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Omosso (B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n)

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Omosso (B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n)

Postby 77topaz » January 1st, 2019, 2:56 am

This is a rule that was first mentioned on these forums by Saka in 2016, and rediscovered, investigated and apgsearched from August 2018 onwards by me, Danny and Heavpoot. It displays a lot of interesting and unique behaviour, but I noticed that there was never a thread made about it on the forum.

Firstly, in this rule the B-heptomino is a c/98 orthogonal ship that moves in a very strange, spin-y way:
x = 3, y = 4, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
o$2o$b2o$2o!


These B-ships can be combined into OMOSes, and what is astonishing is how many different ways this can be done; this variety of OMOSes gave the rule its name. There are at least ten known OMOSes, at various different periods:

p600:
x = 12, y = 3, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
2obo5bo$b3o4b3o$2bo5bob2o!


p800:
x = 7, y = 10, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
bo$3o$ob2o5$3b2obo$4b3o$5bo!


p800 (2):
x = 14, y = 5, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
2o8b3o$o3b2o4bo2bo$4bobo3bob2o2$4b2o!


p800 (3):
x = 19, y = 19, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
7bo$6b3o$5b2obo3$16bo$16b2o$17b2o$16b2o2$b2o$2o$b2o$2bo3$10bob2o$10b3o$11bo!


p800 (4):
x = 13, y = 4, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
10bo$2obo5b3o$b3o5bob2o$2bo!


p1000:
x = 9, y = 9, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
b2o$2o$b2o$2bo2$6bo$6b2o$7b2o$6b2o!


p1000 (2):
x = 14, y = 14, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
8bo$7b3o$6b2obo2$b2o$2o$b2o8bo$2bo8b2o$12b2o$11b2o2$4bob2o$4b3o$5bo!


p1200:
x = 13, y = 3, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
2obo6bo$b3o5b3o$2bo6bob2o!


p1400:
x = 12, y = 4, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
9bo$2obo4b3o$b3o4bob2o$2bo!


p1970:
x = 20, y = 20, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
b2o$2o$b2o$2bo14$16b2obo$17b3o$18bo!


And the B-ship and OMOSes aren't the only interesting things this rule has to offer, either. There's a p112 RRO with a multiplicity of four:
x = 53, y = 19, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
b2o42b2o$2ob2o39b2ob2o$o3bo39bo3bo$bo2bo40bo2bo$2b2o31b3o8b2o$35bo2bo$
34bo3bo$34b2obo$35b2o2$50b2o$49bob2o$48bo3bo$48bo2bo$39b2o8b3o$38bo2bo
$38bo3bo$38b2ob2o$40b2o!


A natural 50c/100 ship, which is actually very close to the c/98 B-ship, as in one phase it is just a B-heptomino plus a crucial spark:
x = 7, y = 5, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
4bo$4b2o$5b2o$4b2o$obo!


The c/98 ships can be combined with each other to double the overall period:
x = 12, y = 10, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
2bo$b3o$o2b2o$2o2bo$4bo$9b3o$8bo2bo$11bo$7bo$7b2o!


Or to quadruple it:
x = 38, y = 34, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
2bo$b3o$2o2bo$o2b2o$o7$32bo$31bobob3o$31bo2bo2bo$30b2ob2o2bo$8bo22b6o$5b3o$4b
obo2b2o$3bobob2obo$2b2o3bo$3b3obo$7bo$5b2ob2o$6b3o$7bo3$21b3o$21b4o$19b2o2bo$
18bobo$18bo$18b2o$20bo!


They can form non-trivial, interacting combinations large enough that apgsearch can only classify them as ov_p98:
x = 16, y = 16, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
3b2o2bo2b5o$obo2bobob4o$ob5obobo$4ob3o4bo$bobobo3b3obobo$bo4bo2b3o2b2o
$2b2o2bobobo2b3o$2b5o2bo5bo$2bobob3obobo2bo$4ob2obo2bo2b2o$obobobobobo
b3o$2b2obob2o2bobo$b2ob3o6bo$2bo5b2obo2bo$ob4o3bo4b2o$2o3b3obo2b3o!


