User:Muzik/New replicator collection/Fixed periods/Periods 1-X
Period 1
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (1,0)c/1 | x = 1, y = 2, rule = B2a/S
o$o! |
x = 7, y = 2, rule = B2a/S
obo3bo$obo3bo! |
2 |
Period 2
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (2,0)c/2 | x = 1, y = 3, rule = B2a3i/S2i
o$o$o! |
x = 13, y = 3, rule = B2a3i/S2i
o3bo7bo$o3bo7bo$o3bo7bo! |
3 |
| (1,0)c/2 | x = 1, y = 4, rule = B2e3i/S1e2k
o$o$o$o! |
x = 7, y = 4, rule = B2e3i/S1e2k
obo3bo$obo3bo$obo3bo$obo3bo! |
4 |
Period 3
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (3,0)c/3 | x = 3, y = 2, rule = B2ac/S
obo$obo! |
x = 21, y = 2, rule = B2ac/S
obo3bobo9bobo$obo3bobo9bobo! |
4 |
| (1,0)c/3 | x = 1, y = 5, rule = B3aei6i/S1e2ik4a
o$o$o$o$o! |
x = 7, y = 5, rule = B3aei6i/S1e2ik4a
obo3bo$obo3bo$obo3bo$obo3bo$obo3bo! |
5 |
Period 4
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (4,0)c/4 | x = 1, y = 3, rule = B2a3i5i/S2i
o$o$o! |
x = 25, y = 3, rule = B2a3i5i/S2i
o7bo15bo$o7bo15bo$o7bo15bo! |
3 |
| (2,0)c/4 | x = 2, y = 5, rule = B3ainr4ai/S02ae3a5i
2o$2o$2o$2o$2o! |
x = 14, y = 5, rule = B3ainr4ai/S02ae3a5i
2o2b2o6b2o$2o2b2o6b2o$2o2b2o6b2o$2o2b2o6b2o$2o2b2o6b2o! |
10 |
| (1,0)c/4 | x = 1, y = 4, rule = B2ak3e4i5y/S1c2ci3y4t6a8
o$o$o$o! |
x = 7, y = 4, rule = B2ak3e4i5y/S1c2ci3y4t6a8
obo3bo$obo3bo$obo3bo$obo3bo! |
4 |
Period 5
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (2,0)c/5 | x = 1, y = 5, rule = B2e3eij5ey6i/S12ak5y6i
o$o$o$o$o! |
x = 13, y = 5, rule = B2e3eij5ey6i/S12ak5y6i
o3bo7bo$o3bo7bo$o3bo7bo$o3bo7bo$o3bo7bo! |
5 |
Period 6
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (6,0)c/6 | x = 7, y = 2, rule = B2acn3q4i/S01c2kn
o5bo$o5bo! |
x = 43, y = 2, rule = B2acn3q4i/S01c2kn
o5bo5bo5bo17bo5bo$o5bo5bo5bo17bo5bo! |
4 |
| (4,0)c/6 | x = 3, y = 5, rule = B2aci3ej6c/S1c2i3er4cy
obo$bo$bo$bo$obo! |
x = 27, y = 5, rule = B2aci3ej6c/S1c2i3er4cy
obo5bobo13bobo$bo7bo15bo$bo7bo15bo$bo7bo15bo$obo5bobo13bobo! |
7 |
| (3,0)c/6 | x = 4, y = 7, rule = B2kn3-n4cet5jr6e/S2-c3-aekn4einq5cnr6-kn
4o$o2bo$4o2$4o$o2bo$4o! |
x = 22, y = 7, rule = B2kn3-n4cet5jr6e/S2-c3-aekn4einq5cnr6-kn
4o2b4o8b4o$o2bo2bo2bo8bo2bo$4o2b4o8b4o2$4o2b4o8b4o$o2bo2bo2bo8bo2bo$4o 2b4o8b4o! |
20 |
| (2,2)c/6 | x = 5, y = 5, rule = B3aijn4ar/S2aei3ijn45
2b2o$b2obo$2ob2o$ob2o$b2o! |
