b2ob6o3bob2obo6b3o3bob5o2bob2ob2o3b4obobob
3o3b2ob2o3b2ob2o7b3obo2bo2b6ob4obob2o3bo4b3o5bobobo3bo3b2o2b3ob5ob5o2b
2ob2o2bobo4bob4o4b2o!

[Hunting]

Because I'm the only one who actually seems to care about the symmetry, it felt best to put this in the sandbox.

Really? No.

@yujh wrong. The very center cell is always dead.

[yujh]

Because I'm the only one who actually seems to care about the symmetry, it felt best to put this in the sandbox.

Really? No.

@yujh wrong. The very center cell is always dead.

Will fix later.
Wait:u’r x

[wwei23]

@yujh wrong. The very center cell is always dead.

Not necessarily. I will post my implementation of this symmetry later. The implementation is harder than you think because hashsoup for C1 works a bit differently than hashsoup for 1x256. As a result, to make extracting 1x256X2+1 soups from C1 soups possible, I had to implement this in a more complicated way than one would expect.

Because I'm the only one who actually seems to care about the symmetry, it felt best to put this in the sandbox.

Really? No.

Well, that was the case in 2017.

[yujh]

@yujh wrong. The very center cell is always dead.

Not necessarily. I will post my implementation of this symmetry later. The implementation is harder than you think because hashsoup for C1 works a bit differently than hashsoup for 1x256. As a result, to make extracting 1x256X2+1 soups from C1 soups possible, I had to implement this in a more complicated way than one would expect.

Because I'm the only one who actually seems to care about the symmetry, it felt best to put this in the sandbox.

Really? No.

Well, that was the case in 2017.

Mine is already lay on github(and you can’t upload the results to catagolue!)

[wwei23]

Here is my implementation of the symmetry, please don't upload hauls to my test symmetry in case something goes wrong:

Code: Select all

        if ((symmetry == "YOUR_NAME_1x256X2+1_Test")) {
	    bitworld hbw;
            for (int i = 0; i < 16; i++) {
		bw.world[std::pair<int32_t, int32_t>(2*i+1, 0)] = (uint64_t) digest[2*i];
		bw.world[std::pair<int32_t, int32_t>(2*i, 0)] = (uint64_t) digest[2*i+1];
		hbw.world[std::pair<int32_t, int32_t>(30-2*i, 0)] = uint64_hreflect((uint64_t) digest[2*i]);
		hbw.world[std::pair<int32_t, int32_t>(31-2*i, 0)] = uint64_hreflect((uint64_t) digest[2*i+1]);
            }
	    bw+=shift_bitworld(hbw, 255, 0);
            return bw;
        }

Also, why can't you upload results to Catagolue?

Code: Select all

x = 511, y = 1, rule = B3/S23
2ob2ob2o6b4ob4obo3bobo2b2o3b2ob3ob4o7bobobobo2bo2bobo2bo6b4ob2ob3obob
3ob3ob3ob2o2b4o4b5o2bo2bo4bo6bo3bo3b2o2bob2o3b2o3b2obo5bob3ob2o5b3o2bo
bob2o3bo6bo2b3ob4o2bo2b5ob4o4bo2b4o2b2ob4ob3ob4ob2o2b4o2bo4b4ob5o2bo2b
4ob3o2bo6bo3b2obobo2b3o5b2ob3obo5bob2o3b2o3b2obo2b2o3bo3bo6bo4bo2bo2b
5o4b4o2b2ob3ob3ob3obob3ob2ob4o6bo2bobo2bo2bobobobo7b4ob3ob2o3b2o2bobo
3bob4ob4o6b2ob2ob2o!

Code: Select all

x = 511, y = 1, rule = B3/S23
3b2obo2b5ob3o2b4o4b2o2bo2b2o2bob2o2b2obo7b4ob2obob2ob3ob4o2bob2obo2bob
o2b2obo2b4o2b4o3b3ob2o2bo8bob3ob4o2bob3o4b3obob2ob2o2b8o5bo4b4o3bob5o
3bobo2b3o2b4o2b3o2b5o3bo3b2obo5b2o3b2o2bo6bo6bo2b2o3b2o5bob2o3bo3b5o2b
3o2b4o2b3o2bobo3b5obo3b4o4bo5b8o2b2ob2obob3o4b3obo2b4ob3obo8bo2b2ob3o
3b4o2b4o2bob2o2bobo2bob2obo2b4ob3ob2obob2ob4o7bob2o2b2obo2b2o2bo2b2o4b
4o2b3ob5o2bob2o!