As well as c/98 rakes that emit 50c/100 ships:
x = 16, y = 16, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
2b3o3bobo$b2o2b3o3bo3bo$obo6bo2b4o$2b2ob3obo4bo$obobobobo2bobo$2o6bo2b
5o$o2b2ob3o3b4o$bob9ob3o$2b2o2b2ob7o$5ob3ob2ob3o$3o4bob4o2bo$b3obobo2b
2o3bo$2bo2bo2bo6bo$8bobo2bobo$o2bo2bob2ob3o$obobo3bo2b2o!


There are also numerous lower-period orthogonal ships, such as this 2c/4:
x = 8, y = 5, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
5bo$2ob4o$b2o3b2o$6bo$3b3o!


These related 5c/11s:
x = 41, y = 17, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
36b2o$2b2o31bobo$bobo30b2obo$2obo31bobo$bobo31b3o$b3o$40bo$40bo2$40bo$
40bo$b3o$bobo31b3o$2obo31bobo$bobo30b2obo$2b2o31bobo$36b2o!


This 6c/12:
x = 12, y = 10, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
b3o4b3o$o2bo4bo2bo$o10bo$b2o6b2o$3bo4bo3$5b2o2$5b2o!


This 8c/16:
x = 18, y = 15, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
b2o12b2o$obo12bobo$o16bo$obo12bobo$b2o12b2o6$5b3o2b3o$4bo2b4o2bo$3bo3b
o2bo3bo$4bo2bo2bo2bo$4b3o4b3o!


And this 14c/28:
x = 6, y = 15, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
2o$b3o$4bo$bo2bo$2b3o2$3b3o$5bo$3b3o2$2b3o$bo2bo$4bo$b3o$2o!


There are no known non-orthogonal ships, however, and the only low periods for which oscillators are currently known are p2 and p6.

Altogether, this is a highly unusual and interesting rule, worthy of more attention and research! :)
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Re: Omosso (B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n)

Postby AforAmpere » January 1st, 2019, 12:31 pm

C/4 diagonal:
x = 9, y = 33, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
4bo$4b2o$2b2obo$2bo$3o$2bo$2bo$3bobo$2bob3o$3bo2bo$3o$2o$bo$2o$bo$bob
3o$3bob2o$6bo$2bo2bo$4bo2$bobo3bo$2bo2b4o$8bo2$4b3o$5bo$4b3o$4bobo$2b
2o2bo$2bobo$3bo$3b2o!
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
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Re: Omosso (B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n)

Postby 77topaz » January 1st, 2019, 3:26 pm

Nice! Goldtiger997 has also been ntgfind-ing this rule and posted a different c/4 diagonal on the Discord:
x = 13, y = 14, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
8bo$4bo2bobo$4bo2b2obo$2b6obobo$2bo$2o8b2o$b2o7b3o2$9bo2bo$10bo$9b4o$
9bo$7b2o$8b2o!


Interestingly, both have almost-gliders at the front edge of the spaceship.
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Re: Omosso (B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n)

Postby Saka » January 1st, 2019, 10:19 pm

Wow, I didnt realize this rule would be so interesting :)
Ntzfind could only find this c/2o and tagalong
x = 29, y = 9, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
5b2o15b2o$3b2o2b2o11b2o2b2o$b2obo2bob2o7b2obo2bob2o$bo8bo7bo8bo$3o6b3o
5b3o6b3o2$4b4o$2b2o4b2o$4bo2bo!
If you're the person that uploaded to Sakagolue illegally, please PM me.
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
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Re: Omosso (B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n)

Postby 77topaz » January 2nd, 2019, 4:49 am

A new, different 8c/16, found by an anonymous Catagolue user:
x = 27, y = 16, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
bo6b3o5b3o6bo$3o4bo2bo5bo2bo4b3o$ob2o3bo3bo3bo3bo3b2obo$8b4o3b4o$10bo5bo7$11b
2ob2o$11b2ob2o$10bo5bo$12bobo$13bo!
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Re: Omosso (B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n)

Postby Hdjensofjfnen » January 3rd, 2019, 1:47 am

What the?
x = 21, y = 7, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
2b3o11b3o$2bo2bo9bo2bo$bo17bo$2obo13bob2o$3o2bo9bo2b3o$o19bo$bo17bo!

EDIT: Nevermind, it's a backrake.

