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B3-enqy4e6k/S2-in3-cn4aqw and related

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B3-enqy4e6k/S2-in3-cn4aqw and related

Postby Rhombic » September 13th, 2017, 9:32 am

Just an example of a rule family with
a 2c/20 beehive at beehive,
the ant,
the termite (r-pent),
the pi-ship,
a weird xq22 diagonally hassled pi-ship,
five similar natural orthogonal xq8,
the fat (or queen) ant,
a weirder xq4_2013pno, the beetle.

The rule family has super-high frequency glider-turning collisions that appear naturally (e.g. termite 90º, termite-->B@B 90º, etc are very common). This rule also has something similar to the boat-bit behaviour but creates biblocks out of blocks. Soups tend to release loads of spaceships.

termite-->B@B:
x = 10, y = 9, rule = B3-enqy4e6k/S2-in3-cn4aqw
8b2o$8b2o5$3o$obo$2bo!

blockbit
x = 13, y = 10, rule = B3-enqy4e6k/S2-in3-cn4aqw
11b2o$11b2o6$bo$ob2o$2b2o!
x = 16, y = 10, rule = B3-enqy4e6k/S2-in3-cn4aqw
11b2ob2o$11b2ob2o6$bo$ob2o$2b2o!

ant-->termite 0º:
x = 15, y = 13, rule = B3-enqy4e6k/S2-in3-cn4aqw
2b2o$4bo$2b2o$b2o4$8b2o$8b2o!

Two more reactions:
x = 12, y = 28, rule = B3-enqy4e6k/S2-in3-cn4aqw
2bo$3bo$3o$3o5b2o$7bo2bo$8b2o12$3b2o$4bo$2b3o6$2b2ob2o$2b2ob2o!

---
The ant can drag a piship:
x = 6, y = 12, rule = B3-enqy4e6k/S2-in3-cn4aqw
4bo$2b2obo$2b2o$2b2o3$2b3o$2bo$2b3o2$o$o!
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Re: B3-enqy4e6k/S2-in3-cn4aqw and related

Postby Rhombic » September 13th, 2017, 4:03 pm

Extensible spaceship:
x = 43, y = 18, rule = B3-enqy4e6k/S2-in3-cn4aqw
41bo$40bobo$2bo36b2obo$bobo35bo$2obo35b2obo$o39bobo$2obo37bo$bobo$2bo$
5b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o$5b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o$2bo$
bobo$2obo$o$2obo$bobo$2bo!
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Re: B3-enqy4e6k/S2-in3-cn4aqw and related

Postby A for awesome » September 13th, 2017, 5:41 pm

Rhombic wrote:Extensible spaceship:
x = 43, y = 18, rule = B3-enqy4e6k/S2-in3-cn4aqw
41bo$40bobo$2bo36b2obo$bobo35bo$2obo35b2obo$o39bobo$2obo37bo$bobo$2bo$
5b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o$5b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o$2bo$
bobo$2obo$o$2obo$bobo$2bo!

Semi-related beehive-at-beehive backrake:
x = 43, y = 25, rule = B3-enqy4e6k/S2-in3-cn4aqw
9b2o$8b2o11bo$7b3o10b2o$2bo4bo11bo$b2o4b3o10b2o$o7b2o11bo$b2o6b2o$2bo
13b3o$16bobo$4b2o3b2o7b2o6b2o$4b2o3b2o7b2o6b2o$16bobo3b3o2bo$2bo18bo$b
2o6b2o10b3o3bo11b3o$o7b2o12b2ob3o11bob2o$b2o4b3o15b2o4b2o9bo$2bo4bo6b
3o14b2o8b2o$7b3o4bo$8b2o4b3o5bo$9b2o10b2o$20bo7b3o$21b2o5bobo$22bo4bo$
28bobo$28b3o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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Re: B3-enqy4e6k/S2-in3-cn4aqw and related

