ConwayLife.com

MathAndCode wrote: June 17th, 2021, 7:32 pm

A for awesome wrote: May 5th, 2021, 2:11 pmIt's in jslife — osc/o0004.lif, right side, top row, second from left.

What about this related oscillator? I didn't see it in jslife.

Code: Select all

x = 30, y = 64, rule = B3/S23
11b2o9b2o$10bo2bo7bo2bo$8bo2b2o2bo3bo2b2o2bo$8b3o2b3o3b3o2b3o$11bo11b
o$8b2o3b3o3b3o3b2o$8bo2b3o2bobo2b3o2bo$9b3ob4ob4ob3o$12bo9bo$9b2obobo
bobobobob2o$9b2ob2o7b2ob2o$16bobo$9b5ob2ob2ob5o$8bo4b3o3b3o4bo$8bob2o
2bobobobo2b2obo$7b2ob3o2bo3bo2b3ob2o$8bo3bobo5bobo3bo$6bobobob4o3b4ob
obobo$5bobob3o2b3ob3o2b3obobo$5bobo6bo5bo6bobo$6bobob2o2b2o3b2o2b2obo
bo$8bo4b3o3b3o4bo$8bob2o11b2obo$6b2obobo5bo5bobob2o$7bobo2b2obo3bob2o
2bobo$7bo5b2o5b2o5bo$8b2obo2b2o3b2o2bob2o$16b3o3$15b2o$15b2o$15bo$14b
o$13bo$12bo2$3b2o4bo5bo4b2o$2bob4o2b5o2b4obo$2bo4bo9bo4bo$b2obo15bob2o
$3bobo3bo5bo3bobo$3bobob3o5b3obobo$bob2o2b3o5b3o2b2obo$obo3b2o9b2o3bo
bo$obob2ob2ob2ob2ob2ob2obobo$bobo3bo9bo3bobo$3bobo2bobo3bobo2bobo$2b2o
bo4bo3bo4bob2o$3bo2bo3bo3bo3bo2bo$3bo3bo9bo3bo$4b6obobob6o$11bobo$4b2o
b2ob2ob2ob2ob2o$4b2obo9bob2o$8bo2bobo2bo$4b3o4bobo4b3o$3bo2b3o2bobo2b
3o2bo$3b4ob3o3b3ob4o$7bo9bo$3b3o2b3o3b3o2b3o$3bo2b2o2bo3bo2b2o2bo$5bo
2bo7bo2bo$6b2o9b2o!

x = 32, y = 24, rule = B3/S23
15bo5bo$13bobo5bobo$14bobo3bobo$14bo3bo3bo$6b2o21b2o$7bob2o4bo5bo4b2ob
o$5bo7bo2bo3bo2bo7bo$5b2o2bobobobob3obobobobo2b2o$10bo15bo2$16b2o$16b
2o$16bo$15bo$14bo$6bo6bo6bo$2o3bo2bo9bo2bo3b2o$o2b2obobobo5bobobob2o2b
o$11b5o$bobo19bobo$2bo6bo7bo6bo$9bobo3bobo$8bobo5bobo$10bo5bo!

hotdogPi wrote: June 23rd, 2021, 12:55 pm I assume this century eater must be known? I would think it would have to be except the wiki page on century eater has 20 cells, and this has 4.

Tropylium wrote: July 11th, 2012, 9:39 amthree recreated block reactions, alas the first two only produce sparks in addition

Code: Select all

x = 7, y = 5, rule = b3/s23
2o$2o$5bo$4b3o$3b2o!

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x = 8, y = 3, rule = b3/s23
6bo$2o3b3o$2o2b2o!

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x = 9, y = 15, rule = b3/s23
2o$2o11$7bo$6b3o$5b2o!

MathAndCode wrote: September 2nd, 2020, 8:05 pmThere are at least three ways in which a block can eat a century.

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x = 8, y = 3, rule = LifeHistory
2.2A2.2E$3A3.2E$.A!

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x = 7, y = 5, rule = LifeHistory
2.2A$3A$.A$5.2E$5.2E!

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x = 8, y = 3, rule = LifeHistory
6.2A$2E2.3A$2E3.A!