EDIT 2: Backrake that fires forward:
x = 22, y = 11, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
17b3o$16bo2bo$20bo$18bob2o$2b3o11bo2b3o$2bo2bo15bo$bo18bo$2obo$3o2bo$o
$bo!
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 3, rule = B3-r4j/S2-i3
o5bo$2o3b2o$b2ob2o!
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Re: Omosso (B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n)

Postby Hdjensofjfnen » January 3rd, 2019, 7:26 pm

Possibly useful in creating puffers:
x = 24, y = 7, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
b3o16b3o$o2bo16bo2bo$4bo14bo$2bob2o12b2obo$o2b3o12b3o2bo$5bo12bo$4bo
14bo!

x = 25, y = 7, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
b3o17b3o$o2bo17bo2bo$4bo15bo$2bob2o13b2obo$o2b3o13b3o2bo$5bo13bo$4bo
15bo!
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 3, rule = B3-r4j/S2-i3
o5bo$2o3b2o$b2ob2o!
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Re: Omosso (B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n)

Postby 77topaz » January 3rd, 2019, 8:37 pm

A forward-firing backrake made by combining two of Hdjensofjfnen's sparky 50c/100 pairs together:
x = 62, y = 7, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
b3o16b3o16b3o16b3o$o2bo16bo2bo14bo2bo16bo2bo$4bo14bo22bo14bo$2bob2o12b
2obo18bob2o12b2obo$o2b3o12b3o2bo14bo2b3o12b3o2bo$5bo12bo24bo12bo$4bo
14bo22bo14bo!


