(Fun writing) Let's prefer CGOL has just been discovered!

[tommyaweosme]

missing a p55?

Code: Select all

x = 20, y = 28, rule = B3/S23
18b2o$19bo$17bo$15bobo2$13bobo2$11bobo2$10b2o$8bo$8b2o2$8b2o$8bo$9bo$
8b2o4$5bo$5b2o$2obobob3o$ob2obobobo$6bo2b3o$7b2o3bo$9b3o$9bo!

(btw have they already discovered non-trivial and trivial differences or not. if they havent, i can just surprise them all with new periods XD)

[Para]

missing a p55?

Code: Select all

x = 20, y = 28, rule = B3/S23
18b2o$19bo$17bo$15bobo2$13bobo2$11bobo2$10b2o$8bo$8b2o2$8b2o$8bo$9bo$
8b2o4$5bo$5b2o$2obobob3o$ob2obobobo$6bo2b3o$7b2o3bo$9b3o$9bo!

(btw have they already discovered non-trivial and trivial differences or not. if they havent, i can just surprise them all with new periods XD)

P55 is already achievable with reflector loops and spark interactions.

Code: Select all

x = 20, y = 15, rule = B3/S23
9b2o$9bo8b2o$10bo3b3o2bo$9b2o6b2o$13bo$6bo6bo$11bo5b2o$5bo8b3o2bo$6b2o
2bo7b2o$b2obobo2bo$bob2obobobo$7bo2b3o$8b2o3bo$10b3o$10bo!

Besides, no cells in your repeater actually repeat with period 55, this is just a p5 and a p11 next to each other.

[ababa11e]

Okay, I was messing around with the small p6, and I found this reaction.

Code: Select all

x = 12, y = 14, rule = B3/S23
7bo$6bobob2o$10b2o3$4bo2bo$4bo$3bo4bo$2bobo2b2o$2obo3$o2bo$2b2o!

Combine it with this reaction i found later while messing around:

Code: Select all

x = 7, y = 3, rule = B3/S23
o$2b2ob2o$2b2ob2o!

BOOM! Smallest p18.

Code: Select all

x = 15, y = 20, rule = B3/S23
4bo$4obo$3obobo$5bobo$6bo$5b2o$5b2o3bo$5b2o2bobob2o$13b2o3$7bo2bo$7bo$
6bo4bo$5bobo2b2o$3b2obo3$3bo2bo$5b2o!

And you can swap the p6s for any SPARKers that make dots, so i used a p4 to make this, BOOM! New smallest p52:

Code: Select all

x = 26, y = 26, rule = B3/S23
13b2o$12bo2bo$10bo2bobo$14bo$10bob2o$11bo$3b3o$bob3o$obobo3b2o6b2o$o2b
o4b2o2bobob2o$b2o10bo$8b2o$8b2o$16b2o$16b2o$23b2o$8b2ob2o3b2o4bo2bo$8b
2ob2o3b2o5bobo$21b2obo$21b3o$6bobo12b2o$5bo$6bo2bo$6bobobo$7bo2bo$8b2o
!

Remember that p12 i found? Well i did a short search on my search programme and got this p12 Pi reflector.

Code: Select all

x = 24, y = 25, rule = B3/S23
3b2o10bo$3b2o9bobo2$14bo$14b2o$11b5o$11b2ob2o5b2o$14bo6bobo$18b2obobo
$18bobobo$20bo$3o9bobo3bo2bo$o2bo8bo2bo5bo$4bo7bobo2bo3bo$o2bo13bo3bo
$3o18bo$18bo2bo$13bo6bo$10b2ob2o3bobobo$10b5o3b2obobo$13b2o6bobo$13bo
7b2o2$13bobo$14bo!

If you put 4 of them together, BOOM! you get a p168, which i'll call Grape III.

Code: Select all

x = 59, y = 59, rule = B3/S23
14b2o4b2o4b2o$13bo2bobo4bobo2bo$13b3o10b3o$16b2o6b2o$15bo2b6o2bo$15b2o
8b2o2$8bo29b2o10bo$7bo3b3o6bo9bo7b2o9bobo$8bob5o10b3o3bo$12bo3bo5bob5o
bo18bo$12b2o4b3o5bo22b2o$12b2o4b3o4b2o19b5o$19bo5b2o19b2ob2o5b2o$49bo
6bobo$53b2obobo$53bobobo$55bo$35b3o9bobo3bo2bo$7b2o26bo2bo8bo2bo5bo$7b
2o30bo7bobo2bo3bo$35bo2bo13bo3bo$35b3o18bo$53bo2bo$48bo6bo$45b2ob2o3b
obobo$45b5o3b2obobo$9bo38b2o6bobo$8bobo37bo7b2o2$b2o7bo37bobo$obo6b2o
38bo$obob2o3b5o$bobobo3b2ob2o$3bo6bo$2bo2bo$2bo$2bo3bo$2bo3bo2bobo38b
2o$2bo5bo2bo38b2o$2bo2bo3bobo$3bo$bobobo$obob2o$obo6bo$b2o5b2ob2o19b2o
5bo$8b5o19b2o4b3o4b2o$8b2o22bo5b3o4b2o$9bo18bob5obo5bo3bo$27bo3b3o10b
5obo$7bobo9b2o7bo9bo6b3o3bo$8bo10b2o29bo2$32b2o8b2o$32bo2b6o2bo$33b2o
6b2o$30b3o10b3o$30bo2bobo4bobo2bo$31b2o4b2o4b2o!

[WhiteHawk]

Okay, I was messing around with the small p6, and I found this reaction.

Code: Select all

x = 12, y = 14, rule = B3/S23
7bo$6bobob2o$10b2o3$4bo2bo$4bo$3bo4bo$2bobo2b2o$2obo3$o2bo$2b2o!

Combine it with this reaction i found later while messing around:

Code: Select all

x = 7, y = 3, rule = B3/S23
o$2b2ob2o$2b2ob2o!

BOOM! Smallest p18.

Code: Select all

x = 15, y = 20, rule = B3/S23
4bo$4obo$3obobo$5bobo$6bo$5b2o$5b2o3bo$5b2o2bobob2o$13b2o3$7bo2bo$7bo$
6bo4bo$5bobo2b2o$3b2obo3$3bo2bo$5b2o!

And you can swap the p6s for any SPARKers that make dots, so i used a p4 to make this, BOOM! New smallest p52:

Code: Select all

x = 26, y = 26, rule = B3/S23
13b2o$12bo2bo$10bo2bobo$14bo$10bob2o$11bo$3b3o$bob3o$obobo3b2o6b2o$o2b
o4b2o2bobob2o$b2o10bo$8b2o$8b2o$16b2o$16b2o$23b2o$8b2ob2o3b2o4bo2bo$8b
2ob2o3b2o5bobo$21b2obo$21b3o$6bobo12b2o$5bo$6bo2bo$6bobobo$7bo2bo$8b2o
!

Remember that p12 i found? Well i did a short search on my search programme and got this p12 Pi reflector.

Code: Select all

x = 24, y = 25, rule = B3/S23
3b2o10bo$3b2o9bobo2$14bo$14b2o$11b5o$11b2ob2o5b2o$14bo6bobo$18b2obobo
$18bobobo$20bo$3o9bobo3bo2bo$o2bo8bo2bo5bo$4bo7bobo2bo3bo$o2bo13bo3bo
$3o18bo$18bo2bo$13bo6bo$10b2ob2o3bobobo$10b5o3b2obobo$13b2o6bobo$13bo
7b2o2$13bobo$14bo!

If you put 4 of them together, BOOM! you get a p168, which i'll call Grape III.

Code: Select all

x = 59, y = 59, rule = B3/S23
14b2o4b2o4b2o$13bo2bobo4bobo2bo$13b3o10b3o$16b2o6b2o$15bo2b6o2bo$15b2o
8b2o2$8bo29b2o10bo$7bo3b3o6bo9bo7b2o9bobo$8bob5o10b3o3bo$12bo3bo5bob5o
bo18bo$12b2o4b3o5bo22b2o$12b2o4b3o4b2o19b5o$19bo5b2o19b2ob2o5b2o$49bo
6bobo$53b2obobo$53bobobo$55bo$35b3o9bobo3bo2bo$7b2o26bo2bo8bo2bo5bo$7b
2o30bo7bobo2bo3bo$35bo2bo13bo3bo$35b3o18bo$53bo2bo$48bo6bo$45b2ob2o3b
obobo$45b5o3b2obobo$9bo38b2o6bobo$8bobo37bo7b2o2$b2o7bo37bobo$obo6b2o
38bo$obob2o3b5o$bobobo3b2ob2o$3bo6bo$2bo2bo$2bo$2bo3bo$2bo3bo2bobo38b
2o$2bo5bo2bo38b2o$2bo2bo3bobo$3bo$bobobo$obob2o$obo6bo$b2o5b2ob2o19b2o
5bo$8b5o19b2o4b3o4b2o$8b2o22bo5b3o4b2o$9bo18bob5obo5bo3bo$27bo3b3o10b
5obo$7bobo9b2o7bo9bo6b3o3bo$8bo10b2o29bo2$32b2o8b2o$32bo2b6o2bo$33b2o
6b2o$30b3o10b3o$30bo2bobo4bobo2bo$31b2o4b2o4b2o!

Awesome discoveries!

Looking into possible pertubations inspired by your double-square reaction, after a while I found this interesting square reaction with a still-life which I can't find the name of - if it's truly unnamed, i'd like to suggest the name eightbox, as it is box-like with eight cells.

Code: Select all

x = 15, y = 12, rule = B3/S23
3b2o$3b2o2$14bo$3b2o4b2o2bo$2bo2bo2bo2bo$2bo2bo2bo2bo$o2b2o4b2o3$9b2o
$9b2o!

It can be perturbed by the p10 and one of the small p8 repeaters, below are a p20 and p24

Code: Select all

x = 35, y = 26, rule = B3/S23
2b2o$bo2bob2o$bob2obo$2o2bobo22b2o$2bo3b2o17b2obo2bo$2bobo4bo16bob2ob
o$3b4o19bobo2b2o$6bo3bo14b2o3bo$3b2o8b2o8bo4bobo$3bo5bo3b2o11b4o$4b4o
14bo3bo$28b2o$4b4o5b2o4b2o2bo5bo$3bo5bo2bo2bo2bo2bo3b4o$3b2o7bo2bo2bo
2bo$6bo3bo2b2o4b2o6b4o$3b4o18bo5bo$2bobo4bo20b2o$2bo3b2o11b2o3bo3bo$2o
2bobo12b2o7b4o$bob2obo18bo4bobo$bo2bob2o19b2o3bo$2b2o24bobo2b2o$28bob
2obo$27b2obo2bo$31b2o!

Code: Select all

x = 22, y = 20, rule = B3/S23
19b2o$19b2o2$20bo$7b2o10bobo$7b2o9bo2bo$17bo2bo2$7b2o4b2o2bo2bo$6bo2b
o2bo2bo3b2o$b2o3bo2bo2bo2bo$bo2bo2b2o4b2o2$bo2bo$o2bo9b2o$obo10b2o$bo
2$b2o$b2o!

Amazingly, your new p18 can also support the reaction (p36), making it a reaction supported by another reaction.

Code: Select all

x = 42, y = 30, rule = B3/S23
23b2o$23b2o$23b2o$23bo13bo2bo$22bobo12bo$23bobob3o6bo4bo$24bob4o5bobo
2b2o$25bo7b2obo$17b2o$17b2o$29b2o2bo2bo$29b2o4b2o$17b2o4b2o$11b2o3bo2b
o2bo2bo3b2o$11b2o3bo2bo2bo2bo3b2o$17b2o4b2o$5b2o4b2o$5bo2bo2b2o$23b2o
$23b2o$5bob2o7bo$2o2bobo5b4obo$o4bo6b3obobo$4bo12bobo$bo2bo13bo$17b2o
$17b2o$17b2o!

I now have 2 questions: (1) Are there other repeaters which are able to perturb either the double squares or 2 squares on 2 eightboxes, and (2) are there other constellations which can be similarly perturbed?

EDIT: Just noticed that attachment to starline found a while ago works here too (p30)!

Code: Select all

x = 42, y = 23, rule = B3/S23
32bo4bo$30b2ob4ob2o$32bo4bo2$18b2o$18b2o2$30b3o4b3o$18b2o4b2o2b6o2b6o
$17bo2bo2bo2bo3b3o4b3o$4b3o4b3o3bo2bo2bo2bo$2b6o2b6o2b2o4b2o$4b3o4b3o
2$24b2o$24b2o2$6bo4bo$4b2ob4ob2o$6bo4bo!

New question: does it work at odd periods?

[ababa11e]

I did a search for sparking p7s, and got this.

Code: Select all

x = 14, y = 13, rule = B3/S23
4bo$3bobo$3bobo$2obob2o$o2bo4bo$2bob3o2bo$b2obo$2bo2bo$2bobobobo$3b2o
bobobo$5bo2bob3o$5bobo5bo$6bo5b2o!

It turns out you CAN use it to support the reaction you made just BARELY to make this p21.

Code: Select all

x = 32, y = 18, rule = B3/S23
18b2o5bo$18bo5bobo$19b3obo2bo$12b2o7bobobob2o$12b2o9bobobobo$4bo21bo2b
o$3bobo21bob2o$3bobo6b2o4b2o2bo2b3obo$2obob2o4bo2bo2bo2bo2bo4bo2bo$o2b
o4bo2bo2bo2bo2bo4b2obob2o$2bob3o2bo2b2o4b2o6bobo$b2obo21bobo$2bo2bo21b
o$2bobobobo9b2o$3b2obobobo7b2o$5bo2bob3o$5bobo5bo$6bo5b2o!

Other things:
p28 [was searching for it for a WHILE]:

Code: Select all

x = 35, y = 20, rule = B3/S23
19b2o$18bobo$7b2o7b3o7b2o$2o5b2o6bo3bo6b2o5b2o$bo13b2ob2o13bo$bobo27bo
bo$2b2o27b2o$6b3o3b3o5b3o3b3o$6bobo3bobo5bobo3bobo$6b3o3b3o5b3o3b3o4$
2b2o27b2o$bobo27bobo$bo13b2ob2o13bo$2o5b2o6bo3bo6b2o5b2o$7b2o7b3o7b2o$
18bobo$19b2o!

P24:

Code: Select all

x = 20, y = 20, rule = B3/S23
7b2o$7b2o4$11bo$6bo4b2o$2o3bobo5bo$2o2b2obo5b2o$5b2o2$18b2o$11b2o5b2o$
10bo2bo$10b3o$11bo3$11b2o$11b2o!

[hotcrystal0]

Other things:
p28 [was searching for it for a WHILE]:

Code: Select all

x = 35, y = 20, rule = B3/S23
19b2o$18bobo$7b2o7b3o7b2o$2o5b2o6bo3bo6b2o5b2o$bo13b2ob2o13bo$bobo27bo
bo$2b2o27b2o$6b3o3b3o5b3o3b3o$6bobo3bobo5bobo3bobo$6b3o3b3o5b3o3b3o4$
2b2o27b2o$bobo27bobo$bo13b2ob2o13bo$2o5b2o6bo3bo6b2o5b2o$7b2o7b3o7b2o$
18bobo$19b2o!

This repeater can be monomerized (isomer terms aren’t changed) using two Mignons:

Code: Select all

x = 22, y = 16, rule = B3/S23
7b2o$2o5b2o8bobo$bo14bo$bobo13bo2bo$2b2o13bobobo$6b3o3b3o3bo2bo$6bobo
3bobo4b2o$6b3o3b3o2$19b2o$18bo2bo$2b2o12bo2bobo$bobo16bo$bo14bob2o$2o
5b2o8bo$7b2o!

[WhiteHawk]

This repeater can be monomerized (isomer terms aren’t changed) using two Mingons:

Code: Select all

x = 22, y = 16, rule = B3/S23
7b2o$2o5b2o8bobo$bo14bo$bobo13bo2bo$2b2o13bobobo$6b3o3b3o3bo2bo$6bobo
3bobo4b2o$6b3o3b3o2$19b2o$18bo2bo$2b2o12bo2bobo$bobo16bo$bo14bob2o$2o
5b2o8bo$7b2o!

4 mignons

Code: Select all

x = 24, y = 14, rule = B3/S23
2bobo13bobo$5bo11bo$bo2bo13bo2bo$obobo13bobobo$o2bo3b3o3b3o3bo2bo$b2o
4bobo3bobo4b2o$7b3o3b3o2$b2o17b2o$o2bo15bo2bo$obo2bo11bo2bobo$bo19bo$
2b2obo11bob2o$4bo13bo!

[hotcrystal0]

I’ve just set up a search, and what’s this tiny period-6 emitter?

Code: Select all

x = 10, y = 9, rule = B3/S23
3bo$2bobo$2bob2o2bo$2o2bo2b2o$bobo$bob5obo$2bo3bob2o$3bo$2b2o!

Edit: I’ve searched more, and here’s a similar one that’s bigger:

Code: Select all

x = 12, y = 19, rule = B3/S23
2bo$bob2obo2bo$2bo3b4o$3b2o$2bo2b3o$2ob2o2bo$2o4bo3b2o$2bo3bobo2bo$3b
2obob2o$4b3obo$3b2obobo$2bobob2o$bo2b2o$o$ob5obo$bo5b2o$2b4o$4bob3o$8b
o!

[hotcrystal0]

sorry for doublepost
New transformer, found with customperturb:

Code: Select all

x = 23, y = 16, rule = B3/S23
7bo13b2o$5b3o12bobo$5bobo12bo$5bo13b2o$15b2o$15bobo$17bo$16bo3bo$2o15b
4o$o2bob2o$b3obobo11b2o$5bobo11b2o$b5ob3o$bo4bo3bo$4bobo2b2o$4b2o!

[WhiteHawk]

sorry for doublepost
New transformer, found with customperturb:

Code: Select all

x = 23, y = 16, rule = B3/S23
7bo13b2o$5b3o12bobo$5bobo12bo$5bo13b2o$15b2o$15bobo$17bo$16bo3bo$2o15b
4o$o2bob2o$b3obobo11b2o$5bobo11b2o$b5ob3o$bo4bo3bo$4bobo2b2o$4b2o!

OOC: How are our gun periods coming along? Can someone construct a proof to show how many periods can currently be constructed?

EDIT: (in character) I have a proof as to the existence of ant factories with all periods higher than 69 using Transformers (previous record was 386), and have made strides to discover factories of lower periods.

According to Para's transformer collection, there are currently three known 4-turners, four 4-advancers, and two 4-flippers which can be added to each other to make 3 more advancers. In order to get a factory of a certain period, it must be noted that there is a certain "repeat time" where the transformer's prior signal is out of the way enough for the next signal to enter. For most Ant-making reactions involving the 4, the minimum repeat time is 69, as the four's first emitted ant - FEA for short - needs that much time to escape. Below is an example of what that means using the 4 squares 4 turner.

Code: Select all

x = 168, y = 134, rule = LifeHistory
28$32.5D3.6D$32.D7.D4.D66.5D2.5D$32.D7.D4.D66.D6.D3.D$32.D7.6D66.D6.D
3.D$32.5D3.D4.D66.D6.D3.D$32.D3.D3.D4.D66.5D2.5D$32.D3.D3.D4.D66.D3.D
6.D$32.5D3.6D66.D3.D6.D$112.5D2.5D9$29.5D7.D6.D3.D55.D5.D3.5D2.D3.D$29.
D10.D.D5.D3.D55.D5.D5.D4.2D2.D$29.D10.D.D5.D3.D55.D5.D5.D4.D.D.D$29.5D
5.D3.D4.D3.D55.D2.D2.D5.D4.D2.2D$29.D9.5D4.D3.D55.D2.D2.D5.D4.D3.D$29.
D8.D5.D3.D3.D55.D.3D.D5.D4.D3.D$29.D8.D5.D3.D3.5D51.3D.3D3.5D2.D3.D17$
57.2A$57.2A5.2A69.2A$64.2A69.2A5.2A$142.2A2$33.2A27.2E$33.2A27.2E47.2A
27.2E$68.2A41.2A27.2E$68.2A76.2A$27.2A117.2A$27.2A76.2A$31.2E72.2A$31.
2E15.C60.2E$48.C.C58.2E15.C$48.3C75.C.C$50.C75.3C$26.2A100.C$26.2A76.
2A$104.2A4$60.3D$60.D77.3D$39.3D17.3D76.D$39.ACA75.3D17.3D$38.C2DBA75.
C$38.2B.2B73.2CD2A$37.A2B.B74.2A.2A$38.5A72.3A.A$41.A76.3A$73.2A$73.2A
76.2A$50.D100.2A$50.3D75.D$50.D.D75.3D$40.2A10.D15.2E58.D.D$40.2A26.2E
48.2A10.D15.2E$37.A34.2A44.2A26.2E$36.A.BA32.2A41.A34.2A$31.2A4.3BA73.
A.A33.2A$31.2A5.3B68.2A4.3A$37.CD2B25.2A41.2A5.3A$35.B.CE.2BA23.2A47.
DE2A25.2A$37.B2.ABA70.A.DE.3A23.2A$115.A3.2A$34.B2AB$35.2A5.2A68.A2.A
$42.2A69.2A5.2A$120.2A!