Code: Select all

x = 511, y = 1, rule = B3/S23
bo4b4o4b4ob2obob3o2b5obob2ob3o2bo4bo4bo6b3obo2b2obob2obo4b2o4bob3ob6ob
o2b2obo4b8o2b4o2b2obob2obobo3bob2o2bo4b3o3bo4bo3b5o2b4obo3b2o2bo3b2o3b
obobobo2bo2bo4b7ob5ob3ob3o4bo2bo2b2o2bobo7bobo2b2o2bo2bo4b3ob3ob5ob7o
4bo2bo2bobobobo3b2o3bo2b2o3bob4o2b5o3bo4bo3b3o4bo2b2obo3bobob2obob2o2b
4o2b8o4bob2o2bob6ob3obo4b2o4bob2obob2o2bob3o6bo4bo4bo2b3ob2obob5o2b3ob
ob2ob4o4b4o4bo!

Code: Select all

x = 511, y = 1, rule = B3/S23
ob3o6bob2ob2ob2obobobo2bo2bob3o5b2o9b6o2bo2bob2o3bobob4o4bobobob2obo3b
o2bob2o6bob2ob3o6b4ob2o4bo6bo2b2ob2ob4o2b4o4bo2bo3b3ob2ob4o2b5o2bo2b2o
3bo4bob4o4bob5o4b2ob9o3b3ob2o2b2o4b3o4b2o2b2ob3o3b9ob2o4b5obo4b4obo4bo
3b2o2bo2b5o2b4ob2ob3o3bo2bo4b4o2b4ob2ob2o2bo6bo4b2ob4o6b3ob2obo6b2obo
2bo3bob2obobobo4b4obobo3b2obo2bo2b6o9b2o5b3obo2bo2bobobob2ob2ob2obo6b
3obo!

Code: Select all

x = 511, y = 1, rule = B3/S23
ob4o2b2obobo3bobo2bob6o2b2ob2o2bo3b3ob5o5bobob2obo3b4o2b2obo5b2o2bo4bo
b2obo2b2o4bo4bobobo3bobo2bo3b4o2bob2o3bobobob5o2b3o2b3obo2b2o2bo3bobo
2bo2bo2b2o2bob4o3bo2bo4b3obo2bo2b4obo2bob4obob3ob5o2bo2bob3obobobob3ob
o2bo2b5ob3obob4obo2bob4o2bo2bob3o4bo2bo3b4obo2b2o2bo2bo2bobo3bo2b2o2bo
b3o2b3o2b5obobobo3b2obo2b4o3bo2bobo3bobobo4bo4b2o2bob2obo4bo2b2o5bob2o
2b4o3bob2obobo5b5ob3o3bo2b2ob2o2b6obo2bobo3bobob2o2b4obo!

Code: Select all

x = 511, y = 1, rule = B3/S23
3b2o2b3o3bo2b5o2b4ob5o2b2o5b4o4bo3b2o2bo4bob4ob3o2bob4o3b2o4b3o2b2obob
obobob3ob2obo4b3obob2obo5bobo3b3obo6b3ob4o4bobo2b6ob2ob2obo2bobo2bob2o
4b3ob7obob4ob3o3b4obo4bob3ob2obo2b4o6b5o6b4o2bob2ob3obo4bob4o3b3ob4obo
b7ob3o4b2obo2bobo2bob2ob2ob6o2bobo4b4ob3o6bob3o3bobo5bob2obob3o4bob2ob
3obobobobob2o2b3o4b2o3b4obo2b3ob4obo4bo2b2o3bo4b4o5b2o2b5ob4o2b5o2bo3b
3o2b2o!

