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B3-n4w/S23-r4qt

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B3-n4w/S23-r4qt

Postby danny » December 31st, 2017, 3:11 am

A more engineering-friendly version of B3-n4w/S23-r4t. It probably has support for weird 'mini-basilisks' like HighLife and tHighLife

This rule is like another rule previously posted, but with S4q added. It was originally discovered to contain a small, diagonal spaceship, namely the ant, but it has so much more. Here's a common, sparky p23:
x = 34, y = 7, rule = B3-n4w/S23-r4qt
2b2o26b2o$bobo9bo6bo9bobo$o11b3o4b3o11bo$o2bo2b2o3b2ob2o2b2ob2o3b2o2bo
2bo$o11b3o4b3o11bo$bobo9bo6bo9bobo$2b2o26b2o!

There's probably a gun to be made, but I unfortunately could not find one.

This p6 is also 785 times more common because of a small predecessor:
x = 4, y = 5, rule = B3-n4w/S23-r4qt
bo$b2o$o2bo$b2o$bo!


Along with the previous rule's replicator, this one has a new additional replicator, whose speed is 21c/48 instead of 11c/25:
x = 3, y = 15, rule = B3-n4w/S23-r4qt
3o$obo$3o10$3o$obo$3o!


Here are some natural spaceships, of speeds c/4, 2c/8, 2c/48, and 11c/50 diagonal, as well as 3c/6 and 11c/25 orthogonal:
x = 59, y = 116, rule = B3-n4w/S23-r4qt
3bo$ob2o16b3o6b2o7b2o$obo20bo4bo2bo5bo2bo$bo19bob2o4bob2o5bob2o$24bo7b
o8bo$21bob2o4bob2o5bob2o$2bo2bo14bo2bo4bo2bo5bo2bo$2bob2o15b2o6b2o7b2o
$4bo$ob2o$obo35b2o$bo35bo2bo$38bob2o$41bo$bo36bob2o$b2o2bo31bo2bo$b2ob
2o32b2o$4bo$2b2o$b2o9$49bo$48b3o$47b5o$47bobobo$45b2ob3ob2o$2o42bo4bo
4bo$2o6bo35bobo5bobo$6b2o34b2o11b2o$6b2o33b2obo9bob2o$5bo34b6o7b6o$41b
2obo9bob2o$42b2o11b2o$44bobo5bobo$51bo2bo$52b2o4$44b2o5b2o$43bo2bo3bo
2bo$43bobo5bobo$41b4o7b4o$40bo2bo9bo2bo$40bo2bo9bo2bo$40bo2bo9bo2bo$
41b4o7b4o$43bobo5bobo$43bo2bo3bo2bo$44b9o$46bo3bo$46bo3bo$47b3o21$26b
3o$25bo3bo$25bo3bo$23b9o$22bo2bo3bo2bo$22bobo5bobo$23bo7b4o$32bo2bo$
19b2o11bo2bo$19b2o11bo2bo$20b4o7b4o$22bobo5bobo$22bo2bo3bo2bo$23b9o$
25bo3bo$25bo3bo$26b3o3$8b2o$8b3o$10bo$4b2o4b3o$3bo2bo3bo2bo$3bobo5bobo
$b4o7b4o$o2bo9bo2bo$o2bo9bo2bo$o2bo9bo2bo$b4o7b4o$3bobo5bobo$3bo2bo3bo
2bo$4b9o$6bo3bo$6bo3bo$7b3o!


There's a small c/4 diagonal wickstrecher:
x = 6, y = 18, rule = B3-n4w/S23-r4qt
2b2o$b2obo$o4bo$bob2o$2b2o9$4b2o$4bo$5bo$2ob2o$ob2o!


Along with various puffers at the speed of either of the replicators, there's an 8c/106 diagonal block puffer:
x = 24, y = 22, rule = B3-n4w/S23-r4qt
10b2o2b2o$9bo3bo$9b3obo5$20b2o$20b3o$10b2o9b3o$10b2o9b2o$11b2o7b2o$12b
2o5b2o$13b2o3b2o$14b5o$15b3o$16bo5$3o!