However, 69 is only the minimum, and other transformers can have higher repeat times. For example, the p116 forward 4 transformer 116FF.1 can't repeat for any less than 138 periods due to the square-ant collision needed to remove the former object, current making 116FF.1 useless except for repeaters and factories of p138 or higher - Can someone find a way to delete the square and the ant that eventually does?

Code: Select all

x = 101, y = 128, rule = LifeHistory
8$32.D5.D3.4D3.4D10.D3.4D3.5D$33.D3.D4.D6.D13.D6.D3.D3.D$34.D.D5.D6.D
7.4D2.D6.D3.D3.D$35.D6.3D4.4D10.D3.4D3.5D$35.D6.D9.D10.D6.D3.D3.D$35.
D6.4D3.4D10.D6.D3.D3.D$63.D3.4D3.5D11$31.A$31.3A29.A$34.A28.3A$33.2A31.
A$65.2A7$59.2A$58.BAB2A$55.7BA$23.C29.7BABA$23.C.C27.2BCBA2B2A$23.3C26.
3BCAD4B25.D$25.C27.2BDCD4B25.D.D$53.4BD4B25.3D$54.7B28.D4$48.2A$42.2A
5.A30.2A$42.A.A.3A25.2A5.A$35.2A7.A.A27.A.A.3A$35.2A7.2A21.2A7.A.A$67.
2A7.2A18$67.2A7.2A$35.2A7.2A21.2A7.A.A$35.2A7.A.A27.A.A.3A$42.A.A.3A25.
2A5.A$42.2A5.A30.2A$48.2A4$54.7B28.D$53.4BD4B2.2B21.3D$25.C27.2B3D4B2.
2B21.D.D$23.3C22.2B4.BCAC4B.3B21.D$23.C.C22.2B4.BC4BA5B$23.C24.2B4.2B
A3B2A4B$48.2B5.6B2A3B$48.2B7.BA2BA4B$56.3B2A5B7$65.2A$33.2A31.A$34.A28.
3A$31.3A29.A$31.A11$36.D3.D5.5D$36.2D2.D5.D3.D9.D3.3D4.4D$36.D.D.D5.D
3.D9.D5.D7.D$36.D2.2D5.D3.D9.D5.D6.D$36.D3.D5.D3.D3.4D2.D3.3D5.D$36.D
3.D5.D3.D9.D5.D5.D$36.D3.D5.5D9.D3.3D5.D!

Even so, by using this principle for transformers which can support reactions at RT=69, here is an example of a p69 ant factory. p70 and higher factories can be made using similar methods, as can complete 4 channels with lower repeat times that don't make ants. Note that it is better to use either 112FF.1 or 156FF.1 as turners rather than 4-squares/64FF.1 turner due to the repeat time issue. Will come with lower periods soon.