EDIT: A rake interaction that started as an attempt to create a breeder, before I realised this strategy could not work because both rakes needed to be siderakes:
x = 66, y = 2465, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
15bob4o$15bo4b2o$3bo13b2o2b2o$2b3o15b2o$bo2bo12bobo$b2ob2o11bobo$obo$
3o4$25b2o$26bob2o$26bo2bo$26b3o45$25b3o2$29bo$26bo2bo$27b3o41$29bobo$
29bo3$26bo$27bo$27bo3bo$28bo2bo$28b3o42$30b2o$30bobo$26bo2bob3o$27bo4b
o$29bobobo$28b2o2bo$28bo2bo$29b3o43$28b2ob2o$28b3o2bo$28b2obobo$28bo4b
2o$30bo2bo$30bo2bo$30b3o43$31b2o$33bo$30bo$29b2o2b2o$30b2o2bo$30bo2bo$
31b3o43$33bo$30bo$30bob2o$30bobo$31bo2b2o$32bo2bo$32b3o37$39b2o$39b2o
5$33b3o$34b2o$31bobo$31b2o$32bo2bo$32bo2bo$33b3o37$41bo$40bo$40b2o5$
39bo$34b4obo$33b3o3bo$33bo$34bo2bo$34b3o29$43b2o$43bobo$42b2o2$42b2o5$
42b2o$41bo2bo$38bo2b2o2bo$37bo6bo$43bo2$39bo$40bo$38b3o$34b2obo$34bo2b
o$35b3o30$44bo$44b2o$45b2o$39bo4b2o$39bo3b3o5$43bo$43b2o$37b3o2bob2o$
42b3o$36bobob2obo$40b2o$40b2o$40bo$36bo$36bo2bo$36b3o32$42bob2o$40bo2b
ob2o$42bo3bo$38bobo3bo6$40bo2b2o$44b2o$39bo4bo$38b2o3bo$37b5o$40bo$39b
o$36bo2bo$37b3o33$44b2o$44bobo$41b4ob2o$40b3o3bo$40bo5bo2$42bo2$43b2o$
41bo$42b2obo$40b2o2b2o$39bo2bo$37bo$37bo3bo$38bo2bo$38b3o32$39bobo$39b
obo$45bo$45b2o$46b2o$42b3obo$40bobo$39b3ob3o$39b2obo$41bo$41bo2bo$43b
3o$41bobobo$41bo3bo$43b2o$38b2obo$38bo2bo$39b3o33$40b2o$42bobo$39bo2bo
2bo$46bo$46b2o$43bob2o$43bobo$40bo2bo$40b3obo$43b2o$42bobo$42bob2o$45b
o$43b3o$40bo$40bobo$40b3o34$42bo$41b2o$43bobo$40bob2ob2o$40bo5b2o$41bo
bob2o$42bo$41b2obo$42b3o2$43b2o$41b2o2bo$41b2o2bo$40bobob2o$41bobo$41b
3o36$43b2o$42b2obo$44bobo$41bobo2b2o$42b2ob2o$42bo$43b3o$44bo3$43b3o$
41b2o2bo$42bo2bo$42b3o38$44b2o$43b2ob2o$43bobobo$43b2o$44b3o$45bo3$44b
o$45bo$43bobo$43b3o39$45b2o$45bobo$47bo$45b3o$46bo2$46bo2$43b2o$44bo2b
o$44b3o41$45b3o$47bo$46b2o$42b2o$42b2ob2o$42b2o4bo$48bo$44bo2bo$45b3o
42$46b2o$45bobo$44bo2bo$43bo2bo$43b3o$46bob2o$46bo2bo$46b3o43$46bo$45b
ob2o$44bo4bo$45bo$45bo3bo$46bo2bo$47b3o43$47bo$46bo$46b3o2bo$46b2obo$
47bo$48bo2bo$48b3o44$49bob2o$48b3o$47b3o2bo$48bo3bo$48bo2bo$49b3o45$
52b2o$49b2obo$49bo3bo$50bo2bo$50b3o35$26bob4o$26bo4b2o$14bo13b2o2b2o$
13b3o15b2o$12bo2bo12bobo$12b2ob2o11bobo$11bobo$11b3o4$36b2o15b2o$37bob
2o9b2obo$37bo2bo9bo2bo$37b3o11b3o45$36b3o2$40bo$37bo2bo$38b3o41$40bobo
$40bo3$37bo$38bo$38bo3bo$39bo2bo$39b3o42$41b2o$41bobo$37bo2bob3o$38bo
4bo$40bobobo$39b2o2bo$39bo2bo$40b3o43$39b2ob2o$39b3o2bo$39b2obobo$39bo
4b2o$41bo2bo$41bo2bo$41b3o43$42b2o$44bo$41bo$40b2o2b2o$41b2o2bo$41bo2b
o$42b3o43$44bo$41bo$41bob2o$41bobo$42bo2b2o$43bo2bo$43b3o37$50b2o$50b
2o5$44b3o$45b2o$42bobo$42b2o$43bo2bo$43bo2bo$44b3o37$52bo$51bo$51b2o5$
50bo$45b4obo$44b3o3bo$44bo$45bo2bo$45b3o29$54b2o$54bobo$53b2o2$53b2o5$
53b2o$52bo2bo$49bo2b2o2bo$48bo6bo$54bo2$50bo$51bo$49b3o$45b2obo$45bo2b
o$46b3o30$55bo$55b2o$56b2o$50bo4b2o$50bo3b3o5$54bo$54b2o$48b3o2bob2o$
53b3o$47bobob2obo$51b2o$51b2o$51bo$47bo$47bo2bo$47b3o32$53bob2o$51bo2b
ob2o$53bo3bo$49bobo3bo6$51bo2b2o$55b2o$50bo4bo$49b2o3bo$48b5o$51bo$50b
o$47bo2bo$48b3o33$55b2o$55bobo$52b4ob2o$51b3o3bo$51bo5bo2$53bo2$54b2o$
52bo$53b2obo$51b2o2b2o$50bo2bo$48bo$48bo3bo$49bo2bo$49b3o32$50bobo$50b
obo$56bo$56b2o$57b2o$53b3obo$51bobo$50b3ob3o$50b2obo$52bo$52bo2bo$54b
3o$52bobobo$52bo3bo$54b2o$49b2obo$49bo2bo$50b3o33$51b2o$53bobo$50bo2bo
2bo$57bo$57b2o$54bob2o$54bobo$51bo2bo$51b3obo$54b2o$53bobo$53bob2o$56b
o$54b3o$51bo$51bobo$51b3o34$53bo$52b2o$54bobo$51bob2ob2o$51bo5b2o$52bo
bob2o$53bo$52b2obo$53b3o2$54b2o$52b2o2bo$52b2o2bo$51bobob2o$52bobo$52b
3o36$54b2o$53b2obo$55bobo$52bobo2b2o$53b2ob2o$53bo$54b3o$55bo3$54b3o$
52b2o2bo$53bo2bo$53b3o38$55b2o$54b2ob2o$54bobobo$54b2o$55b3o$56bo3$55b
o$56bo$54bobo$54b3o39$56b2o$56bobo$58bo$56b3o$57bo2$57bo2$54b2o$55bo2b
o$55b3o41$56b3o$58bo$57b2o$53b2o$53b2ob2o$53b2o4bo$59bo$55bo2bo$56b3o
42$57b2o$56bobo$55bo2bo$54bo2bo$54b3o$57bob2o$57bo2bo$57b3o43$57bo$56b
ob2o$55bo4bo$56bo$56bo3bo$57bo2bo$58b3o43$58bo$57bo$57b3o2bo$57b2obo$
58bo$59bo2bo$59b3o44$60bob2o$59b3o$58b3o2bo$59bo3bo$59bo2bo$60b3o45$
63b2o$60b2obo$60bo3bo$61bo2bo$61b3o46$64b2o$61b2obo$61bo2bo$62b3o!
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Re: Omosso (B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n)