x = 17, y = 17, rule = B3aijn4ar/S2aei3ijn45
2b2o$b2obo$2ob2o$ob2o$b2o3b2o$5b2obo$4b2ob2o$4bob2o$5b2o4$14b2o$13b2ob o$12b2ob2o$12bob2o$13b2o! |
14 |
| (1,0)c/6 | x = 1, y = 5, rule = B2ek3aeiy4ekr5y6i/S01e2a3aeky4ay5e6i
o$o$o2$o! |
x = 7, y = 5, rule = B2ek3aeiy4ekr5y6i/S01e2a3aeky4ay5e6i
obo3bo$obo3bo$obo3bo2$obo3bo! |
4 |
Period 7
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (3,0)c/7 | x = 4, y = 5, rule = B2n34cew5c/S238
b2o$o2bo$o2bo$o2bo$b2o! |
x = 22, y = 5, rule = B2n34cew5c/S238
b2o4b2o10b2o$o2bo2bo2bo8bo2bo$o2bo2bo2bo8bo2bo$o2bo2bo2bo8bo2bo$b2o4b 2o10b2o! |
10 |
Period 8
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (8,0)c/8 | x = 3, y = 2, rule = B2ack3q/S
obo$obo! |
x = 27, y = 2, rule = B2ack3q/S
obo5bobo13bobo$obo5bobo13bobo! |
4 |
| (4,0)c/8 | x = 5, y = 9, rule = B3-ckr5y/S2-i3-aek4ci5c
2bo$b3o$2ob2o$b3o2$b3o$2ob2o$b3o$2bo! |
x = 29, y = 9, rule = B3-ckr5y/S2-i3-aek4ci5c
2bo7bo15bo$b3o5b3o13b3o$2ob2o3b2ob2o11b2ob2o$b3o5b3o13b3o2$b3o5b3o13b 3o$2ob2o3b2ob2o11b2ob2o$b3o5b3o13b3o$2bo7bo15bo! |
22 |
| (2,2)c/8 | x = 4, y = 4, rule = B2-ak3-jnqr/S15678
2bo$3bo$o$bo! |
x = 16, y = 16, rule = B2-ak3-jnqr/S15678
2bo$3bo$o$bo$6bo$7bo$4bo$5bo5$14bo$15bo$12bo$13bo! |
4 |
Period 9
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (4,0)c/9 | x = 3, y = 4, rule = B2e3iy4j7e/S23-r
bo$obo$obo$bo! |
x = 27, y = 4, rule = B2e3iy4j7e/S23-r
bo7bo15bo$obo5bobo13bobo$obo5bobo13bobo$bo7bo15bo! |
6 |
Period 10
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (4,0)c/10 | x = 5, y = 6, rule = B3-eny4q5acek6cn7e8/S2-ci3-ceky4ai5cq6ck
2bo$bobo$o3bo$o3bo$bobo$2bo! |
x = 29, y = 6, rule = B3-eny4q5acek6cn7e8/S2-ci3-ceky4ai5cq6ck
2bo7bo15bo$bobo5bobo13bobo$o3bo3bo3bo11bo3bo$o3bo3bo3bo11bo3bo$bobo5bo bo13bobo$2bo7bo15bo! |
10 |
| (2,0)c/10 | x = 1, y = 5, rule = B2ae3ejr4int5ei6i/S2aik3i4c5j6c
o$o$o$o$o! |
x = 13, y = 5, rule = B2ae3ejr4int5ei6i/S2aik3i4c5j6c
o3bo7bo$o3bo7bo$o3bo7bo$o3bo7bo$o3bo7bo! |
5 |
Period 11
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (5,0)c/11 | x = 3, y = 7, rule = B2e3einy4ak5ijq7c/S1c2-ai3-ceky4ejny5ceqr6akn7e
bo$obo$bo2$bo$obo$bo! |
x = 33, y = 7, rule = B2e3einy4ak5ijq7c/S1c2-ai3-ceky4ejny5ceqr6akn7e
bo9bo19bo$obo7bobo17bobo$bo9bo19bo2$bo9bo19bo$obo7bobo17bobo$bo9bo19bo! |
10 |