Code: Select all

x = 827, y = 830, rule = LifeHistory
748.B3$630.2A48.2A$607.2A22.A25.2A22.A25.2A19.A$607.A23.A.AB22.A23.A.
AB22.A11.A7.A.A$605.A.A24.2AB.B18.A.A24.2AB.B18.A.A11.3A4.2BAB$605.2A
27.4B17.2A27.4B17.2A15.A4.2B10.2A$634.4B46.2BAB33.2A5.4B7.A$536.B44.A
19.4B19.A9.5B35.A9.2B2AB12.4B4.B.7B3.3B3.6B4.A.A$567.2AB11.3A16.4B.3B
.B12.3A8.6B18.B.B12.3A8.BA2B2A11.4B.9B4A5.3B2.5B4.2A$567.AB15.A8.18B10.
A11.8B2.6B8.4B10.A11.A4BA2B2.12B2A6B2A3BA15B$565.A.A15.2A7.4BD11B2E2B
5.B3.2A9.14BD4BA6B2D2B5.B3.2A9.ABA2B3A6BD7BABA5BA5BA15B$563.B.2A16.5B
.B2.4B3D9B2E2B3.2BA5B10.13B3D9B2D2B3.8B10.3B2AB2A5B3D4B2ABA5BA3B2A10B
3A3B$564.B20.6B.4BCBC13B.4B3AB13.3BA3B.4BDBD9B3AB.8B13.3BA3B.4BDBD5B2A
6B2A2D13BABA4B5.2A$541.A21.B5.B.2BA4B7.11BABDA15BA4BA12.3BA11BD12BA9B
12.3B3A9BD6BA7BAED20B5.A$527.2A12.3A16.B4.6BA3BA2B3.B.9B2ABA2BA3B2.2B
.7B4A3BA11.2BA2BA2B2A9B2.2B.4BA10B11.19B2.2B3.21B3A3B2.BA.A$527.A16.A
8.7B2.14BA15BA2BA3B8.6B2AB2A6B8.3BA4BA8B8.17B8.17B11.2B2A6B2.B3.B.9B.
B2A$524.BABA15.2A7.4BD12B2A5B2A15B2A2B11.6BA5BA6B2.2B.3B2A3BA3BA2B11.
A18B2.2B.15B16.6B9.11B$523.2B2A16.B3AB.B2.4B3D10BA8BA14B2AB12.7B2A2BA
3BD13BA3BA2BAB12.A4BA9BD9B2A11B19.3B10.11B$522.4B19.3A3B.4BDBD10BA4BE
DA20B12.7B.BA2BDBDA12B.5B2AB13.4BA2B.4BDBD8BA2B2A.8B21.B8.2AB.9B$501.
A19.4B4.B.A2BA3B7.AB2A9BD11B3AB2DA2BA9B.7B11.13BDCDA8B2E2B3.8B10.BA2B
A8B3D8BAED2A3.8B19.2A6.A.AB2.7B$487.2A12.3A16.4B.4BA7BA3.B.ABA2B3A11B
2.2B3.6BA2B2A2.6B4.3B.B2A8.14BDB2A8B2E2B5.B3.2A9.3B3A8BD11B2EAB5.B3.2A
B19.A6.A5.8B$487.A16.A8.10B2A3BA9BA3BA4BA11B11.5B3A2B3.4B9.BA.A8.8B2.
18B10.A11.8B2.8B3.7B10.A18.3A6.2A4.8B$485.A.A15.2A7.4BD2B2A2B3A7B2A2B
A5BA2B3A2BA5B16.3BA2B5.5B10.A8.6B11.4B.3B.B12.3A8.6B11.B4.3B.B12.3A15.
A14.7B$485.2A16.5B.B2.4B2DCA4BABA17B3AB4A4B19.3B9.2A10.2A8.5B12.4B19.
A9.5B15.B19.A29.11B$482.4B19.6B.4BDBDAB2ABA9BDE21B20.B9.A21.4B14.3B29.
4B16.B50.11B$461.A19.4B4.B.7B7.13BDB2A3BA5BA2BEDA12B.7B20.2A9.3A18.4B
15.B30.4B67.11B$447.2AB11.3A16.4B.13B3.B.19B2.2B3.ABA2BABA3B2.6B4.3B.
B2A19.A11.A16.2AB.B19.2AB23.2AB.B19.2AB46.11B$447.AB15.A8.4BABA17B2A20B
11.10B3.4B9.BA.A15.3A28.A.AB21.A.A22.A.AB21.A.A44.2AB2.4B3CB$445.A.A15.
2A7.BA2BDABA17B3A17B16.6B5.5B10.A15.A30.A26.A22.A26.A43.A.AB3.4BC2B$445.
2A16.5B.B2.4B3D2A15B2ABA16B19.3B9.2A10.2A44.2A26.2A20.2A26.2A42.A6.2B
3C2B$442.4B19.6B.4BDBDA14B2E2AB2A16B20.B9.A178.2A7.6B$421.A19.4B4.B.7B
7.8BABABAD15B2DBABA9B.7B20.2A9.3A184.7B$407.2A12.3A16.4B.13B3.B.10B3A
BA2BAB2.2B3.9BAB2.6B4.3B.B2A19.A11.A184.8B$407.A16.A8.20B2A19BA3BA11.
10B3.4B9.BA.A15.3A198.8B$405.A.A15.2A7.4BD15BABA22B16.6B5.5B10.A15.A200.
8B$403.B.2A16.5B.B2.4B3D13BA23B19.3B9.2A10.2A214.6B.2B$402.4B19.3BA2B
.4BDBD13B2AEDBA19B20.B9.A212.A14.7B.B2A$367.4B10.A19.4B4.B.7B7.B2A10B
D15BDEABA10B.7B20.2A9.3A209.3A13.6B2.A$366.B2AB11.3A16.4B.2BA4BA5B3.B
.3B3A2B2A9B2.2B3.6B2ABAB2.6B4.3B.B2A19.A11.A212.A5.B4.8B3.3A$365.2BAB
15.A8.10B2A2BA4B2A2B3A6BA5B2A6B11.7BA2B3.4B9.BA.A15.3A224.2A3.4B.6B2E
B6.A$364.BABA15.2A7.4BD5BA5BA5BA11BA4BA5B16.6B5.5B10.A15.A226.16B2E2B
$330.B.B30.2B2A16.5B.B2.4B3D2B2A2BABA4B2A12BA3BA5B19.3B9.2A10.2A243.17B
$362.4B19.6B.4BDBD3B2A3BA6BDE12BA7BA20.B9.A255.17B9.2B$341.A19.4B4.B.
7B7.13BD4B3A5B2AB2DA12B.3BA3B20.2A9.3A253.13B13.B$327.2A12.3A16.4B.13B
3.B.19B2.2B3.2B2AB2A4B2.6B4.BAB.2BA19.A11.A255.12B$327.AB15.A8.28BA17B
11.10B3.4B9.2A.A15.3A270.10B$325.A.A15.2A7.BABADB2A19B2AB2A13B16.6B5.
5B10.A15.A272.11B$325.2A16.5B.B2.BA2B2CD20BA3BA12B19.3B9.2A10.2A288.2B
.7B$291.B30.4B19.6B.BA2BCADBA13B2E3BA17B20.B9.A301.BA9B$301.A19.4B4.B
.7B7.9B2A2BCBA13B2E4BABA6B.7B20.2A9.3A297.2B2A7B$287.2A12.3A16.4B.13B
3.B.19B2.2B3.11B2.6B4.3B.B2A19.A11.A297.BA2BA6B$287.A16.A8.24BA21B11.
10B3.4B9.BA.A15.3A310.2BABA6B$285.A.A15.2A7.4BD18B2AB2A17B16.6B5.5B10.
A15.A312.BC2DA3B2.B2A$285.2A16.5B.B2.4B3D16BA20B19.3B9.2A10.2A327.BAD
BA2B3.BA.A$305.6B.4BDBD15BDE3BA17B20.B9.A340.BADCD2B6.A$261.A19.4B4.B
.7B7.5BA3BA3BD15B2D3A10B.7B20.2A9.3A337.2B3AB7.2A$247.2A12.3A16.4B.5B
A4BABA3.B.5B2A2BA9B2.2B3.11B2.6B4.3B.B2A19.A11.A336.7B$247.A16.A8.13B
A4B2A4BA10BA3BA6B11.10B3.4B9.BA.A15.3A348.8B$245.A.A15.2A7.4BD8B2A4B3A
B3A10BA3BA4B16.6B5.5B10.A15.A349.8B$212.B30.2B2A16.5B.B2.4B3D5B2A6B2A
15B2A3B2A19.3B9.2A10.2A363.9B$242.4B19.6B.4BDBD6BA8B2D15B4A2B20.B9.A375.
2A2B.6B$221.A19.4B4.B.7B7.13BD7BA7B2E13B.2BA4B20.2A9.3A371.A.AB.7B14.
A$207.2A12.3A16.4B.13B3.B.19B2.2B3.3B4A4B2.6B4.3B.B2A19.A11.A371.A.B2.
6B13.3A$207.A16.A8.28BA17B11.2B3A5B3.4B9.BA.A15.3A383.2A4.8B4.B5.A$205.
A.A15.2A7.4BC23BABA14B16.6B5.5B10.A15.A392.B2E6B.4B3.2A$205.2A16.5B.B
2.3BACDC21BA2BA12B19.3B9.2A10.2A406.2B2E16B$202.4B19.6B.4BCBCA14B2E5B
2ABAB2A9B20.B9.A420.17B$181.A19.4B4.B.7B7.12BAD15B2E7B3ABAB.7B20.2A9.
3A418.17B$167.2A12.3A16.4B.13B3.B.19B2.2B3.11B2.BA2B2A4.3B.B2A19.A11.
A421.13B$167.A16.A8.46B11.10B3.B3A9.BA.A15.3A433.12B$165.A.A15.2A7.4B
D40B16.6B5.B3AB10.A15.A435.10B$165.2A16.5B.B2.4B3D17B3A17B19.3B9.2A10.
2A449.11B$164.2B19.6B.4BDAD15B2DA20B20.B9.A462.7B.2B$141.A22.B4.B.7B7.
7B2A2BABD15B2D2A11B.7B20.2A9.3A458.5B2A4B$127.2A12.3A21.11BAB3.B.8BAB
A8B2.2B3.11B2.6B4.3B.B2A19.A11.A459.4B2A5B$127.A16.A8.16B2A5BA14BA7B11.
10B3.4B9.BA.A15.3A472.3BA7B$125.A.A15.2A7.4BD11BABA5BA14B2ABA2B16.6B5.
5B10.A15.A474.3B3A5B$123.2B2A16.5B.B2.4B3D8B2ABA22B2AB19.3B9.2A10.2A487.
2AB2.BABA3DB$122.4B19.6B.4BDBD9B5AB2EA20B20.B9.A499.A.AB3.2A2BD2B$60.
2A39.A19.4B4.B.7B7.13BD10BA2BAB2EA12B.7B20.2A9.3A496.A6.2BC2D2B$37.2A
22.A25.2A12.3A16.4B.13B3.B.B2A16B2.2B3.B3A2B2A3B2.6B4.3B.B2A19.A11.A495.
2A7.BA4B$37.A23.A.AB22.A16.A8.5B2ABA21B3A13B11.4B2A2BAB3.4B9.BA.A15.3A
517.3BA3B$35.A.A24.2AB.B18.A.A15.2A7.4BDB4A20B2A6B2A5B16.B2AB2A5.5B10.
A15.A519.8B$35.2A27.4B17.2A16.5B.B2.4BDCD2BA21B2ABA3B3A3B19.B2A9.2A10.
2A535.8B$32.4B28.4B14.4B19.6B.4BDBC2A13B2E8B3A10B20.A9.A548.8B$11.A19.
4B19.A9.5B12.4B4.B.7B7.13BC2A13B2E9BA3B.7B20.2A9.3A544.6B.2B$11.3A16.
4B.3B.B12.3A8.6B11.4B.13B3.B.17BAB2.2B3.11B2.6B4.3B.B2A19.A11.A544.7B
.B2A$4.A9.A8.18B10.A11.8B2.46B11.10B3.4B9.BA.A15.3A558.6B2.A$4.3A6.2A
7.4BC11B2E2B5.B3.2A9.14BD21BA18B16.6B5.5B10.A15.A560.6B3.3A$7.A5.5B.B
2.4B3C9B2E2B3.8B10.13B3DBA16BA2BA15B19.3B9.2A10.2A575.6B5.A$6.2A7.6B.
4BCBC13B.8B13.7B.4BDBD15B2DB2A2BA15B20.B9.A587.8B$14.14BC22B12.13BABC
A14B2D4BA8B.7B20.2A9.3A583.8B$11.21B2.2B.15B11.9B2ABABA4B2.2B3.10BA2.
6B4.3B.B2A19.A11.A583.9B$11.18B8.17B8.10B2AB3AB11.10B3.4B9.BA.A15.3A596.
9B$8.19B11.19B2.2B.12B2AB16.6B5.5B10.A15.A597.10B$6.7BA12B12.11B4ADA21B
19.3B9.2A10.2A612.3B2D5B$5.6BABA12B13.7B.BA2BDBCA12B.8B21.B9.A619.2A3.
4B2D5B$5.5BA2BA4B2.8B10.9B2ABA3DA8B2E2B3.8B19.2A9.3A617.A3.11B$2.AB.5B
2A5B5.B3.2A9.12BABC2A9B2E2B5.B3.2A20.A11.A617.A.A6B2A4B12.B$.A.A6BA8B
7.A11.8B2.18B10.A18.3A631.2A2.4BABAB$2.A2B.B.6B3.2A8.3A8.6B11.4B.3B.B
12.3A15.A638.BA5B$3.B4.7B2.A11.A9.5B12.4B19.A656.ABA2B$7.7B4.3A18.4B14.
4B675.BA4B5.2A$7.7B6.A18.4B15.B2AB673.6B6.A$6.8B23.2AB.B17.A674.8B2.B
A.A$4.2AB.7B21.A.AB20.3A670.9B2.B2A$3.A.AB.6B22.A25.A670.12B$3.A4.6B21.
2A696.12B$2.2A4.7B716.2AB.10B$8.2A6B2.2A710.A.AB2.8B$6.BA2BA7BA.A709.
A6.8B$6.BA2BA6B3.A708.2A5.8B$6.BA3B2D4B3.2A714.7B$6.B2A2BDE3B719.11B$
6.2BA2B2ABAB719.12B$6.3B3A2BA720.12B$6.9B721.11B$7.8B719.4B.4B3DB$6.8B
720.2A4.4BC2B$.A5.6B722.A4.2B2CD2A$.3A3.6B719.3A6.B2AB2A$4.A2.B3A2B719.
A8.3ABA2B$3.2A2.BA2B2AB727.3B3A2B$6.B.B3A2B728.8B$6.4BA2B729.9B$6.7B728.
6B.3B$6.8B727.7B.B2A$7.7B728.6B2.A$8.6B7.2A719.6B3.3A$8.2B3D2B4.B.A720.
6B5.A$8.2BD4B3.BA.A719.8B$8.B3D4B2.B2A719.8B$8.11B721.9B$8.11B721.9B$
8.11B720.10B$9.11B719.3B2E5B$9.2B.7B714.2A3.4B2E5B$8.2BA8B715.A3.11B$
8.B2A7B716.A.A12B$6.B3A2BA5B717.2A2.8B$4.2B2AB4A4B723.7B$3.2B2A3BABA4B
2AB722.5B$4.13B3AB721.6B5.2A$2.5BABA6BABDE2B719.4BAB6.A$2.2A3.BA2B.4B
AB2EB6.2A711.4B3AB2.BA.A$3.A5.A4.3B2A3B5.A711.4B2AB2A2.B2A$3A13.6B2.B
A.A711.3B2A2B2A3B$A14.7B3.2A712.4B2A6B$15.6B.2B713.2AB.10B$16.5B3.B711.
A.AB2.8B$16.7B713.A6.8B$15.7B713.2A5.2B2A4B$15.7B720.2B2A3B$6.2A7.6B720.
3BA7B$7.A6.2B3D2B720.12B$7.A.AB3.4BD2B720.12B$8.2AB2.4B3DB721.11B$10.
11B719.4B.4B3DB$10.11B719.2A4.4BD2B$10.11B720.A4.2B3D2B$9.11B718.3A6.
6B$10.7B.2B718.A8.6B$10.11B726.6B$11.10B727.5B$11.5B2A5B725.5B$12.6B2A
5B722.6B.2B$9.3B2A5BA6B721.7B.B2A$8.3BA7BA5B723.6B2.A$7.2B2DA6BA8B721.
2BA3B3.3A$.A6.B2DA3B2A.4B3.2A721.B3A2B5.A$.3A3.8B4.B5.A721.B2A2BA2B$4.
A4.4B13.3A717.BAB4AB$3.2A4.5B14.A717.BABA5B$9.5B732.B3A5B$9.4B732.10B
$9.4B732.2AB2E5B$9.A4B725.2A3.B3A2E5B$9.5B726.A3.A2B3AB3AB$9.5B7.2A717.
A.4A9B$8.2B3D2B6.A719.2A2.2A6B$8.2BD4B3.BA.A724.7B$8.B3D4B2.B2A727.5B
$8.11B729.6B5.2A$8.7B3AB728.6B6.A$8.9BAB727.8B2.BA.A$9.4BA6B725.9B2.B
2A$9.2B.BA2BA2B726.12B$8.6B2A3B726.12B$8.10B725.2AB.10B$6.7BA4B724.A.
AB2.8B$4.7BA4BA725.A6.8B$3.9BA2BA4B721.2A5.8B$4.9B3A5B727.3B3AB$2.16B
2E2B725.4BA2BA3B$2.2A3.4B.6B2EB6.2A718.3BA2B2A4B$3.A5.B4.8B5.A719.3B2A
7B$3A13.6B2.BA.A720.11B$A14.7B3.2A719.4B.3BA3DB$15.6B.2B722.2A4.3BAD2B
$16.9B722.A4.2B3D2B$16.8B720.3A6.6B$15.8B721.A8.7B$15.7B731.8B$6.2A7.
2B3AB733.8B$7.A6.2B3DAB733.8B$7.A.AB3.4BC2B732.6B.2B$8.2AB2.A3B3DB732.
7B.B2A$10.2BA2BA5B733.6B2.A$10.BA4BA4B733.6B3.3A$10.BA5BA3B733.6B5.A$
9.B2AB2A5B733.8B$10.3B2ABA.2B732.8B$10.2B2A2BA4B731.9B$11.2B3A5B731.9B
7.B$11.3BA8B728.10B$12.13B726.3B2D5B$9.17B719.2A3.4B2D5B$8.17B721.A3.
4B3A4B$7.2B2E16B719.A.A5BABA4B$.A6.B2E6B.4B3.2A720.2A2.5BA2B$.3A3.8B4.
B5.A726.7B$4.A2.6B13.3A725.5B$3.2A2.7B14.A725.6B5.2A$6.B.6B739.6B6.A$
6.7B739.8B2.BA.A$6.7B738.9B2.B2A$6.8B737.12B$7.7B8.A728.12B$8.4BAB6.3A
726.2AB.10B$8.2BDCDAB4.A728.A.AB2.8B$8.2BD4B4.2A727.A6.8B$8.B2DCA3B.4B
726.2A5.8B$8.5B2A4B735.7B$8.7B2A3B733.11B$8.5BAB2A3B733.12B$9.4B2A5B733.
12B$12.7B735.8BA2B$11.8B5.2A726.4B.4B3CB$10.8B6.A727.2A4.2BABD2B$11.8B
2.BA.A728.A4.2BD2C2B$10.10B.B2A726.3A6.2BA3B$10.12B728.A8.7B$10.12B737.
8B$8.2AB2.9B738.8B$7.A.AB2.8B739.9B$7.A6.6B739.6B.3B$6.2A5.6B740.7B.B
2A$14.5B741.6B2.A$14.4B2AB739.6B3.3A$14.2BA2BA2B2.2A734.6B5.A$12.3BA4B
A3BA.A732.8B$12.2B2AB2AB2AB3.A731.8B$12.BA3B2D2A2B3.2A730.9B$12.5BED3B
736.9B$12.A9B735.10B$12.6BA2B736.3B2E5B$12.BA4BA2B730.2A3.4B2E5B$13.2B
A2BA2B731.A3.11B$7.B4.3B3A2B732.A.A12B$7.AB4.6B734.2A2.8B$7.3A3.6B739.
7B$10.A2.6B741.2B2AB$9.2A2.7B740.BA2BAB5.2A$11.B2.6B739.2BABAB6.A$10.
B.B.5B739.B2ABA3B2.BA.A$14.5B738.BAB2A4B2.B2A$15.5B737.2ABA8B$13.B.5B
8.A728.3ABA7B$14.6B6.3A726.3A.3A7B$14.2B3D2B4.A728.A.AB2.8B$14.2BD4B4.
2A727.A6.8B$14.B3D4B.4B726.2A5.8B$14.11B735.7B$14.12B733.11B$14.12B733.
12B$15.11B733.12B$18.3B2A2B735.11B$17.2BA2BA2B5.2A726.4B.4B3DB$16.3BA
2BAB6.A727.2A4.4BD2B$17.B2AB2A2B2.BA.A728.A4.2B3D2B$16.B2AB2A4B.B2A726.
3A6.6B$16.2A3B2A5B728.A8.7B$16.4A2BA5B737.8B$14.3A2.3BA5B738.7B$13.A.
AB2.ABA5B739.7B$13.A6.A5B739.3BA2B.B$12.2A5.6B740.2B3A2B2.2A$20.5B741.
A2B2AB2.A$20.7B739.6B3.3A$20.A7B2.2A734.6B5.A$18.BABA8BA.A732.8B$6.B11.
6B2A3B3.A731.7BA$18.5BED4B3.2A730.5B2A2B6.B$18.A2BABDEA2B736.2A2B3A2B
$18.3BA6B735.B2A2B2A3B$18.9B736.B2AED5B$18.A5B2AB730.2A3.3BAEDBABAB$19.
8B731.A3.7BA3B$18.BA5BA732.A.A8B3AB$13.A5.BA4B734.2A2.8B$13.3A3.6B739.
7B$15.BA2.3BA2B741.5B$15.2AB.2BA2BAB740.6B5.2A$15.4B.4A2B739.6B6.A$16.
4B2A3B739.8B2.BA.A$17.6BAB738.9B2.B2A$18.5B2AB737.12B$19.2BA2BAB8.A728.
12B$20.B3A2B6.3A726.2AB.10B$20.2BC2D2B4.A728.A.AB2.3B3A2B$20.2BD4B4.2A
727.A6.BA2BA3B$20.B3D4B.4B726.2A5.2BA3BAB$20.11B735.BA5B$20.12B733.B2A
B3A4B$20.12B733.2BA9B$21.11B733.2B2A3BA4B$24.7B735.2BA8B$23.8B5.2A726.
4B.4B3DB$22.8B6.A727.2A4.4BD2B$23.8B2.BA.A728.A4.2B3D2B$22.10B.B2A726.
3A6.6B$22.12B728.A8.7B$22.12B737.8B$20.2AB2.9B738.8B$19.A.AB2.8B739.8B
$19.A6.6B739.6B.2B$18.2A5.6B740.7B.B2A$26.3BAB741.6B2.A$26.B4A2B739.6B
3.3A$26.2A3BA2B2.2A734.6B4.BA$24.2B5A5BA.A732.8B$24.4B2A5B3.A731.8B8.
B$24.5BED4B3.2A730.9B$24.5BED3B736.9B7.B$24.10B735.10B$24.9B736.3B2D5B
$24.9B730.2A3.4BDE2A3B$25.8B731.A3.4BA2BA3B$24.8B732.A.A5BA3BA2B$19.A
5.6B734.2A2.3BA2BAB$19.3A3.6B739.3BABAB$22.A2.6B741.5B$21.2AB.7B740.6B
5.2A$23.2B.6B739.6B6.A$23.8B739.8B2.BA.A$23.8B738.9B2.B2A$24.8B737.12B
$25.3BA2BA8.A728.12B$26.4A2B6.3A726.2AB.10B$26.2B3DBA4.A728.A.AB2.8B$
26.2ADB2AB4.2A727.A6.8B$26.B3D4B.4B726.2A5.8B$26.4B2A5B735.7B$26.5B2A
5B733.11B$26.BA2B2A6B733.8B3AB$27.11B733.7BA4B$30.7B735.6BA2BAB$29.8B
5.2A726.4B.4B2CDB$28.8B6.A727.2A4.3BAC2B$29.8B2.BA.A728.A4.2BC2DAB$28.
10B.B2A726.3A6.4BAB$28.12B728.A8.B2A4B$28.12B737.8B$26.2AB2.9B738.8B$
25.A.AB2.8B739.9B$25.A6.6B739.6B.4B$24.2A5.6B740.7B.B2AB$32.5B741.6B2.
A3B$32.7B739.6B3.3AB$32.4B2A2B2.2A734.6B4.BAB$30.5BA2BA3BA.A732.8B4.2B
$30.6B2A3B3.A731.8B6.B$30.5BDEA3B3.2A730.9B$30.2B2ABED3B736.9B$30.2BA
2BA4B735.10B$30.3B3A3B736.3B2E5B$30.9B730.2A3.4B2E5B$31.8B731.A3.11B$
25.B4.8B732.A.A12B$25.AB4.6B734.2A2.8B$25.3A3.6B739.3B3AB$28.A2.6B741.
A2BAB$27.2AB.7B740.4BAB5.2A$29.2B.6B739.BA2BAB6.A$29.8B739.4B2A2B2.BA
.A$29.8B738.9B2.B2A$30.8B737.12B$31.7B8.A728.12B$32.6B6.3A726.2AB.10B
$32.2B3D2B4.A728.A.AB2.8B$32.2BD4B4.BA727.A6.8B$32.B3D4B.A2BA726.2A5.
8B$32.11B735.7B$32.12B733.11B$32.10B2A733.12B$33.4B2A5B733.12B$36.B3A
3B735.11B$35.5BA2B5.2A726.4B.4B3DB$34.8B6.A727.2A4.4BD2B$35.ABA3BAB2.
BA.A728.A4.2B3D2B$34.2B2A6B.B2A726.3A6.6B$34.2B2AB2A5B728.A8.7B$34.4B
A7B737.3BA4B$32.2AB2.9B738.B3A4B$31.A.AB2.8B739.2A2BA4B$31.A6.6B739.B
A3BA.2B$30.2A5.6B740.BABA3B.B2A$38.5B741.6B2.A$38.7B739.B2AB2A3.3A$38.
A7B2.2A734.3BA2B5.A$36.2BA9BA.A732.8B$36.2BA3BA4B3.A731.8B$36.5BEDA3B
3.2A730.B2A6B$36.3BAB2DA2B736.B2ABAB2AB$36.2BABA5B735.5BABA2B$36.B2AB
AB2AB736.2BA2DBA3B$36.6B2AB730.2A3.3BADE5B$37.8B731.A3.4BA3BA2B$36.8B
732.A.A9BA2B$31.A5.2BA3B734.2A2.7BA$31.3A3.2AB2AB739.7B$34.A2.6B741.5B
$33.2AB.3BABAB740.6B5.2A$35.2B.A3BAB739.6B6.A$34.4BA2B2A739.8B2.BA.A$
35.4B3AB738.9B2.B2A$36.4BA3B737.7BA4B$37.7B8.A728.5B2AB2A2B$38.6B6.3A
726.2AB.6B2A2B$38.2B3D2B4.A728.A.AB2.BA3BABA$38.2BD4B4.2A727.A6.8B$38.
B3D4B.4B726.2A5.2BA5B$38.11B735.3B3AB$38.12B733.5B2A4B$38.12B733.2A10B
$39.11B733.12B$42.7B735.11B$41.8B5.2A726.A2BA.4B3DB$40.8B6.A727.AB4.4B
D2B$41.8B2.BA.A728.A4.2B3D2B$40.10B.B2A726.3A6.6B$40.12B728.A8.7B$40.
12B737.8B$38.2AB2.9B738.8B$37.A.AB2.2B2A4B739.8B$37.A6.BA2BAB739.6B.2B
$36.2A5.BA4B740.7B.B2A$44.BA2BA741.6B2.A$44.B3A3B739.6B3.3A$44.8B2.2A
734.6B4.BA$42.12BA.A732.8B4.B$42.11B3.A731.8B$42.5B2E4B3.2A730.9B$42.
5B2E3B736.3B3A3B$42.10B735.4BA2BA2B$42.9B736.3BDEB2A2B$42.9B730.2A3.3B
AED5B$36.B6.8B731.A3.3B2A6B$36.2B4.8B732.A.A3BA2BA5B$36.BAB4.6B734.2A
2.2B2A4B$36.B3A3.6B739.7B$37.3BA2.6B741.5B$38.B2AB.7B740.6B5.2A$39.4B
.6B739.6B6.A$40.9B739.8B2.BA.A$41.8B738.9B2.B2A$42.8B737.12B$43.4B2AB
8.A728.12B$44.BA4B6.3A726.2AB.10B$44.BA2DC2B4.A728.A.AB2.8B$44.2BCA3B
4.2A727.A6.8B$44.BD2C4B.4B726.2A5.8B$44.BA2BA6B735.7B$44.4BA7B733.11B
$44.B3A8B733.6B2A2BAB$45.11B733.5B2A5B$48.7B735.5B2A4B$47.8B5.2A726.4B
.4B3DB$46.8B6.A727.2A4.B2ABD2A$47.8B2.BA.A728.A4.AB3D2B$46.10B.B2A726.
3A6.2B4A$46.12B728.A8.A2BA3B$46.12B737.8B$44.2AB2.9B738.8B$43.A.AB2.8B
739.8B$43.A6.6B739.6B.2B$42.2A5.6B740.7B.B2A$50.5B741.6B2.A$50.BABA3B
739.6B3.3A$50.BA2BA3B2.2A734.6B5.A$48.2BA3BA5BA.A732.8B$48.3BA2BA4B3.
A731.8B$48.3B2AED4B3.2A730.9B$48.5B2D3B736.9B$48.10B735.10B$40.B7.9B736.
3BDE5B$48.9B730.2A3.4BDE5B$40.B8.8B731.A3.5B2A4B$48.8B732.A.A5B5A2B$43.
AB4.6B734.2A2.2BA3B2A$43.3A3.6B739.2B4AB$46.A2.6B741.BA3B$45.2AB.7B740.
6B5.2A$47.2B.6B739.6B6.A$47.8B739.8B2.BA.A$47.8B738.9B2.B2A$48.8B737.
12B$49.7B8.A728.12B$50.6B6.3A726.2AB.10B$50.2B3D2B4.A728.A.AB2.8B$50.
2BD4B4.2A727.A6.8B$50.B3D4B.4B726.2A5.8B$50.8BA2B735.7B$50.4BA3B2A2B733.
11B$50.9BA2B733.12B$51.4B3AB2AB733.12B$54.5BAB735.11B$53.BA3BA2B5.2A726.
4B.4B3DB$52.3BA2BAB6.A727.2A4.4BD2B$53.2B3A3B2.BA.A728.A4.2B2DC2B$52.
10B.B2A726.3A6.2B3AB$52.12B728.A8.BA2BA2B$52.12B737.B2A5B$50.2AB2.9B738.
BA6B$49.A.AB2.8B739.3B2A4B$49.A6.6B739.2B4A.4B$48.2A5.6B740.BA2BA2B.B
2A$56.5B741.2BA3B2.AB$56.7B739.6B3.3A$56.8B2.2A734.4BAB5.A$54.B3A8BA.
A732.A5BAB$54.3BA7B3.A731.8B$54.BABABDEA3B3.2A730.B2A5BA$54.5BDE2AB736.
9B$54.3B2A2B2AB735.6BA3B$54.2B3A2B2A736.2BAEDBA2BA$47.B6.2B2A5B730.2A
3.4BDE5B$55.A7B731.A3.3B2A6B11.B$54.8B732.A.A8BABAB$49.A5.6B734.2A2.7B
A$49.3A3.6B739.7B$52.A2.B2A2BA741.5B$51.2A2.2B3A2B740.6B5.2A$54.B.2BA
3B739.5BA6.A$54.7B739.5BABA2.BA.A$54.7B738.5BA3B2.3A$54.8B737.5BA2B4A
$55.7B8.A728.5B2A3B2A$56.6B6.3A726.2AB.4B2AB2AB$56.2B3D2B4.A728.A.AB2.
2B2AB2AB$56.2BD4B4.2A727.A6.BA2BA3B$56.B3D4B.4B726.2A5.2BA2BA2B$56.11B
735.2B2A3B$56.12B733.11B$56.12B733.12B$57.11B733.12B$60.7B735.11B$59.
8B5.2A726.4B.4B3DB$58.8B6.A727.2A4.4BD2B$59.8B2.BA.A728.A4.2B3D2B$58.
7B3A.3A726.3A6.6B$58.7BAB3A728.A8.5B.B$58.8BAB2A737.5B$56.2AB2.4B2ABA
B738.5B$55.A.AB2.3BAB2AB739.5B.B.B$55.A6.BABA2B739.6B2.B$54.2A5.BA2BA
B740.7B2.2A$62.B2A2B741.6B2.A$62.7B739.6B3.3A$62.8B2.2A734.6B4.BA$60.
12BA.A732.2B3A3B4.B$60.11B3.A731.2BA2BA2B$60.5B2E4B3.2A730.2BA4BAB$60.
5B2E3B736.2BA6B$60.10B735.9BA$60.9B736.3BDE5B$60.9B730.2A3.2B2A2D3BAB
$61.8B731.A3.B2AB2AB2A2B$60.8B732.A.A3BA4BA3B$55.A5.6B734.2A2.2BA2BA2B
$55.3A3.6B739.B2A4B$58.A2.6B741.5B$57.2AB.7B740.6B5.2A$58.3B.6B739.6B
6.A$58.9B739.8B2.BA.A$59.8B738.9B2.B2A$60.8B737.12B$61.7B8.A728.12B$62.
3BA2B6.3A726.2AB.10B$62.2B2CD2B4.A728.A.AB2.8B$62.2BDBA2B4.2A727.A6.8B
$62.B3C4B.4B726.2A5.8B$62.2BA8B735.7B$62.12B733.5B2A4B$62.12B733.3B2A
BA5B$63.11B733.3B2A7B$66.7B735.4B2A5B$65.8B5.2A726.4B.3BAC2DB$64.8B6.
A727.2A4.4BD2B$65.8B2.BA.A728.A4.BADCD2B$64.10B.B2A726.3A6.BA4B$64.12B
728.A8.7B$64.12B737.8B$62.2AB2.9B738.7B$61.A.AB2.8B739.7B$61.A6.6B739.
6B.B$60.2A5.6B725.A14.7B2.2A$68.5B725.3A13.6B2.A$68.7B726.A5.B4.8B3.3A
$68.2BA5B2.2A720.2A3.4B.6B2EB6.A$66.4BABA5BA.A719.16B2E2B$66.4B3A4B3.
A721.17B$66.5B2D4B3.2A719.17B$66.5B2D3B726.13B$66.10B728.8BA3B$58.B7.
9B731.5B3A2B$66.9B731.4BA2B2A2B$67.8B732.2B.AB2A3B$66.8B733.5B2AB2AB$
61.A5.6B733.3BA5BAB$61.3A3.6B733.4BA4BAB$64.A2.6B733.5BA2BA2B$63.2AB.
7B732.B3D3BA2.B2A$65.2B.6B732.2BC4B3.BA.A$65.8B733.BA3D2B6.A$65.8B733.
B3A2B7.2A$66.8B731.7B$67.7B8.A721.8B$68.6B6.3A720.8B$68.2B3D2B4.A722.
9B$68.2BDA3B4.2A720.2A2B.6B$68.B3DA3B.4B719.A.A2.7B14.A$68.11B721.A4.
6B13.3A$68.7B2A3B719.2A4.8B4.B5.A$68.4B2A2BA3B726.B2E6B.4B3.2A$69.3BA
2BA4B725.2B2E16B$72.B3A3B727.5B3A9B$71.8B5.2A721.4BA2BA9B$70.8B6.A725.
A4BA7B$71.8B2.BA.A724.4BA7B$70.10B.B2A725.10B$70.12B726.3B2A6B$70.12B
726.2BA2BAB.2B$68.2AB2.9B725.6BA4B$67.A.AB2.8B727.BA9B$67.A6.6B728.B3A
7B$66.2A5.6B729.11B$74.5B727.2AB2.4B3DB$74.7B724.A.AB3.4BD2B$74.6B2A2.
2A719.A6.2B3D2B$72.9B4A.A717.2A7.5B$72.B3AB3A2BA3.A726.5B$72.5B2E3AB3.
2A725.4BA$72.5B2EB2A732.4B$72.10B732.4B$72.5B3AB732.5B$72.5BABAB717.A
14.5B4.2A$73.B4ABAB717.3A13.4B4.A$72.2BA2B2AB721.A5.B4.8B3.3A$67.A5.2B
3AB721.2A3.4B.2A3BA2DB6.A$67.3A3.3BA2B721.8BA6BA2D2B$70.A2.6B723.5BA7B
A3B$69.2AB.7B721.6BA5B2A3B$71.2B.6B722.5B2A6B$74.5B725.5B2A5B$74.5B727.
10B$74.6B726.11B$74.6B8.A718.2B.7B$74.6B6.3A718.11B$74.2B3D2B4.A720.11B
$74.2BD4B4.2A719.11B$74.B3D4B.4B719.11B$74.11B721.B3D4B2.B2A$74.12B720.
2BD4B3.BA.A$74.12B720.2B3D2B6.A$75.7BA3B720.6B7.2A$78.3B2A2B720.7B$77.
4B2A2B5.2A714.6B$76.8B6.A715.5B$77.8B2.BA.A715.5B$76.10B.B2A711.2A2B.
6B$76.6B2A4B712.A.A2.7B14.A$76.3B2A2B2A3B712.A.B2.6B13.3A$74.2AB2.2AB
2A4B711.2A4.3B2A3B4.A5.A$73.A.AB2.B3A4B719.B2EBA4B.2BAB3.2A$73.A6.BA4B
719.2BEDBA6BABA5B$72.2A5.6B721.B3A13B$80.5B722.B2A4BABA3B2A2B$80.7B723.
4B4AB2A2B$80.8B2.2A717.5BA2B3AB$78.12BA.A716.7B2AB$78.11B3.A715.8BA2B
$78.5B2E4B3.2A714.7B.2B$78.5B2E3B719.11B$78.10B720.11B$78.9B721.11B$78.
9B722.10B$79.8B719.2A3.4B3DB$78.8B719.A.A4.4BD2B$73.A5.6B720.A.B4.2B3D
2B$73.3A3.6B719.2A7.6B$76.A2.6B728.7B$75.2AB.7B727.8B$76.3B.6B728.7B$
76.9B729.2BA4B$77.8B728.2B3AB.B.2A$78.2B3A3B727.B2A2BAB2.A.A$79.2BAB3A
8.A719.2B3AB4.A$80.2AB2AB6.3A719.6B4.2A$80.2AD2C2B4.A722.6B$80.2BC4B4.
2A720.8B$80.B3D4B.4B719.8B$80.11B721.9B$80.12B720.A2B3A3B$80.12B719.B
AB2A2BA2B$81.11B719.3BED2B2AB$84.7B714.2A3.4B2D3BAB$83.8B5.2A708.A3.6B
A2BAB$82.8B6.A709.A.A7BA2BAB$83.8B2.BA.A710.2A2.6B2A$82.10B.B2A716.7B
4.2A$82.12B696.2A21.6B4.A$82.12B670.A25.A22.6B.BA.A$80.2AB2.9B670.3A20.
BA.A21.7B.B2A$79.A.AB2.8B674.A17.B.B2A23.8B$79.A6.6B674.2A16.4B18.A6.
7B$78.2A5.4BAB675.4B14.4B18.3A4.7B$86.2BABA656.A20.3B12.5B9.A11.A2.7B
4.B$86.5BAB638.A15.3A12.B.3B.4B11.6B8.3A8.2A3.6B.B.2BA$86.BABA4B2.2A631.
3A18.A10.18B2.8B11.A7.8BA6BA.A$71.B12.4B2A6BA.A617.A11.A20.2A3.B5.2B2E
9B2ACBA12B9.2A3.B5.5B2A5B.BA$84.11B3.A617.3A9.2A19.8B3.2B2E8BA3DAB2A9B
10.8B2.4BA2BA5B$84.5B2D4B3.2A619.A9.B21.8B.12BACBD2BAB.7B13.12BABA6B$
84.5B2D3B612.2A10.2A9.3B19.21BAD4A11B12.12BA7B$84.10B597.A15.A10.5B5.
6B16.B2A12B.2B2.19B11.19B$84.9B596.3A15.A.AB9.4B3.10B11.B3AB2A10B8.17B
8.18B$84.9B583.A11.A19.2AB.3B4.6B2.A10B3.2B2.4BABAB2A9B11.15B.2B2.21B
$85.8B583.3A9.2A20.7B.8BA4B2D14BACBA13B12.22BC14B$84.8B587.A9.B20.15B
A2B2AB2D15BDBD4B.7B13.8B.13BCBC4B.6B7.2A$79.A5.6B575.2A10.2A9.3B19.15B
A2BA16BAB3D13B10.8B3.2B2E9B3C4B2.B.5B5.A$79.3A3.6B560.A15.A10.5B5.6B16.
18BA21BD14B9.2A3.B5.2B2E11BC4B7.2A6.3A$82.A2.6B558.3A15.A.AB9.4B3.10B
11.46B2.8B11.A10.18B8.A9.A$81.2AB.7B544.A11.A19.2AB.3B4.6B2.11B3.2B2.
BA17B.B3.13B.4B11.6B8.3A12.B.3B.4B16.3A$83.2B.6B544.3A9.2A20.7B.3BA9B
2E13B2AC13B7.7B.B5.3B12.5B9.A19.4B19.A$83.8B548.A9.A20.10B3A8B2E13B2A
CBD4B.6B22.B14.4B$83.8B535.2A10.2A9.2AB19.3B3A3BAB2A21BA2BDCD4B2.B.5B
16.2A17.4B27.2A$84.8B519.A15.A10.5B5.2AB2AB16.5B2A6B2A20B4ABD4B7.2A15.
A.A18.B.B2A24.A.A$85.3BA3B517.3A15.A.AB9.4B3.BA2B2A4B11.13B3A21BAB2A5B
8.A16.A22.BA.A23.A$86.4BAB7.2A495.A11.A19.2AB.3B4.6B2.3B2A2B3AB3.2B2.
16B2AB.B3.13B.4B16.3A12.2A25.A22.2A$86.2B2DC2B6.A496.3A9.2A20.7B.12BA
2EBA2BA10BD13B7.7B.B4.4B19.A39.2A$86.2BD2B2A3.BA.A499.A9.B20.20BA2EB5A
9BDBD4B.6B19.4B$86.B3DABAB2.B2A487.2A10.2A9.3B19.B2A22BAB2A8B3D4B2.B.
5B16.2A2B$86.5B3A3B474.A15.A10.5B5.6B16.2BAB2A14BA5BABA11BD4B7.2A15.A
.A$86.7BA3B472.3A15.A.AB9.4B3.10B11.7BA14BA5B2A4B5.7B8.A16.A$86.5B2A4B
459.A11.A19.2AB.3B4.6B2.11B3.2B2.8BABA8B.B3.BA11B21.3A12.2A$87.4B2A5B
458.3A9.2A20.7B.11B2A2D15BDB.2B2A7B7.7B.B27.A$87.2B.7B462.A9.B20.20BA
2D15BD.D4B.6B$86.11B449.2A10.2A9.3B19.17B3A17B3D4B2.B.5B16.2A$86.10B435.
A15.A10.B3AB5.6B16.40BD4B7.2A15.A.A$84.12B433.3A15.A.AB9.3AB3.10B11.46B
8.A16.A$82.13B421.A11.A19.2AB.3B4.2A2BAB2.11B3.2B2.19B.B3.13B.4B16.3A
12.2A$81.17B418.3A9.2A20.7B.BAB3A7B2E15BDA12B7.7B.B4.B2.B19.A$82.17B420.
A9.B20.9B2ABAB2A5B2E14BACBC4B.6B19.B$80.16B2E2B406.2A10.2A9.3B19.12BA
2BA21BCDCA3B2.B.5B16.2A$80.2A3.4B.6B2EB392.A15.A10.5B5.6B16.14BABA23B
C4B7.2A15.A.A$81.A5.B4.8B4.2A383.3A15.A.AB9.4B3.5B3A2B11.17BA28B8.A16.
A$78.3A13.6B2.B.A371.A11.A19.2AB.3B4.6B2.4B4A3B3.2B2.19B.B3.13B.4B16.
3A12.2A$78.A14.7B.BA.A371.3A9.2A20.4BA2B.13B2E7BA7BD13B7.7B.B4.4B19.A
$93.6B.2B2A375.A9.B20.2B4A15B2D8BA6BDBD4B.6B19.4B$94.9B363.2A10.2A9.3B
19.2A3B2A15B2A6B2A5B3D4B2.B.5B16.2A2B30.B$94.8B349.A15.A10.5B5.6B16.4B
A3BA10B3AB3A4B2A8BD4B7.2A15.A.A$93.8B348.3A15.A.AB9.4B3.10B11.6BA3BA10B
A4B2A4BA13B8.A16.A$93.7B336.A11.A19.2AB.3B4.6B2.11B3.2B2.9BA2B2A5B.B3.
ABA4BA5B.4B16.3A12.2A$84.2A7.B3A2B337.3A9.2A20.7B.10B3A2D15BD3BA3BA5B
7.7B.B4.4B19.A$85.A6.2BDCDAB340.A9.B20.17BA3BED15BDBD4B.6B$85.A.AB3.2B
ABDAB327.2A10.2A9.3B19.20BA16B3D4B2.B.5B16.2A$86.2AB2.3BA2DCB312.A15.
A10.5B5.6B16.17B2AB2A18BD4B7.2A15.A.A$88.6BABA2B310.3A15.A.AB9.4B3.10B
11.21BA24B8.A16.A$88.6BA2BAB297.A11.A19.2AB.3B4.6B2.11B3.2B2.19B.B3.13B
.4B16.3A12.2A$88.7B2A2B297.3A9.2A20.7B.6BABA4B2E13BABC2B2A9B7.7B.B4.4B
19.A$87.9BAB301.A9.B20.17BA3B2E13BABDAC2BAB.6B19.4B30.B$88.7B.2B288.2A
10.2A9.3B19.12BA3BA20BD2C2BAB2.B.5B16.2A$88.11B272.A15.A10.5B5.6B16.13B
2AB2A19B2ABDABAB7.2A15.A.A$89.10B270.3A15.A.2A9.4B3.10B11.17BA28B8.A15.
BA$89.12B255.A11.A19.A2B.BAB4.6B2.4B2AB2A2B3.2B2.19B.B3.13B.4B16.3A12.
2A$90.13B253.3A9.2A20.3BA3B.12BA2DB2A5B3A4BD13B7.7B.B4.4B19.A$87.17B255.
A9.B20.A7BA12BED6BA3B2A3BDBD4B.6B$86.17B243.2A10.2A9.3B19.5BA3BA12B2A
4BABA2B2A2B3D4B2.B.5B16.2A32.B.B$85.2B2E16B226.A15.A10.5B5.6B16.5BA4B
A11BA5BA5BA5BD4B7.2A15.A.A$79.A6.B2E6B.4B3.2A224.3A15.A.AB9.4B3.2BA7B
11.6B2A5BA6B3A2B2A4BA2B2A10B8.A16.A$79.3A3.8B4.B5.A212.A11.A19.2AB.3B
4.6B2.BAB2A6B3.2B2.9B2A2B3A3B.B3.5BA4BA2B.4B16.3A12.2A$82.A2.6B13.3A209.
3A9.2A20.7B.10BABAED15BD10B2AB7.7B.B4.4B19.A$81.2A2.7B14.A212.A9.B20.
19BABDE2A13BDBD4B.2BA3B19.4B$84.B.6B214.2A10.2A9.3B19.23BA13B3D4B2.B.
5B16.2A.B$84.7B200.A15.A10.5B5.6B16.22BABA15BD4B7.2A15.A.A$84.7B198.3A
15.A.AB9.4B3.10B11.A3BA19B2A20B8.A16.A$84.8B184.A11.A19.2AB.3B4.6B2.B
A9B3.2B2.BA2BAB3A10B.B3.13B.4B16.3A12.2A$85.7B184.3A9.2A20.7B.9BABAB2D
15BDABABA8B7.7B.B4.4B19.A$86.6B7.2A178.A9.B20.16B2AB2A2E14BADBD4B.6B19.
4B$86.2B3C2B6.A70.2A48.2A44.2A10.2A9.3B19.16BAB2A15B2A3D4B2.B.5B16.2A
$86.2BC4B3.BA.A44.A25.A23.A25.A30.A15.A10.5B5.6B16.17B3A17BABAD2BAB7.
2A15.A.A$86.B3C4B2.B2A45.3A20.BA.A23.3A20.BA.A28.3A15.A.AB9.4B3.10B11.
20B2A17BABA4B8.A15.BA$86.11B50.A17.B.B2A27.A17.B.B2A16.A11.A19.2AB.3B
4.6B2.3BABA2BABA3.2B2.19B.B3.13B.4B16.3A11.B2A$86.11B49.2A16.4B28.2A16.
4B18.3A9.2A20.7B.12BADE2BA5BA3B2ABD13B7.7B.B4.4B19.A$86.11B67.4B31.B14.
4B21.A9.B20.21BED9BAB2ABADBD4B.6B19.4B$87.11B29.A19.B15.5B9.A19.4B12.
5B8.2A10.2A9.3B19.4B4AB3A17BABA4BAC2D4B2.B.5B16.2A$90.7B14.A15.3A12.B
.3B2.3B11.6B8.3A12.B.3B.4B11.6B8.A10.5B5.2BA3B16.5BA2B3A2BA5BA2B2A7B3A
2B2A2BD4B7.2A15.A.A$89.8B4.2A6.3A18.A10.18B2.8B11.A10.18B2.8B8.A.AB9.
4B3.2B3A5B11.11BA4BA3BA9BA3B2A10B8.A16.A$88.8B5.A6.A20.2A3.B5.BA2E11B
D8B3A3B9.2A3.B5.2B2E8B2ABD14B8.2AB.3B4.6B2.2A2BA6B3.2B2.11B3A2BABA.B3.
A7BA4B.4B16.3A12.2A$89.7B2.BA.A6.2A19.8B3.2ADEA8B3D8BA2BAB10.8B3.2B2E
8BADCD13B11.7B.9BA2BA2DB3A11BD9B2ABA7.3BA2BA.B4.4B19.A$88.9B.B2A8.B21.
8B.2A2BA8BDBD4B.2BA4B13.B2A5B.12BADBD2BAB.7B12.20BADE4BA10BDBD4B.3B3A
19.4B$88.11B10.3B19.11B2A9BD9BA4BA12.BA2BA3BA13BD3BA2B2A7B12.B2A14BA8B
A10B3D4B2.B.B3AB16.2A2B$88.11B9.6B16.15B.2B2.18BA11.2BA3BA3B2A3B.2B2.
6BA5BA6B11.2B2A15B2A5B2A12BD4B7.2A15.ABAB$86.2AB.9B.B3.B2.6B2A2B11.17B
8.17B8.8BA4BA3B8.6B2AB2A6B8.3BA2BA15BA14B2.7B8.A16.A$85.A.AB2.3B3A21B
3.2B2.19B11.10BA4B.2B2.9B2A2BA2BA2B11.A3B4A7B.2B2.3BA2BAB2A9B.B3.2BA3B
A6B4.B16.3A12.2A$85.A5.20BDEA7BA6BD9B3A3B12.9BA12BD11BA3B12.A4BA15BAD
BA11B7.4BA2B.B5.B21.A$84.2A5.4BABA13B2D2A6B2A5BDBD4B.3BA3B13.8B.B3A9B
DBD4B.3BA3B13.B3A4B.13BCBC4B.6B20.B$93.3B3A10B2A3BA5BAB2A4B3D5B2AB2A3B
10.8B3.2B2D9B3D13B10.5BA2B3.2B2E9B3D4B2.B.5B16.2A.B$93.15BA5BA5BABA7B
D6B3A2BABA9.2A3.B5.2B2D6BA4BD14B9.2A3.B5.2B2E11BD4B7.2A15.A.A$93.15BA
3B2A6B2A12B2.2BA4BA11.A10.4B8.6B2.8B11.A10.18B8.A15.BA$94.5B2.3B5.4A9B
.4B11.2A2BAB8.3A12.B.B18.6B8.3A12.B.3B.4B16.3A11.B2A$94.6B3.3B3.7B.B4.
4B12.B2A2B9.A35.5B9.A19.4B19.A44.B$95.4B5.2A33.BA2B46.4B$98.2B4.A15.2A
17.4B27.2A17.4B27.2A$97.BA2B4.3A11.A.A18.B.B2A24.A.A18.B.B2A24.A.A$97.
A.A7.A11.A22.BA.A23.A22.BA.A23.A$98.A19.2A25.A22.2A25.A22.2A$145.2A48.
2A!