Code: Select all

x = 511, y = 1, rule = B3/S23
4b3obo4b2o2bob2ob2o5bob2o2bo3b5o2b4obob4o3bo2bobob4obo5b3obob5ob3o4bo
2b5ob2o6bo3bobo5b2ob3ob3obob2o2b2o3bobobo2b2ob2ob2o3b3o2bo2bobob2ob2o
2b2o2bo3bobo4bob4ob5obo3b4ob3ob3o2b3ob2obob2o2bo3bob2o2b3o2b2obo3bo2b
2obob2ob3o2b3ob3ob4o3bob5ob4obo4bobo3bo2b2o2b2ob2obobo2bo2b3o3b2ob2ob
2o2bobobo3b2o2b2obob3ob3ob2o5bobo3bo6b2ob5o2bo4b3ob5obob3o5bob4obobo2b
o3b4obob4o2b5o3bo2b2obo5b2ob2obo2b2o4bob3o!

Code: Select all

x = 511, y = 1, rule = B3/S23
2bo3b7o3b4obob3obo3b2ob2ob2ob2o3b4o2b6o4b7ob2o2b2o2b4ob5ob2ob3obo4b2o
2b3o3b2ob2o5bobo2b2o5b3ob2o2bobo4bob2ob3o2b2o2bo3bobob4o3b4ob2o7b2ob6o
bo2b6o2b9ob3ob4o2b4o5b2obo2bob3o2bo3bo2b3obo2bob2o5b4o2b4ob3ob9o2b6o2b
ob6ob2o7b2ob4o3b4obobo3bo2b2o2b3ob2obo4bobo2b2ob3o5b2o2bobo5b2ob2o3b3o
2b2o4bob3ob2ob5ob4o2b2o2b2ob7o4b6o2b4o3b2ob2ob2ob2o3bob3obob4o3b7o3bo!

Code: Select all

x = 511, y = 1, rule = B3/S23
b2o2b2obob2o3bobo3b3o3b5o2bo2bob4obo2b2o2b4o3b2o2bob6o2bo3b2o3b5o2bo2b
4o2bobo2b3ob5o2bo3b2o2bo4b2o2b3o3bobo3b3o4bo2b2ob3obo5b2ob5o10bo2bob3o
2b3o2bobob2obo2b5o3bo2b3obob4obob7o3b3o4b4o2bo2b4o4b3o3b7obob4obob3o2b
o3b5o2bob2obobo2b3o2b3obo2bo10b5ob2o5bob3ob2o2bo4b3o3bobo3b3o2b2o4bo2b
2o3bo2b5ob3o2bobo2b4o2bo2b5o3b2o3bo2b6obo2b2o3b4o2b2o2bob4obo2bo2b5o3b
3o3bobo3b2obob2o2b2o!

Code: Select all

x = 511, y = 1, rule = B3/S23
bo3bo2bo3bo2b2o4b4obob7o4b3obo2bo3bobob2obo4bo4b4obob5obo2bo2bo4bobob
2ob3o2b2ob3o5bo2b2obob2o9b2o4bob3obo6b2o4bo5bo2b3o3b4o2bo3b3o4b2obob2o
bob2o2bo2bobo3b2ob3obob6ob4ob5obob7o2bo2b3o2bo2b7obob5ob4ob6obob3ob2o
3bobo2bo2b2obob2obob2o4b3o3bo2b4o3b3o2bo5bo4b2o6bob3obo4b2o9b2obob2o2b
o5b3ob2o2b3ob2obobo4bo2bo2bob5obob4o4bo4bob2obobo3bo2bob3o4b7obob4o4b
2o2bo3bo2bo3bo!

Code: Select all

x = 511, y = 1, rule = B3/S23
3o4b2ob2obo2b4obobob2o4b2o4bo3b4ob4obobo5bobo3b2o3bo4b6o4bo3b4o3bo2b2o
bo2b2o2b2ob4ob6ob5obobo2b3obob2ob2obobo2b2o2b3o2bobob2o6bo2bo2bo6b7ob
3o2bo2b4ob2ob2o2bo2bo2b2o4b2o2b3obo6bob3obo3bob5obo3bob3obo6bob3o2b2o
4b2o2bo2bo2b2ob2ob4o2bo2b3ob7o6bo2bo2bo6b2obobo2b3o2b2o2bobob2ob2obob
3o2bobob5ob6ob4ob2o2b2o2bob2o2bo3b4o3bo4b6o4bo3b2o3bobo5bobob4ob4o3bo
4b2o4b2obobob4o2bob2ob2o4b3o!