As for unnatural technology, here's a p200 ant gun:
x = 114, y = 41, rule = B3-n4w/S23-r4qt
22bo$21bobo$22bo4$11bo$10bobo9bo$11bo9b3o$22bo$21b3o$22bo$21b3o$11bo
10bo10bo78bo$9b2ob2o17b2ob2o75bobo$11bo21bo78bo12$bo9bo21bo78bo$obo6b
2ob2o17b2ob2o75bobo$bo9bo10bo10bo78bo$21b3o$22bo$21b3o$22bo$21b3o$22bo
3$11bo$10bobo$11bo!


A component (which can probably be adapted to add boats, tubs, loaves, beehives, etc):
x = 13, y = 14, rule = B3-n4w/S23-r4qt
2b2o$2b2o$ob2o4b2o$bo6bobo$10bobo$11b2o5$2o$b2o$3bo$b2o!


It is also worth noting that due to -B3n and +S4t, this rule's ants can eat eachother from the side:
x = 15, y = 7, rule = B3-n4w/S23-r4qt
12b3o$12b3o$11bo$bo10bo$ob2o$2b2o$2b2o!
I prefer Dani now, but Danny is fine seeing as it's my username and I've already made 4 too many accounts.
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Re: B3-n4w/S23-r4qt

Postby AbhpzTa » December 31st, 2017, 10:06 am

2 p23 ant guns:
x = 74, y = 59, rule = B3-n4w/S23-r4qt
4b2o8b3o4b3o8b2o$4b2o7bo3bo2bo3bo7b2o$b2o9bo12bo9b2o$3o9bo5b2o5bo9b3o$
b2o9bo12bo9b2o$4b2o7bo3bo2bo3bo7b2o9bo20bo$4b2o8b3o4b3o8b2o6bo2bo20bo
2bo$39b2o9bo6bo9b2o$38b2o3bo5bobo4bobo5bo3b2o$37b3o4bo3bo3bo2bo3bo3bo
4b3o$38b2o3bo5bobo4bobo5bo3b2o$39b2o9bo6bo9b2o$40bo2bo20bo2bo$43bo20bo
27$4b2o8b3o4b3o8b2o$4b2o7bo3bo2bo3bo7b2o$b2o9bo12bo9b2o$3o9bo5b2o5bo9b
3o$b2o9bo12bo9b2o$4b2o7bo3bo2bo3bo7b2o$4b2o8b3o4b3o8b2o37bo$40bo29bob
2o$46b2o16b2o4bo2bo$46b2o16b2o5bobo$44b4o16b4o$43bo4bo3bo6bo3bo4bo$43b
o3bobo2bo6bo2bobo3bo$43bo4bo3bo6bo3bo4bo$44b4o16b4o$46b2o16b2o5bobo$
46b2o16b2o4bo2bo$70bob2o$71bo!

The top (79x21) is smaller than the bottom (81x24).

