Synthesis with LWSS?
Synthesis with LWSS?
I need the answer to these questions, please:
1. How many ways are there for 2 LWSS' to collide?
2. How many LWSS' does it take to make a glider, and how is it done?
1. How many ways are there for 2 LWSS' to collide?
2. How many LWSS' does it take to make a glider, and how is it done?
Re: Synthesis with LWSS?
Somewhere on the order of 100, give or take a factor of two.1. How many ways are there for 2 LWSS' to collide?
Two LWSSes fired antiparallel to each other can generate two perpendicular gliders, like so:2. How many LWSS' does it take to make a glider, and how is it done?
Code: Select all
x = 45, y = 4, rule = B3/S23
b4o35b4o$o3bo35bo3bo$4bo35bo$obbo37bobbo!
What do you do with ill crystallographers? Take them to the mono-clinic!
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Re: Synthesis with LWSS?
Here are two additiional head-on collisions that produce two gliders:
The following perpendicular collision produces a glider and a block:
My estimate for the number of 2-LWSS unique collisions is 50 to 100 after quite a bit of manual searching.
To produce a glider and nothing else a third element needs to be introduced such as an eater:
However, to answer question 2 directly:
I believe it takes three LWSSes to make a glider by itself.
A third LWSS can be used to get rid of the block or extra glider, or do something like this:
Code: Select all
x = 17, y = 44, rule = B3/S23
o2bo$4bo$o3bo$b4o2$12b4o$12bo3bo$12bo$13bo2bo31$12b4o$o2bo8bo3bo$4bo7b
o$o3bo8bo2bo$b4o!
Code: Select all
x = 13, y = 7, rule = B3/S23
o2bo$4bo$o3bo5bo$b4o4b3o$9bob2o$10b3o$10b2o!
To produce a glider and nothing else a third element needs to be introduced such as an eater:
Code: Select all
x = 23, y = 48, rule = B3/S23
18b4o$6bo2bo8bo3bo$10bo7bo$6bo3bo8bo2bo$7b4o9$2b2o$3bo$3o$o15$o$3o$3bo
$2b2o7$6bo2bo$10bo$6bo3bo5bo$7b4o4b3o$15bob2o$16b3o$16b2o!
I believe it takes three LWSSes to make a glider by itself.
A third LWSS can be used to get rid of the block or extra glider, or do something like this:
Code: Select all
x = 47, y = 42, rule = B3/S23
7bo2bo$11bo$7bo3bo$8b4o3$34bo2bo$38bo$34bo3bo5bo$35b4o4b3o$43bob2o$44b
3o$44b2o17$2b2o$2ob2o$4o$b2o3$33bo2bo$37bo$33bo3bo5bo$34b4o4b3o$42bob
2o$43b3o$43b2o!
Re: Synthesis with LWSS?
A while back someone asked about Life related projects suitable for a student Science Fair. Determining the answers to these questions would seem to be quite suitable, as no one knows the answers, but finding them should be fairly straightforward. (And resolving the minimal number of spaceships needed to create a Glider requires examining all the possible collisions.)
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Re: Synthesis with LWSS?
I find it hard to believe that in 39 years no one has investigated *WSS collisions systematically. While I did go through every possibility for a 2-LWSS collision there is always the nagging possibility that I missed something. Writing a program to exhausively search is the best way to collate the results, but it does take a while to make sure everything is 100% accurate and there are no bugs in the program. Missing collisions and duplicate collisions are the problem. BTW, I have started my own collision analysis beginning with glider-HWSS. Where are those long-time enthusiasts from the past who have already done this?hkoenig wrote:no one knows the answers
This is the most unusual 2-LWSS collision I found IMHO.
No chaos here:
Code: Select all
x = 18, y = 6, rule = B3/S23
b4o$o3bo$4bo9bo2bo$o2bo9bo$13bo3bo$13b4o!