EDIT 2: One more thing, in order to calculate the number of Transformers needed to construct an ant factory of period n greater than 69, use the following equation and solve for whole v:

(Restoration Time of 4-Turner + [Restoration Time of odd-period 4-advancer * A] + [Restoration Time of even-period 4-advancer * B])/n = y

The restoration time of a transformer is how long it takes for a signal to reappear in the same form e.g. a 4 to a 4. A and B in the equation represent the number of advancing transformers needed, and y is a value related to the time it takes for 1 signal to go around the loop. In order to figure out how many transformers are needed, adjust A and B until you get whole numbers for A, B, and Y.

If you want a very flat ant factory rather than a square, then use the equation

([2*Restoration Time of 4-Turner] + [Restoration Time of odd-period 4-advancer * A] + [Restoration Time of even-period 4-advancer * B])/n = y

[hotcrystal0]

Notice how square is the only still life that is a polyomino, but there is a greater variety of still lives made of disconnected polyominoes:

Code: Select all

x = 38, y = 13, rule = B3/S23
31b2o$31bo2bo2bo$33b5o2$13b2ob2o15b5o$5bo2bo2bo2bob2o5b2o8bo3bo$2o3b4o
2b2obo9bo10bo$2o12bo9bob2o6b3o$5b2o7b2o5b2obob2o4bo$5b2o14bo2bo7b5o$23b
2o11bo$34bo$34b2o!

[ababa11e]

Remember the thing in Smiley? I found you could do this to it, and rotate it 90 degrees in 22 generations.

Code: Select all

x = 10, y = 11, rule = b3/s23
bo8b$2b2o6b$b2o7b2$o9b$obo7b$bobo6b$bo2bo5b$bobo4b2o$obo4b2ob$o8bo!

If only we had a p88 ant gun...

Well, I found this small, compact p22 [see below]

Code: Select all

x = 27, y = 10, rule = b3/s23
2o25b$bo25b$bobo13b3o7b$2b2o3bo8bo3bo6b$6bob2o6bo4bo5b$5bo4bo6b2obo6b$
6bo3bo8bo3b2o2b$7b3o13bobob$25bob$25b2o!

and used 2 of it to make this p22 gun.

Code: Select all

x = 45, y = 21, rule = B3/S23
18b2o$19bo7bo$19bobo14b2o$20b2o12b2o2bo$24b3o7b2ob2o$24b2ob2o7b3o$24b
o2b2o12b2o$25b2o14bobo$35bo7bo$43b2o2$2o23bo$bo21bobo$bobo13b3o4b2o$2b
2o3bo8bo3bo$6bob2o6bo4bo$5bo4bo6b2obo$6bo3bo8bo3b2o$7b3o13bobo$25bo$25b
2o!

Maybe with some of those we could make a p88 gun to complete the reaction?

EDIT: i found this "moving gun" reaction, that also isn't an antnest.

Code: Select all

x = 16, y = 16, rule = B3/S23
$5b2o$4b2o$b2o3bo$b2o5$4b2o$4bobo$4bo2$13b2o$12b2o$14bo!

I used a BUNCH of found, old reactions to make this.

Code: Select all

x = 109, y = 59, rule = B3/s23
56b2o51b$56b2o51b2$78bo30b$78bobo28b$81b2o6b2o18b$38b2o27b2o12b2o4bo3b
o17b$38b2o16b3o8b2o12b2o3bo5bo8b2o6b$78bobo4b2obo3bo8b2o6b$56bobo19bo
7bo5bo16b$55b5o27bo3bo17b$54b2o3b2o4b2o22b2o18b$54b2o3b2o3bo2bo11bo29b
$64bo12b2o30b$64bo13b2o29b$64bob2o41b$66b2o41b2$83b2o24b$59b2o4b2o15b
2o10bobo12b$59bo5b2o17bo8bo2bo12b$60b3o16b2o11b2o10b2o3b$62bo16bobo8b
2o3bo8b2o3b$74b2o6bo9b2o5b2o8b$73bo2bo2bo2bo10bo2bo4bo7b$73b3o6bo11bob
o12b$46b3o22b3o5bobo27b$48bo15bo5bobo6b2o28b$47bo14b2o6bo38b$63b2o4b2o
38b$55bo53b$35b2o17bobo52b$35bo18b2obo14b2o35b$24bo8bobo18b2ob2o14bo
35b$24b4o5b2o19b2obo15bobo10bo22b$8bo16b4o15b2o8bobo4b2o11b2o9b4o20b$
7bobo5b2o8bo2bo14bobo9bo5bobo7bo12b2ob4o5b2o11b$5b2o3bo14b4o14bo19bo6b
2o11b3ob2o3bo3bo2bo9b$2o3b2o3bo4bobob2o3b4o14b2o19b2o5bobo11b2ob2o3bo
7bo8b$2o3b2o3bo5b2o3bo2bo60b5o3bo6bo6b2o$7bobo10bo18b2o45bo3b3o7bo6b2o
$8bo8bo2bo10b3o4bobo27b2o26bo2bo9b$33bo3b3o28bo2bo24b2o11b$32bo4b2o70b
$40b2o26bo2bo12bo24b$27bo11b3o25bo2bo11b2o25b$28bo38bobo12b3o24b$28bo
39bo11b3o26b$24bo2bo11b2o39b2o27b$6bo5b2o9bo15b2o27b2o39b$4bo3bo3b3o
10bo42b2o16b2o9bo11b$8bo5b2obo11bo55b4o7bobo10b$3bo5bo4bo2bo10b2o50bob
o2bo2b3o5b2obo9b$3b2o9b2obo9b2o4b2o2b2o40bo2bo2b2o9b2ob2o3b2o3b$12b3o
11b3o4b2o2b2o31b2o6b2o9bo6b2obo4b2o3b$12b2o13b2o4b2o35b2o4b2o3bo8bo5bo
bo10b$28b2o48b2o10bo6bo11b$29bo49bo2bo26b$80bobo!