Inferno wrote: June 25th, 2021, 9:08 am Is the rotor in this oscillator known?

x = 14, y = 14, rule = B3/S23
5b2o$5b2o2$5b4o$4bo4bo$3bob2obobob2o$3bo2b3obob2o$2obob3o2bo$2obobob2o
bo$4bo4bo$5b4o2$7b2o$7b2o!

Inferno wrote: June 25th, 2021, 9:08 amIs the rotor in this oscillator known? ...

Null wrote: June 25th, 2021, 9:20 amIt's in jslife: ...

Inferno wrote: June 25th, 2021, 9:07 pm Here's another odd oscillator I found, is it known? It has a period of 7 and fluctuates between 49 and 51 cells.

Inferno wrote: June 25th, 2021, 9:07 pm Here's another odd oscillator I found, is it known? It has a period of 7 and fluctuates between 49 and 51 cells.

Code: Select all

x = 14, y = 14, rule = B3/S23
6b2o$6b2o2$4b6o$3bo4bobo$3bob2o3bo$2obobo3b2ob2o$2obobobo2bob2o$3bob4o
bo$3bo6bo$4b6o2$6b2o$6b2o!

x = 29, y = 14, rule = B3/S23
21b2o$21b2o2$19b6o$5bo12bo4bobo$4bobo11bob2o3bo$3bobobo7b2obobo3b2ob2o
$3bobobo7b2obobobo2bob2o$2obob3ob2o7bob4obo$2obo4bobo7bo6bo$4b4o11b6o
2$4b2o15b2o$4b2o15b2o!

bibunsekibun wrote: June 25th, 2021, 9:17 pm
It is a variant of Burloaferimeter.

Inferno wrote: June 25th, 2021, 9:07 pm Here's another odd oscillator I found, is it known? It has a period of 7 and fluctuates between 49 and 51 cells.

Code: Select all

x = 14, y = 14, rule = B3/S23
6b2o$6b2o2$4b6o$3bo4bobo$3bob2o3bo$2obobo3b2ob2o$2obobobo2bob2o$3bob4o
bo$3bo6bo$4b6o2$6b2o$6b2o!

hkoenig wrote: June 25th, 2021, 10:20 pm It sounds like there is a need for a searchable database with an index keyed to the Hickerson Rotor Descriptor.

User enters in an oscillator in RLE or apgcode format. The interface or server/backend calculates the HRD and retrieves all the oscillators that match. Display graphically or provide RLE or provide list of apgcodes.

A rotor descriptor is a compact, but human-readable, description of the
rotor of an oscillator. It shows the size and shape of the rotor, how
many neighbors in the stator each rotor cell has, and what gen 0 looks
like. For example, the rotor descriptor for aVerage (LifeLine 9.3,
SC 5.1.2) is:

p5 r9 3x5 .2..B 30@@@ .2..B

The first 3 'words' mean period 5, with a rotor consisting of 9 cells in
a 3x5 rectangle. (The orientation is always chosen so that the rectangle
is at least as wide as it is tall.) The rest of it is a picture of the
rotor in one generation, with each word representing 1 row:

.2..B
30@@@
.2..B

The characters other than periods indicate rotor cells. Digits 0 to 3
indicate cells that are dead in gen 0; characters '@', 'A', 'B', and 'C'
indicate live cells in gen 0. (If you're using a rule other than Life,
you may see digits larger than 3 and letters after 'C'.) If you change
'@' to '0', 'A' to '1', 'B' to '2', and 'C' to '3', you get:

.2..2
30000
.2..2

Each number tells how many live neighbors that rotor cell has in the
stator. With this information, it's fairly easy to determine what
the rotor looks like in every generation, without having to construct
the stator. (Finding a minimal stator is still pretty tedious, even
with the help of lifesrc.)

A given oscillator will have many different rotor descriptors: You can
change the orientation and choose which phase is gen 0. The program
computes all of them and chooses the one that's lexicographically
smallest, with '.' < '0' < '1' < '2' < '3' < '@' < 'A' < 'B' < 'C'.