Postby Rhombic » September 13th, 2017, 6:04 pm

Can be arranged for a spaceship:
x = 46, y = 65, rule = B3-enqy4e6k/S2-in3-cn4aqw
28b3o$28bobo$22bo4bo$21b2o5bobo$20bo7b3o$9b2o10b2o$8b2o4b3o5bo$7b3o4bo
$2bo4bo6b3o14b2o8b2o$b2o4b3o15b2o4b2o9bo$o7b2o12b2ob3o11bob2o$b2o6b2o
10b3o3bo11b3o$2bo18bo$16bobo3b3o2bo$4b2o3b2o7b2o6b2o$4b2o3b2o7b2o6b2o$
16bobo$2bo13b3o$b2o6b2o$o7b2o11bo$b2o4b3o10b2o$2bo4bo11bo$7b3o10b2o$8b
2o11bo$9b2o16$8bo12b3o$8bobo10bobo$2b3o2bo12bo$2bobo3bobo10bobo$bo6bo
12b3o$2bobo$2b3o$11bo$6b2o3b2o$6b2o3b2o7b3o4bo$11bo8b2o2b2o3bo$2b3o15b
2obobo17b2o$2bobo18bob2ob2o11b2o2bo$bo6bo17bo2b2o12bobo$2bobo3bobo5b2o
6bo2bob2o2b2o7bobo$2b3o2bo7b3o10bo4b2o9bo$8bobo4bo$8bo6b3o4b3o$16b2o4b
obo5b2o$21bo7b2o$22bobo3b3o$22b3o3bo$28b3o$29b2o$30b2o!


Can read blocks, or push them:
x = 74, y = 65, rule = B3-enqy4e6k/S2-in3-cn4aqw
56b3o$56bobo$50bo4bo$49b2o5bobo$48bo7b3o$37b2o10b2o$36b2o4b3o5bo$35b3o
4bo$30bo4bo6b3o14b2o8b2o$29b2o4b3o15b2o4b2o9bo$28bo7b2o12b2ob3o11bob2o
$29b2o6b2o10b3o3bo11b3o$30bo18bo$44bobo3b3o2bo$32b2o3b2o7b2o6b2o$32b2o
3b2o7b2o6b2o$44bobo$30bo13b3o$29b2o6b2o$28bo7b2o11bo$29b2o4b3o10b2o$
30bo4bo11bo$35b3o10b2o$36b2o11bo$37b2o7$2o$2o8$36bo12b3o$36bobo10bobo$
30b3o2bo12bo$30bobo3bobo10bobo$29bo6bo12b3o$30bobo$30b3o$39bo$34b2o3b
2o$34b2o3b2o7b3o4bo$39bo8b2o2b2o3bo$30b3o15b2obobo17b2o$30bobo18bob2ob
2o11b2o2bo$29bo6bo17bo2b2o12bobo$30bobo3bobo5b2o6bo2bob2o2b2o7bobo$30b
3o2bo7b3o10bo4b2o9bo$36bobo4bo$36bo6b3o4b3o$44b2o4bobo5b2o$49bo7b2o$
50bobo3b3o$50b3o3bo$56b3o$57b2o$58b2o!
Play around with the positioning of the block so that you can tell it can produce clean output signals.


This failed aperiodicity shows a block pull reaction, creating a growing spaceship:
x = 127, y = 104, rule = B3-enqy4e6k/S2-in3-cn4aqw
96b3o$96bobo$99bo4bo$96bobo5b2o$96b3o7bo$104b2o10b2o$104bo5b3o4b2o$
112bo4b3o$84b2o8b2o14b3o6bo4bo$84bo9b2o4b2o15b3o4b2o$84b2obo11b3ob2o
12b2o7bo$85b3o11bo3b3o10b2o6b2o$105bo18bo$99bo2b3o3bobo$99b2o6b2o7b2o
3b2o$99b2o6b2o7b2o3b2o$28b3o77bobo$28bobo77b3o13bo$22bo4bo88b2o6b2o$
21b2o5bobo74bo11b2o7bo$20bo7b3o74b2o10b3o4b2o$9b2o10b2o84bo11bo4bo$8b
2o4b3o5bo82b2o10b3o$7b3o4bo90bo11b2o$2bo4bo6b3o14b2o8b2o73b2o$b2o4b3o
15b2o4b2o9bo$o7b2o12b2ob3o11bob2o$b2o6b2o10b3o3bo11b3o$2bo18bo$16bobo
3b3o2bo$4b2o3b2o7b2o6b2o$4b2o3b2o7b2o6b2o$16bobo$2bo13b3o$b2o6b2o$o7b
2o11bo$b2o4b3o10b2o$2bo4bo11bo$7b3o10b2o$8b2o11bo$9b2o21$81b3o$81bob2o
$84bo$83b2o7$81b2o$81b2o$73b2ob2o$73bo3bo$73b2ob2o$75bo7b2ob3o$82b2o3b
2o$82b2o$86bo$83b2obo$75b2ob2o3b2obo$76bobo5b2o6b2ob2o$77bo15bobo$87b
2o5bo$86b5o$90bo$79bobo4bo2b2o$79bobo$79b3o4$78bo5bo2b2o2bo5bo$78b3ob
3o2b2o2b3ob3o$79b2ob2o8b2ob2o$80b3o10b3o2$87b2o$87b2o2$81b2ob2o4b2ob2o
$82bobo6bobo$83bo8bo!
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