It is the first stationary antnest.

One last major thing: I found these 2 reactions involving a Entity Valkyrie 2-AlbertArmStain-lk050807 mover, and an ant duplicator.
ant duplictaor/reflector

Code: Select all

x = 75, y = 31, rule = B3/S23
26bo24b2o$24bobo23bo$25b2o22bo12b2o$49bo7bo4b2o$49bo8b2o5b2o$31b2o8b2o
7bo4b2o2bo5b3o5b2o$31b3o6bobo8b2ob5o6b2o6b2o$33bo6bo16bo4b2o$39b2o21b
2o$30b2o$49bo$48bo$48b3o3$23bo$23b2o$22bobo$13bo20b2o7b3o$12bobo19bo8b
o$2o9bo3b2o8bo6bobo9bo9bo$2o9bo3b2o5b4o6b2o19bobo$11bo3b2o4b4o16bobo8b
ob2o10b2o$12bobo6bo2bo16bo2bo6b2ob2o10b2o$13bo7b4o19b2o6bob2o$22b4o16b
o3b2o5bobo$25bo18b2o8bo$34b2o5bo2bo$33bobo5bobo$33bo$32b2o!

The Entity Valkyrie 2-AlbertArmStain-lk050807 mover reaction:

Code: Select all

x = 70, y = 70, rule = B3/S23
41bo$27bobo6bo2b4o$26bo9bob4o$27bo2bo6b3o3b2o$29b3o9bo2b2o$42bob2o$43b
o8b2o$17bo34b2o$16bobo2$16bo2bo$18b2o$19bo2$60b2o$60b2o$27bo$25b2ob2o
$25b2ob2o$19bo5b2o$17bo2bo6b2obo$15b2o3bo7bo2bo$15b2o11bo2bo36b2o$15b
2o12b2o37b2o$16bo3bo$16b4o$16b2o$bobo6bobo45b3o$o9bobo14b3o$bo2bo6bo50b
2o$3b3o21bobo34bo$28bo29b4obo$29bo28b5o$29b2o$26bob2obo$26b4ob2o25bob
o$27b5o26bobo$29b2o28bo$58bobo$26b3o30b2o$24bo4bo29bo$26bob2o14bo3b2o
2b2obo$23b3o18bo3b2o4bob2o$16bo27bo3b2o2b2ob2o$6b2o9bobobo26b2o$6b2o5b
5o3bo24bo2bo11b2o$14b2o2bo2bo24bobo11b2o$19b2o26bo14bo5$14b2o$14b2o16b
3o2$36b2o$38bo$32b4obo$32b5o2$22b2o$22b2o8bobo$32bobo$33bo$32bobo$33b
2o$33bo2$30b2o$30b2o!

Together, they make a log(n) speed gun:

Code: Select all

x = 145, y = 114, rule = B3/S23
31bo113b$32bob2obobo105b$26b3o3b4o3bo105b$32bo2b2ob2o105b$31bo113b$29b
3o113b$29b3o17b2o94b$49bo95b3$14bo130b$14bo130b$14bo130b$17b2o126b$17b
2o38b2o86b$12bo3b3o38bo87b$13b3o129b$14bo130b$13b2o130b$13b3o129b$15bo
8bo120b$13bo8b2ob2o118b$15bo9b2o7bo30b2o78b$13b3o6b3o10b2o28bo79b$24bo
3bo5b2o109b$23bo3bo117b$5bo18b3obo116b$6bob2obobo12b2o117b$3o3b4o3bo
11bobo117b$6bo2b2ob2o12bo26b2o2bo87b$5bo19b2o29bobo86b$3b3o20bo28bo89b
$3b3o21bo117b$57b2o86b2$58b2o85b$57bo87b$55b2ob2o85b$58b2o85b$43bo12bo
88b$43bo101b$45bo5bo93b$44bo6bobo91b$43bo3bo2bo94b$3b2o39bo2bobob2o92b
$3bo45bob2o92b7$11b2o132b$11bo133b2$27b2o2bo113b$30bobo112b$29bo115b2$
31b2o112b$19b2o124b$19bo12b2o111b$31bo113b$29b2ob2o111b$32b2o111b$30bo
114b3$27b2o116b$27bo117b14$122bo22b$121bobo21b$121b2obo7b2o11b$121b2ob
2o6bobo10b$121b2obob3o6bo9b$111b2o8bobo2bo2bo2bo2bo8bo$110bobo9bo4b2o
6bo7b2o$110bo21bobo10b$109b2o21b2o11b6$93b2o15bo34b$94bo15bo34b$110bo
34b2$81bo22b2o39b$81bobo20bo40b$70b2o12b2o9b2o5bobo20bobo17b$70bo13b2o
9bo6b2o19bo3bo17b$84b2o6b2o17b2o10bo12b2o7b$81bobo7b3o17bo2bo7bo14bo7b
$81bo10b2o21bo7bo21b$95bo19bo7bo3bo17b$95b2o18bo9bobo17b$104b2o5bo2bo
30b$103bobo5b2o32b$103bo41b$102b2o!

[WhiteHawk]

If only we had a p88 ant gun...

We do have a factory of p88. 88 is greater than 69, so there is a loop of Transformers which can support your reaction. Read my post about all of the possible ant factory that exist based on 4-transformers.

(OOC: I think we're going a little quickly and should lay off the steam a bit. Since the sawtooth is a bit advanced of a concept and hasn't been a main topic of discussion in this reality, perhaps it would be better to leave both the Block one and the Cordership one off and come back to it once it arises as a topic of discussion. Even so, I do like the GGG glider duplicator and definitely think it's something that is in-line with our program. Additionally, I don't think Five-and-dime has been discovered yet, so exploring known GG interactions could be a starting point before jumping to Sawtooths.

Also remember Gliders are called Ants in this reality, so a Glider Duplicator is an Ant duplicator)

EDIT: OOC, it's fine to keep them in, but I still think we are moving a little quickly.

[hotcrystal0]

We do have a gun of p88. 88 is greater than 69, so there is a loop of Transformers which can support your reaction. Read my post about all of the possible guns that exist based on 4-transformers.

(OOC: I think we're going a little quickly and should lay off the steam a bit. Since the sawtooth is a bit advanced of a concept and hasn't been a main topic of discussion in this reality, perhaps it would be better to leave both the Block one and the Cordership one off and come back to it once it arises as a topic of discussion. Even so, I do like the GGG glider duplicator and definitely think it's something that is in-line with our program. Additionally, I don't think Five-and-dime has been discovered yet, so exploring known GG interactions could be a starting point before jumping to Sawtooths.

Also remember Gliders are called Ants in this reality, so a Glider Duplicator is an Ant duplicator)

(Also, guns are called factories.)

(Edit:)

If only we had a p88 ant factory...

I realized that using a Nebula to remove every other ant in a P44 stream could create a suitable factory.
Removing a fishhook from this repeater may help make a period-44 ant factory:

This works:

Code: Select all

x = 33, y = 44, rule = B3/S23
10b2o10b2o$9bo2bo8bo2bo$10b2o10b2o$12b10o$10b2o2b6o2b2o$9bo2bo2b4o2bo
2bo$10b2o10b2o4$9b2o$9b2o2$2o29b2o$bo29bo$bobo11b3o11bobo$2b2o10bo3bo
10b2o$13bo5bo$13bo5bo$13b3ob3o5$13b3ob3o$13bo5bo$13bo5bo$2b2o10bo3bo10b
2o$bobo11b3o11bobo$bo29bo$2o29b2o2$9b2o$9b2o4$10b2o10b2o$9bo2bo2b4o2b
o2bo$10b2o2b6o2b2o$12b10o$10b2o10b2o$9bo2bo8bo2bo$10b2o10b2o!

(actually edit 2) Edit: Hmm…

Code: Select all

x = 42, y = 44, rule = B3/S23
10b2o10b2o$9bo2bo8bo2bo$9b3o10b3o$12b10o$11bo2b6o2bo$11b2o2b4o2b2o5$9b
2o$9b2o2$2o29b2o$bo29bo$bobo11b3o11bobo$2b2o10bo3bo10b2o$13bo5bo$13bo
5bo13b2o$13b3ob3o13b2o5$13b3ob3o$13bo5bo5bo$13bo5bo4bobo5b3o$2b2o10bo
3bo4b2o6bo3bo$bobo11b3o5b2o2bo2bo5bo$bo22bob2o3bo3bo$2o22bo3bo3b3o$26b
obo$9b2o16bo$9b2o2$29b2o2b3o2b2o$29bo2b5o2bo$30b9o$11b2o2b4o2b2o4b3o9b
3o$11bo2b6o2bo4bo2bo7bo2bo$12b10o6b2o9b2o$9b3o10b3o$9bo2bo8bo2bo$10b2o
10b2o!

P44 ant factory finished:

Code: Select all

x = 42, y = 44, rule = B3/S23
10b2o10b2o$9bo2bo8bo2bo$9b3o10b3o$12b10o$11bo2b6o2bo$11b2o2b4o2b2o5$9b
2o$9b2o2$2o29b2o$bo29bo$bobo11b3o11bobo$2b2o10bo3bo10b2o$13bo5bo$13bo
5bo13b2o6bo$13b3ob3o13b2o4b3o$38bo$38b2o3$13b3ob3o$13bo5bo5bo$13bo5bo
4bobo5b3o$2b2o10bo3bo4b2o6bo3bo$bobo11b3o5b2o2bo2bo5bo$bo22bob2o3bo3b
o$2o22bo3bo3b3o$26bobo$9b2o16bo$9b2o2$29b2o2b3o2b2o$29bo2b5o2bo$30b9o
$11b2o2b4o2b2o4b3o9b3o$11bo2b6o2bo4bo2bo7bo2bo$12b10o6b2o9b2o$9b3o10b
3o$9bo2bo8bo2bo$10b2o10b2o!

And the P88:

Code: Select all

x = 54, y = 44, rule = B3/S23
10b2o10b2o$9bo2bo8bo2bo$9b3o10b3o$12b10o$11bo2b6o2bo$11b2o2b4o2b2o5$9b
2o$9b2o2$2o29b2o$bo29bo$bobo11b3o11bobo$2b2o10bo3bo10b2o$13bo5bo$13bo
5bo13b2o6bo$13b3ob3o13b2o4b3o4b2ob2obo$38bo6b2o2b2ob2o$38b2o13bo$45b2o
$45b2o5b2o$13b3ob3o32b2o$13bo5bo5bo19bo$13bo5bo4bobo5b3o10b2ob2o2b2o$
2b2o10bo3bo4b2o6bo3bo10bob2ob2o$bobo11b3o5b2o2bo2bo5bo$bo22bob2o3bo3b
o$2o22bo3bo3b3o$26bobo$9b2o16bo$9b2o2$29b2o2b3o2b2o$29bo2b5o2bo$30b9o
$11b2o2b4o2b2o4b3o9b3o$11bo2b6o2bo4bo2bo7bo2bo$12b10o6b2o9b2o$9b3o10b
3o$9bo2bo8bo2bo$10b2o10b2o!

[WhiteHawk]

And the P88

Nice. definitely smaller than the one allowed for by transformer loops.

P44 ant factory finished

New Ant Factory period! Nice.

Here's a reduction:

Code: Select all

x = 43, y = 44, rule = B3/S23
10b2o10b2o$9bo2bo8bo2bo$9b3o10b3o$12b10o$11bo2b6o2bo$11b2o2b4o2b2o5$9b
2o$9b2o2$2o29b2o$bo29bo$bobo11b3o11bobo$2b2o10bo3bo10b2o$13bo5bo$13bo
5bo13b2o6bo$13b3ob3o13b2o4b3o$38bo$38b2o3$13b3ob3o$13bo5bo5bo$13bo5bo
4bobo5b3o$2b2o10bo3bo4b2o6bo3bo$bobo11b3o5b2o2bo2bo5bo$bo22bob2o3bo3b
o$2o22bo3bo3b3o$26bobo$9b2o16bo$9b2o$31b2o$31bo$32b3o$34bo$11b2o2b4o2b
2o$11bo2b6o2bo$12b10o$9b3o10b3o$9bo2bo8bo2bo$10b2o10b2o!

Additionally, here is the promised collection of all ant factory periods below 69 currently known.

Code: Select all

x = 604, y = 71, rule = LifeHistory
500.4D2.4D$500.D5.D$500.D5.D$500.3D3.3D65.4D.4D$503.D5.D64.D4.D2.D$79.
3D5.5D411.D5.D64.D4.D2.D$18.3D5.3D49.D3.D8.D408.3D3.3D65.4D.D2.D$17.D
3.D3.D3.D52.D8.D127.4D2.D2.D53.D3.D2.D3.D280.D2.D.D2.D$21.D7.D51.D8.D
131.D2.D2.D53.D3.D2.D3.D280.D2.D.D2.D$20.D7.D51.D8.D132.D2.D2.D53.D3.
D2.D3.D280.4D.4D$19.D7.D51.D8.D130.4D2.4D53.5D2.5D42.D2.D2.4D43.D2.D3.
4D44.D2.D2.4D$18.D7.D51.D8.D134.D5.D57.D6.D42.D2.D2.D46.D2.D3.D47.D2.
D2.D2.D$17.D7.D52.5D4.D134.D5.D57.D6.D42.D2.D2.D46.D2.D3.D47.D2.D2.D2.
D$17.5D3.5D189.4D5.D57.D6.D42.4D2.3D44.4D3.4D44.4D2.4D$339.D5.D46.D3.
D2.D47.D2.D2.D$339.D5.D46.D3.D2.D47.D2.D2.D$339.D2.3D47.D3.4D47.D2.4D
2$509.2A.A$212.A296.A.2A$211.A.A290.A8.2A$211.A.3A288.3A3.2A3.A$208.2A
.A4.A73.2A10.2A203.A2.A.3A$208.A.A.A.A.A72.A2.A8.A2.A201.A.A.A.A56.2A
$154.4D2.4D46.A.A.2A5.A67.3A2.6A2.3A198.A2.6A57.2A$157.D2.D2.D45.A.A7.
3A70.2A6.2A201.3A5.A$89.2A66.D2.D2.D46.A7.A72.A10.A203.5A$85.2A6.2A59.
4D2.D2.D55.A71.2A.A4.A.2A202.A3.A$84.A10.A61.D2.D2.D56.A75.2A207.2A91.
2A$25.2A57.A.A6.A.A61.D2.D2.D50.2A3.2A211.2A73.2A2.2A85.2A$17.A7.A57.
2A.A.4A.A.2A57.4D2.4D38.3A10.2A176.2A38.A13.2A56.3A3.2A$7.2A14.A.A56.
A3.A.4A.A3.A103.5A4.3A.A178.2A38.A.A11.2A8.2A45.A6.A$6.A2.2A12.2A58.A
.A8.A.A104.2A2.2A3.2A170.A51.2A21.2A5.A39.2A3.2A$6.2A.2A7.3A61.2A.2A6.
2A.2A108.2A10.2A116.A4.A40.3A15.2A59.A.A.A45.A57.3A$6.3A7.2A.2A182.4A
11.A22.2A91.2A.4A.2A41.A6.2A5.A.A15.2A36.7A.A.A15.A20.5A3.A57.A3.A$2.
2A12.2A2.A61.2A.2A6.2A.2A105.3A10.A.A18.2A2.A40.2A52.A4.A14.2A26.2A6.
2A5.A17.2A35.A7.2A.2A13.A.A19.A2.A.2A2.A55.A5.A$.A.A14.2A47.2A14.A.A8.
A.A107.A5.2A4.2A15.A3.A.A.A41.A72.A42.3A38.A14.6A19.A.A21.A.4A57.A5.A
$.A7.A51.2A4.A2.A.2A.A6.A3.A.4A.A3.A7.2A104.A19.3A6.A42.A.A68.A.A82.A
.A13.A5.3A14.2A2.2A5.A13.2A6.A58.A$2A60.A2.2A2.2A.A.2A7.2A.A.4A.A.2A8.
A99.A2.A.2A18.A53.2A64.2A2.2A30.3A50.A.A16.A3.2A.2A12.A.A2.A.A.A.2A2.
A3.2A2.A8.A56.A3.A24.3A$62.A.A2.2A2.A4.2A6.A.A6.A.A7.A.A47.A50.A.A.A.
A20.A11.2A52.A13.2A37.2A33.A3.A49.3A12.2A.2A.2A3.A12.A2.2A2.A6.A.A.A.
A3.2A.A5.A57.3A24.A3.A$43.2A18.A.A3.A.A.2A3.A5.A10.A7.2A48.A.A47.2A.A
2.A17.A3.A10.A2.A26.A7.2A14.A.A12.2A21.3A4.3A41.A3.A9.3A32.2A18.2A.2A
.2A3.A12.2A4.A.A.A.3A.2A2.2A7.2A61.A24.A5.A$43.A21.2A.2A.A2.A.A3.2A3.
2A6.2A47.2A12.2A6.2A37.A23.A14.2A.A26.3A5.2A13.2A.2A32.6A2.6A39.A3.A9.
A17.2A14.A.A22.A3.2A.2A18.2A5.A.2A2.2A95.A5.A$25.3A13.A.A20.A4.A4.A2.
A.2A.A6.2A17.A33.2A12.2A4.A3.A30.2A4.2A5.A17.A16.2A28.A58.3A4.3A3.2A37.
3A10.A.A15.2A14.A16.2A3.A5.3A18.A.A.A3.4A3.3A29.2A2.2A63.A$24.A3.A8.A
3.2A22.3A2.2A3.2A.2A3.A23.A.A46.2A3.A5.A8.2A18.A.A10.3A30.2A3.A26.2A71.
2A6.A44.2A30.2A16.2A3.6A20.A.2A.A.A.A.A.A2.3A67.3A26.A3.A$23.A4.A6.2A
.A28.A2.4A.2A3.A5.3A10.3A5.A.A43.A.A4.2A.A3.A8.2A18.A11.4A22.3A4.A2.3A
104.A3.A98.A7.2A.2A14.A3.A.2A.A.A2.A2.A17.A4.2A2.3A3.2A3.3A2.2A4.A19.
3A27.3A$24.A.2A6.A4.A37.5A3.A3.A8.A3.A.2A.A.A.2A7.2A31.A7.A5.A27.2A10.
2A19.A4.A3.A2.A.2A106.A4.2A98.7A.A.A14.2A3.A5.2A.A.2A18.A3.2A.A.2A2.A
.2A.A2.2A.A.2A3.A18.A3.A27.A$20.2A3.A8.A3.A27.A5.A3.2A6.A5.A6.A8.A2.A
.A.A8.A39.A3.A36.2A3.2A2.2A4.3A5.2A4.A5.A2.A2.A50.2A.2A49.A.4A106.A.A
.A18.2A8.A.A19.4A3.A2.A2.A4.A2.A2.A3.4A$19.A.A13.3A23.4A3.A2.6A6.A3.A
3.A4.A3.A8.A3.A5.A44.2A34.A.3A4.5A3.A3.A5.2A3.A5.A4.2A51.A.A12.2A35.2A
4.A4.A97.2A5.A29.A.A21.A.A8.A4.A8.A.A19.2A3.2A$19.A44.A3.A2.2A4.A8.A.
A2.A4.A2.A.A8.A4.2A2.A3.A74.2A10.3A3.A5.A3.A.A3.A5.A58.A13.2A36.A4.A2.
3A97.2A36.A9.3A9.2A.A3.A.A2.A4.A2.A.A3.A.2A52.3A$18.2A48.A5.A3.A8.A3.
A4.A3.A3.A6.6A2.A3.4A67.2A3.2A15.A5.A3.2A5.A3.A112.A6.A.A144.A3.A9.A.
A8.A4.A8.A.A53.3A$65.A8.A.A.A2.A8.A6.A5.A6.2A3.A5.A72.A21.A5.A4.2A5.3A
114.A4.3A144.A5.A6.4A3.A2.A2.A4.A2.A2.A3.4A50.A3.A$66.2A7.2A.A.A.2A.A
3.A8.A3.A3.5A84.A17.2A2.A3.A4.A277.A3.A7.A3.2A.A.2A2.A.2A.A2.2A.A.2A3.
A$78.A.A5.3A10.3A5.A3.2A.4A2.A75.A7.A7.A.A3.3A284.3A8.A4.2A2.3A3.2A3.
3A2.2A4.A49.2A3.2A$78.A.A23.A3.2A.2A3.2A2.3A70.3A7.A.A6.A146.2A$79.A17.
2A6.A.2A.A2.A4.A4.A69.A5.2A.A.A6.2A13.A121.2A9.A169.2A2.2A$93.2A6.2A3.
2A3.A.A2.A.2A.2A75.A.A.A.A.A20.A121.A2.A2.A4.3A140.2A$92.A10.A5.A3.2A
.A.A3.A.A73.A4.A.2A16.A3.A53.2A63.3A6.A6.3A139.A$92.A.A6.A.A6.2A4.A2.
2A2.A.A73.3A.A19.A58.A63.A4.A4.A8.A135.3A63.2A$91.2A.A.4A.A.2A7.2A.A.
2A2.2A2.A75.A.A20.A54.3A69.2A.2A.A4.2A2.A134.A65.2A$90.A3.A.4A.A3.A6.
A.2A.A2.A4.2A75.A18.3A55.A16.2A59.2A2.A2.2A$91.A.A8.A.A14.2A100.A69.2A
.A4.A.2A55.A3.2A$90.2A.2A6.2A.2A185.A10.A55.A5.A.A$292.2A6.2A56.2A.A.
A.2A233.2A$90.2A.2A6.2A.2A183.3A2.6A2.3A54.A3.A236.2A$91.A.A8.A.A184.
A2.A8.A2.A53.2A.A.A$90.A3.A.4A.A3.A184.2A10.2A55.A.2A$91.2A.A.4A.A.2A
252.A$92.A.A6.A.A253.2A$92.A10.A$93.2A6.2A$97.2A!