The file "knownrotors" contains a list of rotor descriptors and names
of oscillators. Usually these are given on 1 line, with 1 or more tabs
in between. But if the rotor is large, then the rotor descriptor can
have carriage returns within it or after it. (The spaces must still be
present.) The name must fit on 1 line. For example:

p3 r7 3x4 .1.C A.A. 1A1. protein (DJB #6)

p4 r28 7x7 .1.0.1. A.101.A .A.@.A. 0@@.@@0 .A.@.A. A.101.A .1.0.1.
monogram (SC 4.0.2)

p14 r24 8x9 ........3 ....A.A.1 ...10@@1. ...3.21A. .AA....3. A.1......
0@@2..... B.A...... new 14.0.1

The name usually contains a reference to where the oscillator can be found,
either in the stamp collection ("SC"), or in David Buckingham's oscillator
collection ("DJB #"), or in the collection of billiard tables found by
dr.c ("new").

dvgrn wrote: June 27th, 2021, 1:18 pm This is a commonly-used trick to reduce the period of many oscillators with signals traveling in a loop. See for example many of the guns in the glider guns thread.

I've moved this series of posts to the "unsure discoveries" thread, since it doesn't seem to need its own thread.

MathAndCode wrote: June 27th, 2021, 4:33 pm Is this slow component known?

Code: Select all

x = 11, y = 16, rule = B3/S23
obo$b2o$bo$8bobo$8b2o$9bo5$6bob2o$6b2obo2$6b3o$6bo2bo$8b2o!

dvgrn wrote: June 27th, 2021, 4:40 pmUse 10 cells (two gliders) to add nine cells? Sure doesn't look familiar to me. That size of addition with only two gliders is pretty unusual, isn't it?

x = 19, y = 17, rule = B3/S23
obo$b2o$bo$8bobo5bo$8b2o4b2o$9bo5b2o5$6bob2o$6b2obo$16b2o$6b3o7bobo$4bo2bo8bo$4b2o3bo$8b2o!

x = 11, y = 11, rule = B3/S23
b2o6b2o$o2bo5bo$bobo3bo$bob2o2b3o$2bo2bo$2b2obo2$2b3o$o2bo$2o3bo$4b2o!

x = 7, y = 9, rule = B3/S23
3bo$bobo$2bo2$obo$2obob2o$3bobo$3bobo$4bo!

nokangaroo wrote: March 27th, 2021, 8:22 pm Arbitrary-period 14tick inserter

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RLE

x = 128, y = 175, rule = B3/S23
125bobo$125b2o$126bo20$13bo$11bobo$12b2o5$60b2o$60b2o$45b2o$46bo$46bob
o$36bo10b2o$34b3o$33bo$33b2o$18b2o$19bo46b2o$19bob2o43bo$20bo2bo23bo
19b3o$21b2o24bo21bo$36b2o9b3o$36b2o11bo14b2o$64b2o4$44bo3b2o$43bobo3bo
$39b2obobo3bo$39b2obo4bo$43b5obo$35b2obob2obo4bobo3b2o$35bob2obo2bob2o
2bo3bobo$28b2o12b2obob2o4bo$28b2o22b2o3$70bo3b2o$69bobo3bo$69b2o3bo$
73bo$69b5obo$69bo4bobo$70b3obobo$72bob2o40$8bo$8b2o$7bobo5$bo$b2o$obo
54$63b3o$63bo2bo$63bo$63bo$64bobo!

MathAndCode wrote: June 27th, 2021, 4:45 pm Another edit: Is this converter known?

Code: Select all

x = 7, y = 9, rule = B3/S23
3bo$bobo$2bo2$obo$2obob2o$3bobo$3bobo$4bo!