Postby 77topaz » February 3rd, 2019, 9:50 pm

A few more ships that Goldtiger997 found with ntgfind on the same day as his c/4 diagonal ship and posted on the Discord:
x = 55, y = 78, rule = B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
33b4o10b4o$31bob2o14b2obo$33b2o3bo6bo3b2o$30bo2bobo2bo6bo2bobo2bo$31bo
5bobo4bobo5bo$31bo20bo$33bob2o2bo4bo2b2obo$30bo3bob2o8b2obo3bo$33bob2o
10b2obo$31bobo16bobo$32bo18bo$32b3o14b3o3$32b3o14b3o$31b5o12b5o$32bobo
14bobo$33bo16bo$33bo16bo$34b2o12b2o$34b2o12b2o$34bobo10bobo$33b2obo10b
ob2o$34b2o12b2o$33bo6b4o6bo$34b3o2bo4bo2b3o$35bo3b6o3bo$36b2o8b2o$32bo
bobo3bo2bo3bobobo$32b3o5bo2bo5b3o$34b2o2bo6bo2b2o$32bo5b2o4b2o5bo$31bo
3bo2bob4obo2bo3bo$35b2obobo2bobob2o$32bob2o5b2o5b2obo$29b4o18b4o$29b2o
bo18bob2o$30bo22bo$32bobo14bobo$34bo14bo$34bo14bo$35b3o8b3o$35b2obo6bo
b2o$36b2obob2obob2o2$29b2o6bobo4bobo6b2o$31bo2bobo2b2o2b2o2bobo2bo$30b
o2bobobobo4bobobobo2bo$30bo4bobo8bobo4bo$32b2ob3o8b3ob2o$6bobo7bobo10b
obobo16bobobo$6bo4bobo4bo17bo2bo4bo2bo$6bo2bob3obo2bo11b3o6bo4bo6b3o$
5bob2o2bobo2b2obo12bo3b3o6b3o3bo$9b3ob3o17bob2o2bo4bo2b2obo$5bobo2bo3b
o2bobo11b2ob4o2b4o2b4ob2o$4b4obo5bob4o11bo2b2o10b2o2bo$6bobobo3bobobo
10bo2bo18bo2bo$31bo4bobo6bobo4bo$6bob3o3b3obo11bo5bobobo2bobobo5bo$4bo
b2o9b2obo16bobo4bobo$4bo2bo9bo2bo10bobob2o3b4o3b2obobo$3b2obobo7bobob
2o9b2ob4o8b4ob2o$5b4o7b4o14bo14bo$3bo2bobo7bobo2bo12b5o6b5o$4b2ob3o5b
3ob2o16b2o6b2o$7bob3ob3obo19bo8bo$4bo15bo$3bo4bo2bobo2bo4bo14b2o8b2o$
2bobo3b2o5b2o3bobo14bo8bo$2b2o2bobo7bobo2b2o12b2o2bo4bo2b2o$2obo3bo9bo
3bob2o8bo2bo3bo2bo3bo2bo$bo3bo2bo7bo2bo3bo8bobo2b2o6b2o2bobo$bo7bobobo
bo7bo8bo3bo10bo3bo$2b3obobob2ob2obobob3o11b2o2bobo2bobo2b2o$3bob2o2bob
obobo2b2obo14bo2b2o2b2o2bo$6bo2bo5bo2bo14bo2b2o3b2o3b2o2bo$8b2o5b2o17b
2o12b2o!


He said he'd post them on the forums after running searches for a few more speeds, but he must not have gotten around to doing so. These are both c/3 orthogonal.
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