| (4,0)c/11 | x = 4, y = 5, rule = B2n3/S23-q4n
b2o$o2bo$o2bo$o2bo$b2o! |
x = 34, y = 5, rule = B2n3/S23-q4n
b2o8b2o18b2o$o2bo6bo2bo16bo2bo$o2bo6bo2bo16bo2bo$o2bo6bo2bo16bo2bo$b2o 8b2o18b2o! |
10 |
Period 12
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (5,0)c/12 | x = 7, y = 5, rule = B3-y7/S2-i3-c4kqt
2b3o$bobobo$o2bo2bo$bobobo$2b3o! |
x = 37, y = 5, rule = B3-y7/S2-i3-c4kqt
2b3o7b3o17b3o$bobobo5bobobo15bobobo$o2bo2bo3bo2bo2bo13bo2bo2bo$bobobo 5bobobo15bobobo$2b3o7b3o17b3o! |
15 |
| (2,2)c/12 | x = 5, y = 5, rule = B3-ey6n/S23-k
2b3o$bo2bo$o3bo$o2bo$3o! |
x = 17, y = 17, rule = B3-ey6n/S23-k
2b3o$bo2bo$o3bo$o2bo$3o3b3o$5bo2bo$4bo3bo$4bo2bo$4b3o4$14b3o$13bo2bo$ 12bo3bo$12bo2bo$12b3o! |
12 |
Period 13
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (4,0)c/13 | x = 1, y = 5, rule = B368/S12578
o$o$o$o$o! |
x = 25, y = 5, rule = B368/S12578
o7bo15bo$o7bo15bo$o7bo15bo$o7bo15bo$o7bo15bo! |
5 |
| (2,2)c/13 | x = 6, y = 6, rule = B2i3-kq4j6ci8/S234j
3b3o$5bo$5bo$o$o$3o! |
x = 18, y = 18, rule = B2i3-kq4j6ci8/S234j
3b3o$5bo$5bo$o$o6b3o$3o6bo$9bo$4bo$4bo$4b3o3$15b3o$17bo$17bo$12bo$12bo $12b3o! |
10 |
Period 14
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (4,0)c/14 | x = 3, y = 2, rule = B3/S2-c3-j5-cejk
3o$3o! |
x = 27, y = 2, rule = B3/S2-c3-j5-cejk
3o5b3o13b3o$3o5b3o13b3o! |
6 |
Period 15
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (5,5)c/15 | x = 9, y = 9, rule = B2-a3/S2ce
bo$ob2o$bo$bo3bo$4bo$3bo3bo$7bo$5b2obo$7bo! |
x = 39, y = 39, rule = B2-a3/S2ce
bo$ob2o$bo$bo3bo$4bo$3bo3bo$7bo$5b2obo$7bo2$11bo$10bob2o$11bo$11bo3bo$ 14bo$13bo3bo$17bo$15b2obo$17bo12$31bo$30bob2o$31bo$31bo3bo$34bo$33bo3b o$37bo$35b2obo$37bo! |
10 |
| (3,0)c/15 | x = 3, y = 2, rule = B3/S2-c3-j5-cek
3o$3o! |
x = 21, y = 2, rule = B3/S2-c3-j5-cek
3o3b3o9b3o$3o3b3o9b3o! |
6 |
Period 16
| Velocity | Smallest known | Proof of strength | Minimum # of cells |
|---|---|---|---|
| (6,0)c/16 | x = 3, y = 4, rule = B3aceik5y/S23-n4aciqz
bo$obo$obo$bo! |
x = 39, y = 4, rule = B3aceik5y/S23-n4aciqz
bo11bo23bo$obo9bobo21bobo$obo9bobo21bobo$bo11bo23bo! |
6 |
| (4,0)c/16 | x = 3, y = 8, rule = B2i3-cekq4cej6kn/S2-i3-kq4ciqyz5ae
3o$obo$3o3$3o$obo$3o! |
x = 27, y = 8, rule = B2i3-cekq4cej6kn/S2-i3-kq4ciqyz5ae
3o5b3o13b3o$obo5bobo13bobo$3o5b3o13b3o3$3o5b3o13b3o$obo5bobo13bobo$3o 5b3o13b3o! |
16 |