It looks like it might be useful for Snark syntheses.

x = 47, y = 10, rule = B3/S23
35bo$ob2o32b2o$b3o5b2o24b3o5b2o$8bobo31bobo$8bo33bo$obo3b2ob4o21bobo3b
2ob4o$2obobobobo2bo21b2obobobobo2bo$3bobobobo27bobobobo$3bobob2o28bobo
b2o$4bo33bo!

x = 765, y = 731, rule = B3/S23
2o3b2o$2o3bobo$5bo11$15b2o$15bobo$15bo5$22b2o$22bobo$22bo12b2o$35bobo$
35bo3$26b2o$25b2o6b2o$27bo4b2o$34bo4$39b2o$39bobo$39bo7$52b2o$52bobo$
52bo4$72b2o$67b2o2b2o$66b2o5bo$68bo4$67b2o$67bobo$67bo4$69b2o$68b2o$
70bo$74b2o$74bobo$74bo5$79b2o$79bobo$79bo13$97b2o$97bobo$97bo$93b2o$
93bobo$93bo4$97b2o$97bobo$97bo11$107b2o$107bobo$107bo11$116b2o$116bobo
$116bo4$132b2o$132bobo$132bo8$144b2o$144bobo$144bo5$158b2o$158bobo$
158bo3$162b2o$161b2o$163bo11$172b2o$171b2o$173bo2$179b2o$178b2o$180bo
3$179b2o$178b2o$180bo$190b2o$189b2o$191bo$186b2o$186bobo$186bo11$201b
2o$200b2o$202bo6$210b2o$210bobo$210bo5$223b2o$223bobo$223bo6$217b2o$
216b2o$218bo10$228b2o$227b2o$229bo11$256b2o$255b2o$257bo3$264b2o$245b
2o17bobo$245bobo16bo$245bo$268b2o$268bobo$268bo$251b2o3b2o$250b2o4bobo
$252bo3bo3$252b2o$252bobo$252bo$302b2o$301b2o$303bo3$273b2o$273bobo$
273bo3$315b2o$314b2o$316bo2$329b2o$329bobo$329bo$277b2o$277bobo$277bo
19b2o33b2o$297bobo32bobo$297bo34bo3$327b2o$326b2o$328bo6$284b2o$284bob
o10b2o$284bo12bobo$297bo29b2o$326b2o$289b2o37bo$289bobo$289bo$355b2o$
355bobo$355bo4$308b2o$308bobo27b2o$308bo29bobo$338bo7$343b2o$342b2o$
344bo2$319b2o$319bobo$319bo2$324b2o32b2o$323b2o32b2o$325bo33bo2$321b2o
$321bobo$321bo$353b2o$352b2o$354bo$363b2o$362b2o$364bo3$355b2o$354b2o$
331b2o23bo$331bobo33b2o$331bo35bobo$367bo4$381b2o$344b2o35bobo$343b2o
36bo$345bo5$337b2o$337bobo$337bo2$350b2o10b2o$350bobo8b2o$350bo12bo12$
362b2o$361b2o$363bo12$391b2o$390b2o$368b2o22bo$368bobo$368bo11$398b2o$
397b2o$399bo9b2o$408b2o$410bo$401b2o$400b2o$402bo2$416b2o$415b2o$417bo
2$421b2o$421bobo$421bo3$414b2o$413b2o$415bo3$434b2o$434bobo$434bo6$
437b2o$437bobo$437bo5$441b2o$440b2o$442bo$447b2o3b2o3b2o$447bobo2bobob
2o$447bo4bo5bo15$467b2o$467bobo$467bo3$471b2o$471bobo$471bo6$486b2o$
486bobo$486bo5$481b2o$481bobo$481bo6$489b2o$488b2o$490bo19$512b2o$512b
obo7b2o$512bo8b2o$523bo5$521b2o$520b2o$522bo2$514b2o$513b2o$515bo$537b
2o$537bobo$537bo11$563b2o$563bobo$563bo4$567b2o$567bobo$567bo5$584b2o$
584bobo$584bo$588b2o$588bobo$588bo3$575b2o$575bobo$575bo$581b2o$581bob
o$581bo6$587b2o$587bobo$587bo6$592b2o$592bobo$592bo8$607b2o$607bobo$
607bo3$600b2o$600bobo$600bo3$612b2o$611b2o$613bo3$611b2o$610b2o$612bo
2$615b2o$614b2o$616bo14$625b3o$625bo$626bo22$678b3o$678bo$679bo32$686b
2o$686bobo$686bo8$712b3o$712bo$713bo20$724b2o$724bobo$724bo14$762b2o$
762bobo$762bo!