EDIT: (7,0)c/48 p288 mod144 repship:
x = 1021, y = 495, rule = B3-n4w/S23-r4qt
514bo83bo237bo167bo$512b2ob2o79b2ob2o233b2ob2o163b2ob2o$514bo83bo237bo
167bo9$837b2o$514bo83bo238b2o165bo$512b2ob2o79b2ob2o157b3o241b2ob2o$
514bo83bo29b2o128bobo243bo$627bo130b3o$628b2o207b2o$629b2o206b2o$225bo
83bo$223b2ob2o79b2ob2o$225bo83bo5$758b3o81b3o$758bobo81bobo$758b3o81b
3o$467bo$465b2ob2o$225bo241bo$223b2ob2o$225bo791b2o$1018b2o$1020bo$
1018b2o5$299bo167bo$297b2ob2o163b2ob2o$299bo167bo4$10bo83bo$8b2ob2o79b
2ob2o$10bo83bo10$10bo83bo$8b2ob2o79b2ob2o$10bo83bo2$853b2o$855bo$853b
2o$852b2o15$2b2o$b2o$o$b2o3$514b2o$513bo$514b2o$515b2o15$987b2o$988b2o
$990bo$988b2o27$883b2o$885bo$883b2o$882b2o15$116b2o$115b2o$114bo$115b
2o3$400b2o$399bo$400b2o$401b2o15$957b2o$958b2o$960bo$958b2o27$913b2o$
915bo$913b2o$912b2o15$230b2o$229b2o$228bo$229b2o3$286b2o$285bo$286b2o$
287b2o15$927b2o$928b2o$930bo$928b2o27$943b2o$945bo$943b2o$942b2o15$
344b2o$343b2o$342bo$343b2o3$172b2o$171bo$172b2o$173b2o15$897b2o$898b2o
$900bo$898b2o27$973b2o$975bo$973b2o$972b2o15$458b2o$457b2o$456bo$457b
2o3$58b2o$57bo$58b2o$59b2o15$867b2o$868b2o$870bo$868b2o27$1003b2o$
1005bo$1003b2o$1002b2o7$105b2o17b2o$94bo10b2o17b2o10bo$92b2ob2o37b2ob
2o$94bo41bo5$572b2o$571b2o$570bo$571b2o2$94bo41bo$92b2ob2o37b2ob2o$94b
o10b2o17b2o10bo$105b2o17b2o2$394b2o17b2o$383bo10b2o17b2o10bo$381b2ob2o
37b2ob2o$383bo41bo7$152b2o17b2o63b2o17b2o$141bo10b2o17b2o10bo41bo10b2o
17b2o10bo$139b2ob2o37b2ob2o37b2ob2o37b2ob2o$141bo41bo41bo41bo115bo41bo
$381b2ob2o37b2ob2o409b2o$383bo10b2o17b2o10bo260b2o17b2o63b2o17b2o47b2o
$394b2o17b2o259b3o9b2o17b2o9b3o39b3o9b2o17b2o9b3o37bo$674bobo39bobo39b
obo39bobo35b2o$674b3o39b3o39b3o39b3o5$141bo41bo41bo41bo$139b2ob2o37b2o
b2o37b2ob2o37b2ob2o$141bo10b2o17b2o10bo41bo10b2o17b2o10bo$152b2o17b2o
63b2o17b2o2$609b2o17b2o44b3o39b3o39b3o39b3o128b2o17b2o$598bo10b2o17b2o
10bo33bobo39bobo39bobo39bobo117bo10b2o17b2o10bo$596b2ob2o37b2ob2o31b3o
9b2o17b2o9b3o39b3o9b2o17b2o9b3o115b2ob2o37b2ob2o$598bo41bo45b2o17b2o
63b2o17b2o129bo41bo10$598bo41bo279bo41bo$596b2ob2o37b2ob2o275b2ob2o37b
2ob2o$598bo10b2o17b2o10bo279bo10b2o17b2o10bo$609b2o17b2o301b2o17b2o!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: B3-n4w/S23-r4qt

Postby danny » September 25th, 2018, 7:30 pm

New p50:
x = 31, y = 19, rule = B3-n4w/S23-r4qt
2o24b2o$obo22bobo$2bobo18bobo$3b2o18b2o2$17b2o$18b2o$18b3o$8bo8bo3b2o$
6b2ob2o6b2obo8b2o$8bo8bo3b2o$18b3o$18b2o$17b2o2$3b2o18b2o$2bobo18bobo$
obo22bobo$2o24b2o!


Push reaction
x = 6, y = 9, rule = B3-n4w/S23-r4qt
b2o$3bo$b2o$2o2$4bo$3bobo$3bobo$4bo!


EDIT: Potential gunnable semi-p50:
x = 31, y = 26, rule = B3-n4w/S23-r4qt
17b2o$17bo$18b2o$20bo$19b2o3$3b2o$3bobo$5bobo$6b2o2$12b2o$11b2o$10b3o$
8b2o3bo8bo$2o8bob2o6b2ob2o$8b2o3bo8bo$10b3o$11b2o$12b2o2$6b2o18b2o$5bo
bo18bobo$3bobo22bobo$3b2o24b2o!

p36:
x = 40, y = 3, rule = B3-n4w/S23-r4qt
bo11b3o8b3o11bo$obo10bobo8bobo10bobo$bo11b3o8b3o11bo!
I prefer Dani now, but Danny is fine seeing as it's my username and I've already made 4 too many accounts.
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