EDIT: what is this? Found while exploring reactions involving Kevin's Ant Factory.

Code: Select all

x = 87, y = 59, rule = LifeHistory
4$22.2A$22.2A9$22.3A$21.A3.A$20.A5.A36.2A$20.A5.A36.2A$23.A$21.A3.A$22.
3A$23.A3$20.3A$20.3A$19.A3.A38.3A$61.A3.A$18.2A3.2A35.A5.A$60.A5.A$63.
A$61.A3.A$62.3A$63.A3$64.3A$64.3A$20.2A41.A3.A$20.2A$62.2A3.2A10$65.2A
$65.2A!

It makes 2 streams of ants, but the streams have different periods - p150 and p300.

I will call it the 2-for-1 reaction.

I now have 3 new questions:
What other things can p30 (maybe p46 or p120 too) ant streams do?
Is there another way in which the outputs of factories can be changed besides multiplying the period?
Are there any weirder interactions between factories and other factories, larger mover factories, or even factory-nest/nest-nest reactions?

[WhiteHawk]

(OOC: sorry for the doublepost)

I have just discovered that my old p69 ant factory technology is outdated.

Using Ant Turner 1, the p61 (OOC: beehive) restorer, and the new 4-to-double-ants, here is my new reduction. It most certainly can be reduced by moving the Ant-turners around.

Code: Select all

x = 164, y = 106, rule = LifeHistory
47.2A$46.A.A$40.2A4.A$38.A2.A2.2A.4A$38.2A.A.A.A.A2.A$41.A.ABABAB$41.
A.AB2AB$42.AB.2B$45.3B$45.4B6.2A$43.2B3AB6.A$43.BA3BA3.BA.A42.2A$41.2B
A5BAB.B2A42.A.A$40.2BA3BA3BA2B38.2A4.A$39.3BA2BABA2BA2B36.A2.A2.2A.4A
$38.4BA3BA3BA2B36.2A.A.A.A.A2.A$37.4B2.A5BAB41.A.ABABAB$36.4B5.3BA2B41.
A.A3BA$35.4B4.A3BA4B41.AB.2B$34.4B5.AB4.4B43.ABA$33.4B7.A5.4B42.4B6.2A
$32.4B5.3A7.4B39.BABABA6.A$31.4B6.A10.4B38.B5A3.BA.A$30.4B19.4B35.2A4B
AB2A.B2A$29.4B21.4B33.A4BA2B2A3B$28.4B23.4B31.7BABA4B$27.4B25.4B29.2B
2A5B2A4B$26.4B27.2B2A27.4B2.B5A2B$25.ABAB29.2A2B25.4B5.BA4B$24.B2AB31.
BA2B23.4B4.9B$9.A13.3BA33.4B21.4B5.2A4.4B$9.3A10.4B35.4B19.4B7.A5.4B$
12.A8.4B37.4B6.A10.4B5.3A7.4B$11.2A7.4B39.4B5.3A7.4B6.A10.4B$11.5B3.4B
41.4B7.A5.4B19.4B$13.3B2.4B43.4B5.2A4.4B21.4B$3.2A7.9B45.4B4.9B23.4B$
3.A8.8B47.4B5.6B25.B3A$2A.A.B3.10B49.4B2.2BA5B26.A3B$A2.AB2A.3A8B50.7B
2A6B25.A3B$.2A2.5BA8B51.5BAB2A5B26.4B$3.2A3BA3B2A5B52.6B2A5B27.4B$3.A
.2B3.7B.B2A51.10B.B2A26.4B$4.2ABA2.A6B.BA.A52.6B3.BA.A26.4B$7.A4.2BAB
5.A52.3B2AB6.A27.4B$2.5A5.ABAB5.2A53.4B6.2A27.4B$2.A10.2A2B59.3B37.4B
$4.A9.4B55.AB.2B39.4B$3.2A10.4B53.A.AB2AB39.4B$16.4B52.A.ABABAB39.4B$
17.4B48.2A.A.A.A.A2.A38.4B$18.4B47.A2.A2.2A.4A39.4B$19.4B48.2A4.A44.4B
$20.4B53.A.A43.4B$21.4B53.2A44.2B2A$22.4B99.2A2B$23.4B99.BA2B$24.4B99.
4B$25.4B99.4B$26.4B99.4B$27.4B99.4B$28.2BCB99.4B$29.2B2C99.4B$30.2C2B
99.4B$31.4B99.4B$32.4B99.4B$33.4B99.4B$34.4B99.4B$35.4B99.4B$36.4B99.
4B$37.4B79.A19.4B$38.4B62.A15.3A12.B.3B.2B2A$39.4B59.3A18.A10.9BABA6B
2A$40.4B17.2A.2A23.A11.A20.2A3.B5.2B2D6BA4BD4B2A7.2A$41.4B17.A.A24.3A
9.2A19.8B3.2B2D9B3DA2BA2B6.A.A$42.4B11.2A.A5.A.2A22.A9.A21.8B.B3A9BDB
DBA6B4.A$43.4B9.A.A.2A3.2A.A.A8.2A10.2A9.2AB19.9BA12BD12B.2A$44.4B7.A
2.B2.BA.AB2.B2.A8.A10.5B5.2AB2AB16.10BA4B.2B2.13BA3B$45.3BC6.7AB.B7A8.
A.AB9.4B3.BA2B2A4B11.17B8.10B2A2B$46.3BC9.3B.B.3B13.2AB.3B4.6B2.3B2A2B
3AB3.2B2.18BA11.7B.B2AB$47.3CB6.3AB.3B.B3A13.7B.12BA2EBA2BA10BD9BA4BA
11.7B2.A3.A$48.4B4.A.BA3BA3BAB.A12.20BA2EB5A9BDBD4B.2BA4B5.2A2.2B.7B3.
4A$49.4B3.2A3.BABAB3.2A13.B2A22BAB2A8B3D8BA2BAB4.A2.3A3B2.3B$50.4B7.B
ABAB17.2BAB2A14BA5BABA11BD8B3A3B4.3AB2AB11.2A$51.4B6.2BA2B.B13.7BA14B
A5B2A16B2.8B9.B.A11.2A$52.4B6.B.B.5B3.2B2.8BABA8B.B3.BA11B.4B11.6B5.5A
.3A$53.4B2.22BCBA2B2A7B7.7B.B6.2B3.B8.5B6.A4.A3.A$54.27BCAD4B.6B22.3B
.3A8.4B9.A.A2.2A$55.15B2E9BDCD4B2.B.5B21.6A8.4B9.2A$56.14B2E11BD4B7.2A
20.A.2A.B10.B.B2A$57.6BA23B8.A20.A.AB15.BA.A$58.4B3A2B2.B2.3B.4B16.3A
17.A21.A$59.3BAB2A2B9.2B3.B15.A16.2A21.2A$59.6B2AB9.3B.B2A$59.3BAB2A2B
10.A3B2A$59.2BDE2AB.B2A7.A.AB.B$57.3BD2BE2B.BA.A5.A.AB$56.2A3BDBDB5.A
5.A$52.2A.A.AB.2BD4B3.2A3.2A$53.A.A.2B6.2A$52.A2.2AB7.A$53.2A2.B8.3A$
55.2A11.A$55.A$56.A$55.2A!

EDIT: and here is an unreduced p70 factory using two transformer sets instead of one, as well as 6 Ant Turner 1s. It can be made using 2 ant-turners, but this version is a little more compact

Code: Select all

x = 267, y = 172, rule = LifeHistory
15$132.2A$132.A$133.A$120.A11.2A$120.3A8.B2.2A$123.A7.B2A2.A$122.2A6.
2B.A.A$112.2A3.2A3.4BD2B.BA.A.2A$112.A5.A5.BCBD3B2A$109.BA.A5.A.AB.BA
EABD3B$106.B.BA.A7.3A.2ABEC2B$105.2A3BA10.3A6B$105.2AB.3B9.3A6B$49.2A
21.2A16.A15.B3.2B9.B2A6B$50.A21.A17.3A16.4B.3B2.B2.B2AB2A3B$50.A.AB15.
BA.A20.A8.22B3A5B$51.2AB.B10.B.BA.A20.2A7.4BD11B2E6BA7B$42.2A9.4B8.2A
3BA21.5B.B2.4BD2CA8B2E15B$37.2A2.A.A9.4B8.2AB.3B22.6B.4BDBDA26B$37.A3.
A4.A6.2BA2B8.B3.2B6.B.7B7.6B4A3BC22B2.4B$38.3A.5A5.2B3AB11.4B.3B3A5BA
B3.B.7B2A10B2.2B3.5B.B.B6.4B$27.2A11.A.B9.BA6B2.14B5A3B2A12B2ABA2BA3B
13.B.2BA2B6.4B$27.2A11.AB5A4.B2AB3A7BD9BAB2A2BA4BA12BABAB2AB17.BABAB7.
4B$34.3B2.2BA2BA2.A4.B2A3BA6B3D6B2AB5A18B2ABAB13.2A3.BABAB3.2A3.4B$27.
4A3.7B.2B2.2A5.4BA2B.4BDBD7B5ABAB2D16B2A3B12.A.BA3BA3BAB.A4.3BC$27.A3.
A2.7B11.3BABA9BD8BA3B3ADEA12B.7B13.3AB.3B.B3A6.B2C$29.BA2B.7B11.19B2.
2B3.2B4A5B2.6B4.3B.B2A13.3B.B.3B9.CBCB$29.BABA10B8.17B11.10B3.4B9.BA.
A8.7AB.B7A7.3B$29.2B2A13B2.2B.15B16.6B5.5B10.A8.A2.B2.BA.AB2.B2.A7.4B
$27.2A.12BD9B2A11B19.3B9.2A10.2A8.A.A.2A3.2A.A.A9.4B$27.A4.8BDBD8BA2B
AB.8B21.B9.A22.2A.A5.A.2A11.4B$25.A.A6.6B3D9B2CAB3.8B19.2A9.3A24.A.A17.
4B$25.2A9.4BD11B2C2B5.B3.2A20.A11.A23.2A.2A17.4B$36.10BA8B10.A18.3A59.
4B$35.B8.3BA.3B.B12.3A15.A62.4B$31.2C12.3AB19.A79.4B$30.C.C13.4B99.4B
$30.C16.4B99.4B$29.2C17.4B99.4B$49.4B99.5B$50.4B99.4B$51.4B99.4B$52.5B
98.2B2A$53.6B97.2A2B$54.5B12.A85.BA2B$54.6B9.3A86.4B$55.6B7.A90.4B$56.
6B6.2A90.4B$58.5B2.5B91.4B$59.5B.3B94.4B$60.9B7.2A85.4B$61.3BA4B8.A86.
4B$62.ABA7B3.B.A.2A84.4B$62.B2A4B2A2B.B3A2.A85.4B$62.7B2A3BAB2.2A87.4B
$62.12B4A90.4B$60.2AB.7B3.2B.A91.4B$59.A.AB.7B2.B3A93.4B$59.A5.4B4.A97.
4B$58.2A5.4B5.5A93.3BA$64.4B10.A94.B2AB$63.4B9.A97.ABAB$62.4B10.2A97.
4B$61.4B111.4B$60.4B113.4B$57.6B115.4B$44.A12.5B117.4B$44.3A9.BA4B118.
4B$47.A7.BA4B120.4B$46.2A6.2B3AB122.4B$46.5B2.5B125.4B$48.3B.5B127.4B
$38.2A7.9B129.4B$38.A8.8B131.4B$35.2A.A.B3.10B133.4B$35.A2.3AB.2B2A7B
134.4B$36.2A2.BA3B2A7B135.4B$38.4A12B136.2B2A$38.A.2B3.7B.B2A135.2A2B
$39.3AB2.7B.BA.A135.BA2B$42.A4.4B5.A136.4B$37.5A5.4B5.2A136.4B$37.A10.
4B48.2A93.4B$39.A9.4B47.A.A93.4B$38.2A10.3BA2B46.A4.2A87.5B$51.ABA2B12.
A29.4A.2A2.A2.A85.6B$51.B2A3B9.3A29.A2.A.A.A.A.2A86.6B$52.6B7.A34.BAB
ABA.A91.5B$53.6B6.2A34.B2ABA.A92.5B$55.5B2.5B35.2B.BA94.5B$56.5B.3B36.
3B99.4B$57.9B7.2A17.2A6.4B100.4B$58.8B8.A18.A6.B2A3B99.4B$59.10B3.B.A
.2A15.A.AB3.B2A3B100.4B$59.7B2A2B.B3A2.A16.2AB.10B99.3BC$59.7B2A3BAB2.
2A19.13B99.B2CB$59.12B4A21.14B99.CBCB$57.2AB.7B3.2B.A21.15B99.4B$56.A
.AB.7B2.B3A24.8B2.4B102.B$56.A5.4B4.A26.B3A3B5.4B101.2B$55.2A5.A3B5.5A
20.4BA5B4.4B99.4B$61.A3B10.A19.4BA4.2A5.4B99.4B$60.B3A9.A20.5B5.A7.4B
99.4B$57.6B10.2A18.5B7.3A5.3BC99.4B$44.A12.5B4.3B23.5B10.A6.CBCB99.4B
$44.3A9.6B29.5B19.2C2B99.4B$47.A7.6B30.5B20.4B99.4B$46.AB6.6B30.4B23.
4B99.4B$46.A3BA2.5B31.4B25.4B99.4B$48.3B.5B31.4B27.4B99.4B$38.2A7.A4B
A3B31.4B29.4B99.4B$38.A8.3A2BA2B31.4B31.4B99.4B$35.2A.A.B3.B2A7B31.4B
33.4B79.A19.2B2A$35.A2.3AB.A2BA3B2A2B30.4B35.4B62.A15.3A12.B.3B.2A2B8.
3A$36.2A2.B3ABA2BA2BA2B16.4B9.4B37.4B59.3A18.A10.9BA11BA$38.6A2BABA2B
A2B15.5B8.4B39.4B17.2A.2A23.A11.A20.2A3.B5.2BCD11BD5BA7.2A$38.A.2B3.2A
B3AB.B2A.5B19.2A2B41.4B17.A.A24.3A9.2A19.8B3.2B2C9B3D6B6.A.A$39.3AB2.
2B4AB.BA.AB22.ABAB43.4B11.2A.A5.A.2A22.A9.B21.8B.BA2BA8BDBD8B4.A$42.A
4.ABAB5.A22.3BA45.4B9.A.A.2A3.2A.A.A8.2A10.2A9.3B19.11B2A9BD12B.2A$37.
5A5.B3A5.2A20.4B47.4B7.A2.B2.BA.AB2.B2.A8.A10.5B5.6B16.15B.2B2.13B2A2B
$37.A10.2A2B25.4B49.3BC6.7AB.B7A8.A.AB9.4B3.B2A3BA2BA11.17B8.10BABAB$
39.A9.4B23.4B51.3BC9.3B.B.3B13.2AB.3B4.6B2.9BAB3.2B2.19B11.7B.2BAB$38.
2A10.4B21.4B53.3CB6.3AB.3B.B3A13.7B.13BED2A13BD10B2A3B11.7B2.A3.A$47.
8B19.4B55.4B4.A.BA3BA3BAB.A12.3BA15BAB2EBA3B3A7BDBD4B.2B3A2B5.2A2.BA.
7B3.4A$48.8B10.A6.4B57.4B3.2A3.BABAB3.2A13.BAB2A13BAB2A2B3A2BA7B3D7BA
2B2AB4.A2.3BA2B2.3B$52.5B7.3A5.4B59.4B7.BABAB17.2BA3BA14BA2BA5BA9BD7B
2A2BA2B4.5ABA11.2A$53.5B5.A7.4B61.4B6.2BA2B.B13.4B2A2BA12B3A3BA2B2A14B
2.3BA2BAB9.B.A11.2A$54.5B4.BA5.4B63.4B6.B.B.5B3.2B2.7B2AB2A7B.B3.7B2A
4B.4B11.B3A2B5.5A.3A$55.5BA3BA4.4B65.4B2.22BDA3B2A7B7.7B.B6.2B3.B8.5B
6.A4.A3.A$56.3BA3B5.4B67.26BACBD4B.6B22.3B.B2A8.4B9.A.A2.2A$57.BA5BA2.
4B69.15B2E9B2CD4B2.B.5B21.A3B2A8.4B9.2A$55.2BA3BA3BA4B71.14B2E11BD4B7.
2A20.A.AB.B10.B.B2A$55.2BA2BABA2BA3B73.5B3A22B8.A20.A.AB15.BA.A$55.2B
A3BA3BA2B75.4BA2BAB2.B2.3B.4B16.3A17.A21.A$53.2AB.BA5BA2B77.3BA3BAB9.
2B3.B15.A16.2A21.2A$52.A.AB3.A3BAB79.7BAB9.3B.B2A$52.A6.B3A2B79.3BA3B
AB10.A3B2A$51.2A6.4B81.2BDE2BA.B2A7.A.AB.B$60.3B79.3BDBAEAB.BA.A5.A.A
B$61.2B.BA75.2A3BDBDB5.A5.A$60.B2ABA.A70.2A.A.AB.2BD4B3.2A3.2A$59.BAB
ABA.A71.A.A.2B6.2A$57.A2.A.A.A.A.2A67.A2.2AB7.A$57.4A.2A2.A2.A68.2A2.
B8.3A$61.A4.2A72.2A11.A$59.A.A78.A$59.2A80.A$140.2A!

For periods divisible by 4, only 4 ant-turners are needed.

EDIT 2: Smaller ant to 2 ants transformer with repeat time 69.