Code: Select all

x = 511, y = 1, rule = B3/S23
2bobo3b2obo7bo6b5ob3o4bo2bo2b2obo4bobo2bo2bo2bob3o3bo2b2o2b2obo2bo3bob
obo2b2o2b2o4b2o2bob3obo3b2o2bo3bo3bobobob2o8b5obobobo3b2obo2b2o2bob2o
2bobo6b2o4b3o2bo4bo3bo4bob4ob7obobo2b3ob2obo2b4ob5o7b5ob4o2bob2ob3o2bo
bob7ob4obo4bo3bo4bo2b3o4b2o6bobo2b2obo2b2o2bob2o3bobobob5o8b2obobobo3b
o3bo2b2o3bob3obo2b2o4b2o2b2o2bobobo3bo2bob2o2b2o2bo3b3obo2bo2bo2bobo4b
ob2o2bo2bo4b3ob5o6bo7bob2o3bobo!

Code: Select all

x = 511, y = 1, rule = B3/S23
obob2o3b3o2b3o4b2o2b2obobo2b4o2b2ob2ob2ob2o2bo3b2obo2bob2ob2obob5o5b2o
b2ob3obob6ob2o5b4o3bob3o2b2obo2bob2o3b5obo2bob2o4bo4bobobo3bo3bobob3ob
2o3b5obobobo2bob2ob6o2b3ob3ob2o3bob4ob3o3b3o8bob4ob7ob4obo8b3o3b3ob4ob
o3b2ob3ob3o2b6ob2obo2bobobob5o3b2ob3obobo3bo3bobobo4bo4b2obo2bob5o3b2o
bo2bob2o2b3obo3b4o5b2ob6obob3ob2ob2o5b5obob2ob2obo2bob2o3bo2b2ob2ob2ob
2o2b4o2bobob2o2b2o4b3o2b3o3b2obobo!

Code: Select all

x = 511, y = 1, rule = B3/S23
6o3bo2bobo4bo4bo3b5o3bob4o4bo4bo2b4o2b2ob3o2b2o2b3ob2o3b5obo5bo4bobo4b
2o2b2o4bobo3bob2o2bobo2bob3obo2b10ob2obob3obobobo2b4ob4o2b3o2b3o2b5o2b
o5b2o3bobob3obobo4b3obob3ob5o5b2obo2b3o2b5o2b3o2bob2o5b5ob3obob3o4bobo
b3obobo3b2o5bo2b5o2b3o2b3o2b4ob4o2bobobob3obob2ob10o2bob3obo2bobo2b2ob
o3bobo4b2o2b2o4bobo4bo5bob5o3b2ob3o2b2o2b3ob2o2b4o2bo4bo4b4obo3b5o3bo
4bo4bobo2bo3b6o!

This symmetry behaves differently than D4_+1, even more than I expected to be.
Here are a few interesting reactions from the soups:

Code: Select all

x = 33, y = 41, rule = B3/S23
9bo13bo$9b2o11b2o$8bo2bo9bo2bo$9bobo9bobo$b2o6b2o11b2o6b2o$obo27bobo$b
o29bo28$bo29bo$obo27bobo$b2o6b2o11b2o6b2o$9bobo9bobo$8bo2bo9bo2bo$9b2o
11b2o$9bo13bo!

This provides a synthesis that even I could put together:

Code: Select all

x = 10, y = 7, rule = B3/S23
2o$obo$3bo5bo$o2bo5bo$3bo5bo$obo$2o!

[yujh]

Also, why can't you upload results to Catagolue?

1. I don’t have the real apgsearch!
2. I can’t access catagolue or gol.hatsya.uk.co

[wwei23]

2. I can’t access catagolue or gol.hatsya.uk.co

I honestly can't tell if it's a typo or not, but just in case, try gol.hatsya.co.uk instead.

[yujh]

2. I can’t access catagolue or gol.hatsya.uk.co

I honestly can't tell if it's a typo or not, but just in case, try gol.hatsya.co.uk instead.

typo.

[PkmnQ]

How am I supposed to read this symmetry?

[wwei23]

How am I supposed to read this symmetry?

1. Grab the equivalent C1 soup.
2. Remove all $
3. Change the header so that x=256 instead of 16.
4. Paste the modified soup at x=0.
5. Paste the modified soup's reflection at x=255.