Code: Select all

x = 90, y = 49, rule = LifeHistory
8$56.4B20.4B$57.4B18.4B$22.2A.2A31.4B16.4B$23.A.A33.4B14.4B$18.2A.A5.
A.2A29.4B12.4B$17.A.A.2A3.2A.A.A9.A19.4B10.4B$8.B7.A2.B2.BA.AB2.B2.A8.
3A12.B.3B.4B8.4B$8.BC6.7AB.B7A11.A10.22B$8.B.C9.3B.B.3B14.2A3.B5.2B2C
11BD6B7.2A$8.3CB6.3AB.3B.B3A12.8B3.2B2C9B3D6B6.A.A$9.4B4.A.BA3BA3BAB.
A13.8B.13BDBD8B4.A$10.4B3.2A3.BABAB3.2A13.22BD12B.2A$11.4B7.BABAB17.15B
.2B2.13B2A2B$12.4B6.2BA2B.B13.17B8.10BABAB$13.4B6.B.B.5B3.2B2.19B11.7B
.2BAB$14.4B2.22BD15B11.7B2.A3.A$15.27BDBD4B.7B5.2A2.2B.7B3.4A$16.15B2E
9B3D13B4.A2.AB2A2B2.3B$17.14B2E11BD14B4.3ABABA11.2A$18.30B2.8B9.A.A11.
2A$19.9B2.B2.3B.4B11.6B5.5A.3A$20.9B9.2B3.B8.5B6.A4.A3.A$20.9B9.3B.B2A
8.4B9.A.A2.2A$20.9B10.A3B2A8.4B9.2A$20.2BCE3B.B2A7.A.AB.B10.B.B2A$18.
3BC2BE2B.BA.A5.A.AB15.BA.A$17.2A3BCBCB5.A5.A21.A$13.2A.A.AB.2BC4B3.2A
3.2A21.2A$14.A.A.2B6.2A$13.A2.2AB7.A$14.2A2.B8.3A$16.2A11.A$16.A$17.A
$16.2A!

EDIT 3: Small p69 factory

Code: Select all

x = 180, y = 140, rule = LifeHistory
20$85.2A$85.A$86.A$73.A11.2A$73.3A8.B2.2A$76.A7.B2A2.A$75.2A6.2B.A.A$
42.2A21.2A3.2A3.4BD2B.BA.A.2A$43.A21.A5.A5.BDBD3B2A$43.A.AB15.BA.A5.A
.AB.2BE2BD3B$44.2AB.B10.B.BA.A7.2AB.B2AED2B$35.2A9.4B8.2A3BA10.2B2ABA
3B$30.2A2.A.A9.4B8.2AB.3B9.B2A6B$30.A3.A4.A6.5B8.B3.2B9.2B2ABA3B$31.3A
.5A5.6B11.4B.3B2.B2.2B3A4B$20.2A11.A.A9.8B2.23BA6B$20.2A11.ABAB3A4.14B
D11B2E14B$27.3B2.2B2ABA2.A4.13BDCD9B2E15B$20.4A3.7B.2B2.2A5.7B.4BDAC27B
$20.A3.A2.7B11.9B2A2BABC22B2.4B$22.BA2B.7B11.8BABA8B2.2B3.5B.B.B6.4B$
22.BABA4B3A3B8.9BA7B13.B.2BA2B6.4B$22.2B2A4BABAB2A3B2.2B.9B2ABA2B17.B
ABAB7.4B$20.2A.7BABA2BC19B2AB13.2A3.BABAB3.2A3.4B$20.A4.8BDBC2A11B.8B
13.A.BA3BA3BAB.A4.4B$18.A.A6.6B3D2A7B2C2B3.8B12.3AB.3B.B3A6.B3C$18.2A
7.6BD2BA8B2C2B5.B3.2A14.3B.B.3B9.C3B$26.22B10.A11.7AB.B7A6.C3B$25.2A2B
8.4B.3B.B12.3A8.A2.B2.BA.AB2.B2.A7.4B$24.A.AB10.4B19.A9.A.A.2A3.2A.A.
A9.4B$24.A14.4B29.2A.A5.A.2A11.4B$23.2A15.4B33.A.A17.4B$41.4B31.2A.2A
17.4B$42.4B53.4B$43.4B53.4B$44.4B53.4B$45.4B53.4B$46.4B53.4B$47.3BA53.
4B$48.ABAB53.4B$49.2A2B53.4B$50.4B53.4B$51.4B53.2B2A$52.4B53.2A2B$53.
4B53.BA2B$54.4B53.4B$55.4B53.4B$56.4B53.4B$57.4B53.4B$58.4B53.4B$59.4B
53.4B$60.4B53.4B$61.4B53.4B$62.4B53.4B$63.4B53.4B$64.2BAB53.4B$65.2B2A
53.4B$66.2A2B53.4B$67.4B53.4B$68.4B53.2B2A$69.4B53.BABA$70.4B53.A3B$71.
4B53.4B$72.4B53.4B$73.4B53.4B$74.4B53.4B20.4B$75.4B53.4B18.4B$76.4B17.
2A.2A31.4B16.4B$77.4B17.A.A33.4B14.4B$78.4B11.2A.A5.A.2A29.4B12.4B$79.
4B9.A.A.2A3.2A.A.A9.A19.4B10.4B$80.4B7.A2.B2.BA.AB2.B2.A8.3A12.B.3B.4B
8.4B$81.3BC6.7AB.B7A11.A10.22B$82.3BC9.3B.B.3B14.2A3.B5.2B2C8BA2BD6B7.
2A$83.3CB6.3AB.3B.B3A12.8B3.2B2C7B2A3D6B6.A.A$84.4B4.A.BA3BA3BAB.A13.
8B.11B2ACBD8B4.A$85.4B3.2A3.BABAB3.2A13.B2A19BC2BABA7B.2A$86.4B7.BABA
B17.2BAB2A9B.2B2.3B2ABABA4B2A2B$87.4B6.2BA2B.B13.7BA9B8.3B3A4BABAB$88.
4B6.B.B.5B3.2B2.8BABA8B11.7B.2BAB$89.4B2.22BCBA2B2A9B11.7B2.A3.A$90.27B
CAD4B.7B5.2A2.2B.7B3.4A$91.15B2E9BDCD13B4.A2.AB2A2B2.3B$92.14B2E11BD14B
4.3ABABA11.2A$93.6BA23B2.8B9.A.A11.2A$94.4B3A2B2.B2.3B.4B11.6B5.5A.3A
$95.3BAB2A2B9.2B3.B8.5B6.A4.A3.A$95.6B2AB9.3B.B2A8.4B9.A.A2.2A$95.3BA
B2A2B10.A3B2A8.4B9.2A$95.2BDE2AB.B2A7.A.AB.B10.B.B2A$93.3BD2BE2B.BA.A
5.A.AB15.BA.A$92.2A3BDBDB5.A5.A21.A$88.2A.A.AB.2BD4B3.2A3.2A21.2A$89.
A.A.2B6.2A$88.A2.2AB7.A$89.2A2.B8.3A$91.2A11.A$91.A$92.A$91.2A!

[BokaBB]

(I know this was technically a 30-s invention, but why not, let's have fun)
After a lot of mathematizing around I have designed the concept of the Boka machine, a machine that would be capable of doing absolutely any job given the correct input and enough tape for it (which for true perfection would need to be infinite).
CA are probably a good way to create one. I speculate AwesomeLife might be Boka-complete, meaning it would be hypothetically capable of creating a working partial (because of the infinity requirement) Boka machine. Any ideas on how we could test the Boka-completeness out, and make a Boka machine ourselves?

[hotcrystal0]

After a lot of mathematizing around I have designed the concept of the Boka machine, a machine that would be capable of doing absolutely any job given the correct input and enough tape for it (which for true perfection would need to be infinite).
CA are probably a good way to create one. I speculate AwesomeLife might be Boka-complete, meaning it would be hypothetically capable of creating a working partial (because of the infinity requirement) Boka machine. Any ideas on how we could test the Boka-completeness out, and make a Boka machine ourselves?

(In this universe, Alan Turing still existed; it’s just that most CGoL accomplishments don’t exist since most people have only ever heard of JvN29. For example, Moore still proved the garden of Eden theorem.)
I think such a device already exists… it’s called the Turing machine, created by Alan Turing, though we could refer to it as a Boka machine specifically in the context of CA.

[unname4798]

After a lot of mathematizing around I have designed the concept of the Boka machine, a machine that would be capable of doing absolutely any job given the correct input and enough tape for it (which for true perfection would need to be infinite).
CA are probably a good way to create one. I speculate AwesomeLife might be Boka-complete, meaning it would be hypothetically capable of creating a working partial (because of the infinity requirement) Boka machine. Any ideas on how we could test the Boka-completeness out, and make a Boka machine ourselves?

(In this universe, Alan Turing still existed; it’s just that most CGoL accomplishments don’t exist since most people have only ever heard of JvN29. For example, Moore still proved the garden of Eden theorem.)
I think such a device already exists… it’s called the Turing machine, created by Alan Turing, though we could refer to it as a Boka machine specifically in the context of CA.

The machine can also interact with the Internet. I call it Boka-Unname machine.

[WhiteHawk]

Unrelated to the possibility of a turing machine, but it turns out that 69 is not the lowest period of ant factory constructible with 4 transformer circuits, as other transformers produce ants at different points without the Four's FEA (First Emitted Ant) that needs the 69 repeat steps to escape. Below is the smallest transformer a-2a circuit I discovered that repeats at p69, the slightly larger (new) p65 design, and a prototype for a new p62 since the 4 to 2 ants transformer used in the other 2 fails at repeat times 64 and below even with FEA suppression.

Code: Select all

x = 308, y = 119, rule = LifeHistory
3$257.4D4.3D6.2D$257.D6.D3.D4.D2.D$257.D10.D7.D$257.4D6.D6.2D$257.D2.
D5.D7.D$257.D2.D4.D$257.4D4.4D5.D5$28.4D2.5D$28.D5.D3.D$28.D5.D3.D$28.
4D2.5D$28.D2.D6.D$28.D2.D5.D$28.4D2.3D2$153.4D4.4D$153.D6.D$153.D6.D$
153.4D4.3D$153.D2.D7.D$153.D2.D7.D$132.B20.4D3.4D$125.D6.B$124.BDBD4.
B133.A$123.2B2D5.B133.A.A2.B$122.4B138.D.2A3.B$121.4B138.BDBD4.B$105.
A.A12.4B138.2B2D5.B$104.A.2A11.4B138.4B$104.A13.4B138.4B$100.A.2A.3A9.
4B6.2A115.A.A12.4B$100.2A.A.A2.A7.4B3.2A2.A.A113.A.2A11.4B$104.3B2AB5.
4B4.A.A.A2.A112.A13.4B$106.4B4.5B5.BA.AB2A108.A.2A.3A9.4B6.2A$108.4B3.
5B4.2ABA111.2A.A.A2.A7.4B3.2A2.A.A$107.2BCA3.A.4B4.3BA.2A112.3B2AB5.4B
4.A.A.A2.A$107.BCBC.2A2.4B.4B.BABA2.A112.4B4.5B5.BA.AB2A$107.C2BEB2A8B
2A2B.BA2.2A114.B2ABA7B4.2ABA$107.BCE10B.A2BA2B119.2BE4A6B4.3BA.2A$107.
15B2A2B.BA2.2A113.BEBD3BA5B.4B.BABA2.A$105.2AB.11B.4B.BABA2.A113.E2BD
2BA8B2A2B.BA2.2A$104.A.AB3.10B3.3BA.2A115.B2E10B.A2BA2B$104.A4.5B.7B2.
2ABA118.15B2A2B.BA2.2A$53.4B20.4B22.2A4.2A4.6B3.BA.AB2A113.2AB.11B.4B
.BABA2.A$54.4B18.4B30.A3.7B2.A.A.A2.A112.A.AB3.B4.5B3.3BA.2A$19.2A.2A
31.4B16.4B28.3A5.B2E3B2.2A2.A.A113.A4.3B4.6B2.2ABA$20.A.A33.4B14.4B29.
A7.B2E2B7.2A113.2A4.2A4.6B3.BA.AB2A$15.2A.A5.A.2A29.4B12.4B37.6B129.A
3.7B2.A.A.A2.A$14.A.A.2A3.2A.A.A9.A19.4B10.4B38.6B126.3A5.B2E3B2.2A2.
A.A$5.B7.A2.B2.BA.AB2.B2.A8.3A12.B.3B.4B8.4B39.7B125.A7.B2E2B7.2A$5.B
C6.7AB.B7A11.A10.22B33.A7.4B134.5B$5.B.C9.3B.B.3B14.2A3.B5.2B2C11BD6B
7.2A25.3A4.5B134.5B$5.3CB6.3AB.3B.B3A12.8B3.2B2C9B3D6B6.A.A28.A.7B134.
5B$6.4B4.A.BA3BA3BAB.A13.8B.13BDBD8B4.A29.A.A7B127.A7.4B$7.4B3.2A3.BA
BAB3.2A13.22BD12B.2A29.BA2B.5B61.4B62.3A4.5B$8.4B7.BABAB17.15B.2B2.13B
2A2B32.2B3.6B7.2A45.2A2.4B66.A.7B$9.4B6.2BA2B.B13.17B8.10BABAB33.2B2.
2B3C2B6.A47.A.4B66.A.A7B$10.4B6.B.B.5B3.2B2.19B11.7B.2BAB32.B2A2.2BC4B
3.BA.A47.ABA2B14.4B49.BA2B.5B$11.4B2.22BD15B11.7B2.A3.A31.2A2.B3C4B2.
B2A48.BABAB.B11.4B51.2B3.6B7.2A$12.27BDBD4B.7B5.2A2.2B.7B3.4A35.11B49.
3BA3B2A9.4B53.2B2.2B3C2B6.A$13.15B2E9B3D13B4.A2.AB2A2B2.3B42.11B51.3B
.B2A8.4B53.B2A2.2BC4B3.BA.A$14.14B2E11BD14B4.3ABABA11.2A35.11B65.4B55.
2A2.B3C4B2.B2A$15.30B2.8B9.A.A11.2A36.11B29.A33.4B60.11B$16.9B2.B2.3B
.4B11.6B5.5A.3A50.7B14.A15.3A12.B.3B.4B8.2A2B61.11B$17.9B9.2B3.B8.5B6.
A4.A3.A48.8B4.2A6.3A18.A10.20B2A62.11B$17.9B9.3B.B2A8.4B9.A.A2.2A47.8B
5.A6.A20.AB3.B5.2B2C11BD4BAB7.2A55.11B29.A$17.9B10.A3B2A8.4B9.2A53.7B
2.BA.A6.2A19.A2BA4B3.2B2D9B3D6B6.A.A58.7B14.A15.3A$17.2BCE3B.B2A7.A.A
B.B10.B.B2A61.9B.B2A8.A21.2B2A4B.A2BA9BDBD8B4.A59.8B4.2A6.3A18.A$15.3B
C2BE2B.BA.A5.A.AB15.BA.A60.11B10.2AB19.AB5A2BA12BD12B.2A58.8B5.A6.A20.
2A$14.2A3BCBCB5.A5.A21.A60.6BA4B9.2AB2AB16.2B3A3B3AB2AB.2B2.13B2A2B61.
7B2.BA.A6.2A19.2B$10.2A.A.AB.2BC4B3.2A3.2A21.2A57.2AB.3BA5B.B3.B2.BA2B
2A4B11.14B2AB8.10BABAB60.9B.B2A8.B$11.A.A.2B6.2A89.A.AB2.2BA16B2A2B3A
B3.2B2.12BA4B2A11.7B.2BAB60.11B10.3B$10.A2.2AB7.A90.A5.19BACEBA2BA10B
D9BA2BA2B11.7B2.A3.A58.11B9.6B16.B$11.2A2.B8.3A86.2A5.3B2A2BA11BA2CB5A
9BDBD4B.3B3AB5.2A5.7B3.4A56.2AB.4BA4B.B3.B2.2B2A6B11.3B$13.2A11.A95.3B
2A18BAB2A8B3D13B4.A2.A.2A2B2.3B62.A.AB2.2B3A12BABA7B3.2B2.6B$13.A108.
3BA13BA5BABA11BD14B4.3A.ABA11.2A55.A5.BA3BA11BA2BCDBA13BD2B$14.A107.17B
A5B2A16B2.8B9.A.A11.2A54.2A5.3BAB2A11B2ACD2BA12BDBD3.2A$13.2A108.5B2.
3B5.BA11B.4B11.6B5.5A.3A72.A4BA12BA2BA2B2A11B3D3.2A$123.6B3.3B3.7B.B6.
2B3.B8.5B6.A4.A3.A71.3ABA15B2AB2A14BD$124.4B5.2A18.3B.B2A8.4B9.A.A2.2A
73.18B4A16B$127.2B4.A20.A3B2A8.4B9.2A79.5B2.3B5.13B.4B$126.BA2B4.3A16.
A.AB.B10.B.B2A88.6B3.3B3.7B.B6.2B3.B$126.A.A7.A15.A.AB15.BA.A88.4B5.2A
18.3B.B2A$127.A24.A21.A91.2B4.A20.A3B2A$151.2A21.2A89.BA2B4.3A16.A.AB
.B$265.A.A7.A15.A.AB$266.A24.A$290.2A!

Do note that the P69 transformer circuit can accept ants at periods as low as 65 too, but then can only produce 1 ant.

EDIT: P65 ant factory

Code: Select all

x = 139, y = 102, rule = LifeHistory
2$58.2A21.2A$59.A21.A24.A$59.A.AB15.BA.A15.A7.A.A$60.2AB.B10.B.BA.A16.
3A4.2BAB$51.2A9.4B8.2A3BA20.A4.2B10.A$46.2A2.A.A9.4B8.2AB.3B18.2A5.4B
5.3A$46.A3.A4.A6.5B8.B3.2B6.B.7B3.3B3.6B3.A$47.3A.5A5.6B11.4B.11BAB5.
3B2.5B3.2A$36.2A11.A.A9.8B2.16B2A5BA17B$36.2A11.ABAB3A4.14BD11BABA5BA
13BA3B$43.2BA2.2B2ABA2.A4.13B3D8B2ABA18B2A3B$36.4A3.2B3A2B.2B2.2A5.B3A
3B.4BDBD9B5AB2CA11BA2B2A3B5.2A$36.A3.A2.BA3BAB11.2BA2BA9BD10BA2BABECA
19B5.A$38.B2AB.2BA3BA11.2A4BA12B2.2B3.B3A2B2A16BA2B2.BA.A$38.BABA3BA6B
8.B2A14B7.B3.4B2A2BAB2.B3.B.5BA3B.B2A$38.2BA7BA6B2.2B.B2AB3A3B3A2B9.B
6.B2AB2A9.4BA6B$36.2A.BA6BA3BD12BA2B5ABA10.B8.B2A10.11B$36.A4.A4BA2BD
BDA8BA2BA.4B2A2B10.B10.A8.2AB.9B$34.A.A6.3A3BDCDA8B2D2B3.4BA2BA19.2A6.
A.AB2.7B$34.2A7.6BDB2A8B2C2B5.B3.BA20.A6.A5.8B$42.22B10.A18.3A6.2A4.8B
$41.4B8.4B.3B.B12.3A15.A14.7B$40.4B10.4B19.A29.11B$39.4B8.B3.2B51.11B
$38.4B8.2AB.3B51.11B$37.4B9.2A3BA3B49.11B$36.4B11.B.BABAB48.2AB2.4B3C
B2.2A$35.5B13.2BABA47.A.AB3.4BC2B2.2AB$34.4B17.B.A47.A6.2B3C2B2.2B$33.
2B22.2A45.2A7.6B3.2B$32.4B79.5B.2BAB$33.2B80.7BA.A$30.CB.B81.7B.A$29.
C.B83.5B4.3A$29.3C83.4B7.A$113.7B$114.6B$25.B88.6B$24.2B.B77.2A7.2B2E
B7.A$23.4B77.A.A2.2A2.3B2EB5.3A$22.4B77.A2.A.A.A2.7B3.A$6.A.A12.4B78.
2ABA.AB3.6B4.2A4.2A$5.A.2A11.4B82.AB2A2.7B.5B4.A$5.A13.4B80.2A.A3B3.10B
3.BA.A$.A.2A.3A9.4B6.2A71.A2.ABAB.4B.11B.B2A$.2A.A.A2.A7.4B3.2A2.A.A70.
2A2.AB.2B2A15B$5.3B2AB5.4B4.A.A.A2.A75.2BA2BA.10BECB$7.4B4.5B5.BA.AB2A
29.3D4.4D29.2A2.AB.2B2A8B2ABE2BC$9.12B4.2ABA31.D6.D33.A2.ABAB.4B.6B2A
BCBCB$8.2BCA3BA5B4.3BA.2A28.D6.D35.2A.A3B4.5BA3BAC2B$8.BCBCB2A6B.4B.B
ABA2.A26.4D4.3D35.AB2A4.12B$8.C2BEB2A8B2A2B.BA2.2A26.D2.D7.D31.2ABA.A
B5.5B4.4B$8.BCE10B.A2BA2B32.D2.D7.D31.A2.A.A.A4.4B5.B2A3B$8.15B2A2B.B
A2.2A26.4D3.4D33.A.A2.2A3.4B7.A2.A.A.2A$6.2AB.11B.4B.BABA2.A71.2A6.4B
9.3A.2A.A$5.A.AB3.10B3.3BA.2A80.4B13.A$5.A4.5B.7B2.2ABA82.4B11.2A.A$4.
2A4.2A4.6B3.BA.AB2A78.4B12.A.A$11.A3.7B2.A.A.A2.A77.4B$8.3A5.B2E3B2.2A
2.A.A77.4B$8.A7.B2E2B7.2A77.4B$15.6B85.4B$15.6B84.4B$15.7B82.4B$8.A7.
4B83.3AB$8.3A4.5B82.3BA$11.A.7B81.3BA$10.A.A7B80.4B$10.BA2B.5B79.4B$11.
2B3.6B7.2A45.2A20.4B$12.2B2.2B3C2B6.A47.A.B17.4B$11.B2A2.2BC4B3.BA.A47.
ABA2B13.5B$12.2A2.B3C4B2.B2A48.BABAB.B11.4B$16.11B49.3BA3B2A9.4B$16.11B
51.3B.B2A8.4B$16.11B51.2B3.B8.4B$17.11B29.A19.4B10.4B$20.7B14.A15.3A12.
B.3B.4B8.4B$19.8B4.2A6.3A18.A10.22B$18.8B5.A6.A20.AB3.B5.2B2C8B2ABD6B
7.2A$19.7B2.BA.A6.2A19.A2BA4B3.2B2D8BADCD3B3A6.A.A$18.9B.B2A8.A21.2B2A
4B.A2BA8BADBD2BA4BA4.A$18.11B10.2AB19.AB5A2BA12BD3BA6BAB.2A$18.6BA4B9.
2AB2AB16.2B3A3B3AB2AB.2B2.6BA7BA2B$16.2AB.3BA5B.B3.B2.BA2B2A4B11.14B2A
B8.6BA3BABAB$15.A.AB2.2BA16B2A2B3AB7.12BA4B2A11.A3BA2B.B2AB$15.A5.19B
ACEBA2BA2B5.3BD9BA2BA2B11.BA3BAB2.A3.A$14.2A5.3B2A2BA11BA2CB5AB5.3BDB
D4B.3B3AB5.2A2.2B.2B3A2B3.4A$23.3B2A18BAB2A5.3B3D13B4.A2.AB2A2B2.A2B$
23.3BA13BA5BABA3B3.5BD14B4.3ABABA11.2A$23.17BA5B2A4B3.9B2.8B9.A.A11.2A
$24.5B2.3B5.BA11B3.2B11.6B5.5A.3A$24.6B3.3B3.7B.B2.2B3.B3.B8.5B6.A4.A
3.A$25.4B5.2A14.2B3.2B.B2A8.4B9.A.A2.2A$28.2B4.A15.2B3.A3B2A8.4B9.2A$
27.BA2B4.3A16.A.AB.B10.B.B2A$27.A.A7.A15.A.AB15.BA.A$28.A24.A21.A$52.
2A21.2A!

[hotcrystal0]

Apparently perturbsearch/perturbsrc (not to be confused with customperturb) now supports symmetry and can report repeaters. I messed around and found this repeater:

Code: Select all

x = 17, y = 24, rule = B3/S23
3b2o7b2o$3b2o7b2o5$2b3o7b3o$bo2bo7bo2bo$o2bo9bo2bo$b3o9b3o$bo2b2o5b2o
2bo$2bo11bo$2bo11bo$bo2b2o5b2o2bo$b3o9b3o$o2bo9bo2bo$bo2bo7bo2bo$2b3o
7b3o5$3b2o7b2o$3b2o7b2o!

I think it’s the first period-31 repeater.

Edit: it can reflect ants:

Code: Select all

x = 32, y = 34, rule = B3/S23
o$b2o$2o6$9bo$7bobo$8b2o8b2o7b2o$18b2o7b2o5$10bo6b3o7b3o$8b2o6bo2bo7b
o2bo$9b2o4bo2bo9bo2bo$16b3o9b3o$16bo2b2o5b2o2bo$17bo11bo$17bo11bo$16b
o2b2o5b2o2bo$16b3o9b3o$15bo2bo9bo2bo$16bo2bo7bo2bo$17b3o7b3o5$18b2o7b
2o$18b2o7b2o!

[WhiteHawk]

I think it’s the first period-31 repeater.

Could it help complete the p62 ant factory partial? 62 is a multiple of p31.

Code: Select all

x = 72, y = 92, rule = LifeHistory
18.4D4.3D6.2D$18.D6.D3.D4.D2.D$18.D10.D7.D$18.4D6.D6.2D$18.D2.D5.D7.D
$18.D2.D4.D$18.4D3.5D5.D21$27.A$27.A.A2.B$25.D.2A3.B$24.BDBD4.B$23.2B
2D5.B$22.4B$21.4B$5.A.A12.4B$4.A.2A11.4B$4.A13.4B$A.2A.3A9.4B6.2A$2A.
A.A2.A7.4B3.2A2.A.A$4.3B2AB5.4B4.A.A.A2.A$6.4B4.5B5.BA.AB2A$8.B2ABA7B
4.2ABA$7.2BE4A6B4.3BA.2A$7.BEBD3BA5B.4B.BABA2.A$7.E2BD2BA8B2A2B.BA2.2A
$7.B2E10B.A2BA2B$7.15B2A2B.BA2.2A$5.2AB.11B.4B.BABA2.A$4.A.AB3.B4.5B3.
3BA.2A$4.A4.3B4.6B2.2ABA$3.2A4.2A4.6B3.BA.AB2A$10.A3.7B2.A.A.A2.A$7.3A
5.B2E3B2.2A2.A.A$7.A7.B2E2B7.2A$14.5B$14.5B$14.5B$7.A7.4B$7.3A4.5B$10.
A.7B$9.A.A7B$9.BA2B.5B$10.2B3.6B7.2A$11.2B2.2B3C2B6.A$10.B2A2.2BC4B3.
BA.A$11.2A2.B3C4B2.B2A$15.11B$15.11B$15.11B$16.11B29.A$19.7B14.A15.3A
$18.8B4.2A6.3A18.A$17.8B5.A6.A20.2A$18.7B2.BA.A6.2A19.2B$17.9B.B2A8.B
$17.11B10.3B$17.11B9.6B16.B$15.2AB.4BA4B.B3.B2.2B2A6B11.3B7.D3.D$14.A
.AB2.2B3A12BABA7B3.2B2.6B8.D.D$14.A5.BA3BA11BA2BCDBA13BD2B9.D$13.2A5.
3BAB2A11B2ACD2BA12BDBD3.2E3.D.D$20.A4BA12BA2BA2B2A11B3D3.2E2.D3.D$20.
3ABA15B2AB2A14BD$22.18B4A16B$23.5B2.3B5.13B.4B$23.6B3.3B3.7B.B6.2B3.B
$24.4B5.2A18.3B.B2A$27.2B4.A20.A3B2A$26.BA2B4.3A16.A.AB.B$26.A.A7.A15.
A.AB$27.A24.A$51.2A!

Currently the 4 to ant - capped 4 to 2 ants - doesn't work below p65. Maybe the SPARKs on the p31 can help support the reaction at p62.

[hotcrystal0]

Could it help complete the p62 ant factory partial? 62 is a multiple of p31.

Code: Select all

x = 72, y = 92, rule = LifeHistory
18.4D4.3D6.2D$18.D6.D3.D4.D2.D$18.D10.D7.D$18.4D6.D6.2D$18.D2.D5.D7.D
$18.D2.D4.D$18.4D3.5D5.D21$27.A$27.A.A2.B$25.D.2A3.B$24.BDBD4.B$23.2B
2D5.B$22.4B$21.4B$5.A.A12.4B$4.A.2A11.4B$4.A13.4B$A.2A.3A9.4B6.2A$2A.
A.A2.A7.4B3.2A2.A.A$4.3B2AB5.4B4.A.A.A2.A$6.4B4.5B5.BA.AB2A$8.B2ABA7B
4.2ABA$7.2BE4A6B4.3BA.2A$7.BEBD3BA5B.4B.BABA2.A$7.E2BD2BA8B2A2B.BA2.2A
$7.B2E10B.A2BA2B$7.15B2A2B.BA2.2A$5.2AB.11B.4B.BABA2.A$4.A.AB3.B4.5B3.
3BA.2A$4.A4.3B4.6B2.2ABA$3.2A4.2A4.6B3.BA.AB2A$10.A3.7B2.A.A.A2.A$7.3A
5.B2E3B2.2A2.A.A$7.A7.B2E2B7.2A$14.5B$14.5B$14.5B$7.A7.4B$7.3A4.5B$10.
A.7B$9.A.A7B$9.BA2B.5B$10.2B3.6B7.2A$11.2B2.2B3C2B6.A$10.B2A2.2BC4B3.
BA.A$11.2A2.B3C4B2.B2A$15.11B$15.11B$15.11B$16.11B29.A$19.7B14.A15.3A
$18.8B4.2A6.3A18.A$17.8B5.A6.A20.2A$18.7B2.BA.A6.2A19.2B$17.9B.B2A8.B
$17.11B10.3B$17.11B9.6B16.B$15.2AB.4BA4B.B3.B2.2B2A6B11.3B7.D3.D$14.A
.AB2.2B3A12BABA7B3.2B2.6B8.D.D$14.A5.BA3BA11BA2BCDBA13BD2B9.D$13.2A5.
3BAB2A11B2ACD2BA12BDBD3.2E3.D.D$20.A4BA12BA2BA2B2A11B3D3.2E2.D3.D$20.
3ABA15B2AB2A14BD$22.18B4A16B$23.5B2.3B5.13B.4B$23.6B3.3B3.7B.B6.2B3.B
$24.4B5.2A18.3B.B2A$27.2B4.A20.A3B2A$26.BA2B4.3A16.A.AB.B$26.A.A7.A15.
A.AB$27.A24.A$51.2A!

I think so. Using a square to suppress the 4's before they completely form and then using the repeater can extract a second stream of ants:

Code: Select all

x = 80, y = 64, rule = B3/S23
27bo$27bobo$27b2o5$5bobo$4bob2o$4bo$ob2ob3o19b2o$2obobo2bo14b2o2bobo$
7b2o14bobobo2bo$25bobob2o$9b2obo11b2obo$9b5o13bob2o$8bo5bo12bobo2bo$7b
o5bo8b2o4bo2b2o$8b2o11bo2bo$22b2o4bo2b2o$5b2o20bobo2bo$4bobo20bob2o$4b
o19b2obo$3b2o4b2o14bobob2o$10bo12bobobo2bo$7b3o6b2o5b2o2bobo$7bo8b2o9b
2o4$7bo$7b3o$10bo$9bobo$10bo$28b2o34b2o4b2o$17b3o8bo33bo3bo2bo3bo$11b
2o4bo8bobo33b2o3b2o3b2o$11b2o3b3o7b2o28b2o4b3ob4ob3o4b2o$56b2o7b6o7b2o
$65b2o2b2o$61b2o2bo4bo2b2o$63bo8bo$40bo$30b2o6b3o22bo8bo$30bo6bo23b2o
2bo4bo2b2o$28bobo6b2o26b2o2b2o$28b2o26b2o7b6o7b2o$50b2o4b2o4b3ob4ob3o
4b2o$50b2o10b2o3b2o3b2o$15b2o6bo14b2o22bo3bo2bo3bo$14bobo5b3o12bobo24b
2o4b2o$14bo6bo3bo11bo2bo2bo$13b2o8bob2o11b3o3bo$20bo4bo12bo2bo2b2o$20b
3obo15b2ob2o$40b4o3$33b2o$33bo$27bo6b3o$26bobo7bo$27bo!

[WhiteHawk]

I think so. Using a square to suppress the 4's before they completely form and then using the repeater can extract a second stream of ants:

Code: Select all

x = 80, y = 64, rule = B3/S23
27bo$27bobo$27b2o5$5bobo$4bob2o$4bo$ob2ob3o19b2o$2obobo2bo14b2o2bobo$
7b2o14bobobo2bo$25bobob2o$9b2obo11b2obo$9b5o13bob2o$8bo5bo12bobo2bo$7b
o5bo8b2o4bo2b2o$8b2o11bo2bo$22b2o4bo2b2o$5b2o20bobo2bo$4bobo20bob2o$4b
o19b2obo$3b2o4b2o14bobob2o$10bo12bobobo2bo$7b3o6b2o5b2o2bobo$7bo8b2o9b
2o4$7bo$7b3o$10bo$9bobo$10bo$28b2o34b2o4b2o$17b3o8bo33bo3bo2bo3bo$11b
2o4bo8bobo33b2o3b2o3b2o$11b2o3b3o7b2o28b2o4b3ob4ob3o4b2o$56b2o7b6o7b2o
$65b2o2b2o$61b2o2bo4bo2b2o$63bo8bo$40bo$30b2o6b3o22bo8bo$30bo6bo23b2o
2bo4bo2b2o$28bobo6b2o26b2o2b2o$28b2o26b2o7b6o7b2o$50b2o4b2o4b3ob4ob3o
4b2o$50b2o10b2o3b2o3b2o$15b2o6bo14b2o22bo3bo2bo3bo$14bobo5b3o12bobo24b
2o4b2o$14bo6bo3bo11bo2bo2bo$13b2o8bob2o11b3o3bo$20bo4bo12bo2bo2b2o$20b
3obo15b2ob2o$40b4o3$33b2o$33bo$27bo6b3o$26bobo7bo$27bo!

Excellent! Of course this leaves p63 and p64 factories which don't exist yet but could theoretically be supported by the transformer circuit.

EDIT: Success!

Code: Select all

x = 156, y = 167, rule = B3/S23
36b2o$35bobo$29b2o4bo$27bo2bo2b2ob4o$27b2obobobobo2bo$30bobobobo$30bo
bob2o$31bo2$44b2o$35b2o7bo$35b2o5bobo$42b2o4$26bo$26bobo$26b2o$9bo22b
2o$9b3o21bo6b3o$12bo17b3o7bo$11b2o17bo10bo3$3b2o$3bo9b3o$2obo8bo3bo$o
2b3o5bo5bo$b2o3bo4bo5bo$3b4o4bo5bo$3bo8bo3bo2b2o$4b3o6b3o3bobo$7bo13b
o$2b5o14b2o$2bo53b2o$4bo51bobo$3b2o51bo9$27bo$25bobo$26b2o3$71b3o$71b
o$72bo4$52bo$50b3o$49bo$49b2o$42bo$43bo$41b3o13b2o$58bo$58bob2o66bo$50b
2o4b3o2bo25b2o30bo7bobo$50b2o3bo3b2o26bobo29b3o6bo$55b4o28bo34bo16b2o
$41b2o15bo62b2o16bo$40bobo12b3o79bobo$40bo13bo58b2o22b2o$39b2o14b5o51b
2o2bo18bo$59bo50bo5bo17b2o$57bo52bo2b2o2bo11b2ob2obo$57b2o51b3ob2ob2o
10b2o10b2o$42bo72bo2bo10b2o10bo$42bobo40bo4bo24b2obo12b3o5bobo$42b2o38b
ob8obo22b2o13b3o5b2o$81bo2b2o4b2o2bo9b2o$76b2o4bobo6bobo4b2o4b2o$76b2o
5bo8bo5b2o26b2o$84bo6bo25b2o6bobo$20bobo59bob3o2b3obo24bo6bo$19bob2o59b
o10bo21b3o6b2o$19bo95bo$15bob2ob3o19b2o38bo10bo$15b2obobo2bo14b2o2bob
o37bob3o2b3obo$22b2o14bobobo2bo38bo6bo$40bobob2o30b2o5bo8bo5b2o38bo$24b
2obo11b2obo33b2o4bobo6bobo4b2o28b2o7b3o3b2o$24b5o13bob2o35bo2b2o4b2o2b
o32bobo6bo6b2o$23bo5bo12bobo2bo34bob8obo33bo9b2o$22bo5bo8b2o4bo2b2o37b
o4bo35b2o9bo$23b2o11bo2bo105bo$37b2o4bo2b2o96bobo$20b2o20bobo2bo97bo$
19bobo20bob2o100b3o$19bo19b2obo105bo$18b2o4b2o14bobob2o$25bo12bobobo2b
o$22b3o6b2o5b2o2bobo$22bo8b2o9b2o83b2o9b2o8bo$126bobo2b2o5b2o6b3o$125b
o2bobobo12bo$125b2obobo14b2o4b2o$22bo105bob2o19bo$22b3o100b2obo20bobo
$25bo97bo2bobo20b2o$24bobo96b2o2bo4b2o$25bo105bo2bo12bo$43b2o34b2o4b2o
36b2o2bo4b2o12bobo$32b3o8bo33bo3bo2bo3bo34bo2bobo12bo2b4o$26b2o4bo8bo
bo33b2o3b2o3b2o36b2obo13b2o3bo$26b2o3b3o7b2o28b2o4b3ob4ob3o4b2o33bob2o
10b2o2bo$71b2o7b6o7b2o30b2obobo15b2o$80b2o2b2o39bo2bobobo14b2o$76b2o2b
o4bo2b2o36bobo2b2o14bo2bobob2o$78bo8bo39b2o19b3ob2obo$55bo95bo$45b2o6b
3o22bo8bo60b2obo$45bo6bo23b2o2bo4bo2b2o58bobo$43bobo6b2o26b2o2b2o$43b
2o26b2o7b6o7b2o$65b2o4b2o4b3ob4ob3o4b2o$65b2o10b2o3b2o3b2o$30b2o6bo14b
2o22bo3bo2bo3bo38b2o$29bobo5b3o12bobo24b2o4b2o41b2o$29bo6bo3bo11bo2bo
2bo68bo$28b2o8bob2o11b3o3bo$35bo4bo12bo2bo2b2o$35b3obo15b2ob2o$55b4o3$
48b2o$48bo32bobo$42bo6b3o30b2o$41bobo7bo30bo$42bo2$112bo$112b2o$111bo
bo$102bo$20bo79b3o$20bobo76bo$20b2o77b2o4$97bo$98b2o$98bo$89b2o$88bob
o4bo2bo$88bo7b2o$87b2o2$101bo$97b2obobo$96bobobobo$93bo2bobobobob2o$93b
4ob2o2bo2bo$97bo4b2o$95bobo$95b2o!

[hotcrystal0]

Unrelated to the possibility of a turing machine, but it turns out that 69 is not the lowest period of ant factory constructible with 4 transformer circuits, as other transformers produce ants at different points without the Four's FEA (First Emitted Ant) that needs the 69 repeat steps to escape. Below is the smallest transformer a-2a circuit I discovered that repeats at p69, the slightly larger (new) p65 design, and a prototype for a new p62 since the 4 to 2 ants transformer used in the other 2 fails at repeat times 64 and below even with FEA suppression.

Who says it doesn't work at P62? Here it is, perfectly fine:

Code: Select all

x = 100, y = 65, rule = B3/S23
27bo$27bobo$27b2o5$5bobo$4bob2o$4bo$ob2ob3o19b2o$2obobo2bo14b2o2bobo$
7b2o14bobobo2bo$25bobob2o$9b2obo11b2obo$9b5o13bob2o$8bo5bo12bobo2bo$7b
o5bo8b2o4bo2b2o$8b2o11bo2bo$22b2o4bo2b2o$5b2o20bobo2bo$4bobo20bob2o$4b
o19b2obo$3b2o4b2o14bobob2o$10bo12bobobo2bo$7b3o6b2o5b2o2bobo$7bo8b2o9b
2o4$7bo$7b3o$10bo$9bobo$10bo$28b2o$17b3o8bo47b2o$11b2o4bo8bobo48bo$11b
2o3b3o7b2o49bobo$78bobo$79bo3b2o$83b2o$56bo$40bo15b3o$30b2o6b3o18bo$30b
o6bo20b2o11b2o7b2o16b2o$28bobo6b2o20b2ob2obo5b2o24bobo$28b2o30b2obo2b
o13bobo14bo$60bo5bo17bo11b2o$62bobo2b2o13b2obob2o3b2o$15b2o6bo14b2o21b
2obo3bo15b2obo4bobo$14bobo5b3o12bobo22bobobobo17bo7bo$14bo6bo3bo11bo2b
o2bo21b3o25bo3bo$13b2o8bob2o11b3o3bo32b2o15b4o$20bo4bo12bo2bo2b2o9bob
o19bo2bob2o$20b3obo15b2ob2o10b2o21b3obobo11b2o$40b4o12bo25bobo11b2o$78b
5ob3o$78bo4bo3bo$33b2o23b2o21bobo2b2o$33bo20bo3b2o21b2o$27bo6b3o16bob
o16b2o$26bobo7bo15bobo17bobo$27bo24bo21bo$51b2o21b2o!